Dear users,
I am trying to estimate a Mixed MDCEV with only random ASC. The model does only an iteration zero and then stops with coefficients equal to their starting values. The output is displayed below, the warning says "function evaluation limit". I have 315 th. observations, with a panel structure. I tried with different number of cores and with different starting values, without success. Is it a problem related to the power of my computer? or is it something with the model specification? thanks for any help.
Iterates will be written to:
output/Mixed_MDCEV_iterations.csv
it nf F RELDF PRELDF RELDX MODEL stppar
0 1 3.034985873e+06
***** Function evaluation limit *****
WARNING: Function evaluation limit exceeded. No covariance matrix will be computed. You may wish to use the
current estimates as starting values for a new estimation with a higher limit for functional
evaluations.
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Function evaluation limit exceeded.
-
stephanehess
- Site Admin
- Posts: 1085
- Joined: 24 Apr 2020, 16:29
Re: Function evaluation limit exceeded.
This is likely due to numerical issues. Have you tried with a simpler model specification first, and using a subset of the data?
Re: Function evaluation limit exceeded.
Dear Stephane,
I am using a very simple specification, only random ASC for the eight alternatives, and I also tried with just 1% of the observations. Same result.
I tried apollo_searchStart for Starting value search, I tried with different estimation algorithm, and I tried to act on tolerance inside maxLik_settings. Nothing works. I copy my code below.
Thanks for any help.
R code:
library(apollo)
### Clear memory
rm(list = ls())
### load data:
database<-read_csv("data.csv")
### Initialise code
apollo_initialise()
### Set core controls
apollo_control = list(
modelName ="Mixed_MDCEV",
modelDescr = "MMDCEV model",
indivID = "id_hh",
outputDirectory = "output",
nCores = 4 ,
panelData = TRUE
)
### Vector of parameters, including any that are kept fixed in estimation
apollo_beta = c(alpha_base = -0.1,
gamma_CERE = 1, gamma_CONF = 1,
gamma_DAIR = 1, gamma_DRIN = 1,
gamma_FRUI = 1, gamma_MEAT = 1,
gamma_FISH = 1, gamma_OTHE = 1,
delta_CERE_mu = 0, delta_CONF_mu = 0,
delta_DAIR_mu = 0, delta_DRIN_mu = 0,
delta_FRUI_mu = 0, delta_MEAT_mu = 0,
delta_FISH_mu = 0,
delta_CERE_sigma = 0, delta_CONF_sigma = 0,
delta_DAIR_sigma = 0, delta_DRIN_sigma = 0,
delta_FRUI_sigma = 0, delta_MEAT_sigma = 0,
delta_FISH_sigma = 0,
sig = 1)
### Vector with names (in quotes) of parameters to be kept fixed at their starting value in apollo_beta, use apollo_beta_fixed = c() if none
apollo_fixed = c()
### Set parameters for generating draws
apollo_draws = list(
interDrawsType = "mlhs",
interNDraws = 50,
interUnifDraws = c(),
interNormDraws = paste0("draws_", c("CERE" ,
"CONF" ,
"DAIR" ,
"DRIN" ,
"FRUI" ,
"MEAT" ,
"FISH"
)),
intraDrawsType = "",
intraNDraws = 0,
intraUnifDraws = c(),
intraNormDraws = c()
)
### Create random parameters
apollo_randCoeff = function(apollo_beta, apollo_inputs){
randcoeff = list()
randcoeff[["delta_CERE"]] = delta_CERE_mu + delta_CERE_sigma *draws_CERE
randcoeff[["delta_CONF"]] = delta_CONF_mu + delta_CONF_sigma *draws_CONF
randcoeff[["delta_DAIR"]] = delta_DAIR_mu + delta_DAIR_sigma *draws_DAIR
randcoeff[["delta_DRIN"]] = delta_DRIN_mu + delta_DRIN_sigma *draws_DRIN
randcoeff[["delta_FRUI"]] = delta_FRUI_mu + delta_FRUI_sigma *draws_FRUI
randcoeff[["delta_MEAT"]] = delta_MEAT_mu + delta_MEAT_sigma *draws_MEAT
randcoeff[["delta_FISH"]] = delta_FISH_mu + delta_FISH_sigma *draws_FISH
randcoeff[["delta_OTHE"]] = 0
return(randcoeff)
}
apollo_inputs = apollo_validateInputs()
apollo_probabilities=function(apollo_beta, apollo_inputs, functionality="estimate"){
### Attach inputs and detach after function exit
apollo_attach(apollo_beta, apollo_inputs)
on.exit(apollo_detach(apollo_beta, apollo_inputs))
### Create list of probabilities P
P = list()
alternatives = c("CERE" ,
"CONF" ,
"DAIR" ,
"DRIN" ,
"FRUI" ,
"MEAT" ,
"FISH" ,
"OTHE"
)
### Define availabilities
avail = list(CERE = 1 ,
CONF = 1 ,
DAIR = 1 ,
DRIN = 1 ,
FRUI = 1 ,
MEAT = 1 ,
FISH = 1 ,
OTHE = 1
)
### Define continuous consumption for individual alternatives
continuousChoice = list(CERE = volumeCERE ,
CONF = volumeCONF ,
DAIR = volumeDAIR ,
DRIN = volumeDRIN ,
FRUI = volumeFRUI ,
MEAT = volumeMEAT ,
FISH = volumeFISH ,
OTHE = volumeOTHE )
### Define utilities for individual alternatives
V = list()
V[["CERE"]] = delta_CERE
V[["CONF"]] = delta_CONF
V[["DAIR"]] = delta_DAIR
V[["DRIN"]] = delta_DRIN
V[["FRUI"]] = delta_FRUI
V[["MEAT"]] = delta_MEAT
V[["FISH"]] = delta_FISH
V[["OTHE"]] = delta_OTHE
### Define alpha parameters
alpha = list(CERE = 1 - exp(-alpha_base) ,
CONF = 1 - exp(-alpha_base) ,
DAIR = 1 - exp(-alpha_base) ,
DRIN = 1 - exp(-alpha_base) ,
FRUI = 1 - exp(-alpha_base) ,
MEAT = 1 - exp(-alpha_base) ,
FISH = 1 - exp(-alpha_base) ,
OTHE = 1 - exp(-alpha_base)
)
### Define gamma parameters
gamma = list(CERE = gamma_CERE ,
CONF = gamma_CONF ,
DAIR = gamma_DAIR ,
DRIN = gamma_DRIN ,
FRUI = gamma_FRUI ,
MEAT = gamma_MEAT ,
FISH = gamma_FISH ,
OTHE = gamma_OTHE
)
### Define costs for individual alternatives
cost = list(CERE = priceCERE ,
CONF = priceCONF ,
DAIR = priceDAIR ,
DRIN = priceDRIN ,
FRUI = priceFRUI ,
MEAT = priceMEAT ,
FISH = priceFISH ,
OTHE = priceOTHE
)
### Define settings for MDCEV model
mdcev_settings <- list(alternatives = alternatives,
avail = avail,
continuousChoice = continuousChoice,
utilities = V,
alpha = alpha,
gamma = gamma,
sigma = sig,
cost = cost,
budget = exp_week)
### Compute probabilities using MDCEV model
P[["model"]] = apollo_mdcev(mdcev_settings, functionality)
### Take product across observation for same individual
P = apollo_panelProd(P, apollo_inputs, functionality)
### Average across inter-individual draws
P = apollo_avgInterDraws(P, apollo_inputs, functionality)
### Prepare and return outputs of function
P = apollo_prepareProb(P, apollo_inputs, functionality)
return(P)
}
model = apollo_estimate(apollo_beta, apollo_fixed, apollo_probabilities, apollo_inputs)
modelOutput_settings=list(printPVal=2)
apollo_modelOutput(model, modelOutput_settings)
I am using a very simple specification, only random ASC for the eight alternatives, and I also tried with just 1% of the observations. Same result.
I tried apollo_searchStart for Starting value search, I tried with different estimation algorithm, and I tried to act on tolerance inside maxLik_settings. Nothing works. I copy my code below.
Thanks for any help.
R code:
library(apollo)
### Clear memory
rm(list = ls())
### load data:
database<-read_csv("data.csv")
### Initialise code
apollo_initialise()
### Set core controls
apollo_control = list(
modelName ="Mixed_MDCEV",
modelDescr = "MMDCEV model",
indivID = "id_hh",
outputDirectory = "output",
nCores = 4 ,
panelData = TRUE
)
### Vector of parameters, including any that are kept fixed in estimation
apollo_beta = c(alpha_base = -0.1,
gamma_CERE = 1, gamma_CONF = 1,
gamma_DAIR = 1, gamma_DRIN = 1,
gamma_FRUI = 1, gamma_MEAT = 1,
gamma_FISH = 1, gamma_OTHE = 1,
delta_CERE_mu = 0, delta_CONF_mu = 0,
delta_DAIR_mu = 0, delta_DRIN_mu = 0,
delta_FRUI_mu = 0, delta_MEAT_mu = 0,
delta_FISH_mu = 0,
delta_CERE_sigma = 0, delta_CONF_sigma = 0,
delta_DAIR_sigma = 0, delta_DRIN_sigma = 0,
delta_FRUI_sigma = 0, delta_MEAT_sigma = 0,
delta_FISH_sigma = 0,
sig = 1)
### Vector with names (in quotes) of parameters to be kept fixed at their starting value in apollo_beta, use apollo_beta_fixed = c() if none
apollo_fixed = c()
### Set parameters for generating draws
apollo_draws = list(
interDrawsType = "mlhs",
interNDraws = 50,
interUnifDraws = c(),
interNormDraws = paste0("draws_", c("CERE" ,
"CONF" ,
"DAIR" ,
"DRIN" ,
"FRUI" ,
"MEAT" ,
"FISH"
)),
intraDrawsType = "",
intraNDraws = 0,
intraUnifDraws = c(),
intraNormDraws = c()
)
### Create random parameters
apollo_randCoeff = function(apollo_beta, apollo_inputs){
randcoeff = list()
randcoeff[["delta_CERE"]] = delta_CERE_mu + delta_CERE_sigma *draws_CERE
randcoeff[["delta_CONF"]] = delta_CONF_mu + delta_CONF_sigma *draws_CONF
randcoeff[["delta_DAIR"]] = delta_DAIR_mu + delta_DAIR_sigma *draws_DAIR
randcoeff[["delta_DRIN"]] = delta_DRIN_mu + delta_DRIN_sigma *draws_DRIN
randcoeff[["delta_FRUI"]] = delta_FRUI_mu + delta_FRUI_sigma *draws_FRUI
randcoeff[["delta_MEAT"]] = delta_MEAT_mu + delta_MEAT_sigma *draws_MEAT
randcoeff[["delta_FISH"]] = delta_FISH_mu + delta_FISH_sigma *draws_FISH
randcoeff[["delta_OTHE"]] = 0
return(randcoeff)
}
apollo_inputs = apollo_validateInputs()
apollo_probabilities=function(apollo_beta, apollo_inputs, functionality="estimate"){
### Attach inputs and detach after function exit
apollo_attach(apollo_beta, apollo_inputs)
on.exit(apollo_detach(apollo_beta, apollo_inputs))
### Create list of probabilities P
P = list()
alternatives = c("CERE" ,
"CONF" ,
"DAIR" ,
"DRIN" ,
"FRUI" ,
"MEAT" ,
"FISH" ,
"OTHE"
)
### Define availabilities
avail = list(CERE = 1 ,
CONF = 1 ,
DAIR = 1 ,
DRIN = 1 ,
FRUI = 1 ,
MEAT = 1 ,
FISH = 1 ,
OTHE = 1
)
### Define continuous consumption for individual alternatives
continuousChoice = list(CERE = volumeCERE ,
CONF = volumeCONF ,
DAIR = volumeDAIR ,
DRIN = volumeDRIN ,
FRUI = volumeFRUI ,
MEAT = volumeMEAT ,
FISH = volumeFISH ,
OTHE = volumeOTHE )
### Define utilities for individual alternatives
V = list()
V[["CERE"]] = delta_CERE
V[["CONF"]] = delta_CONF
V[["DAIR"]] = delta_DAIR
V[["DRIN"]] = delta_DRIN
V[["FRUI"]] = delta_FRUI
V[["MEAT"]] = delta_MEAT
V[["FISH"]] = delta_FISH
V[["OTHE"]] = delta_OTHE
### Define alpha parameters
alpha = list(CERE = 1 - exp(-alpha_base) ,
CONF = 1 - exp(-alpha_base) ,
DAIR = 1 - exp(-alpha_base) ,
DRIN = 1 - exp(-alpha_base) ,
FRUI = 1 - exp(-alpha_base) ,
MEAT = 1 - exp(-alpha_base) ,
FISH = 1 - exp(-alpha_base) ,
OTHE = 1 - exp(-alpha_base)
)
### Define gamma parameters
gamma = list(CERE = gamma_CERE ,
CONF = gamma_CONF ,
DAIR = gamma_DAIR ,
DRIN = gamma_DRIN ,
FRUI = gamma_FRUI ,
MEAT = gamma_MEAT ,
FISH = gamma_FISH ,
OTHE = gamma_OTHE
)
### Define costs for individual alternatives
cost = list(CERE = priceCERE ,
CONF = priceCONF ,
DAIR = priceDAIR ,
DRIN = priceDRIN ,
FRUI = priceFRUI ,
MEAT = priceMEAT ,
FISH = priceFISH ,
OTHE = priceOTHE
)
### Define settings for MDCEV model
mdcev_settings <- list(alternatives = alternatives,
avail = avail,
continuousChoice = continuousChoice,
utilities = V,
alpha = alpha,
gamma = gamma,
sigma = sig,
cost = cost,
budget = exp_week)
### Compute probabilities using MDCEV model
P[["model"]] = apollo_mdcev(mdcev_settings, functionality)
### Take product across observation for same individual
P = apollo_panelProd(P, apollo_inputs, functionality)
### Average across inter-individual draws
P = apollo_avgInterDraws(P, apollo_inputs, functionality)
### Prepare and return outputs of function
P = apollo_prepareProb(P, apollo_inputs, functionality)
return(P)
}
model = apollo_estimate(apollo_beta, apollo_fixed, apollo_probabilities, apollo_inputs)
modelOutput_settings=list(printPVal=2)
apollo_modelOutput(model, modelOutput_settings)
Last edited by bbiondi on 15 May 2024, 15:54, edited 1 time in total.
-
stephanehess
- Site Admin
- Posts: 1085
- Joined: 24 Apr 2020, 16:29
Re: Function evaluation limit exceeded.
any specification with random terms is not simple. What I meant was a specification with non-random parameters to start with
Re: Function evaluation limit exceeded.
Dear Stephane,
the model worked with fixed parameters and interactions with demographics. Only the Mixed version had problems.
I finally found what was going on. The Apollo manual says: "default is set to BFGS" for estimationRoutine in apollo_estimates. But actually, the default is using bgw. For some reasons, I get the "Function evaluation limit" error when using bgw (and it happens at the iteration zero, the algorithm stops without doing a single iteration, the obtained coefficients are equal to their starting value). If I specify estimationRoutine="BFGS" then it works fine! So, there is something going on with bgw.
Thanks,
Beatrice
the model worked with fixed parameters and interactions with demographics. Only the Mixed version had problems.
I finally found what was going on. The Apollo manual says: "default is set to BFGS" for estimationRoutine in apollo_estimates. But actually, the default is using bgw. For some reasons, I get the "Function evaluation limit" error when using bgw (and it happens at the iteration zero, the algorithm stops without doing a single iteration, the obtained coefficients are equal to their starting value). If I specify estimationRoutine="BFGS" then it works fine! So, there is something going on with bgw.
Thanks,
Beatrice
-
stephanehess
- Site Admin
- Posts: 1085
- Joined: 24 Apr 2020, 16:29
Re: Function evaluation limit exceeded.
Beatrice
bgw is the default now (the manual hasn't been updated yet). Can you show us the bfgs estimates?
Stephane
bgw is the default now (the manual hasn't been updated yet). Can you show us the bfgs estimates?
Stephane
Re: Function evaluation limit exceeded.
Yes, here's the output (partial).
Model run by beatrice.biondi7 using Apollo 0.3.2 on R 4.3.1 for Windows.
Please acknowledge the use of Apollo by citing Hess & Palma (2019)
DOI 10.1016/j.jocm.2019.100170
www.ApolloChoiceModelling.com
Model name : Model_4
Model description : MDCEV model 4
Model run at : 2024-05-17 17:24:19.87769
Estimation method : bfgs
Model diagnosis : successful convergence
Optimisation diagnosis : Maximum found
hessian properties : Negative definite
maximum eigenvalue : -118.092129
reciprocal of condition number : 3.14499e-05
Number of individuals : 8431
Number of rows in database : 315315
Number of modelled outcomes : 315315
Number of cores used : 7
Number of inter-individual draws : 100 (mlhs)
LL(start) : -3034986
LL at equal shares, LL(0) : NA
LL at observed shares, LL(C) : NA
LL(final) : -2202878
Rho-squared vs equal shares : Not applicable
Adj.Rho-squared vs equal shares : Not applicable
Rho-squared vs observed shares : Not applicable
Adj.Rho-squared vs observed shares : Not applicable
AIC : 4405847
BIC : 4406327
Estimated parameters : 45
Time taken (hh:mm:ss) : 30:32:27.29
pre-estimation : 00:25:38.89
estimation : 20:04:8.83
initial estimation : 19:43:9.75
estimation after rescaling : 00:20:59.09
post-estimation : 10:02:39.56
Iterations : 87
initial estimation : 84
estimation after rescaling : 3
Unconstrained optimisation.
Estimates:
Estimate s.e. t.rat.(0) p(2-sided) Rob.s.e.
alpha_base -1.24713 0.003111 -400.839 0.000000 0.008792
gamma_CERE 2.77008 0.012616 219.569 0.000000 0.026665
gamma_CONF 1.73643 0.008103 214.299 0.000000 0.017209
gamma_DAIR 2.82841 0.014746 191.804 0.000000 0.032705
gamma_DRIN 17.12920 0.090270 189.756 0.000000 0.237604
gamma_FRUI 3.24529 0.015105 214.847 0.000000 0.033265
gamma_MEAT 1.07445 0.005163 208.120 0.000000 0.010593
gamma_FISH 1.61985 0.008482 190.982 0.000000 0.014620
gamma_OTHE 1.39739 0.006565 212.844 0.000000 0.013912
deltamu_CERE -0.04772 0.008246 -5.787 7.173e-09 0.013522
deltamu_CONF 0.76505 0.008474 90.286 0.000000 0.014952
deltamu_DAIR 0.70993 0.008769 80.959 0.000000 0.015696
deltamu_DRIN -2.69255 0.009544 -282.108 0.000000 0.020318
deltamu_FRUI -0.49775 0.008971 -55.488 0.000000 0.019313
deltamu_MEAT -0.02205 0.009810 -2.248 0.024573 0.021850
deltamu_FISH -0.72810 0.009900 -73.545 0.000000 0.016839
deltamu_OTHE 0.00000 NA NA NA NA
deltasigma_CERE -0.37644 0.004372 -86.101 0.000000 0.013886
deltasigma_CONF -0.51532 0.004071 -126.594 0.000000 0.011760
deltasigma_DAIR 0.51371 0.004096 125.425 0.000000 0.012368
deltasigma_DRIN 0.77927 0.005555 140.295 0.000000 0.017786
deltasigma_FRUI -0.73787 0.004980 -148.178 0.000000 0.016011
deltasigma_MEAT -0.80386 0.005925 -135.669 0.000000 0.018438
deltasigma_FISH 0.51502 0.005443 94.629 0.000000 0.015543
deltasigma_OTHE 0.00000 NA NA NA NA
bq1_CERE -0.03149 0.009717 -3.241 0.001193 0.011259
bq1_CONF -0.12027 0.009710 -12.386 0.000000 0.011250
bq1_DAIR -0.02310 0.009573 -2.413 0.015830 0.010729
bq1_DRIN 0.02320 0.010744 2.159 0.030862 0.012267
bq1_FRUI 0.11959 0.009937 12.034 0.000000 0.011964
bq1_MEAT -0.07825 0.011001 -7.113 1.132e-12 0.012729
bq1_FISH -0.06806 0.012163 -5.595 2.204e-08 0.014061
bq2_CERE -0.05239 0.009509 -5.510 3.595e-08 0.010757
bq2_CONF 0.03010 0.009486 3.173 0.001507 0.010712
bq2_DAIR 0.06495 0.009349 6.947 3.721e-12 0.010126
bq2_DRIN 0.31479 0.010420 30.211 0.000000 0.011752
bq2_FRUI 0.24780 0.009696 25.557 0.000000 0.011565
bq2_MEAT 0.07225 0.010730 6.734 1.654e-11 0.012047
bq2_FISH 0.12736 0.011797 10.796 0.000000 0.013597
bq3_CERE -0.03564 0.009811 -3.633 2.8027e-04 0.011123
bq3_CONF 0.06531 0.009776 6.680 2.385e-11 0.011053
bq3_DAIR 0.11894 0.009632 12.348 0.000000 0.010375
bq3_DRIN 0.53515 0.010665 50.177 0.000000 0.012041
bq3_FRUI 0.08814 0.010034 8.784 0.000000 0.011555
bq3_MEAT 0.18605 0.011046 16.844 0.000000 0.012035
bq3_FISH 0.31202 0.012067 25.857 0.000000 0.013546
bq1_OTHE 0.00000 NA NA NA NA
bq2_OTHE 0.00000 NA NA NA NA
bq3_OTHE 0.00000 NA NA NA NA
sig 0.98783 0.001581 624.626 0.000000 0.004314
Rob.t.rat.(0) p(2-sided)
alpha_base -141.842 0.000000
gamma_CERE 103.884 0.000000
gamma_CONF 100.902 0.000000
gamma_DAIR 86.483 0.000000
gamma_DRIN 72.091 0.000000
gamma_FRUI 97.558 0.000000
gamma_MEAT 101.432 0.000000
gamma_FISH 110.796 0.000000
gamma_OTHE 100.445 0.000000
deltamu_CERE -3.529 4.1767e-04
deltamu_CONF 51.167 0.000000
deltamu_DAIR 45.230 0.000000
deltamu_DRIN -132.520 0.000000
deltamu_FRUI -25.773 0.000000
deltamu_MEAT -1.009 0.312845
deltamu_FISH -43.240 0.000000
deltamu_OTHE NA NA
deltasigma_CERE -27.109 0.000000
deltasigma_CONF -43.819 0.000000
deltasigma_DAIR 41.535 0.000000
deltasigma_DRIN 43.814 0.000000
deltasigma_FRUI -46.084 0.000000
deltasigma_MEAT -43.597 0.000000
deltasigma_FISH 33.135 0.000000
deltasigma_OTHE NA NA
bq1_CERE -2.797 0.005163
bq1_CONF -10.691 0.000000
bq1_DAIR -2.153 0.031334
bq1_DRIN 1.891 0.058642
bq1_FRUI 9.996 0.000000
bq1_MEAT -6.147 7.878e-10
bq1_FISH -4.840 1.299e-06
bq2_CERE -4.870 1.113e-06
bq2_CONF 2.810 0.004952
bq2_DAIR 6.414 1.416e-10
bq2_DRIN 26.787 0.000000
bq2_FRUI 21.427 0.000000
bq2_MEAT 5.997 2.006e-09
bq2_FISH 9.367 0.000000
bq3_CERE -3.204 0.001354
bq3_CONF 5.908 3.453e-09
bq3_DAIR 11.464 0.000000
bq3_DRIN 44.442 0.000000
bq3_FRUI 7.628 2.398e-14
bq3_MEAT 15.459 0.000000
bq3_FISH 23.035 0.000000
bq1_OTHE NA NA
bq2_OTHE NA NA
bq3_OTHE NA NA
sig 228.957 0.000000
Overview of choices for model component :
CERE CONF DAIR DRIN
Times available 315315.00 315315.00 315315.0 315315.00
Observations in which chosen 241267.00 240825.00 265740.0 165904.00
Average consumption when available 1.65 1.09 2.7 6.93
Average consumption when chosen 2.15 1.43 3.2 13.17
FRUI MEAT FISH OTHE
Times available 315315.00 315315.00 315315.00 315315.00
Observations in which chosen 219251.00 139419.00 101001.00 177336.00
Average consumption when available 1.71 0.26 0.21 0.57
Average consumption when chosen 2.46 0.59 0.65 1.01
Classical covariance matrix:
alpha_base gamma_CERE gamma_CONF gamma_DAIR
alpha_base 9.680e-06 -2.813e-05 -1.860e-05 -3.542e-05
gamma_CERE -2.813e-05 1.5916e-04 6.767e-05 1.2738e-04
gamma_CONF -1.860e-05 6.767e-05 6.566e-05 8.199e-05
gamma_DAIR -3.542e-05 1.2738e-04 8.199e-05 2.1745e-04
gamma_DRIN -2.0224e-04 7.1330e-04 4.5816e-04 8.6650e-04
gamma_FRUI -3.326e-05 1.2290e-04 7.909e-05 1.4902e-04
gamma_MEAT -9.844e-06 3.622e-05 2.328e-05 4.399e-05
gamma_FISH -1.299e-05 4.915e-05 3.147e-05 5.921e-05
gamma_OTHE -1.521e-05 5.274e-05 3.412e-05 6.440e-05
deltamu_CERE -2.374e-06 -1.645e-05 6.741e-07 1.364e-06
deltamu_CONF -1.957e-06 -4.698e-07 -1.127e-05 1.041e-06
deltamu_DAIR -1.473e-06 -5.338e-06 -2.500e-06 -3.002e-05
deltamu_DRIN 1.374e-06 -1.824e-06 -1.218e-06 -2.660e-06
deltamu_FRUI -1.452e-06 1.038e-06 7.060e-07 1.063e-06
deltamu_MEAT 9.215e-07 3.143e-07 -1.592e-07 -1.640e-07
deltamu_FISH 2.297e-06 4.831e-07 -3.288e-07 -1.011e-06
deltasigma_CERE 6.514e-07 6.840e-06 -8.537e-07 -1.552e-06
deltasigma_CONF 1.185e-06 -7.584e-07 3.230e-06 -2.185e-06
deltasigma_DAIR -1.466e-06 1.668e-06 1.366e-06 -6.650e-06
deltasigma_DRIN -1.767e-06 -5.945e-07 3.087e-07 1.543e-06
deltasigma_FRUI 1.894e-06 -2.188e-06 -1.615e-06 -3.155e-06
deltasigma_MEAT 2.435e-06 -2.558e-06 -2.187e-06 -3.593e-06
deltasigma_FISH -1.196e-06 1.468e-06 8.500e-07 2.319e-06
bq1_CERE 3.443e-08 -3.721e-07 -2.630e-08 4.426e-08
bq1_CONF 1.837e-07 -8.184e-08 6.927e-08 -2.104e-07
bq1_DAIR 2.491e-08 1.511e-08 -2.057e-09 -2.387e-07
bq1_DRIN -7.708e-08 -1.920e-07 -8.423e-08 -7.656e-08
bq1_FRUI -4.164e-07 5.009e-07 3.889e-07 8.477e-07
bq1_MEAT 1.482e-07 -6.087e-08 -9.098e-08 -5.732e-08
bq1_FISH 1.202e-07 -1.586e-07 -8.254e-08 -5.153e-08
bq2_CERE 2.803e-07 8.981e-07 -2.033e-07 -3.437e-07
bq2_CONF -6.409e-08 5.861e-08 2.444e-07 1.319e-07
bq2_DAIR 3.203e-08 -8.176e-08 -6.748e-08 3.301e-07
bq2_DRIN -5.395e-07 -1.200e-07 7.098e-08 2.650e-07
bq2_FRUI -2.636e-07 8.173e-08 5.708e-08 2.534e-07
bq2_MEAT -1.690e-08 -9.342e-08 -5.519e-08 8.158e-08
bq2_FISH -3.012e-07 5.989e-08 1.511e-07 4.326e-07
bq3_CERE 4.564e-07 1.489e-06 -3.221e-07 -6.433e-07
bq3_CONF 6.468e-08 -6.071e-08 2.856e-07 -1.798e-07
bq3_DAIR 1.315e-07 -1.895e-07 -1.855e-07 6.120e-07
bq3_DRIN -8.782e-07 1.153e-09 1.483e-07 4.974e-07
bq3_FRUI 3.919e-07 -3.907e-07 -4.129e-07 -7.169e-07
bq3_MEAT -1.275e-07 5.935e-08 5.202e-08 2.129e-07
bq3_FISH -4.522e-07 8.053e-08 1.614e-07 5.025e-07
sig -2.641e-06 1.200e-06 1.348e-06 2.926e-06
gamma_DRIN gamma_FRUI gamma_MEAT gamma_FISH
alpha_base -2.0224e-04 -3.326e-05 -9.844e-06 -1.299e-05
gamma_CERE 7.1330e-04 1.2290e-04 3.622e-05 4.915e-05
gamma_CONF 4.5816e-04 7.909e-05 2.328e-05 3.147e-05
gamma_DAIR 8.6650e-04 1.4902e-04 4.399e-05 5.921e-05
gamma_DRIN 0.008149 8.3222e-04 2.4543e-04 3.3055e-04
gamma_FRUI 8.3222e-04 2.2816e-04 4.252e-05 5.736e-05
gamma_MEAT 2.4543e-04 4.252e-05 2.665e-05 1.691e-05
gamma_FISH 3.3055e-04 5.736e-05 1.691e-05 7.194e-05
gamma_OTHE 3.6228e-04 6.164e-05 1.824e-05 2.448e-05
deltamu_CERE 1.351e-05 7.494e-07 1.075e-07 -1.641e-07
deltamu_CONF 8.611e-06 2.577e-08 -3.431e-09 -1.172e-07
deltamu_DAIR -1.755e-05 -5.878e-06 -1.559e-06 -2.623e-06
deltamu_DRIN -1.0400e-04 -1.884e-06 -6.547e-07 -6.602e-07
deltamu_FRUI 1.211e-05 -1.822e-05 2.160e-08 -1.232e-07
deltamu_MEAT -3.347e-07 6.455e-07 -4.882e-06 5.553e-07
deltamu_FISH -9.285e-06 3.463e-07 2.924e-08 -6.051e-06
deltasigma_CERE -8.377e-06 -1.848e-06 -4.959e-07 -5.413e-07
deltasigma_CONF -1.204e-05 -1.572e-06 -7.875e-07 -5.610e-07
deltasigma_DAIR 1.854e-05 1.678e-06 5.131e-07 6.730e-07
deltasigma_DRIN -5.649e-05 8.666e-07 3.690e-07 -1.802e-07
deltasigma_FRUI -2.266e-05 9.628e-06 -8.505e-07 -8.246e-07
deltasigma_MEAT -2.803e-05 -2.688e-06 4.153e-06 -1.054e-06
deltasigma_FISH 1.567e-05 1.575e-06 8.245e-07 -4.368e-06
bq1_CERE -1.297e-08 4.348e-08 1.464e-08 1.968e-08
bq1_CONF -1.416e-06 -1.001e-07 -6.508e-08 -4.302e-08
bq1_DAIR 1.221e-08 3.119e-08 1.194e-08 1.629e-08
bq1_DRIN -7.890e-06 -1.457e-07 -6.850e-08 -7.538e-08
bq1_FRUI 5.451e-06 -1.304e-06 2.000e-07 2.278e-07
bq1_MEAT -1.206e-06 -1.196e-07 -2.941e-08 -3.184e-08
bq1_FISH -1.516e-06 -6.464e-08 -2.870e-08 -2.321e-08
bq2_CERE -2.562e-06 -2.727e-07 -8.901e-08 -7.127e-08
bq2_CONF 6.146e-07 1.089e-07 1.895e-08 4.480e-08
bq2_DAIR -6.307e-07 -6.858e-08 -6.700e-09 -2.870e-08
bq2_DRIN -1.066e-05 -4.764e-08 6.183e-09 -1.080e-07
bq2_FRUI 2.064e-06 -9.058e-07 2.071e-08 1.541e-08
bq2_MEAT 9.903e-08 -4.958e-08 1.064e-08 -2.032e-08
bq2_FISH 2.228e-06 2.473e-07 7.725e-08 -3.273e-07
bq3_CERE -4.469e-06 -4.667e-07 -1.641e-07 -1.950e-07
bq3_CONF -1.324e-06 -1.749e-07 -4.019e-08 -9.321e-08
bq3_DAIR -2.295e-06 -2.865e-07 -7.181e-08 -1.259e-07
bq3_DRIN -1.551e-05 2.025e-08 3.638e-08 -1.383e-07
bq3_FRUI -5.115e-06 1.160e-06 -1.585e-07 -2.484e-07
bq3_MEAT 8.526e-07 -7.760e-08 -6.136e-08 -3.321e-08
bq3_FISH 2.769e-06 2.558e-07 6.953e-08 -8.887e-07
sig 2.027e-05 1.716e-06 5.029e-07 2.681e-07
gamma_OTHE deltamu_CERE deltamu_CONF deltamu_DAIR
alpha_base -1.521e-05 -2.374e-06 -1.957e-06 -1.473e-06
gamma_CERE 5.274e-05 -1.645e-05 -4.698e-07 -5.338e-06
gamma_CONF 3.412e-05 6.741e-07 -1.127e-05 -2.500e-06
gamma_DAIR 6.440e-05 1.364e-06 1.041e-06 -3.002e-05
gamma_DRIN 3.6228e-04 1.351e-05 8.611e-06 -1.755e-05
gamma_FRUI 6.164e-05 7.494e-07 2.577e-08 -5.878e-06
gamma_MEAT 1.824e-05 1.075e-07 -3.431e-09 -1.559e-06
gamma_FISH 2.448e-05 -1.641e-07 -1.172e-07 -2.623e-06
gamma_OTHE 4.310e-05 8.309e-06 7.952e-06 5.886e-06
deltamu_CERE 8.309e-06 6.799e-05 3.547e-05 3.633e-05
deltamu_CONF 7.952e-06 3.547e-05 7.180e-05 3.595e-05
deltamu_DAIR 5.886e-06 3.633e-05 3.595e-05 7.690e-05
deltamu_DRIN 5.677e-06 3.178e-05 3.265e-05 3.200e-05
deltamu_FRUI 7.893e-06 3.458e-05 3.496e-05 3.554e-05
deltamu_MEAT 6.729e-06 3.225e-05 3.159e-05 3.201e-05
deltamu_FISH 5.970e-06 3.040e-05 3.021e-05 2.944e-05
deltasigma_CERE -5.325e-07 -2.283e-06 -1.662e-08 -2.283e-07
deltasigma_CONF -8.007e-07 -6.343e-07 -2.903e-06 -5.737e-07
deltasigma_DAIR 1.126e-06 1.157e-06 7.354e-07 5.480e-06
deltasigma_DRIN 5.903e-07 2.454e-06 1.939e-06 2.075e-06
deltasigma_FRUI -1.612e-06 -1.181e-06 -1.136e-06 -2.001e-06
deltasigma_MEAT -1.989e-06 -2.187e-06 -1.464e-06 -2.053e-06
deltasigma_FISH 7.172e-07 9.905e-07 4.567e-07 9.830e-07
bq1_CERE 5.956e-08 -5.274e-05 -3.013e-05 -3.032e-05
bq1_CONF -4.341e-08 -3.030e-05 -5.291e-05 -3.035e-05
bq1_DAIR 8.231e-08 -3.033e-05 -3.022e-05 -5.119e-05
bq1_DRIN 6.907e-08 -2.966e-05 -2.966e-05 -2.980e-05
bq1_FRUI 4.729e-07 -2.983e-05 -2.970e-05 -2.993e-05
bq1_MEAT -3.299e-08 -2.998e-05 -2.988e-05 -3.019e-05
bq1_FISH -2.283e-08 -2.968e-05 -2.982e-05 -2.990e-05
bq2_CERE -6.204e-07 -5.359e-05 -3.055e-05 -3.079e-05
bq2_CONF -3.275e-07 -3.028e-05 -5.295e-05 -3.030e-05
bq2_DAIR -4.386e-07 -3.050e-05 -3.043e-05 -5.161e-05
bq2_DRIN -1.328e-07 -2.935e-05 -2.953e-05 -2.937e-05
bq2_FRUI -2.474e-07 -3.005e-05 -2.996e-05 -3.014e-05
bq2_MEAT -3.992e-07 -2.999e-05 -3.006e-05 -3.011e-05
bq2_FISH -2.007e-07 -2.948e-05 -2.972e-05 -2.963e-05
bq3_CERE -1.029e-06 -5.399e-05 -3.077e-05 -3.105e-05
bq3_CONF -7.223e-07 -3.050e-05 -5.314e-05 -3.046e-05
bq3_DAIR -8.035e-07 -3.070e-05 -3.046e-05 -5.203e-05
bq3_DRIN -2.069e-07 -2.911e-05 -2.926e-05 -2.914e-05
bq3_FRUI -1.050e-06 -3.069e-05 -3.057e-05 -3.092e-05
bq3_MEAT -5.855e-07 -3.006e-05 -3.003e-05 -3.010e-05
bq3_FISH -3.883e-07 -2.946e-05 -2.969e-05 -2.956e-05
sig 1.849e-06 2.448e-06 2.140e-06 2.973e-06
deltamu_DRIN deltamu_FRUI deltamu_MEAT deltamu_FISH
alpha_base 1.374e-06 -1.452e-06 9.215e-07 2.297e-06
gamma_CERE -1.824e-06 1.038e-06 3.143e-07 4.831e-07
gamma_CONF -1.218e-06 7.060e-07 -1.592e-07 -3.288e-07
gamma_DAIR -2.660e-06 1.063e-06 -1.640e-07 -1.011e-06
gamma_DRIN -1.0400e-04 1.211e-05 -3.347e-07 -9.285e-06
gamma_FRUI -1.884e-06 -1.822e-05 6.455e-07 3.463e-07
gamma_MEAT -6.547e-07 2.160e-08 -4.882e-06 2.924e-08
gamma_FISH -6.602e-07 -1.232e-07 5.553e-07 -6.051e-06
gamma_OTHE 5.677e-06 7.893e-06 6.729e-06 5.970e-06
deltamu_CERE 3.178e-05 3.458e-05 3.225e-05 3.040e-05
deltamu_CONF 3.265e-05 3.496e-05 3.159e-05 3.021e-05
deltamu_DAIR 3.200e-05 3.554e-05 3.201e-05 2.944e-05
deltamu_DRIN 9.110e-05 3.441e-05 3.348e-05 3.347e-05
deltamu_FRUI 3.441e-05 8.047e-05 3.131e-05 3.257e-05
deltamu_MEAT 3.348e-05 3.131e-05 9.623e-05 3.378e-05
deltamu_FISH 3.347e-05 3.257e-05 3.378e-05 9.801e-05
deltasigma_CERE 5.294e-07 9.189e-07 6.258e-07 1.157e-06
deltasigma_CONF 5.658e-07 -3.794e-08 -2.955e-07 1.237e-06
deltasigma_DAIR -9.173e-07 1.003e-06 -3.414e-07 -1.383e-06
deltasigma_DRIN -1.420e-06 6.175e-07 3.486e-07 -2.068e-06
deltasigma_FRUI 6.038e-07 -2.643e-06 3.127e-07 1.851e-06
deltasigma_MEAT 1.313e-06 -2.107e-06 4.237e-06 2.020e-06
deltasigma_FISH -5.344e-07 1.024e-06 -3.444e-07 -2.696e-06
bq1_CERE -2.988e-05 -3.023e-05 -2.991e-05 -2.962e-05
bq1_CONF -2.969e-05 -3.010e-05 -2.972e-05 -2.946e-05
bq1_DAIR -2.989e-05 -3.030e-05 -2.998e-05 -2.965e-05
bq1_DRIN -6.498e-05 -2.990e-05 -2.999e-05 -2.991e-05
bq1_FRUI -3.001e-05 -5.503e-05 -3.012e-05 -3.012e-05
bq1_MEAT -2.979e-05 -3.000e-05 -6.724e-05 -2.979e-05
bq1_FISH -2.975e-05 -3.000e-05 -2.994e-05 -8.259e-05
bq2_CERE -2.989e-05 -3.051e-05 -2.994e-05 -2.961e-05
bq2_CONF -3.004e-05 -3.016e-05 -2.995e-05 -2.993e-05
bq2_DAIR -3.019e-05 -3.054e-05 -3.013e-05 -2.991e-05
bq2_DRIN -6.515e-05 -2.987e-05 -3.024e-05 -3.066e-05
bq2_FRUI -3.018e-05 -5.527e-05 -3.020e-05 -3.029e-05
bq2_MEAT -2.999e-05 -3.016e-05 -6.734e-05 -3.014e-05
bq2_FISH -3.015e-05 -2.993e-05 -3.017e-05 -8.317e-05
bq3_CERE -2.992e-05 -3.066e-05 -3.000e-05 -2.964e-05
bq3_CONF -3.009e-05 -3.029e-05 -3.016e-05 -3.002e-05
bq3_DAIR -3.028e-05 -3.071e-05 -3.028e-05 -3.004e-05
bq3_DRIN -6.530e-05 -2.973e-05 -3.052e-05 -3.117e-05
bq3_FRUI -3.002e-05 -5.633e-05 -2.991e-05 -2.984e-05
bq3_MEAT -3.026e-05 -3.031e-05 -6.766e-05 -3.047e-05
bq3_FISH -3.033e-05 -2.980e-05 -3.060e-05 -8.342e-05
sig -9.537e-07 1.421e-06 -1.148e-06 -2.522e-06
deltasigma_CERE deltasigma_CONF deltasigma_DAIR deltasigma_DRIN
alpha_base 6.514e-07 1.185e-06 -1.466e-06 -1.767e-06
gamma_CERE 6.840e-06 -7.584e-07 1.668e-06 -5.945e-07
gamma_CONF -8.537e-07 3.230e-06 1.366e-06 3.087e-07
gamma_DAIR -1.552e-06 -2.185e-06 -6.650e-06 1.543e-06
gamma_DRIN -8.377e-06 -1.204e-05 1.854e-05 -5.649e-05
gamma_FRUI -1.848e-06 -1.572e-06 1.678e-06 8.666e-07
gamma_MEAT -4.959e-07 -7.875e-07 5.131e-07 3.690e-07
gamma_FISH -5.413e-07 -5.610e-07 6.730e-07 -1.802e-07
gamma_OTHE -5.325e-07 -8.007e-07 1.126e-06 5.903e-07
deltamu_CERE -2.283e-06 -6.343e-07 1.157e-06 2.454e-06
deltamu_CONF -1.662e-08 -2.903e-06 7.354e-07 1.939e-06
deltamu_DAIR -2.283e-07 -5.737e-07 5.480e-06 2.075e-06
deltamu_DRIN 5.294e-07 5.658e-07 -9.173e-07 -1.420e-06
deltamu_FRUI 9.189e-07 -3.794e-08 1.003e-06 6.175e-07
deltamu_MEAT 6.258e-07 -2.955e-07 -3.414e-07 3.486e-07
deltamu_FISH 1.157e-06 1.237e-06 -1.383e-06 -2.068e-06
deltasigma_CERE 1.911e-05 -1.927e-07 4.992e-07 -1.454e-07
deltasigma_CONF -1.927e-07 1.657e-05 5.772e-07 -4.184e-07
deltasigma_DAIR 4.992e-07 5.772e-07 1.678e-05 5.642e-07
deltasigma_DRIN -1.454e-07 -4.184e-07 5.642e-07 3.085e-05
deltasigma_FRUI -1.319e-06 -1.573e-07 -8.399e-07 9.833e-07
deltasigma_MEAT -9.914e-07 -6.652e-07 -9.000e-07 1.117e-06
deltasigma_FISH 1.817e-06 8.151e-07 -7.309e-07 3.370e-07
bq1_CERE -1.628e-07 -4.888e-08 -1.135e-07 -1.360e-07
bq1_CONF 1.072e-07 2.711e-07 1.369e-09 -1.575e-07
bq1_DAIR -1.262e-08 -1.913e-08 2.506e-08 -3.180e-09
bq1_DRIN -5.654e-08 7.361e-09 3.953e-08 2.447e-07
bq1_FRUI -3.548e-09 -6.334e-08 1.684e-07 5.591e-08
bq1_MEAT 1.123e-07 5.577e-08 -1.034e-07 -1.205e-07
bq1_FISH -7.128e-08 6.678e-08 -9.474e-08 3.430e-08
bq2_CERE 1.076e-07 7.687e-08 -1.639e-07 -3.218e-07
bq2_CONF 6.357e-09 4.053e-08 1.027e-07 -4.214e-08
bq2_DAIR -6.319e-08 -7.256e-08 1.483e-08 -3.091e-08
bq2_DRIN -1.254e-07 -1.511e-07 2.784e-07 1.055e-06
bq2_FRUI 5.642e-08 -9.236e-08 1.739e-07 -2.460e-08
bq2_MEAT -2.753e-08 -2.398e-08 -4.182e-08 -7.155e-08
bq2_FISH -1.697e-07 -2.678e-08 4.431e-08 1.969e-07
bq3_CERE 2.231e-07 2.440e-07 -1.813e-07 -3.628e-07
bq3_CONF -1.280e-09 3.190e-07 1.437e-07 -1.206e-07
bq3_DAIR -8.959e-08 -4.410e-08 -1.036e-07 -1.526e-07
bq3_DRIN -1.158e-07 -1.917e-07 5.109e-07 1.903e-06
bq3_FRUI 1.843e-07 2.099e-07 -8.532e-08 -3.795e-07
bq3_MEAT 5.199e-08 -2.215e-09 1.546e-08 -1.379e-07
bq3_FISH -1.921e-07 -1.034e-07 2.284e-07 3.423e-07
sig -6.008e-07 -1.024e-06 1.255e-06 1.954e-06
deltasigma_FRUI deltasigma_MEAT deltasigma_FISH bq1_CERE
alpha_base 1.894e-06 2.435e-06 -1.196e-06 3.443e-08
gamma_CERE -2.188e-06 -2.558e-06 1.468e-06 -3.721e-07
gamma_CONF -1.615e-06 -2.187e-06 8.500e-07 -2.630e-08
gamma_DAIR -3.155e-06 -3.593e-06 2.319e-06 4.426e-08
gamma_DRIN -2.266e-05 -2.803e-05 1.567e-05 -1.297e-08
gamma_FRUI 9.628e-06 -2.688e-06 1.575e-06 4.348e-08
gamma_MEAT -8.505e-07 4.153e-06 8.245e-07 1.464e-08
gamma_FISH -8.246e-07 -1.054e-06 -4.368e-06 1.968e-08
gamma_OTHE -1.612e-06 -1.989e-06 7.172e-07 5.956e-08
deltamu_CERE -1.181e-06 -2.187e-06 9.905e-07 -5.274e-05
deltamu_CONF -1.136e-06 -1.464e-06 4.567e-07 -3.013e-05
deltamu_DAIR -2.001e-06 -2.053e-06 9.830e-07 -3.032e-05
deltamu_DRIN 6.038e-07 1.313e-06 -5.344e-07 -2.988e-05
deltamu_FRUI -2.643e-06 -2.107e-06 1.024e-06 -3.023e-05
deltamu_MEAT 3.127e-07 4.237e-06 -3.444e-07 -2.991e-05
deltamu_FISH 1.851e-06 2.020e-06 -2.696e-06 -2.962e-05
deltasigma_CERE -1.319e-06 -9.914e-07 1.817e-06 -1.628e-07
deltasigma_CONF -1.573e-07 -6.652e-07 8.151e-07 -4.888e-08
deltasigma_DAIR -8.399e-07 -9.000e-07 -7.309e-07 -1.135e-07
deltasigma_DRIN 9.833e-07 1.117e-06 3.370e-07 -1.360e-07
deltasigma_FRUI 2.480e-05 1.690e-06 -3.537e-07 -2.816e-08
deltasigma_MEAT 1.690e-06 3.511e-05 9.436e-07 2.398e-08
deltasigma_FISH -3.537e-07 9.436e-07 2.962e-05 -7.567e-08
bq1_CERE -2.816e-08 2.398e-08 -7.567e-08 9.441e-05
bq1_CONF 9.599e-08 -3.686e-08 9.841e-09 5.379e-05
bq1_DAIR 1.022e-07 1.405e-07 -6.968e-08 5.405e-05
bq1_DRIN -1.011e-07 -3.174e-07 -4.141e-08 5.315e-05
bq1_FRUI -8.509e-07 -2.439e-07 6.660e-08 5.375e-05
bq1_MEAT -1.089e-07 2.464e-07 -2.744e-08 5.321e-05
bq1_FISH 2.352e-07 1.015e-07 -2.394e-07 5.287e-05
bq2_CERE 2.109e-07 1.320e-07 -1.419e-07 5.285e-05
bq2_CONF -5.252e-09 -1.658e-07 3.965e-08 3.022e-05
bq2_DAIR 1.242e-07 1.676e-07 -7.544e-08 3.036e-05
bq2_DRIN -3.696e-07 -5.876e-07 2.023e-07 2.985e-05
bq2_FRUI -5.666e-07 -2.842e-07 7.526e-08 3.021e-05
bq2_MEAT -1.806e-08 1.162e-07 7.080e-08 2.991e-05
bq2_FISH -3.127e-08 -3.051e-07 4.006e-07 2.969e-05
bq3_CERE 1.405e-07 2.944e-07 -1.086e-07 5.272e-05
bq3_CONF -1.264e-07 -3.437e-09 9.099e-09 3.019e-05
bq3_DAIR -6.472e-09 2.188e-07 -9.304e-08 3.033e-05
bq3_DRIN -6.265e-07 -7.372e-07 3.216e-07 2.979e-05
bq3_FRUI 2.937e-07 1.653e-07 -6.282e-09 3.017e-05
bq3_MEAT -2.012e-07 -9.254e-08 6.109e-08 2.987e-05
bq3_FISH -2.704e-07 -3.387e-07 3.440e-07 2.968e-05
sig -1.631e-06 -2.128e-06 1.024e-06 -3.611e-08
bq1_CONF bq1_DAIR bq1_DRIN bq1_FRUI
alpha_base 1.837e-07 2.491e-08 -7.708e-08 -4.164e-07
gamma_CERE -8.184e-08 1.511e-08 -1.920e-07 5.009e-07
gamma_CONF 6.927e-08 -2.057e-09 -8.423e-08 3.889e-07
gamma_DAIR -2.104e-07 -2.387e-07 -7.656e-08 8.477e-07
gamma_DRIN -1.416e-06 1.221e-08 -7.890e-06 5.451e-06
gamma_FRUI -1.001e-07 3.119e-08 -1.457e-07 -1.304e-06
gamma_MEAT -6.508e-08 1.194e-08 -6.850e-08 2.000e-07
gamma_FISH -4.302e-08 1.629e-08 -7.538e-08 2.278e-07
gamma_OTHE -4.341e-08 8.231e-08 6.907e-08 4.729e-07
deltamu_CERE -3.030e-05 -3.033e-05 -2.966e-05 -2.983e-05
deltamu_CONF -5.291e-05 -3.022e-05 -2.966e-05 -2.970e-05
deltamu_DAIR -3.035e-05 -5.119e-05 -2.980e-05 -2.993e-05
deltamu_DRIN -2.969e-05 -2.989e-05 -6.498e-05 -3.001e-05
deltamu_FRUI -3.010e-05 -3.030e-05 -2.990e-05 -5.503e-05
deltamu_MEAT -2.972e-05 -2.998e-05 -2.999e-05 -3.012e-05
deltamu_FISH -2.946e-05 -2.965e-05 -2.991e-05 -3.012e-05
deltasigma_CERE 1.072e-07 -1.262e-08 -5.654e-08 -3.548e-09
deltasigma_CONF 2.711e-07 -1.913e-08 7.361e-09 -6.334e-08
deltasigma_DAIR 1.369e-09 2.506e-08 3.953e-08 1.684e-07
deltasigma_DRIN -1.575e-07 -3.180e-09 2.447e-07 5.591e-08
deltasigma_FRUI 9.599e-08 1.022e-07 -1.011e-07 -8.509e-07
deltasigma_MEAT -3.686e-08 1.405e-07 -3.174e-07 -2.439e-07
deltasigma_FISH 9.841e-09 -6.968e-08 -4.141e-08 6.660e-08
bq1_CERE 5.379e-05 5.405e-05 5.315e-05 5.375e-05
bq1_CONF 9.428e-05 5.384e-05 5.317e-05 5.352e-05
bq1_DAIR 5.384e-05 9.163e-05 5.327e-05 5.397e-05
bq1_DRIN 5.317e-05 5.327e-05 1.1544e-04 5.325e-05
bq1_FRUI 5.352e-05 5.397e-05 5.325e-05 9.875e-05
bq1_MEAT 5.316e-05 5.337e-05 5.322e-05 5.333e-05
bq1_FISH 5.295e-05 5.298e-05 5.316e-05 5.310e-05
bq2_CERE 3.023e-05 3.038e-05 2.984e-05 3.018e-05
bq2_CONF 5.266e-05 3.025e-05 2.986e-05 3.008e-05
bq2_DAIR 3.024e-05 5.131e-05 2.993e-05 3.031e-05
bq2_DRIN 2.983e-05 2.991e-05 6.519e-05 2.998e-05
bq2_FRUI 3.007e-05 3.032e-05 2.994e-05 5.558e-05
bq2_MEAT 2.988e-05 3.001e-05 2.989e-05 3.002e-05
bq2_FISH 2.972e-05 2.977e-05 2.986e-05 2.990e-05
bq3_CERE 3.022e-05 3.035e-05 2.980e-05 3.011e-05
bq3_CONF 5.251e-05 3.021e-05 2.983e-05 3.001e-05
bq3_DAIR 3.020e-05 5.115e-05 2.988e-05 3.025e-05
bq3_DRIN 2.976e-05 2.986e-05 6.492e-05 2.995e-05
bq3_FRUI 3.006e-05 3.029e-05 2.985e-05 5.522e-05
bq3_MEAT 2.985e-05 2.999e-05 2.986e-05 3.001e-05
bq3_FISH 2.968e-05 2.975e-05 2.985e-05 2.988e-05
sig -1.716e-07 -3.393e-08 1.307e-07 3.099e-07
bq1_MEAT bq1_FISH bq2_CERE bq2_CONF
alpha_base 1.482e-07 1.202e-07 2.803e-07 -6.409e-08
gamma_CERE -6.087e-08 -1.586e-07 8.981e-07 5.861e-08
gamma_CONF -9.098e-08 -8.254e-08 -2.033e-07 2.444e-07
gamma_DAIR -5.732e-08 -5.153e-08 -3.437e-07 1.319e-07
gamma_DRIN -1.206e-06 -1.516e-06 -2.562e-06 6.146e-07
gamma_FRUI -1.196e-07 -6.464e-08 -2.727e-07 1.089e-07
gamma_MEAT -2.941e-08 -2.870e-08 -8.901e-08 1.895e-08
gamma_FISH -3.184e-08 -2.321e-08 -7.127e-08 4.480e-08
gamma_OTHE -3.299e-08 -2.283e-08 -6.204e-07 -3.275e-07
deltamu_CERE -2.998e-05 -2.968e-05 -5.359e-05 -3.028e-05
deltamu_CONF -2.988e-05 -2.982e-05 -3.055e-05 -5.295e-05
deltamu_DAIR -3.019e-05 -2.990e-05 -3.079e-05 -3.030e-05
deltamu_DRIN -2.979e-05 -2.975e-05 -2.989e-05 -3.004e-05
deltamu_FRUI -3.000e-05 -3.000e-05 -3.051e-05 -3.016e-05
deltamu_MEAT -6.724e-05 -2.994e-05 -2.994e-05 -2.995e-05
deltamu_FISH -2.979e-05 -8.259e-05 -2.961e-05 -2.993e-05
deltasigma_CERE 1.123e-07 -7.128e-08 1.076e-07 6.357e-09
deltasigma_CONF 5.577e-08 6.678e-08 7.687e-08 4.053e-08
deltasigma_DAIR -1.034e-07 -9.474e-08 -1.639e-07 1.027e-07
deltasigma_DRIN -1.205e-07 3.430e-08 -3.218e-07 -4.214e-08
deltasigma_FRUI -1.089e-07 2.352e-07 2.109e-07 -5.252e-09
deltasigma_MEAT 2.464e-07 1.015e-07 1.320e-07 -1.658e-07
deltasigma_FISH -2.744e-08 -2.394e-07 -1.419e-07 3.965e-08
bq1_CERE 5.321e-05 5.287e-05 5.285e-05 3.022e-05
bq1_CONF 5.316e-05 5.295e-05 3.023e-05 5.266e-05
bq1_DAIR 5.337e-05 5.298e-05 3.038e-05 3.025e-05
bq1_DRIN 5.322e-05 5.316e-05 2.984e-05 2.986e-05
bq1_FRUI 5.333e-05 5.310e-05 3.018e-05 3.008e-05
bq1_MEAT 1.2102e-04 5.324e-05 2.992e-05 2.988e-05
bq1_FISH 5.324e-05 1.4795e-04 2.971e-05 2.974e-05
bq2_CERE 2.992e-05 2.971e-05 9.042e-05 5.165e-05
bq2_CONF 2.988e-05 2.974e-05 5.165e-05 8.998e-05
bq2_DAIR 3.001e-05 2.977e-05 5.188e-05 5.170e-05
bq2_DRIN 2.986e-05 2.982e-05 5.103e-05 5.116e-05
bq2_FRUI 3.000e-05 2.985e-05 5.160e-05 5.143e-05
bq2_MEAT 6.757e-05 2.991e-05 5.113e-05 5.112e-05
bq2_FISH 2.991e-05 8.278e-05 5.083e-05 5.088e-05
bq3_CERE 2.989e-05 2.970e-05 5.287e-05 3.020e-05
bq3_CONF 2.984e-05 2.971e-05 3.022e-05 5.259e-05
bq3_DAIR 2.997e-05 2.976e-05 3.038e-05 3.023e-05
bq3_DRIN 2.982e-05 2.979e-05 2.975e-05 2.988e-05
bq3_FRUI 3.001e-05 2.984e-05 3.023e-05 3.004e-05
bq3_MEAT 6.732e-05 2.988e-05 2.990e-05 2.990e-05
bq3_FISH 2.987e-05 8.262e-05 2.967e-05 2.974e-05
sig -1.337e-07 -1.049e-07 -2.320e-07 5.179e-08
(...)
20 worst outliers in terms of lowest average per choice prediction:
ID Avg prob per choice
1107 1.799990e-08
4335 4.743375e-08
3894 7.152529e-08
3907 3.096934e-07
2408 3.136629e-07
1398 3.976777e-07
5718 3.978291e-07
591 4.458388e-07
7766 4.493917e-07
5953 4.517020e-07
1593 4.935153e-07
3464 6.083452e-07
3971 6.781527e-07
1007 7.020020e-07
5931 7.547205e-07
1882 7.701079e-07
2225 8.039169e-07
1324 9.069886e-07
6215 9.100669e-07
2000 9.377446e-07
Changes in parameter estimates from starting values:
Initial Estimate Difference
alpha_base -0.1000 -1.24713 -1.14713
gamma_CERE 1.0000 2.77008 1.77008
gamma_CONF 1.0000 1.73643 0.73643
gamma_DAIR 1.0000 2.82841 1.82841
gamma_DRIN 1.0000 17.12920 16.12920
gamma_FRUI 1.0000 3.24529 2.24529
gamma_MEAT 1.0000 1.07445 0.07445
gamma_FISH 1.0000 1.61985 0.61985
gamma_OTHE 1.0000 1.39739 0.39739
deltamu_CERE 0.0000 -0.04772 -0.04772
deltamu_CONF 0.0000 0.76505 0.76505
deltamu_DAIR 0.0000 0.70993 0.70993
deltamu_DRIN 0.0000 -2.69255 -2.69255
deltamu_FRUI 0.0000 -0.49775 -0.49775
deltamu_MEAT 0.0000 -0.02205 -0.02205
deltamu_FISH 0.0000 -0.72810 -0.72810
deltamu_OTHE 0.0000 0.00000 0.00000
deltasigma_CERE 0.0000 -0.37644 -0.37644
deltasigma_CONF 0.0000 -0.51532 -0.51532
deltasigma_DAIR 0.0000 0.51371 0.51371
deltasigma_DRIN 0.0000 0.77927 0.77927
deltasigma_FRUI 0.0000 -0.73787 -0.73787
deltasigma_MEAT 0.0000 -0.80386 -0.80386
deltasigma_FISH 0.0000 0.51502 0.51502
deltasigma_OTHE 0.0000 0.00000 0.00000
bq1_CERE 0.0000 -0.03149 -0.03149
bq1_CONF 0.0000 -0.12027 -0.12027
bq1_DAIR 0.0000 -0.02310 -0.02310
bq1_DRIN 0.0000 0.02320 0.02320
bq1_FRUI 0.0000 0.11959 0.11959
bq1_MEAT 0.0000 -0.07825 -0.07825
bq1_FISH 0.0000 -0.06806 -0.06806
bq2_CERE 0.0000 -0.05239 -0.05239
bq2_CONF 0.0000 0.03010 0.03010
bq2_DAIR 0.0000 0.06495 0.06495
bq2_DRIN 0.0000 0.31479 0.31479
bq2_FRUI 0.0000 0.24780 0.24780
bq2_MEAT 0.0000 0.07225 0.07225
bq2_FISH 0.0000 0.12736 0.12736
bq3_CERE 0.0000 -0.03564 -0.03564
bq3_CONF 0.0000 0.06531 0.06531
bq3_DAIR 0.0000 0.11894 0.11894
bq3_DRIN 0.0000 0.53515 0.53515
bq3_FRUI 0.0000 0.08814 0.08814
bq3_MEAT 0.0000 0.18605 0.18605
bq3_FISH 0.0000 0.31202 0.31202
bq1_OTHE 0.0000 0.00000 0.00000
bq2_OTHE 0.0000 0.00000 0.00000
bq3_OTHE 0.0000 0.00000 0.00000
sig 1.0000 0.98783 -0.01217
Settings and functions used in model definition:
apollo_control
--------------
Value
modelName "Model_4"
modelDescr "MDCEV model 4"
indivID "id_hh"
outputDirectory "Estimation in R/output/"
nCores "7"
panelData "TRUE"
mixing "TRUE"
debug "FALSE"
workInLogs "FALSE"
seed "13"
HB "FALSE"
noValidation "FALSE"
noDiagnostics "FALSE"
calculateLLC "TRUE"
analyticGrad "TRUE"
analyticGrad_manualSet "FALSE"
overridePanel "FALSE"
preventOverridePanel "FALSE"
noModification "FALSE"
Hessian routines attempted
--------------------------
numerical second derivative of LL (using numDeriv)
Scaling in estimation
---------------------
Value
alpha_base 1.24716362
gamma_CERE 2.77009654
gamma_CONF 1.73643271
gamma_DAIR 2.82839370
gamma_DRIN 17.12917820
gamma_FRUI 3.24525642
gamma_MEAT 1.07443565
gamma_FISH 1.61985051
gamma_OTHE 1.39740246
deltamu_CERE 0.04771557
deltamu_CONF 0.76505010
deltamu_DAIR 0.70992851
deltamu_DRIN 2.69253674
deltamu_FRUI 0.49775388
deltamu_MEAT 0.02205239
deltamu_FISH 0.72809741
deltasigma_CERE 0.37643617
deltasigma_CONF 0.51532308
deltasigma_DAIR 0.51371079
deltasigma_DRIN 0.77926748
deltasigma_FRUI 0.73786746
deltasigma_MEAT 0.80385519
deltasigma_FISH 0.51502382
bq1_CERE 0.03148717
bq1_CONF 0.12026826
bq1_DAIR 0.02309677
bq1_DRIN 0.02319548
bq1_FRUI 0.11958901
bq1_MEAT 0.07825262
bq1_FISH 0.06805617
bq2_CERE 0.05239023
bq2_CONF 0.03010223
bq2_DAIR 0.06494890
bq2_DRIN 0.31479041
bq2_FRUI 0.24780281
bq2_MEAT 0.07224981
bq2_FISH 0.12736122
bq3_CERE 0.03564169
bq3_CONF 0.06530840
bq3_DAIR 0.11893755
bq3_DRIN 0.53514619
bq3_FRUI 0.08814024
bq3_MEAT 0.18604828
bq3_FISH 0.31201846
sig 0.98781069
Scaling used in computing Hessian
---------------------------------
Value
alpha_base 1.24712964
gamma_CERE 2.77007964
gamma_CONF 1.73643094
gamma_DAIR 2.82840682
gamma_DRIN 17.12920434
gamma_FRUI 3.24529481
gamma_MEAT 1.07444734
gamma_FISH 1.61984972
gamma_OTHE 1.39739398
deltamu_CERE 0.04771558
deltamu_CONF 0.76504978
deltamu_DAIR 0.70993058
deltamu_DRIN 2.69255116
deltamu_FRUI 0.49775376
deltamu_MEAT 0.02205239
deltamu_FISH 0.72809789
deltasigma_CERE 0.37643605
deltasigma_CONF 0.51532276
deltasigma_DAIR 0.51371030
deltasigma_DRIN 0.77926636
deltasigma_FRUI 0.73786774
deltasigma_MEAT 0.80385505
deltasigma_FISH 0.51502370
bq1_CERE 0.03148717
bq1_CONF 0.12026826
bq1_DAIR 0.02309677
bq1_DRIN 0.02319548
bq1_FRUI 0.11958901
bq1_MEAT 0.07825261
bq1_FISH 0.06805617
bq2_CERE 0.05239023
bq2_CONF 0.03010223
bq2_DAIR 0.06494891
bq2_DRIN 0.31479035
bq2_FRUI 0.24780281
bq2_MEAT 0.07224981
bq2_FISH 0.12736121
bq3_CERE 0.03564169
bq3_CONF 0.06530840
bq3_DAIR 0.11893757
bq3_DRIN 0.53514603
bq3_FRUI 0.08814024
bq3_MEAT 0.18604829
bq3_FISH 0.31201845
sig 0.98782966
apollo_randCoeff
------------------
function(apollo_beta, apollo_inputs){
randcoeff = list()
randcoeff[["delta_CERE"]] = deltamu_CERE + deltasigma_CERE *draws_CERE
randcoeff[["delta_CONF"]] = deltamu_CONF + deltasigma_CONF *draws_CONF
randcoeff[["delta_DAIR"]] = deltamu_DAIR + deltasigma_DAIR *draws_DAIR
randcoeff[["delta_DRIN"]] = deltamu_DRIN + deltasigma_DRIN *draws_DRIN
randcoeff[["delta_FRUI"]] = deltamu_FRUI + deltasigma_FRUI *draws_FRUI
randcoeff[["delta_MEAT"]] = deltamu_MEAT + deltasigma_MEAT *draws_MEAT
randcoeff[["delta_FISH"]] = deltamu_FISH + deltasigma_FISH *draws_FISH
randcoeff[["delta_OTHE"]] = deltamu_OTHE + deltasigma_OTHE *draws_OTHE
#for(j in goods){
#randcoeff[[paste0("q1_",j)]] = get(paste0("bqmu1_",j)) + get(paste0("bqsigma1_",j))*get(paste0("draws_",j))
#randcoeff[[paste0("q2_",j)]] = get(paste0("bqmu2_",j)) + get(paste0("bqsigma2_",j))*get(paste0("draws_",j))
#randcoeff[[paste0("q3_",j)]] = get(paste0("bqmu3_",j)) + get(paste0("bqsigma3_",j))*get(paste0("draws_",j))
# }
return(randcoeff)
}
<bytecode: 0x0000026ebadaf640>
apollo_probabilities
----------------------
function(apollo_beta, apollo_inputs, functionality="estimate"){
### Attach inputs and detach after function exit
apollo_attach(apollo_beta, apollo_inputs)
on.exit(apollo_detach(apollo_beta, apollo_inputs))
### Create list of probabilities P
P = list()
### Define individual alternatives
alternatives = c("CERE" ,
"CONF" ,
"DAIR" ,
"DRIN" ,
"FRUI" ,
"MEAT" ,
"FISH" ,
"OTHE"
)
### Define availabilities
avail = list(CERE = 1 ,
CONF = 1 ,
DAIR = 1 ,
DRIN = 1 ,
FRUI = 1 ,
MEAT = 1 ,
FISH = 1 ,
OTHE = 1
)
### Define continuous consumption for individual alternatives
continuousChoice = list(CERE = volumeCERE ,
CONF = volumeCONF ,
DAIR = volumeDAIR ,
DRIN = volumeDRIN ,
FRUI = volumeFRUI ,
MEAT = volumeMEAT ,
FISH = volumeFISH ,
OTHE = volumeOTHE )
### Define recursive utilities for individual alternatives
V = list()
# V[["CERE"]] = delta_CERE
# V[["CONF"]] = delta_CONF
# V[["DAIR"]] = delta_DAIR
# V[["DRIN"]] = delta_DRIN
# V[["FRUI"]] = delta_FRUI
# V[["MEAT"]] = delta_MEAT
# V[["FISH"]] = delta_FISH
# V[["OTHE"]] = delta_OTHE
for(j in goods){
print(j)
V[[j]] = get(paste0("delta_",j)) +
get(paste0("bq1_",j))*(quarter==1) + get(paste0("bq2_",j))*(quarter==2) + get(paste0("bq3_",j))*(quarter==3)
}
### Define alpha parameters ##alternative
alpha = list(CERE = 1 - exp(-alpha_base) ,
CONF = 1 - exp(-alpha_base) ,
DAIR = 1 - exp(-alpha_base) ,
DRIN = 1 - exp(-alpha_base) ,
FRUI = 1 - exp(-alpha_base) ,
MEAT = 1 - exp(-alpha_base) ,
FISH = 1 - exp(-alpha_base) ,
OTHE = 1 - exp(-alpha_base)
)
### Define gamma parameters
gamma = list(CERE = gamma_CERE ,
CONF = gamma_CONF ,
DAIR = gamma_DAIR ,
DRIN = gamma_DRIN ,
FRUI = gamma_FRUI ,
MEAT = gamma_MEAT ,
FISH = gamma_FISH ,
OTHE = gamma_OTHE
)
### Define costs for individual alternatives
cost = list(CERE = priceCERE ,
CONF = priceCONF ,
DAIR = priceDAIR ,
DRIN = priceDRIN ,
FRUI = priceFRUI ,
MEAT = priceMEAT ,
FISH = priceFISH ,
OTHE = priceOTHE
)
### Define settings for MDCEV model
mdcev_settings <- list(alternatives = alternatives,
avail = avail,
continuousChoice = continuousChoice,
utilities = V,
alpha = alpha,
gamma = gamma,
sigma = sig,
cost = cost,
budget = exp_week)
### Compute probabilities using MDCEV model
P[["model"]] = apollo_mdcev(mdcev_settings, functionality)
### Take product across observation for same individual
P = apollo_panelProd(P, apollo_inputs, functionality)
### Average across inter-individual draws
P = apollo_avgInterDraws(P, apollo_inputs, functionality)
### Prepare and return outputs of function
P = apollo_prepareProb(P, apollo_inputs, functionality)
return(P)
}
Model run by beatrice.biondi7 using Apollo 0.3.2 on R 4.3.1 for Windows.
Please acknowledge the use of Apollo by citing Hess & Palma (2019)
DOI 10.1016/j.jocm.2019.100170
www.ApolloChoiceModelling.com
Model name : Model_4
Model description : MDCEV model 4
Model run at : 2024-05-17 17:24:19.87769
Estimation method : bfgs
Model diagnosis : successful convergence
Optimisation diagnosis : Maximum found
hessian properties : Negative definite
maximum eigenvalue : -118.092129
reciprocal of condition number : 3.14499e-05
Number of individuals : 8431
Number of rows in database : 315315
Number of modelled outcomes : 315315
Number of cores used : 7
Number of inter-individual draws : 100 (mlhs)
LL(start) : -3034986
LL at equal shares, LL(0) : NA
LL at observed shares, LL(C) : NA
LL(final) : -2202878
Rho-squared vs equal shares : Not applicable
Adj.Rho-squared vs equal shares : Not applicable
Rho-squared vs observed shares : Not applicable
Adj.Rho-squared vs observed shares : Not applicable
AIC : 4405847
BIC : 4406327
Estimated parameters : 45
Time taken (hh:mm:ss) : 30:32:27.29
pre-estimation : 00:25:38.89
estimation : 20:04:8.83
initial estimation : 19:43:9.75
estimation after rescaling : 00:20:59.09
post-estimation : 10:02:39.56
Iterations : 87
initial estimation : 84
estimation after rescaling : 3
Unconstrained optimisation.
Estimates:
Estimate s.e. t.rat.(0) p(2-sided) Rob.s.e.
alpha_base -1.24713 0.003111 -400.839 0.000000 0.008792
gamma_CERE 2.77008 0.012616 219.569 0.000000 0.026665
gamma_CONF 1.73643 0.008103 214.299 0.000000 0.017209
gamma_DAIR 2.82841 0.014746 191.804 0.000000 0.032705
gamma_DRIN 17.12920 0.090270 189.756 0.000000 0.237604
gamma_FRUI 3.24529 0.015105 214.847 0.000000 0.033265
gamma_MEAT 1.07445 0.005163 208.120 0.000000 0.010593
gamma_FISH 1.61985 0.008482 190.982 0.000000 0.014620
gamma_OTHE 1.39739 0.006565 212.844 0.000000 0.013912
deltamu_CERE -0.04772 0.008246 -5.787 7.173e-09 0.013522
deltamu_CONF 0.76505 0.008474 90.286 0.000000 0.014952
deltamu_DAIR 0.70993 0.008769 80.959 0.000000 0.015696
deltamu_DRIN -2.69255 0.009544 -282.108 0.000000 0.020318
deltamu_FRUI -0.49775 0.008971 -55.488 0.000000 0.019313
deltamu_MEAT -0.02205 0.009810 -2.248 0.024573 0.021850
deltamu_FISH -0.72810 0.009900 -73.545 0.000000 0.016839
deltamu_OTHE 0.00000 NA NA NA NA
deltasigma_CERE -0.37644 0.004372 -86.101 0.000000 0.013886
deltasigma_CONF -0.51532 0.004071 -126.594 0.000000 0.011760
deltasigma_DAIR 0.51371 0.004096 125.425 0.000000 0.012368
deltasigma_DRIN 0.77927 0.005555 140.295 0.000000 0.017786
deltasigma_FRUI -0.73787 0.004980 -148.178 0.000000 0.016011
deltasigma_MEAT -0.80386 0.005925 -135.669 0.000000 0.018438
deltasigma_FISH 0.51502 0.005443 94.629 0.000000 0.015543
deltasigma_OTHE 0.00000 NA NA NA NA
bq1_CERE -0.03149 0.009717 -3.241 0.001193 0.011259
bq1_CONF -0.12027 0.009710 -12.386 0.000000 0.011250
bq1_DAIR -0.02310 0.009573 -2.413 0.015830 0.010729
bq1_DRIN 0.02320 0.010744 2.159 0.030862 0.012267
bq1_FRUI 0.11959 0.009937 12.034 0.000000 0.011964
bq1_MEAT -0.07825 0.011001 -7.113 1.132e-12 0.012729
bq1_FISH -0.06806 0.012163 -5.595 2.204e-08 0.014061
bq2_CERE -0.05239 0.009509 -5.510 3.595e-08 0.010757
bq2_CONF 0.03010 0.009486 3.173 0.001507 0.010712
bq2_DAIR 0.06495 0.009349 6.947 3.721e-12 0.010126
bq2_DRIN 0.31479 0.010420 30.211 0.000000 0.011752
bq2_FRUI 0.24780 0.009696 25.557 0.000000 0.011565
bq2_MEAT 0.07225 0.010730 6.734 1.654e-11 0.012047
bq2_FISH 0.12736 0.011797 10.796 0.000000 0.013597
bq3_CERE -0.03564 0.009811 -3.633 2.8027e-04 0.011123
bq3_CONF 0.06531 0.009776 6.680 2.385e-11 0.011053
bq3_DAIR 0.11894 0.009632 12.348 0.000000 0.010375
bq3_DRIN 0.53515 0.010665 50.177 0.000000 0.012041
bq3_FRUI 0.08814 0.010034 8.784 0.000000 0.011555
bq3_MEAT 0.18605 0.011046 16.844 0.000000 0.012035
bq3_FISH 0.31202 0.012067 25.857 0.000000 0.013546
bq1_OTHE 0.00000 NA NA NA NA
bq2_OTHE 0.00000 NA NA NA NA
bq3_OTHE 0.00000 NA NA NA NA
sig 0.98783 0.001581 624.626 0.000000 0.004314
Rob.t.rat.(0) p(2-sided)
alpha_base -141.842 0.000000
gamma_CERE 103.884 0.000000
gamma_CONF 100.902 0.000000
gamma_DAIR 86.483 0.000000
gamma_DRIN 72.091 0.000000
gamma_FRUI 97.558 0.000000
gamma_MEAT 101.432 0.000000
gamma_FISH 110.796 0.000000
gamma_OTHE 100.445 0.000000
deltamu_CERE -3.529 4.1767e-04
deltamu_CONF 51.167 0.000000
deltamu_DAIR 45.230 0.000000
deltamu_DRIN -132.520 0.000000
deltamu_FRUI -25.773 0.000000
deltamu_MEAT -1.009 0.312845
deltamu_FISH -43.240 0.000000
deltamu_OTHE NA NA
deltasigma_CERE -27.109 0.000000
deltasigma_CONF -43.819 0.000000
deltasigma_DAIR 41.535 0.000000
deltasigma_DRIN 43.814 0.000000
deltasigma_FRUI -46.084 0.000000
deltasigma_MEAT -43.597 0.000000
deltasigma_FISH 33.135 0.000000
deltasigma_OTHE NA NA
bq1_CERE -2.797 0.005163
bq1_CONF -10.691 0.000000
bq1_DAIR -2.153 0.031334
bq1_DRIN 1.891 0.058642
bq1_FRUI 9.996 0.000000
bq1_MEAT -6.147 7.878e-10
bq1_FISH -4.840 1.299e-06
bq2_CERE -4.870 1.113e-06
bq2_CONF 2.810 0.004952
bq2_DAIR 6.414 1.416e-10
bq2_DRIN 26.787 0.000000
bq2_FRUI 21.427 0.000000
bq2_MEAT 5.997 2.006e-09
bq2_FISH 9.367 0.000000
bq3_CERE -3.204 0.001354
bq3_CONF 5.908 3.453e-09
bq3_DAIR 11.464 0.000000
bq3_DRIN 44.442 0.000000
bq3_FRUI 7.628 2.398e-14
bq3_MEAT 15.459 0.000000
bq3_FISH 23.035 0.000000
bq1_OTHE NA NA
bq2_OTHE NA NA
bq3_OTHE NA NA
sig 228.957 0.000000
Overview of choices for model component :
CERE CONF DAIR DRIN
Times available 315315.00 315315.00 315315.0 315315.00
Observations in which chosen 241267.00 240825.00 265740.0 165904.00
Average consumption when available 1.65 1.09 2.7 6.93
Average consumption when chosen 2.15 1.43 3.2 13.17
FRUI MEAT FISH OTHE
Times available 315315.00 315315.00 315315.00 315315.00
Observations in which chosen 219251.00 139419.00 101001.00 177336.00
Average consumption when available 1.71 0.26 0.21 0.57
Average consumption when chosen 2.46 0.59 0.65 1.01
Classical covariance matrix:
alpha_base gamma_CERE gamma_CONF gamma_DAIR
alpha_base 9.680e-06 -2.813e-05 -1.860e-05 -3.542e-05
gamma_CERE -2.813e-05 1.5916e-04 6.767e-05 1.2738e-04
gamma_CONF -1.860e-05 6.767e-05 6.566e-05 8.199e-05
gamma_DAIR -3.542e-05 1.2738e-04 8.199e-05 2.1745e-04
gamma_DRIN -2.0224e-04 7.1330e-04 4.5816e-04 8.6650e-04
gamma_FRUI -3.326e-05 1.2290e-04 7.909e-05 1.4902e-04
gamma_MEAT -9.844e-06 3.622e-05 2.328e-05 4.399e-05
gamma_FISH -1.299e-05 4.915e-05 3.147e-05 5.921e-05
gamma_OTHE -1.521e-05 5.274e-05 3.412e-05 6.440e-05
deltamu_CERE -2.374e-06 -1.645e-05 6.741e-07 1.364e-06
deltamu_CONF -1.957e-06 -4.698e-07 -1.127e-05 1.041e-06
deltamu_DAIR -1.473e-06 -5.338e-06 -2.500e-06 -3.002e-05
deltamu_DRIN 1.374e-06 -1.824e-06 -1.218e-06 -2.660e-06
deltamu_FRUI -1.452e-06 1.038e-06 7.060e-07 1.063e-06
deltamu_MEAT 9.215e-07 3.143e-07 -1.592e-07 -1.640e-07
deltamu_FISH 2.297e-06 4.831e-07 -3.288e-07 -1.011e-06
deltasigma_CERE 6.514e-07 6.840e-06 -8.537e-07 -1.552e-06
deltasigma_CONF 1.185e-06 -7.584e-07 3.230e-06 -2.185e-06
deltasigma_DAIR -1.466e-06 1.668e-06 1.366e-06 -6.650e-06
deltasigma_DRIN -1.767e-06 -5.945e-07 3.087e-07 1.543e-06
deltasigma_FRUI 1.894e-06 -2.188e-06 -1.615e-06 -3.155e-06
deltasigma_MEAT 2.435e-06 -2.558e-06 -2.187e-06 -3.593e-06
deltasigma_FISH -1.196e-06 1.468e-06 8.500e-07 2.319e-06
bq1_CERE 3.443e-08 -3.721e-07 -2.630e-08 4.426e-08
bq1_CONF 1.837e-07 -8.184e-08 6.927e-08 -2.104e-07
bq1_DAIR 2.491e-08 1.511e-08 -2.057e-09 -2.387e-07
bq1_DRIN -7.708e-08 -1.920e-07 -8.423e-08 -7.656e-08
bq1_FRUI -4.164e-07 5.009e-07 3.889e-07 8.477e-07
bq1_MEAT 1.482e-07 -6.087e-08 -9.098e-08 -5.732e-08
bq1_FISH 1.202e-07 -1.586e-07 -8.254e-08 -5.153e-08
bq2_CERE 2.803e-07 8.981e-07 -2.033e-07 -3.437e-07
bq2_CONF -6.409e-08 5.861e-08 2.444e-07 1.319e-07
bq2_DAIR 3.203e-08 -8.176e-08 -6.748e-08 3.301e-07
bq2_DRIN -5.395e-07 -1.200e-07 7.098e-08 2.650e-07
bq2_FRUI -2.636e-07 8.173e-08 5.708e-08 2.534e-07
bq2_MEAT -1.690e-08 -9.342e-08 -5.519e-08 8.158e-08
bq2_FISH -3.012e-07 5.989e-08 1.511e-07 4.326e-07
bq3_CERE 4.564e-07 1.489e-06 -3.221e-07 -6.433e-07
bq3_CONF 6.468e-08 -6.071e-08 2.856e-07 -1.798e-07
bq3_DAIR 1.315e-07 -1.895e-07 -1.855e-07 6.120e-07
bq3_DRIN -8.782e-07 1.153e-09 1.483e-07 4.974e-07
bq3_FRUI 3.919e-07 -3.907e-07 -4.129e-07 -7.169e-07
bq3_MEAT -1.275e-07 5.935e-08 5.202e-08 2.129e-07
bq3_FISH -4.522e-07 8.053e-08 1.614e-07 5.025e-07
sig -2.641e-06 1.200e-06 1.348e-06 2.926e-06
gamma_DRIN gamma_FRUI gamma_MEAT gamma_FISH
alpha_base -2.0224e-04 -3.326e-05 -9.844e-06 -1.299e-05
gamma_CERE 7.1330e-04 1.2290e-04 3.622e-05 4.915e-05
gamma_CONF 4.5816e-04 7.909e-05 2.328e-05 3.147e-05
gamma_DAIR 8.6650e-04 1.4902e-04 4.399e-05 5.921e-05
gamma_DRIN 0.008149 8.3222e-04 2.4543e-04 3.3055e-04
gamma_FRUI 8.3222e-04 2.2816e-04 4.252e-05 5.736e-05
gamma_MEAT 2.4543e-04 4.252e-05 2.665e-05 1.691e-05
gamma_FISH 3.3055e-04 5.736e-05 1.691e-05 7.194e-05
gamma_OTHE 3.6228e-04 6.164e-05 1.824e-05 2.448e-05
deltamu_CERE 1.351e-05 7.494e-07 1.075e-07 -1.641e-07
deltamu_CONF 8.611e-06 2.577e-08 -3.431e-09 -1.172e-07
deltamu_DAIR -1.755e-05 -5.878e-06 -1.559e-06 -2.623e-06
deltamu_DRIN -1.0400e-04 -1.884e-06 -6.547e-07 -6.602e-07
deltamu_FRUI 1.211e-05 -1.822e-05 2.160e-08 -1.232e-07
deltamu_MEAT -3.347e-07 6.455e-07 -4.882e-06 5.553e-07
deltamu_FISH -9.285e-06 3.463e-07 2.924e-08 -6.051e-06
deltasigma_CERE -8.377e-06 -1.848e-06 -4.959e-07 -5.413e-07
deltasigma_CONF -1.204e-05 -1.572e-06 -7.875e-07 -5.610e-07
deltasigma_DAIR 1.854e-05 1.678e-06 5.131e-07 6.730e-07
deltasigma_DRIN -5.649e-05 8.666e-07 3.690e-07 -1.802e-07
deltasigma_FRUI -2.266e-05 9.628e-06 -8.505e-07 -8.246e-07
deltasigma_MEAT -2.803e-05 -2.688e-06 4.153e-06 -1.054e-06
deltasigma_FISH 1.567e-05 1.575e-06 8.245e-07 -4.368e-06
bq1_CERE -1.297e-08 4.348e-08 1.464e-08 1.968e-08
bq1_CONF -1.416e-06 -1.001e-07 -6.508e-08 -4.302e-08
bq1_DAIR 1.221e-08 3.119e-08 1.194e-08 1.629e-08
bq1_DRIN -7.890e-06 -1.457e-07 -6.850e-08 -7.538e-08
bq1_FRUI 5.451e-06 -1.304e-06 2.000e-07 2.278e-07
bq1_MEAT -1.206e-06 -1.196e-07 -2.941e-08 -3.184e-08
bq1_FISH -1.516e-06 -6.464e-08 -2.870e-08 -2.321e-08
bq2_CERE -2.562e-06 -2.727e-07 -8.901e-08 -7.127e-08
bq2_CONF 6.146e-07 1.089e-07 1.895e-08 4.480e-08
bq2_DAIR -6.307e-07 -6.858e-08 -6.700e-09 -2.870e-08
bq2_DRIN -1.066e-05 -4.764e-08 6.183e-09 -1.080e-07
bq2_FRUI 2.064e-06 -9.058e-07 2.071e-08 1.541e-08
bq2_MEAT 9.903e-08 -4.958e-08 1.064e-08 -2.032e-08
bq2_FISH 2.228e-06 2.473e-07 7.725e-08 -3.273e-07
bq3_CERE -4.469e-06 -4.667e-07 -1.641e-07 -1.950e-07
bq3_CONF -1.324e-06 -1.749e-07 -4.019e-08 -9.321e-08
bq3_DAIR -2.295e-06 -2.865e-07 -7.181e-08 -1.259e-07
bq3_DRIN -1.551e-05 2.025e-08 3.638e-08 -1.383e-07
bq3_FRUI -5.115e-06 1.160e-06 -1.585e-07 -2.484e-07
bq3_MEAT 8.526e-07 -7.760e-08 -6.136e-08 -3.321e-08
bq3_FISH 2.769e-06 2.558e-07 6.953e-08 -8.887e-07
sig 2.027e-05 1.716e-06 5.029e-07 2.681e-07
gamma_OTHE deltamu_CERE deltamu_CONF deltamu_DAIR
alpha_base -1.521e-05 -2.374e-06 -1.957e-06 -1.473e-06
gamma_CERE 5.274e-05 -1.645e-05 -4.698e-07 -5.338e-06
gamma_CONF 3.412e-05 6.741e-07 -1.127e-05 -2.500e-06
gamma_DAIR 6.440e-05 1.364e-06 1.041e-06 -3.002e-05
gamma_DRIN 3.6228e-04 1.351e-05 8.611e-06 -1.755e-05
gamma_FRUI 6.164e-05 7.494e-07 2.577e-08 -5.878e-06
gamma_MEAT 1.824e-05 1.075e-07 -3.431e-09 -1.559e-06
gamma_FISH 2.448e-05 -1.641e-07 -1.172e-07 -2.623e-06
gamma_OTHE 4.310e-05 8.309e-06 7.952e-06 5.886e-06
deltamu_CERE 8.309e-06 6.799e-05 3.547e-05 3.633e-05
deltamu_CONF 7.952e-06 3.547e-05 7.180e-05 3.595e-05
deltamu_DAIR 5.886e-06 3.633e-05 3.595e-05 7.690e-05
deltamu_DRIN 5.677e-06 3.178e-05 3.265e-05 3.200e-05
deltamu_FRUI 7.893e-06 3.458e-05 3.496e-05 3.554e-05
deltamu_MEAT 6.729e-06 3.225e-05 3.159e-05 3.201e-05
deltamu_FISH 5.970e-06 3.040e-05 3.021e-05 2.944e-05
deltasigma_CERE -5.325e-07 -2.283e-06 -1.662e-08 -2.283e-07
deltasigma_CONF -8.007e-07 -6.343e-07 -2.903e-06 -5.737e-07
deltasigma_DAIR 1.126e-06 1.157e-06 7.354e-07 5.480e-06
deltasigma_DRIN 5.903e-07 2.454e-06 1.939e-06 2.075e-06
deltasigma_FRUI -1.612e-06 -1.181e-06 -1.136e-06 -2.001e-06
deltasigma_MEAT -1.989e-06 -2.187e-06 -1.464e-06 -2.053e-06
deltasigma_FISH 7.172e-07 9.905e-07 4.567e-07 9.830e-07
bq1_CERE 5.956e-08 -5.274e-05 -3.013e-05 -3.032e-05
bq1_CONF -4.341e-08 -3.030e-05 -5.291e-05 -3.035e-05
bq1_DAIR 8.231e-08 -3.033e-05 -3.022e-05 -5.119e-05
bq1_DRIN 6.907e-08 -2.966e-05 -2.966e-05 -2.980e-05
bq1_FRUI 4.729e-07 -2.983e-05 -2.970e-05 -2.993e-05
bq1_MEAT -3.299e-08 -2.998e-05 -2.988e-05 -3.019e-05
bq1_FISH -2.283e-08 -2.968e-05 -2.982e-05 -2.990e-05
bq2_CERE -6.204e-07 -5.359e-05 -3.055e-05 -3.079e-05
bq2_CONF -3.275e-07 -3.028e-05 -5.295e-05 -3.030e-05
bq2_DAIR -4.386e-07 -3.050e-05 -3.043e-05 -5.161e-05
bq2_DRIN -1.328e-07 -2.935e-05 -2.953e-05 -2.937e-05
bq2_FRUI -2.474e-07 -3.005e-05 -2.996e-05 -3.014e-05
bq2_MEAT -3.992e-07 -2.999e-05 -3.006e-05 -3.011e-05
bq2_FISH -2.007e-07 -2.948e-05 -2.972e-05 -2.963e-05
bq3_CERE -1.029e-06 -5.399e-05 -3.077e-05 -3.105e-05
bq3_CONF -7.223e-07 -3.050e-05 -5.314e-05 -3.046e-05
bq3_DAIR -8.035e-07 -3.070e-05 -3.046e-05 -5.203e-05
bq3_DRIN -2.069e-07 -2.911e-05 -2.926e-05 -2.914e-05
bq3_FRUI -1.050e-06 -3.069e-05 -3.057e-05 -3.092e-05
bq3_MEAT -5.855e-07 -3.006e-05 -3.003e-05 -3.010e-05
bq3_FISH -3.883e-07 -2.946e-05 -2.969e-05 -2.956e-05
sig 1.849e-06 2.448e-06 2.140e-06 2.973e-06
deltamu_DRIN deltamu_FRUI deltamu_MEAT deltamu_FISH
alpha_base 1.374e-06 -1.452e-06 9.215e-07 2.297e-06
gamma_CERE -1.824e-06 1.038e-06 3.143e-07 4.831e-07
gamma_CONF -1.218e-06 7.060e-07 -1.592e-07 -3.288e-07
gamma_DAIR -2.660e-06 1.063e-06 -1.640e-07 -1.011e-06
gamma_DRIN -1.0400e-04 1.211e-05 -3.347e-07 -9.285e-06
gamma_FRUI -1.884e-06 -1.822e-05 6.455e-07 3.463e-07
gamma_MEAT -6.547e-07 2.160e-08 -4.882e-06 2.924e-08
gamma_FISH -6.602e-07 -1.232e-07 5.553e-07 -6.051e-06
gamma_OTHE 5.677e-06 7.893e-06 6.729e-06 5.970e-06
deltamu_CERE 3.178e-05 3.458e-05 3.225e-05 3.040e-05
deltamu_CONF 3.265e-05 3.496e-05 3.159e-05 3.021e-05
deltamu_DAIR 3.200e-05 3.554e-05 3.201e-05 2.944e-05
deltamu_DRIN 9.110e-05 3.441e-05 3.348e-05 3.347e-05
deltamu_FRUI 3.441e-05 8.047e-05 3.131e-05 3.257e-05
deltamu_MEAT 3.348e-05 3.131e-05 9.623e-05 3.378e-05
deltamu_FISH 3.347e-05 3.257e-05 3.378e-05 9.801e-05
deltasigma_CERE 5.294e-07 9.189e-07 6.258e-07 1.157e-06
deltasigma_CONF 5.658e-07 -3.794e-08 -2.955e-07 1.237e-06
deltasigma_DAIR -9.173e-07 1.003e-06 -3.414e-07 -1.383e-06
deltasigma_DRIN -1.420e-06 6.175e-07 3.486e-07 -2.068e-06
deltasigma_FRUI 6.038e-07 -2.643e-06 3.127e-07 1.851e-06
deltasigma_MEAT 1.313e-06 -2.107e-06 4.237e-06 2.020e-06
deltasigma_FISH -5.344e-07 1.024e-06 -3.444e-07 -2.696e-06
bq1_CERE -2.988e-05 -3.023e-05 -2.991e-05 -2.962e-05
bq1_CONF -2.969e-05 -3.010e-05 -2.972e-05 -2.946e-05
bq1_DAIR -2.989e-05 -3.030e-05 -2.998e-05 -2.965e-05
bq1_DRIN -6.498e-05 -2.990e-05 -2.999e-05 -2.991e-05
bq1_FRUI -3.001e-05 -5.503e-05 -3.012e-05 -3.012e-05
bq1_MEAT -2.979e-05 -3.000e-05 -6.724e-05 -2.979e-05
bq1_FISH -2.975e-05 -3.000e-05 -2.994e-05 -8.259e-05
bq2_CERE -2.989e-05 -3.051e-05 -2.994e-05 -2.961e-05
bq2_CONF -3.004e-05 -3.016e-05 -2.995e-05 -2.993e-05
bq2_DAIR -3.019e-05 -3.054e-05 -3.013e-05 -2.991e-05
bq2_DRIN -6.515e-05 -2.987e-05 -3.024e-05 -3.066e-05
bq2_FRUI -3.018e-05 -5.527e-05 -3.020e-05 -3.029e-05
bq2_MEAT -2.999e-05 -3.016e-05 -6.734e-05 -3.014e-05
bq2_FISH -3.015e-05 -2.993e-05 -3.017e-05 -8.317e-05
bq3_CERE -2.992e-05 -3.066e-05 -3.000e-05 -2.964e-05
bq3_CONF -3.009e-05 -3.029e-05 -3.016e-05 -3.002e-05
bq3_DAIR -3.028e-05 -3.071e-05 -3.028e-05 -3.004e-05
bq3_DRIN -6.530e-05 -2.973e-05 -3.052e-05 -3.117e-05
bq3_FRUI -3.002e-05 -5.633e-05 -2.991e-05 -2.984e-05
bq3_MEAT -3.026e-05 -3.031e-05 -6.766e-05 -3.047e-05
bq3_FISH -3.033e-05 -2.980e-05 -3.060e-05 -8.342e-05
sig -9.537e-07 1.421e-06 -1.148e-06 -2.522e-06
deltasigma_CERE deltasigma_CONF deltasigma_DAIR deltasigma_DRIN
alpha_base 6.514e-07 1.185e-06 -1.466e-06 -1.767e-06
gamma_CERE 6.840e-06 -7.584e-07 1.668e-06 -5.945e-07
gamma_CONF -8.537e-07 3.230e-06 1.366e-06 3.087e-07
gamma_DAIR -1.552e-06 -2.185e-06 -6.650e-06 1.543e-06
gamma_DRIN -8.377e-06 -1.204e-05 1.854e-05 -5.649e-05
gamma_FRUI -1.848e-06 -1.572e-06 1.678e-06 8.666e-07
gamma_MEAT -4.959e-07 -7.875e-07 5.131e-07 3.690e-07
gamma_FISH -5.413e-07 -5.610e-07 6.730e-07 -1.802e-07
gamma_OTHE -5.325e-07 -8.007e-07 1.126e-06 5.903e-07
deltamu_CERE -2.283e-06 -6.343e-07 1.157e-06 2.454e-06
deltamu_CONF -1.662e-08 -2.903e-06 7.354e-07 1.939e-06
deltamu_DAIR -2.283e-07 -5.737e-07 5.480e-06 2.075e-06
deltamu_DRIN 5.294e-07 5.658e-07 -9.173e-07 -1.420e-06
deltamu_FRUI 9.189e-07 -3.794e-08 1.003e-06 6.175e-07
deltamu_MEAT 6.258e-07 -2.955e-07 -3.414e-07 3.486e-07
deltamu_FISH 1.157e-06 1.237e-06 -1.383e-06 -2.068e-06
deltasigma_CERE 1.911e-05 -1.927e-07 4.992e-07 -1.454e-07
deltasigma_CONF -1.927e-07 1.657e-05 5.772e-07 -4.184e-07
deltasigma_DAIR 4.992e-07 5.772e-07 1.678e-05 5.642e-07
deltasigma_DRIN -1.454e-07 -4.184e-07 5.642e-07 3.085e-05
deltasigma_FRUI -1.319e-06 -1.573e-07 -8.399e-07 9.833e-07
deltasigma_MEAT -9.914e-07 -6.652e-07 -9.000e-07 1.117e-06
deltasigma_FISH 1.817e-06 8.151e-07 -7.309e-07 3.370e-07
bq1_CERE -1.628e-07 -4.888e-08 -1.135e-07 -1.360e-07
bq1_CONF 1.072e-07 2.711e-07 1.369e-09 -1.575e-07
bq1_DAIR -1.262e-08 -1.913e-08 2.506e-08 -3.180e-09
bq1_DRIN -5.654e-08 7.361e-09 3.953e-08 2.447e-07
bq1_FRUI -3.548e-09 -6.334e-08 1.684e-07 5.591e-08
bq1_MEAT 1.123e-07 5.577e-08 -1.034e-07 -1.205e-07
bq1_FISH -7.128e-08 6.678e-08 -9.474e-08 3.430e-08
bq2_CERE 1.076e-07 7.687e-08 -1.639e-07 -3.218e-07
bq2_CONF 6.357e-09 4.053e-08 1.027e-07 -4.214e-08
bq2_DAIR -6.319e-08 -7.256e-08 1.483e-08 -3.091e-08
bq2_DRIN -1.254e-07 -1.511e-07 2.784e-07 1.055e-06
bq2_FRUI 5.642e-08 -9.236e-08 1.739e-07 -2.460e-08
bq2_MEAT -2.753e-08 -2.398e-08 -4.182e-08 -7.155e-08
bq2_FISH -1.697e-07 -2.678e-08 4.431e-08 1.969e-07
bq3_CERE 2.231e-07 2.440e-07 -1.813e-07 -3.628e-07
bq3_CONF -1.280e-09 3.190e-07 1.437e-07 -1.206e-07
bq3_DAIR -8.959e-08 -4.410e-08 -1.036e-07 -1.526e-07
bq3_DRIN -1.158e-07 -1.917e-07 5.109e-07 1.903e-06
bq3_FRUI 1.843e-07 2.099e-07 -8.532e-08 -3.795e-07
bq3_MEAT 5.199e-08 -2.215e-09 1.546e-08 -1.379e-07
bq3_FISH -1.921e-07 -1.034e-07 2.284e-07 3.423e-07
sig -6.008e-07 -1.024e-06 1.255e-06 1.954e-06
deltasigma_FRUI deltasigma_MEAT deltasigma_FISH bq1_CERE
alpha_base 1.894e-06 2.435e-06 -1.196e-06 3.443e-08
gamma_CERE -2.188e-06 -2.558e-06 1.468e-06 -3.721e-07
gamma_CONF -1.615e-06 -2.187e-06 8.500e-07 -2.630e-08
gamma_DAIR -3.155e-06 -3.593e-06 2.319e-06 4.426e-08
gamma_DRIN -2.266e-05 -2.803e-05 1.567e-05 -1.297e-08
gamma_FRUI 9.628e-06 -2.688e-06 1.575e-06 4.348e-08
gamma_MEAT -8.505e-07 4.153e-06 8.245e-07 1.464e-08
gamma_FISH -8.246e-07 -1.054e-06 -4.368e-06 1.968e-08
gamma_OTHE -1.612e-06 -1.989e-06 7.172e-07 5.956e-08
deltamu_CERE -1.181e-06 -2.187e-06 9.905e-07 -5.274e-05
deltamu_CONF -1.136e-06 -1.464e-06 4.567e-07 -3.013e-05
deltamu_DAIR -2.001e-06 -2.053e-06 9.830e-07 -3.032e-05
deltamu_DRIN 6.038e-07 1.313e-06 -5.344e-07 -2.988e-05
deltamu_FRUI -2.643e-06 -2.107e-06 1.024e-06 -3.023e-05
deltamu_MEAT 3.127e-07 4.237e-06 -3.444e-07 -2.991e-05
deltamu_FISH 1.851e-06 2.020e-06 -2.696e-06 -2.962e-05
deltasigma_CERE -1.319e-06 -9.914e-07 1.817e-06 -1.628e-07
deltasigma_CONF -1.573e-07 -6.652e-07 8.151e-07 -4.888e-08
deltasigma_DAIR -8.399e-07 -9.000e-07 -7.309e-07 -1.135e-07
deltasigma_DRIN 9.833e-07 1.117e-06 3.370e-07 -1.360e-07
deltasigma_FRUI 2.480e-05 1.690e-06 -3.537e-07 -2.816e-08
deltasigma_MEAT 1.690e-06 3.511e-05 9.436e-07 2.398e-08
deltasigma_FISH -3.537e-07 9.436e-07 2.962e-05 -7.567e-08
bq1_CERE -2.816e-08 2.398e-08 -7.567e-08 9.441e-05
bq1_CONF 9.599e-08 -3.686e-08 9.841e-09 5.379e-05
bq1_DAIR 1.022e-07 1.405e-07 -6.968e-08 5.405e-05
bq1_DRIN -1.011e-07 -3.174e-07 -4.141e-08 5.315e-05
bq1_FRUI -8.509e-07 -2.439e-07 6.660e-08 5.375e-05
bq1_MEAT -1.089e-07 2.464e-07 -2.744e-08 5.321e-05
bq1_FISH 2.352e-07 1.015e-07 -2.394e-07 5.287e-05
bq2_CERE 2.109e-07 1.320e-07 -1.419e-07 5.285e-05
bq2_CONF -5.252e-09 -1.658e-07 3.965e-08 3.022e-05
bq2_DAIR 1.242e-07 1.676e-07 -7.544e-08 3.036e-05
bq2_DRIN -3.696e-07 -5.876e-07 2.023e-07 2.985e-05
bq2_FRUI -5.666e-07 -2.842e-07 7.526e-08 3.021e-05
bq2_MEAT -1.806e-08 1.162e-07 7.080e-08 2.991e-05
bq2_FISH -3.127e-08 -3.051e-07 4.006e-07 2.969e-05
bq3_CERE 1.405e-07 2.944e-07 -1.086e-07 5.272e-05
bq3_CONF -1.264e-07 -3.437e-09 9.099e-09 3.019e-05
bq3_DAIR -6.472e-09 2.188e-07 -9.304e-08 3.033e-05
bq3_DRIN -6.265e-07 -7.372e-07 3.216e-07 2.979e-05
bq3_FRUI 2.937e-07 1.653e-07 -6.282e-09 3.017e-05
bq3_MEAT -2.012e-07 -9.254e-08 6.109e-08 2.987e-05
bq3_FISH -2.704e-07 -3.387e-07 3.440e-07 2.968e-05
sig -1.631e-06 -2.128e-06 1.024e-06 -3.611e-08
bq1_CONF bq1_DAIR bq1_DRIN bq1_FRUI
alpha_base 1.837e-07 2.491e-08 -7.708e-08 -4.164e-07
gamma_CERE -8.184e-08 1.511e-08 -1.920e-07 5.009e-07
gamma_CONF 6.927e-08 -2.057e-09 -8.423e-08 3.889e-07
gamma_DAIR -2.104e-07 -2.387e-07 -7.656e-08 8.477e-07
gamma_DRIN -1.416e-06 1.221e-08 -7.890e-06 5.451e-06
gamma_FRUI -1.001e-07 3.119e-08 -1.457e-07 -1.304e-06
gamma_MEAT -6.508e-08 1.194e-08 -6.850e-08 2.000e-07
gamma_FISH -4.302e-08 1.629e-08 -7.538e-08 2.278e-07
gamma_OTHE -4.341e-08 8.231e-08 6.907e-08 4.729e-07
deltamu_CERE -3.030e-05 -3.033e-05 -2.966e-05 -2.983e-05
deltamu_CONF -5.291e-05 -3.022e-05 -2.966e-05 -2.970e-05
deltamu_DAIR -3.035e-05 -5.119e-05 -2.980e-05 -2.993e-05
deltamu_DRIN -2.969e-05 -2.989e-05 -6.498e-05 -3.001e-05
deltamu_FRUI -3.010e-05 -3.030e-05 -2.990e-05 -5.503e-05
deltamu_MEAT -2.972e-05 -2.998e-05 -2.999e-05 -3.012e-05
deltamu_FISH -2.946e-05 -2.965e-05 -2.991e-05 -3.012e-05
deltasigma_CERE 1.072e-07 -1.262e-08 -5.654e-08 -3.548e-09
deltasigma_CONF 2.711e-07 -1.913e-08 7.361e-09 -6.334e-08
deltasigma_DAIR 1.369e-09 2.506e-08 3.953e-08 1.684e-07
deltasigma_DRIN -1.575e-07 -3.180e-09 2.447e-07 5.591e-08
deltasigma_FRUI 9.599e-08 1.022e-07 -1.011e-07 -8.509e-07
deltasigma_MEAT -3.686e-08 1.405e-07 -3.174e-07 -2.439e-07
deltasigma_FISH 9.841e-09 -6.968e-08 -4.141e-08 6.660e-08
bq1_CERE 5.379e-05 5.405e-05 5.315e-05 5.375e-05
bq1_CONF 9.428e-05 5.384e-05 5.317e-05 5.352e-05
bq1_DAIR 5.384e-05 9.163e-05 5.327e-05 5.397e-05
bq1_DRIN 5.317e-05 5.327e-05 1.1544e-04 5.325e-05
bq1_FRUI 5.352e-05 5.397e-05 5.325e-05 9.875e-05
bq1_MEAT 5.316e-05 5.337e-05 5.322e-05 5.333e-05
bq1_FISH 5.295e-05 5.298e-05 5.316e-05 5.310e-05
bq2_CERE 3.023e-05 3.038e-05 2.984e-05 3.018e-05
bq2_CONF 5.266e-05 3.025e-05 2.986e-05 3.008e-05
bq2_DAIR 3.024e-05 5.131e-05 2.993e-05 3.031e-05
bq2_DRIN 2.983e-05 2.991e-05 6.519e-05 2.998e-05
bq2_FRUI 3.007e-05 3.032e-05 2.994e-05 5.558e-05
bq2_MEAT 2.988e-05 3.001e-05 2.989e-05 3.002e-05
bq2_FISH 2.972e-05 2.977e-05 2.986e-05 2.990e-05
bq3_CERE 3.022e-05 3.035e-05 2.980e-05 3.011e-05
bq3_CONF 5.251e-05 3.021e-05 2.983e-05 3.001e-05
bq3_DAIR 3.020e-05 5.115e-05 2.988e-05 3.025e-05
bq3_DRIN 2.976e-05 2.986e-05 6.492e-05 2.995e-05
bq3_FRUI 3.006e-05 3.029e-05 2.985e-05 5.522e-05
bq3_MEAT 2.985e-05 2.999e-05 2.986e-05 3.001e-05
bq3_FISH 2.968e-05 2.975e-05 2.985e-05 2.988e-05
sig -1.716e-07 -3.393e-08 1.307e-07 3.099e-07
bq1_MEAT bq1_FISH bq2_CERE bq2_CONF
alpha_base 1.482e-07 1.202e-07 2.803e-07 -6.409e-08
gamma_CERE -6.087e-08 -1.586e-07 8.981e-07 5.861e-08
gamma_CONF -9.098e-08 -8.254e-08 -2.033e-07 2.444e-07
gamma_DAIR -5.732e-08 -5.153e-08 -3.437e-07 1.319e-07
gamma_DRIN -1.206e-06 -1.516e-06 -2.562e-06 6.146e-07
gamma_FRUI -1.196e-07 -6.464e-08 -2.727e-07 1.089e-07
gamma_MEAT -2.941e-08 -2.870e-08 -8.901e-08 1.895e-08
gamma_FISH -3.184e-08 -2.321e-08 -7.127e-08 4.480e-08
gamma_OTHE -3.299e-08 -2.283e-08 -6.204e-07 -3.275e-07
deltamu_CERE -2.998e-05 -2.968e-05 -5.359e-05 -3.028e-05
deltamu_CONF -2.988e-05 -2.982e-05 -3.055e-05 -5.295e-05
deltamu_DAIR -3.019e-05 -2.990e-05 -3.079e-05 -3.030e-05
deltamu_DRIN -2.979e-05 -2.975e-05 -2.989e-05 -3.004e-05
deltamu_FRUI -3.000e-05 -3.000e-05 -3.051e-05 -3.016e-05
deltamu_MEAT -6.724e-05 -2.994e-05 -2.994e-05 -2.995e-05
deltamu_FISH -2.979e-05 -8.259e-05 -2.961e-05 -2.993e-05
deltasigma_CERE 1.123e-07 -7.128e-08 1.076e-07 6.357e-09
deltasigma_CONF 5.577e-08 6.678e-08 7.687e-08 4.053e-08
deltasigma_DAIR -1.034e-07 -9.474e-08 -1.639e-07 1.027e-07
deltasigma_DRIN -1.205e-07 3.430e-08 -3.218e-07 -4.214e-08
deltasigma_FRUI -1.089e-07 2.352e-07 2.109e-07 -5.252e-09
deltasigma_MEAT 2.464e-07 1.015e-07 1.320e-07 -1.658e-07
deltasigma_FISH -2.744e-08 -2.394e-07 -1.419e-07 3.965e-08
bq1_CERE 5.321e-05 5.287e-05 5.285e-05 3.022e-05
bq1_CONF 5.316e-05 5.295e-05 3.023e-05 5.266e-05
bq1_DAIR 5.337e-05 5.298e-05 3.038e-05 3.025e-05
bq1_DRIN 5.322e-05 5.316e-05 2.984e-05 2.986e-05
bq1_FRUI 5.333e-05 5.310e-05 3.018e-05 3.008e-05
bq1_MEAT 1.2102e-04 5.324e-05 2.992e-05 2.988e-05
bq1_FISH 5.324e-05 1.4795e-04 2.971e-05 2.974e-05
bq2_CERE 2.992e-05 2.971e-05 9.042e-05 5.165e-05
bq2_CONF 2.988e-05 2.974e-05 5.165e-05 8.998e-05
bq2_DAIR 3.001e-05 2.977e-05 5.188e-05 5.170e-05
bq2_DRIN 2.986e-05 2.982e-05 5.103e-05 5.116e-05
bq2_FRUI 3.000e-05 2.985e-05 5.160e-05 5.143e-05
bq2_MEAT 6.757e-05 2.991e-05 5.113e-05 5.112e-05
bq2_FISH 2.991e-05 8.278e-05 5.083e-05 5.088e-05
bq3_CERE 2.989e-05 2.970e-05 5.287e-05 3.020e-05
bq3_CONF 2.984e-05 2.971e-05 3.022e-05 5.259e-05
bq3_DAIR 2.997e-05 2.976e-05 3.038e-05 3.023e-05
bq3_DRIN 2.982e-05 2.979e-05 2.975e-05 2.988e-05
bq3_FRUI 3.001e-05 2.984e-05 3.023e-05 3.004e-05
bq3_MEAT 6.732e-05 2.988e-05 2.990e-05 2.990e-05
bq3_FISH 2.987e-05 8.262e-05 2.967e-05 2.974e-05
sig -1.337e-07 -1.049e-07 -2.320e-07 5.179e-08
(...)
20 worst outliers in terms of lowest average per choice prediction:
ID Avg prob per choice
1107 1.799990e-08
4335 4.743375e-08
3894 7.152529e-08
3907 3.096934e-07
2408 3.136629e-07
1398 3.976777e-07
5718 3.978291e-07
591 4.458388e-07
7766 4.493917e-07
5953 4.517020e-07
1593 4.935153e-07
3464 6.083452e-07
3971 6.781527e-07
1007 7.020020e-07
5931 7.547205e-07
1882 7.701079e-07
2225 8.039169e-07
1324 9.069886e-07
6215 9.100669e-07
2000 9.377446e-07
Changes in parameter estimates from starting values:
Initial Estimate Difference
alpha_base -0.1000 -1.24713 -1.14713
gamma_CERE 1.0000 2.77008 1.77008
gamma_CONF 1.0000 1.73643 0.73643
gamma_DAIR 1.0000 2.82841 1.82841
gamma_DRIN 1.0000 17.12920 16.12920
gamma_FRUI 1.0000 3.24529 2.24529
gamma_MEAT 1.0000 1.07445 0.07445
gamma_FISH 1.0000 1.61985 0.61985
gamma_OTHE 1.0000 1.39739 0.39739
deltamu_CERE 0.0000 -0.04772 -0.04772
deltamu_CONF 0.0000 0.76505 0.76505
deltamu_DAIR 0.0000 0.70993 0.70993
deltamu_DRIN 0.0000 -2.69255 -2.69255
deltamu_FRUI 0.0000 -0.49775 -0.49775
deltamu_MEAT 0.0000 -0.02205 -0.02205
deltamu_FISH 0.0000 -0.72810 -0.72810
deltamu_OTHE 0.0000 0.00000 0.00000
deltasigma_CERE 0.0000 -0.37644 -0.37644
deltasigma_CONF 0.0000 -0.51532 -0.51532
deltasigma_DAIR 0.0000 0.51371 0.51371
deltasigma_DRIN 0.0000 0.77927 0.77927
deltasigma_FRUI 0.0000 -0.73787 -0.73787
deltasigma_MEAT 0.0000 -0.80386 -0.80386
deltasigma_FISH 0.0000 0.51502 0.51502
deltasigma_OTHE 0.0000 0.00000 0.00000
bq1_CERE 0.0000 -0.03149 -0.03149
bq1_CONF 0.0000 -0.12027 -0.12027
bq1_DAIR 0.0000 -0.02310 -0.02310
bq1_DRIN 0.0000 0.02320 0.02320
bq1_FRUI 0.0000 0.11959 0.11959
bq1_MEAT 0.0000 -0.07825 -0.07825
bq1_FISH 0.0000 -0.06806 -0.06806
bq2_CERE 0.0000 -0.05239 -0.05239
bq2_CONF 0.0000 0.03010 0.03010
bq2_DAIR 0.0000 0.06495 0.06495
bq2_DRIN 0.0000 0.31479 0.31479
bq2_FRUI 0.0000 0.24780 0.24780
bq2_MEAT 0.0000 0.07225 0.07225
bq2_FISH 0.0000 0.12736 0.12736
bq3_CERE 0.0000 -0.03564 -0.03564
bq3_CONF 0.0000 0.06531 0.06531
bq3_DAIR 0.0000 0.11894 0.11894
bq3_DRIN 0.0000 0.53515 0.53515
bq3_FRUI 0.0000 0.08814 0.08814
bq3_MEAT 0.0000 0.18605 0.18605
bq3_FISH 0.0000 0.31202 0.31202
bq1_OTHE 0.0000 0.00000 0.00000
bq2_OTHE 0.0000 0.00000 0.00000
bq3_OTHE 0.0000 0.00000 0.00000
sig 1.0000 0.98783 -0.01217
Settings and functions used in model definition:
apollo_control
--------------
Value
modelName "Model_4"
modelDescr "MDCEV model 4"
indivID "id_hh"
outputDirectory "Estimation in R/output/"
nCores "7"
panelData "TRUE"
mixing "TRUE"
debug "FALSE"
workInLogs "FALSE"
seed "13"
HB "FALSE"
noValidation "FALSE"
noDiagnostics "FALSE"
calculateLLC "TRUE"
analyticGrad "TRUE"
analyticGrad_manualSet "FALSE"
overridePanel "FALSE"
preventOverridePanel "FALSE"
noModification "FALSE"
Hessian routines attempted
--------------------------
numerical second derivative of LL (using numDeriv)
Scaling in estimation
---------------------
Value
alpha_base 1.24716362
gamma_CERE 2.77009654
gamma_CONF 1.73643271
gamma_DAIR 2.82839370
gamma_DRIN 17.12917820
gamma_FRUI 3.24525642
gamma_MEAT 1.07443565
gamma_FISH 1.61985051
gamma_OTHE 1.39740246
deltamu_CERE 0.04771557
deltamu_CONF 0.76505010
deltamu_DAIR 0.70992851
deltamu_DRIN 2.69253674
deltamu_FRUI 0.49775388
deltamu_MEAT 0.02205239
deltamu_FISH 0.72809741
deltasigma_CERE 0.37643617
deltasigma_CONF 0.51532308
deltasigma_DAIR 0.51371079
deltasigma_DRIN 0.77926748
deltasigma_FRUI 0.73786746
deltasigma_MEAT 0.80385519
deltasigma_FISH 0.51502382
bq1_CERE 0.03148717
bq1_CONF 0.12026826
bq1_DAIR 0.02309677
bq1_DRIN 0.02319548
bq1_FRUI 0.11958901
bq1_MEAT 0.07825262
bq1_FISH 0.06805617
bq2_CERE 0.05239023
bq2_CONF 0.03010223
bq2_DAIR 0.06494890
bq2_DRIN 0.31479041
bq2_FRUI 0.24780281
bq2_MEAT 0.07224981
bq2_FISH 0.12736122
bq3_CERE 0.03564169
bq3_CONF 0.06530840
bq3_DAIR 0.11893755
bq3_DRIN 0.53514619
bq3_FRUI 0.08814024
bq3_MEAT 0.18604828
bq3_FISH 0.31201846
sig 0.98781069
Scaling used in computing Hessian
---------------------------------
Value
alpha_base 1.24712964
gamma_CERE 2.77007964
gamma_CONF 1.73643094
gamma_DAIR 2.82840682
gamma_DRIN 17.12920434
gamma_FRUI 3.24529481
gamma_MEAT 1.07444734
gamma_FISH 1.61984972
gamma_OTHE 1.39739398
deltamu_CERE 0.04771558
deltamu_CONF 0.76504978
deltamu_DAIR 0.70993058
deltamu_DRIN 2.69255116
deltamu_FRUI 0.49775376
deltamu_MEAT 0.02205239
deltamu_FISH 0.72809789
deltasigma_CERE 0.37643605
deltasigma_CONF 0.51532276
deltasigma_DAIR 0.51371030
deltasigma_DRIN 0.77926636
deltasigma_FRUI 0.73786774
deltasigma_MEAT 0.80385505
deltasigma_FISH 0.51502370
bq1_CERE 0.03148717
bq1_CONF 0.12026826
bq1_DAIR 0.02309677
bq1_DRIN 0.02319548
bq1_FRUI 0.11958901
bq1_MEAT 0.07825261
bq1_FISH 0.06805617
bq2_CERE 0.05239023
bq2_CONF 0.03010223
bq2_DAIR 0.06494891
bq2_DRIN 0.31479035
bq2_FRUI 0.24780281
bq2_MEAT 0.07224981
bq2_FISH 0.12736121
bq3_CERE 0.03564169
bq3_CONF 0.06530840
bq3_DAIR 0.11893757
bq3_DRIN 0.53514603
bq3_FRUI 0.08814024
bq3_MEAT 0.18604829
bq3_FISH 0.31201845
sig 0.98782966
apollo_randCoeff
------------------
function(apollo_beta, apollo_inputs){
randcoeff = list()
randcoeff[["delta_CERE"]] = deltamu_CERE + deltasigma_CERE *draws_CERE
randcoeff[["delta_CONF"]] = deltamu_CONF + deltasigma_CONF *draws_CONF
randcoeff[["delta_DAIR"]] = deltamu_DAIR + deltasigma_DAIR *draws_DAIR
randcoeff[["delta_DRIN"]] = deltamu_DRIN + deltasigma_DRIN *draws_DRIN
randcoeff[["delta_FRUI"]] = deltamu_FRUI + deltasigma_FRUI *draws_FRUI
randcoeff[["delta_MEAT"]] = deltamu_MEAT + deltasigma_MEAT *draws_MEAT
randcoeff[["delta_FISH"]] = deltamu_FISH + deltasigma_FISH *draws_FISH
randcoeff[["delta_OTHE"]] = deltamu_OTHE + deltasigma_OTHE *draws_OTHE
#for(j in goods){
#randcoeff[[paste0("q1_",j)]] = get(paste0("bqmu1_",j)) + get(paste0("bqsigma1_",j))*get(paste0("draws_",j))
#randcoeff[[paste0("q2_",j)]] = get(paste0("bqmu2_",j)) + get(paste0("bqsigma2_",j))*get(paste0("draws_",j))
#randcoeff[[paste0("q3_",j)]] = get(paste0("bqmu3_",j)) + get(paste0("bqsigma3_",j))*get(paste0("draws_",j))
# }
return(randcoeff)
}
<bytecode: 0x0000026ebadaf640>
apollo_probabilities
----------------------
function(apollo_beta, apollo_inputs, functionality="estimate"){
### Attach inputs and detach after function exit
apollo_attach(apollo_beta, apollo_inputs)
on.exit(apollo_detach(apollo_beta, apollo_inputs))
### Create list of probabilities P
P = list()
### Define individual alternatives
alternatives = c("CERE" ,
"CONF" ,
"DAIR" ,
"DRIN" ,
"FRUI" ,
"MEAT" ,
"FISH" ,
"OTHE"
)
### Define availabilities
avail = list(CERE = 1 ,
CONF = 1 ,
DAIR = 1 ,
DRIN = 1 ,
FRUI = 1 ,
MEAT = 1 ,
FISH = 1 ,
OTHE = 1
)
### Define continuous consumption for individual alternatives
continuousChoice = list(CERE = volumeCERE ,
CONF = volumeCONF ,
DAIR = volumeDAIR ,
DRIN = volumeDRIN ,
FRUI = volumeFRUI ,
MEAT = volumeMEAT ,
FISH = volumeFISH ,
OTHE = volumeOTHE )
### Define recursive utilities for individual alternatives
V = list()
# V[["CERE"]] = delta_CERE
# V[["CONF"]] = delta_CONF
# V[["DAIR"]] = delta_DAIR
# V[["DRIN"]] = delta_DRIN
# V[["FRUI"]] = delta_FRUI
# V[["MEAT"]] = delta_MEAT
# V[["FISH"]] = delta_FISH
# V[["OTHE"]] = delta_OTHE
for(j in goods){
print(j)
V[[j]] = get(paste0("delta_",j)) +
get(paste0("bq1_",j))*(quarter==1) + get(paste0("bq2_",j))*(quarter==2) + get(paste0("bq3_",j))*(quarter==3)
}
### Define alpha parameters ##alternative
alpha = list(CERE = 1 - exp(-alpha_base) ,
CONF = 1 - exp(-alpha_base) ,
DAIR = 1 - exp(-alpha_base) ,
DRIN = 1 - exp(-alpha_base) ,
FRUI = 1 - exp(-alpha_base) ,
MEAT = 1 - exp(-alpha_base) ,
FISH = 1 - exp(-alpha_base) ,
OTHE = 1 - exp(-alpha_base)
)
### Define gamma parameters
gamma = list(CERE = gamma_CERE ,
CONF = gamma_CONF ,
DAIR = gamma_DAIR ,
DRIN = gamma_DRIN ,
FRUI = gamma_FRUI ,
MEAT = gamma_MEAT ,
FISH = gamma_FISH ,
OTHE = gamma_OTHE
)
### Define costs for individual alternatives
cost = list(CERE = priceCERE ,
CONF = priceCONF ,
DAIR = priceDAIR ,
DRIN = priceDRIN ,
FRUI = priceFRUI ,
MEAT = priceMEAT ,
FISH = priceFISH ,
OTHE = priceOTHE
)
### Define settings for MDCEV model
mdcev_settings <- list(alternatives = alternatives,
avail = avail,
continuousChoice = continuousChoice,
utilities = V,
alpha = alpha,
gamma = gamma,
sigma = sig,
cost = cost,
budget = exp_week)
### Compute probabilities using MDCEV model
P[["model"]] = apollo_mdcev(mdcev_settings, functionality)
### Take product across observation for same individual
P = apollo_panelProd(P, apollo_inputs, functionality)
### Average across inter-individual draws
P = apollo_avgInterDraws(P, apollo_inputs, functionality)
### Prepare and return outputs of function
P = apollo_prepareProb(P, apollo_inputs, functionality)
return(P)
}
-
stephanehess
- Site Admin
- Posts: 1085
- Joined: 24 Apr 2020, 16:29
Re: Function evaluation limit exceeded.
Your estimate for sig is very suspicious. What did you get with the non-random version?
Re: Function evaluation limit exceeded.
Dear Stephane, you can find below the output of the non-random model with the same specification.
Model run by beatrice.biondi7 using Apollo 0.3.2 on R 4.3.1 for Windows.
Please acknowledge the use of Apollo by citing Hess & Palma (2019)
DOI 10.1016/j.jocm.2019.100170
www.ApolloChoiceModelling.com
Model name : Model0
Model description : MDCEV model 0
Model run at : 2024-05-29 14:50:21.020711
Estimation method : bfgs
Model diagnosis : successful convergence
Optimisation diagnosis : Maximum found
hessian properties : Negative definite
maximum eigenvalue : -82.202654
reciprocal of condition number : 2.33129e-05
Number of individuals : 8431
Number of rows in database : 315315
Number of modelled outcomes : 315315
Number of cores used : 7
Model without mixing
LL(start) : -3034986
LL at equal shares, LL(0) : NA
LL at observed shares, LL(C) : NA
LL(final) : -2320919
Rho-squared vs equal shares : Not applicable
Adj.Rho-squared vs equal shares : Not applicable
Rho-squared vs observed shares : Not applicable
Adj.Rho-squared vs observed shares : Not applicable
AIC : 4641913
BIC : 4642319
Estimated parameters : 38
Time taken (hh:mm:ss) : 00:23:38.64
pre-estimation : 00:01:11.5
estimation : 00:11:36.32
initial estimation : 00:11:9.8
estimation after rescaling : 00:00:26.53
post-estimation : 00:10:50.81
Iterations : 73
initial estimation : 70
estimation after rescaling : 3
Unconstrained optimisation.
Estimates:
Estimate s.e. t.rat.(0) p(2-sided) Rob.s.e. Rob.t.rat.(0) p(2-sided)
alpha_base -1.28910 0.003320 -388.2701 0.000000 0.009470 -136.1309 0.000000
gamma_CERE 2.95103 0.013934 211.7833 0.000000 0.030500 96.7564 0.000000
gamma_CONF 1.92304 0.009256 207.7666 0.000000 0.020599 93.3569 0.000000
gamma_DAIR 3.23798 0.017215 188.0886 0.000000 0.040265 80.4162 0.000000
gamma_DRIN 20.23657 0.108091 187.2179 0.000000 0.298353 67.8277 0.000000
gamma_FRUI 3.86262 0.018248 211.6731 0.000000 0.043101 89.6188 0.000000
gamma_MEAT 1.26877 0.006216 204.1297 0.000000 0.013814 91.8491 0.000000
gamma_FISH 1.67259 0.008947 186.9451 0.000000 0.016000 104.5382 0.000000
gamma_OTHE 1.43692 0.007084 202.8402 0.000000 0.015239 94.2943 0.000000
delta_CERE -0.07507 0.008200 -9.1557 0.000000 0.012587 -5.9644 2.456e-09
delta_CONF 0.68778 0.008165 84.2384 0.000000 0.012900 53.3169 0.000000
delta_DAIR 0.57293 0.008327 68.8029 0.000000 0.012897 44.4223 0.000000
delta_DRIN -2.74319 0.008700 -315.3219 0.000000 0.013826 -198.4047 0.000000
delta_FRUI -0.60260 0.008162 -73.8274 0.000000 0.013450 -44.8032 0.000000
delta_MEAT -0.02793 0.008825 -3.1653 0.001549 0.014421 -1.9370 0.052747
delta_FISH -0.74812 0.009850 -75.9507 0.000000 0.015712 -47.6140 0.000000
delta_OTHE 0.00000 NA NA NA NA NA NA
bq1_CERE -0.02803 0.010146 -2.7622 0.005742 0.011404 -2.4575 0.013991
bq1_CONF -0.11893 0.010125 -11.7464 0.000000 0.011310 -10.5157 0.000000
bq1_DAIR -0.02521 0.009977 -2.5271 0.011501 0.010656 -2.3661 0.017974
bq1_DRIN 0.01097 0.011158 0.9830 0.325627 0.012136 0.9037 0.366145
bq1_FRUI 0.09899 0.010337 9.5763 0.000000 0.011893 8.3228 0.000000
bq1_MEAT -0.07597 0.011415 -6.6552 2.829e-11 0.012523 -6.0668 1.305e-09
bq1_FISH -0.06647 0.012713 -5.2288 1.706e-07 0.014362 -4.6285 3.683e-06
bq2_CERE -0.04624 0.009932 -4.6559 3.225e-06 0.010893 -4.2454 2.182e-05
bq2_CONF 0.03388 0.009897 3.4235 6.1819e-04 0.010771 3.1456 0.001657
bq2_DAIR 0.06972 0.009747 7.1534 8.469e-13 0.010080 6.9173 4.602e-12
bq2_DRIN 0.30234 0.010822 27.9384 0.000000 0.011630 25.9972 0.000000
bq2_FRUI 0.23251 0.010094 23.0345 0.000000 0.011504 20.2105 0.000000
bq2_MEAT 0.07717 0.011137 6.9292 4.233e-12 0.011797 6.5416 6.085e-11
bq2_FISH 0.13142 0.012343 10.6474 0.000000 0.013874 9.4719 0.000000
bq3_CERE -0.03021 0.010245 -2.9485 0.003193 0.011265 -2.6815 0.007329
bq3_CONF 0.07235 0.010197 7.0951 1.293e-12 0.011144 6.4921 8.463e-11
bq3_DAIR 0.12604 0.010039 12.5552 0.000000 0.010393 12.1269 0.000000
bq3_DRIN 0.51187 0.011070 46.2395 0.000000 0.011926 42.9197 0.000000
bq3_FRUI 0.09781 0.010435 9.3729 0.000000 0.011488 8.5142 0.000000
bq3_MEAT 0.18348 0.011460 16.0103 0.000000 0.011943 15.3630 0.000000
bq3_FISH 0.32302 0.012607 25.6225 0.000000 0.013840 23.3389 0.000000
bq1_OTHE 0.00000 NA NA NA NA NA NA
bq2_OTHE 0.00000 NA NA NA NA NA NA
bq3_OTHE 0.00000 NA NA NA NA NA NA
sig 1.04108 0.001641 634.2739 0.000000 0.004714 220.8446 0.000000
Overview of choices for model component :
CERE CONF DAIR DRIN FRUI MEAT FISH OTHE
Times available 315315.00 315315.00 315315.0 315315.00 315315.00 315315.00 315315.00 315315.00
Observations in which chosen 241267.00 240825.00 265740.0 165904.00 219251.00 139419.00 101001.00 177336.00
Average consumption when available 1.65 1.09 2.7 6.93 1.71 0.26 0.21 0.57
Average consumption when chosen 2.15 1.43 3.2 13.17 2.46 0.59 0.65 1.01
Classical covariance matrix:
alpha_base gamma_CERE gamma_CONF gamma_DAIR gamma_DRIN gamma_FRUI gamma_MEAT gamma_FISH gamma_OTHE delta_CERE delta_CONF
alpha_base 1.102e-05 -3.492e-05 -2.375e-05 -4.637e-05 -2.7117e-04 -4.503e-05 -1.343e-05 -1.583e-05 -1.810e-05 -2.220e-06 -1.674e-06
gamma_CERE -3.492e-05 1.9416e-04 9.153e-05 1.7632e-04 0.001004 1.7667e-04 5.219e-05 6.311e-05 6.684e-05 -1.577e-05 -8.822e-07
gamma_CONF -2.375e-05 9.153e-05 8.567e-05 1.1706e-04 6.6849e-04 1.1680e-04 3.459e-05 4.163e-05 4.455e-05 4.021e-07 -1.097e-05
gamma_DAIR -4.637e-05 1.7632e-04 1.1706e-04 2.9636e-04 0.001293 2.2535e-04 6.659e-05 8.012e-05 8.612e-05 1.366e-06 4.585e-07
gamma_DRIN -2.7117e-04 0.001004 6.6849e-04 0.001293 0.011684 0.001285 3.8132e-04 4.5741e-04 4.9502e-04 1.675e-05 9.486e-06
gamma_FRUI -4.503e-05 1.7667e-04 1.1680e-04 2.2535e-04 0.001285 3.3299e-04 6.676e-05 8.050e-05 8.559e-05 -7.987e-09 -6.135e-07
gamma_MEAT -1.343e-05 5.219e-05 3.459e-05 6.659e-05 3.8132e-04 6.676e-05 3.863e-05 2.379e-05 2.537e-05 1.569e-07 -9.326e-08
gamma_FISH -1.583e-05 6.311e-05 4.163e-05 8.012e-05 4.5741e-04 8.050e-05 2.379e-05 8.005e-05 3.041e-05 -2.411e-07 -4.370e-07
gamma_OTHE -1.810e-05 6.684e-05 4.455e-05 8.612e-05 4.9502e-04 8.559e-05 2.537e-05 3.041e-05 5.018e-05 8.344e-06 7.873e-06
delta_CERE -2.220e-06 -1.577e-05 4.021e-07 1.366e-06 1.675e-05 -7.987e-09 1.569e-07 -2.411e-07 8.344e-06 6.724e-05 3.801e-05
delta_CONF -1.674e-06 -8.822e-07 -1.097e-05 4.585e-07 9.486e-06 -6.135e-07 -9.326e-08 -4.370e-07 7.873e-06 3.801e-05 6.666e-05
delta_DAIR -8.805e-07 -6.800e-06 -3.701e-06 -2.909e-05 -2.743e-05 -8.112e-06 -2.194e-06 -3.111e-06 5.436e-06 3.890e-05 3.828e-05
delta_DRIN 1.505e-06 -1.699e-06 -1.432e-06 -3.104e-06 -1.1135e-04 -2.352e-06 -7.612e-07 -7.148e-07 5.816e-06 3.447e-05 3.479e-05
delta_FRUI -1.202e-06 7.737e-08 4.500e-07 9.890e-07 1.047e-05 -1.758e-05 1.513e-07 -5.798e-09 7.917e-06 3.715e-05 3.673e-05
delta_MEAT 8.599e-07 9.414e-07 2.998e-07 2.517e-07 -1.631e-06 8.981e-07 -5.351e-06 5.162e-07 7.078e-06 3.455e-05 3.478e-05
delta_FISH 2.269e-06 7.133e-07 -2.134e-07 -1.176e-06 -1.343e-05 4.630e-07 3.427e-08 -5.851e-06 6.245e-06 3.304e-05 3.350e-05
bq1_CERE 5.157e-09 -2.275e-07 3.162e-08 7.210e-08 -3.640e-08 6.932e-08 2.010e-08 2.658e-08 1.049e-07 -5.750e-05 -3.300e-05
bq1_CONF 1.737e-07 -6.035e-08 4.294e-08 -1.837e-07 -1.907e-06 -9.265e-08 -3.687e-08 -1.333e-08 -1.857e-08 -3.314e-05 -5.737e-05
bq1_DAIR 1.142e-08 5.279e-08 4.128e-08 -2.236e-07 -3.069e-08 5.777e-08 2.627e-08 2.712e-08 1.111e-07 -3.314e-05 -3.299e-05
bq1_DRIN -9.028e-08 -6.340e-08 -9.936e-09 8.866e-09 -6.249e-06 -5.720e-08 -1.771e-08 -4.014e-08 1.254e-07 -3.237e-05 -3.251e-05
bq1_FRUI -3.499e-07 4.007e-07 3.443e-07 7.152e-07 4.693e-06 -8.662e-07 1.792e-07 1.633e-07 4.229e-07 -3.263e-05 -3.250e-05
bq1_MEAT 1.116e-07 -1.806e-08 -4.136e-08 -1.118e-07 -1.241e-06 -1.598e-08 3.194e-08 -1.496e-08 1.982e-08 -3.270e-05 -3.272e-05
bq1_FISH 9.025e-08 -8.423e-09 -3.767e-08 -7.646e-08 -9.420e-07 -2.056e-08 -1.170e-08 -1.295e-08 3.792e-08 -3.253e-05 -3.256e-05
bq2_CERE 2.288e-07 1.000e-06 -1.359e-07 -2.886e-07 -2.761e-06 -2.137e-07 -6.843e-08 -5.649e-08 -5.863e-07 -5.828e-05 -3.336e-05
bq2_CONF -8.208e-08 1.414e-07 2.770e-07 2.406e-07 1.033e-06 1.876e-07 5.867e-08 4.832e-08 -3.203e-07 -3.315e-05 -5.742e-05
bq2_DAIR -7.983e-09 2.991e-08 6.646e-09 4.296e-07 -2.164e-07 -3.641e-09 5.292e-10 -1.678e-08 -4.077e-07 -3.333e-05 -3.318e-05
bq2_DRIN -5.607e-07 3.301e-08 1.762e-07 5.275e-07 -6.109e-06 1.613e-07 6.758e-08 -3.196e-08 -9.767e-08 -3.214e-05 -3.235e-05
bq2_FRUI -2.289e-07 3.840e-08 7.986e-08 2.403e-07 1.816e-06 -3.862e-07 2.742e-08 -1.678e-08 -2.713e-07 -3.286e-05 -3.272e-05
bq2_MEAT -6.503e-08 5.582e-09 2.522e-08 7.175e-08 4.622e-07 2.717e-08 6.323e-08 -1.058e-08 -3.715e-07 -3.274e-05 -3.278e-05
bq2_FISH -3.323e-07 1.999e-07 2.077e-07 5.073e-07 3.677e-06 3.011e-07 1.116e-07 -2.396e-07 -1.622e-07 -3.237e-05 -3.246e-05
bq3_CERE 4.184e-07 1.567e-06 -2.945e-07 -6.222e-07 -5.344e-06 -3.892e-07 -1.544e-07 -1.496e-07 -1.033e-06 -5.875e-05 -3.360e-05
bq3_CONF 4.097e-08 -2.322e-08 2.939e-07 -6.346e-08 -1.213e-06 -2.061e-08 -2.652e-08 -4.800e-08 -7.373e-07 -3.335e-05 -5.767e-05
bq3_DAIR 7.795e-08 -6.687e-08 -8.790e-08 6.776e-07 -1.812e-06 -9.603e-08 -5.889e-08 -8.712e-08 -7.850e-07 -3.351e-05 -3.334e-05
bq3_DRIN -8.555e-07 6.318e-08 2.596e-07 7.901e-07 -8.721e-06 2.476e-07 1.034e-07 -4.563e-08 -2.180e-07 -3.197e-05 -3.223e-05
bq3_FRUI 3.283e-07 -2.952e-07 -2.983e-07 -5.989e-07 -4.666e-06 1.285e-06 -1.584e-07 -1.728e-07 -9.928e-07 -3.346e-05 -3.322e-05
bq3_MEAT -1.335e-07 1.645e-08 4.098e-08 1.302e-07 1.150e-06 5.209e-08 4.207e-08 -1.546e-08 -6.245e-07 -3.279e-05 -3.284e-05
bq3_FISH -4.886e-07 2.300e-07 2.629e-07 6.673e-07 5.052e-06 3.606e-07 1.318e-07 -7.809e-07 -3.639e-07 -3.234e-05 -3.246e-05
sig -2.780e-06 1.459e-06 1.656e-06 3.888e-06 2.853e-05 2.256e-06 7.497e-07 3.761e-07 2.007e-06 2.428e-06 2.007e-06
delta_DAIR delta_DRIN delta_FRUI delta_MEAT delta_FISH bq1_CERE bq1_CONF bq1_DAIR bq1_DRIN bq1_FRUI bq1_MEAT
alpha_base -8.805e-07 1.505e-06 -1.202e-06 8.599e-07 2.269e-06 5.157e-09 1.737e-07 1.142e-08 -9.028e-08 -3.499e-07 1.116e-07
gamma_CERE -6.800e-06 -1.699e-06 7.737e-08 9.414e-07 7.133e-07 -2.275e-07 -6.035e-08 5.279e-08 -6.340e-08 4.007e-07 -1.806e-08
gamma_CONF -3.701e-06 -1.432e-06 4.500e-07 2.998e-07 -2.134e-07 3.162e-08 4.294e-08 4.128e-08 -9.936e-09 3.443e-07 -4.136e-08
gamma_DAIR -2.909e-05 -3.104e-06 9.890e-07 2.517e-07 -1.176e-06 7.210e-08 -1.837e-07 -2.236e-07 8.866e-09 7.152e-07 -1.118e-07
gamma_DRIN -2.743e-05 -1.1135e-04 1.047e-05 -1.631e-06 -1.343e-05 -3.640e-08 -1.907e-06 -3.069e-08 -6.249e-06 4.693e-06 -1.241e-06
gamma_FRUI -8.112e-06 -2.352e-06 -1.758e-05 8.981e-07 4.630e-07 6.932e-08 -9.265e-08 5.777e-08 -5.720e-08 -8.662e-07 -1.598e-08
gamma_MEAT -2.194e-06 -7.612e-07 1.513e-07 -5.351e-06 3.427e-08 2.010e-08 -3.687e-08 2.627e-08 -1.771e-08 1.792e-07 3.194e-08
gamma_FISH -3.111e-06 -7.148e-07 -5.798e-09 5.162e-07 -5.851e-06 2.658e-08 -1.333e-08 2.712e-08 -4.014e-08 1.633e-07 -1.496e-08
gamma_OTHE 5.436e-06 5.816e-06 7.917e-06 7.078e-06 6.245e-06 1.049e-07 -1.857e-08 1.111e-07 1.254e-07 4.229e-07 1.982e-08
delta_CERE 3.890e-05 3.447e-05 3.715e-05 3.455e-05 3.304e-05 -5.750e-05 -3.314e-05 -3.314e-05 -3.237e-05 -3.263e-05 -3.270e-05
delta_CONF 3.828e-05 3.479e-05 3.673e-05 3.478e-05 3.350e-05 -3.300e-05 -5.737e-05 -3.299e-05 -3.251e-05 -3.250e-05 -3.272e-05
delta_DAIR 6.934e-05 3.453e-05 3.743e-05 3.449e-05 3.277e-05 -3.315e-05 -3.316e-05 -5.559e-05 -3.246e-05 -3.271e-05 -3.282e-05
delta_DRIN 3.453e-05 7.568e-05 3.504e-05 3.632e-05 3.698e-05 -3.247e-05 -3.252e-05 -3.257e-05 -7.006e-05 -3.265e-05 -3.269e-05
delta_FRUI 3.743e-05 3.504e-05 6.662e-05 3.532e-05 3.444e-05 -3.289e-05 -3.278e-05 -3.298e-05 -3.248e-05 -5.958e-05 -3.286e-05
delta_MEAT 3.449e-05 3.632e-05 3.532e-05 7.788e-05 3.707e-05 -3.259e-05 -3.255e-05 -3.269e-05 -3.279e-05 -3.291e-05 -7.258e-05
delta_FISH 3.277e-05 3.698e-05 3.444e-05 3.707e-05 9.702e-05 -3.243e-05 -3.231e-05 -3.248e-05 -3.288e-05 -3.290e-05 -3.268e-05
bq1_CERE -3.315e-05 -3.247e-05 -3.289e-05 -3.259e-05 -3.243e-05 1.0295e-04 5.881e-05 5.905e-05 5.790e-05 5.861e-05 5.808e-05
bq1_CONF -3.316e-05 -3.252e-05 -3.278e-05 -3.255e-05 -3.231e-05 5.881e-05 1.0252e-04 5.877e-05 5.814e-05 5.827e-05 5.814e-05
bq1_DAIR -5.559e-05 -3.257e-05 -3.298e-05 -3.269e-05 -3.248e-05 5.905e-05 5.877e-05 9.955e-05 5.808e-05 5.881e-05 5.825e-05
bq1_DRIN -3.246e-05 -7.006e-05 -3.248e-05 -3.279e-05 -3.288e-05 5.790e-05 5.814e-05 5.808e-05 1.2449e-04 5.798e-05 5.833e-05
bq1_FRUI -3.271e-05 -3.265e-05 -5.958e-05 -3.291e-05 -3.290e-05 5.861e-05 5.827e-05 5.881e-05 5.798e-05 1.0685e-04 5.839e-05
bq1_MEAT -3.282e-05 -3.269e-05 -3.286e-05 -7.258e-05 -3.268e-05 5.808e-05 5.814e-05 5.825e-05 5.833e-05 5.839e-05 1.3031e-04
bq1_FISH -3.262e-05 -3.272e-05 -3.268e-05 -3.276e-05 -9.038e-05 5.784e-05 5.793e-05 5.798e-05 5.843e-05 5.814e-05 5.848e-05
bq2_CERE -3.357e-05 -3.260e-05 -3.319e-05 -3.271e-05 -3.245e-05 5.759e-05 3.303e-05 3.316e-05 3.251e-05 3.289e-05 3.264e-05
bq2_CONF -3.314e-05 -3.284e-05 -3.289e-05 -3.286e-05 -3.276e-05 3.302e-05 5.721e-05 3.301e-05 3.265e-05 3.274e-05 3.266e-05
bq2_DAIR -5.599e-05 -3.280e-05 -3.318e-05 -3.292e-05 -3.274e-05 3.316e-05 3.301e-05 5.569e-05 3.262e-05 3.301e-05 3.274e-05
bq2_DRIN -3.218e-05 -7.041e-05 -3.247e-05 -3.323e-05 -3.358e-05 3.252e-05 3.260e-05 3.262e-05 7.024e-05 3.263e-05 3.275e-05
bq2_FRUI -3.293e-05 -3.285e-05 -5.997e-05 -3.311e-05 -3.309e-05 3.291e-05 3.272e-05 3.301e-05 3.258e-05 6.002e-05 3.282e-05
bq2_MEAT -3.284e-05 -3.298e-05 -3.297e-05 -7.287e-05 -3.308e-05 3.263e-05 3.266e-05 3.273e-05 3.278e-05 3.284e-05 7.265e-05
bq2_FISH -3.242e-05 -3.311e-05 -3.269e-05 -3.315e-05 -9.096e-05 3.248e-05 3.250e-05 3.255e-05 3.281e-05 3.270e-05 3.282e-05
bq3_CERE -3.385e-05 -3.264e-05 -3.340e-05 -3.276e-05 -3.241e-05 5.759e-05 3.304e-05 3.316e-05 3.250e-05 3.288e-05 3.265e-05
bq3_CONF -3.333e-05 -3.292e-05 -3.305e-05 -3.295e-05 -3.280e-05 3.302e-05 5.722e-05 3.301e-05 3.264e-05 3.273e-05 3.266e-05
bq3_DAIR -5.631e-05 -3.289e-05 -3.334e-05 -3.301e-05 -3.280e-05 3.316e-05 3.301e-05 5.568e-05 3.262e-05 3.300e-05 3.274e-05
bq3_DRIN -3.196e-05 -7.056e-05 -3.244e-05 -3.349e-05 -3.403e-05 3.251e-05 3.258e-05 3.261e-05 7.026e-05 3.266e-05 3.274e-05
bq3_FRUI -3.357e-05 -3.274e-05 -6.070e-05 -3.302e-05 -3.271e-05 3.292e-05 3.275e-05 3.301e-05 3.256e-05 5.994e-05 3.284e-05
bq3_MEAT -3.288e-05 -3.314e-05 -3.306e-05 -7.302e-05 -3.328e-05 3.263e-05 3.265e-05 3.273e-05 3.278e-05 3.285e-05 7.264e-05
bq3_FISH -3.237e-05 -3.331e-05 -3.274e-05 -3.335e-05 -9.119e-05 3.248e-05 3.249e-05 3.255e-05 3.282e-05 3.271e-05 3.282e-05
sig 2.676e-06 -1.147e-06 1.250e-06 -1.173e-06 -2.648e-06 -2.250e-08 -1.766e-07 -2.989e-08 1.179e-07 2.719e-07 -1.181e-07
bq1_FISH bq2_CERE bq2_CONF bq2_DAIR bq2_DRIN bq2_FRUI bq2_MEAT bq2_FISH bq3_CERE bq3_CONF bq3_DAIR
alpha_base 9.025e-08 2.288e-07 -8.208e-08 -7.983e-09 -5.607e-07 -2.289e-07 -6.503e-08 -3.323e-07 4.184e-07 4.097e-08 7.795e-08
gamma_CERE -8.423e-09 1.000e-06 1.414e-07 2.991e-08 3.301e-08 3.840e-08 5.582e-09 1.999e-07 1.567e-06 -2.322e-08 -6.687e-08
gamma_CONF -3.767e-08 -1.359e-07 2.770e-07 6.646e-09 1.762e-07 7.986e-08 2.522e-08 2.077e-07 -2.945e-07 2.939e-07 -8.790e-08
gamma_DAIR -7.646e-08 -2.886e-07 2.406e-07 4.296e-07 5.275e-07 2.403e-07 7.175e-08 5.073e-07 -6.222e-07 -6.346e-08 6.776e-07
gamma_DRIN -9.420e-07 -2.761e-06 1.033e-06 -2.164e-07 -6.109e-06 1.816e-06 4.622e-07 3.677e-06 -5.344e-06 -1.213e-06 -1.812e-06
gamma_FRUI -2.056e-08 -2.137e-07 1.876e-07 -3.641e-09 1.613e-07 -3.862e-07 2.717e-08 3.011e-07 -3.892e-07 -2.061e-08 -9.603e-08
gamma_MEAT -1.170e-08 -6.843e-08 5.867e-08 5.292e-10 6.758e-08 2.742e-08 6.323e-08 1.116e-07 -1.544e-07 -2.652e-08 -5.889e-08
gamma_FISH -1.295e-08 -5.649e-08 4.832e-08 -1.678e-08 -3.196e-08 -1.678e-08 -1.058e-08 -2.396e-07 -1.496e-07 -4.800e-08 -8.712e-08
gamma_OTHE 3.792e-08 -5.863e-07 -3.203e-07 -4.077e-07 -9.767e-08 -2.713e-07 -3.715e-07 -1.622e-07 -1.033e-06 -7.373e-07 -7.850e-07
delta_CERE -3.253e-05 -5.828e-05 -3.315e-05 -3.333e-05 -3.214e-05 -3.286e-05 -3.274e-05 -3.237e-05 -5.875e-05 -3.335e-05 -3.351e-05
delta_CONF -3.256e-05 -3.336e-05 -5.742e-05 -3.318e-05 -3.235e-05 -3.272e-05 -3.278e-05 -3.246e-05 -3.360e-05 -5.767e-05 -3.334e-05
delta_DAIR -3.262e-05 -3.357e-05 -3.314e-05 -5.599e-05 -3.218e-05 -3.293e-05 -3.284e-05 -3.242e-05 -3.385e-05 -3.333e-05 -5.631e-05
delta_DRIN -3.272e-05 -3.260e-05 -3.284e-05 -3.280e-05 -7.041e-05 -3.285e-05 -3.298e-05 -3.311e-05 -3.264e-05 -3.292e-05 -3.289e-05
delta_FRUI -3.268e-05 -3.319e-05 -3.289e-05 -3.318e-05 -3.247e-05 -5.997e-05 -3.297e-05 -3.269e-05 -3.340e-05 -3.305e-05 -3.334e-05
delta_MEAT -3.276e-05 -3.271e-05 -3.286e-05 -3.292e-05 -3.323e-05 -3.311e-05 -7.287e-05 -3.315e-05 -3.276e-05 -3.295e-05 -3.301e-05
delta_FISH -9.038e-05 -3.245e-05 -3.276e-05 -3.274e-05 -3.358e-05 -3.309e-05 -3.308e-05 -9.096e-05 -3.241e-05 -3.280e-05 -3.280e-05
bq1_CERE 5.784e-05 5.759e-05 3.302e-05 3.316e-05 3.252e-05 3.291e-05 3.263e-05 3.248e-05 5.759e-05 3.302e-05 3.316e-05
bq1_CONF 5.793e-05 3.303e-05 5.721e-05 3.301e-05 3.260e-05 3.272e-05 3.266e-05 3.250e-05 3.304e-05 5.722e-05 3.301e-05
bq1_DAIR 5.798e-05 3.316e-05 3.301e-05 5.569e-05 3.262e-05 3.301e-05 3.273e-05 3.255e-05 3.316e-05 3.301e-05 5.568e-05
bq1_DRIN 5.843e-05 3.251e-05 3.265e-05 3.262e-05 7.024e-05 3.258e-05 3.278e-05 3.281e-05 3.250e-05 3.264e-05 3.262e-05
bq1_FRUI 5.814e-05 3.289e-05 3.274e-05 3.301e-05 3.263e-05 6.002e-05 3.284e-05 3.270e-05 3.288e-05 3.273e-05 3.300e-05
bq1_MEAT 5.848e-05 3.264e-05 3.266e-05 3.274e-05 3.275e-05 3.282e-05 7.265e-05 3.282e-05 3.265e-05 3.266e-05 3.274e-05
bq1_FISH 1.6162e-04 3.249e-05 3.252e-05 3.255e-05 3.278e-05 3.266e-05 3.284e-05 9.050e-05 3.249e-05 3.252e-05 3.255e-05
bq2_CERE 3.249e-05 9.865e-05 5.650e-05 5.670e-05 5.565e-05 5.631e-05 5.582e-05 5.560e-05 5.768e-05 3.304e-05 3.318e-05
bq2_CONF 3.252e-05 5.650e-05 9.794e-05 5.647e-05 5.594e-05 5.604e-05 5.590e-05 5.569e-05 3.303e-05 5.723e-05 3.303e-05
bq2_DAIR 3.255e-05 5.670e-05 5.647e-05 9.501e-05 5.585e-05 5.649e-05 5.601e-05 5.574e-05 3.318e-05 3.303e-05 5.571e-05
bq2_DRIN 3.278e-05 5.565e-05 5.594e-05 5.585e-05 1.1711e-04 5.581e-05 5.611e-05 5.620e-05 3.246e-05 3.266e-05 3.263e-05
bq2_FRUI 3.266e-05 5.631e-05 5.604e-05 5.649e-05 5.581e-05 1.0189e-04 5.621e-05 5.596e-05 3.290e-05 3.275e-05 3.303e-05
bq2_MEAT 3.284e-05 5.582e-05 5.590e-05 5.601e-05 5.611e-05 5.621e-05 1.2404e-04 5.621e-05 3.264e-05 3.268e-05 3.275e-05
bq2_FISH 9.050e-05 5.560e-05 5.569e-05 5.574e-05 5.620e-05 5.596e-05 5.621e-05 1.5234e-04 3.246e-05 3.254e-05 3.257e-05
bq3_CERE 3.249e-05 5.768e-05 3.303e-05 3.318e-05 3.246e-05 3.290e-05 3.264e-05 3.246e-05 1.0496e-04 6.012e-05 6.030e-05
bq3_CONF 3.252e-05 3.304e-05 5.723e-05 3.303e-05 3.266e-05 3.275e-05 3.268e-05 3.254e-05 6.012e-05 1.0398e-04 6.007e-05
bq3_DAIR 3.255e-05 3.318e-05 3.303e-05 5.571e-05 3.263e-05 3.303e-05 3.275e-05 3.257e-05 6.030e-05 6.007e-05 1.0078e-04
bq3_DRIN 3.277e-05 3.247e-05 3.268e-05 3.265e-05 7.046e-05 3.268e-05 3.282e-05 3.293e-05 5.917e-05 5.958e-05 5.944e-05
bq3_FRUI 3.267e-05 3.296e-05 3.275e-05 3.303e-05 3.253e-05 5.998e-05 3.284e-05 3.266e-05 5.987e-05 5.958e-05 6.000e-05
bq3_MEAT 3.283e-05 3.264e-05 3.269e-05 3.276e-05 3.283e-05 3.286e-05 7.267e-05 3.287e-05 5.941e-05 5.952e-05 5.962e-05
bq3_FISH 9.049e-05 3.246e-05 3.255e-05 3.257e-05 3.293e-05 3.273e-05 3.287e-05 9.059e-05 5.916e-05 5.931e-05 5.932e-05
sig -9.408e-08 -2.099e-07 6.034e-08 1.413e-08 6.062e-07 2.487e-07 7.237e-08 3.118e-07 -3.597e-07 -1.700e-08 -3.793e-08
bq3_DRIN bq3_FRUI bq3_MEAT bq3_FISH sig
alpha_base -8.555e-07 3.283e-07 -1.335e-07 -4.886e-07 -2.780e-06
gamma_CERE 6.318e-08 -2.952e-07 1.645e-08 2.300e-07 1.459e-06
gamma_CONF 2.596e-07 -2.983e-07 4.098e-08 2.629e-07 1.656e-06
gamma_DAIR 7.901e-07 -5.989e-07 1.302e-07 6.673e-07 3.888e-06
gamma_DRIN -8.721e-06 -4.666e-06 1.150e-06 5.052e-06 2.853e-05
gamma_FRUI 2.476e-07 1.285e-06 5.209e-08 3.606e-07 2.256e-06
gamma_MEAT 1.034e-07 -1.584e-07 4.207e-08 1.318e-07 7.497e-07
gamma_FISH -4.563e-08 -1.728e-07 -1.546e-08 -7.809e-07 3.761e-07
gamma_OTHE -2.180e-07 -9.928e-07 -6.245e-07 -3.639e-07 2.007e-06
delta_CERE -3.197e-05 -3.346e-05 -3.279e-05 -3.234e-05 2.428e-06
delta_CONF -3.223e-05 -3.322e-05 -3.284e-05 -3.246e-05 2.007e-06
delta_DAIR -3.196e-05 -3.357e-05 -3.288e-05 -3.237e-05 2.676e-06
delta_DRIN -7.056e-05 -3.274e-05 -3.314e-05 -3.331e-05 -1.147e-06
delta_FRUI -3.244e-05 -6.070e-05 -3.306e-05 -3.274e-05 1.250e-06
delta_MEAT -3.349e-05 -3.302e-05 -7.302e-05 -3.335e-05 -1.173e-06
delta_FISH -3.403e-05 -3.271e-05 -3.328e-05 -9.119e-05 -2.648e-06
bq1_CERE 3.251e-05 3.292e-05 3.263e-05 3.248e-05 -2.250e-08
bq1_CONF 3.258e-05 3.275e-05 3.265e-05 3.249e-05 -1.766e-07
bq1_DAIR 3.261e-05 3.301e-05 3.273e-05 3.255e-05 -2.989e-08
bq1_DRIN 7.026e-05 3.256e-05 3.278e-05 3.282e-05 1.179e-07
bq1_FRUI 3.266e-05 5.994e-05 3.285e-05 3.271e-05 2.719e-07
bq1_MEAT 3.274e-05 3.284e-05 7.264e-05 3.282e-05 -1.181e-07
bq1_FISH 3.277e-05 3.267e-05 3.283e-05 9.049e-05 -9.408e-08
bq2_CERE 3.247e-05 3.296e-05 3.264e-05 3.246e-05 -2.099e-07
bq2_CONF 3.268e-05 3.275e-05 3.269e-05 3.255e-05 6.034e-08
bq2_DAIR 3.265e-05 3.303e-05 3.276e-05 3.257e-05 1.413e-08
bq2_DRIN 7.046e-05 3.253e-05 3.283e-05 3.293e-05 6.062e-07
bq2_FRUI 3.268e-05 5.998e-05 3.286e-05 3.273e-05 2.487e-07
bq2_MEAT 3.282e-05 3.284e-05 7.267e-05 3.287e-05 7.237e-08
bq2_FISH 3.293e-05 3.266e-05 3.287e-05 9.059e-05 3.118e-07
bq3_CERE 5.917e-05 5.987e-05 5.941e-05 5.916e-05 -3.597e-07
bq3_CONF 5.958e-05 5.958e-05 5.952e-05 5.931e-05 -1.700e-08
bq3_DAIR 5.944e-05 6.000e-05 5.962e-05 5.932e-05 -3.793e-08
bq3_DRIN 1.2254e-04 5.926e-05 5.975e-05 5.992e-05 9.298e-07
bq3_FRUI 5.926e-05 1.0889e-04 5.977e-05 5.951e-05 -2.482e-07
bq3_MEAT 5.975e-05 5.977e-05 1.3133e-04 5.988e-05 1.517e-07
bq3_FISH 5.992e-05 5.951e-05 5.988e-05 1.5893e-04 4.861e-07
sig 9.298e-07 -2.482e-07 1.517e-07 4.861e-07 2.694e-06
Model run by beatrice.biondi7 using Apollo 0.3.2 on R 4.3.1 for Windows.
Please acknowledge the use of Apollo by citing Hess & Palma (2019)
DOI 10.1016/j.jocm.2019.100170
www.ApolloChoiceModelling.com
Model name : Model0
Model description : MDCEV model 0
Model run at : 2024-05-29 14:50:21.020711
Estimation method : bfgs
Model diagnosis : successful convergence
Optimisation diagnosis : Maximum found
hessian properties : Negative definite
maximum eigenvalue : -82.202654
reciprocal of condition number : 2.33129e-05
Number of individuals : 8431
Number of rows in database : 315315
Number of modelled outcomes : 315315
Number of cores used : 7
Model without mixing
LL(start) : -3034986
LL at equal shares, LL(0) : NA
LL at observed shares, LL(C) : NA
LL(final) : -2320919
Rho-squared vs equal shares : Not applicable
Adj.Rho-squared vs equal shares : Not applicable
Rho-squared vs observed shares : Not applicable
Adj.Rho-squared vs observed shares : Not applicable
AIC : 4641913
BIC : 4642319
Estimated parameters : 38
Time taken (hh:mm:ss) : 00:23:38.64
pre-estimation : 00:01:11.5
estimation : 00:11:36.32
initial estimation : 00:11:9.8
estimation after rescaling : 00:00:26.53
post-estimation : 00:10:50.81
Iterations : 73
initial estimation : 70
estimation after rescaling : 3
Unconstrained optimisation.
Estimates:
Estimate s.e. t.rat.(0) p(2-sided) Rob.s.e. Rob.t.rat.(0) p(2-sided)
alpha_base -1.28910 0.003320 -388.2701 0.000000 0.009470 -136.1309 0.000000
gamma_CERE 2.95103 0.013934 211.7833 0.000000 0.030500 96.7564 0.000000
gamma_CONF 1.92304 0.009256 207.7666 0.000000 0.020599 93.3569 0.000000
gamma_DAIR 3.23798 0.017215 188.0886 0.000000 0.040265 80.4162 0.000000
gamma_DRIN 20.23657 0.108091 187.2179 0.000000 0.298353 67.8277 0.000000
gamma_FRUI 3.86262 0.018248 211.6731 0.000000 0.043101 89.6188 0.000000
gamma_MEAT 1.26877 0.006216 204.1297 0.000000 0.013814 91.8491 0.000000
gamma_FISH 1.67259 0.008947 186.9451 0.000000 0.016000 104.5382 0.000000
gamma_OTHE 1.43692 0.007084 202.8402 0.000000 0.015239 94.2943 0.000000
delta_CERE -0.07507 0.008200 -9.1557 0.000000 0.012587 -5.9644 2.456e-09
delta_CONF 0.68778 0.008165 84.2384 0.000000 0.012900 53.3169 0.000000
delta_DAIR 0.57293 0.008327 68.8029 0.000000 0.012897 44.4223 0.000000
delta_DRIN -2.74319 0.008700 -315.3219 0.000000 0.013826 -198.4047 0.000000
delta_FRUI -0.60260 0.008162 -73.8274 0.000000 0.013450 -44.8032 0.000000
delta_MEAT -0.02793 0.008825 -3.1653 0.001549 0.014421 -1.9370 0.052747
delta_FISH -0.74812 0.009850 -75.9507 0.000000 0.015712 -47.6140 0.000000
delta_OTHE 0.00000 NA NA NA NA NA NA
bq1_CERE -0.02803 0.010146 -2.7622 0.005742 0.011404 -2.4575 0.013991
bq1_CONF -0.11893 0.010125 -11.7464 0.000000 0.011310 -10.5157 0.000000
bq1_DAIR -0.02521 0.009977 -2.5271 0.011501 0.010656 -2.3661 0.017974
bq1_DRIN 0.01097 0.011158 0.9830 0.325627 0.012136 0.9037 0.366145
bq1_FRUI 0.09899 0.010337 9.5763 0.000000 0.011893 8.3228 0.000000
bq1_MEAT -0.07597 0.011415 -6.6552 2.829e-11 0.012523 -6.0668 1.305e-09
bq1_FISH -0.06647 0.012713 -5.2288 1.706e-07 0.014362 -4.6285 3.683e-06
bq2_CERE -0.04624 0.009932 -4.6559 3.225e-06 0.010893 -4.2454 2.182e-05
bq2_CONF 0.03388 0.009897 3.4235 6.1819e-04 0.010771 3.1456 0.001657
bq2_DAIR 0.06972 0.009747 7.1534 8.469e-13 0.010080 6.9173 4.602e-12
bq2_DRIN 0.30234 0.010822 27.9384 0.000000 0.011630 25.9972 0.000000
bq2_FRUI 0.23251 0.010094 23.0345 0.000000 0.011504 20.2105 0.000000
bq2_MEAT 0.07717 0.011137 6.9292 4.233e-12 0.011797 6.5416 6.085e-11
bq2_FISH 0.13142 0.012343 10.6474 0.000000 0.013874 9.4719 0.000000
bq3_CERE -0.03021 0.010245 -2.9485 0.003193 0.011265 -2.6815 0.007329
bq3_CONF 0.07235 0.010197 7.0951 1.293e-12 0.011144 6.4921 8.463e-11
bq3_DAIR 0.12604 0.010039 12.5552 0.000000 0.010393 12.1269 0.000000
bq3_DRIN 0.51187 0.011070 46.2395 0.000000 0.011926 42.9197 0.000000
bq3_FRUI 0.09781 0.010435 9.3729 0.000000 0.011488 8.5142 0.000000
bq3_MEAT 0.18348 0.011460 16.0103 0.000000 0.011943 15.3630 0.000000
bq3_FISH 0.32302 0.012607 25.6225 0.000000 0.013840 23.3389 0.000000
bq1_OTHE 0.00000 NA NA NA NA NA NA
bq2_OTHE 0.00000 NA NA NA NA NA NA
bq3_OTHE 0.00000 NA NA NA NA NA NA
sig 1.04108 0.001641 634.2739 0.000000 0.004714 220.8446 0.000000
Overview of choices for model component :
CERE CONF DAIR DRIN FRUI MEAT FISH OTHE
Times available 315315.00 315315.00 315315.0 315315.00 315315.00 315315.00 315315.00 315315.00
Observations in which chosen 241267.00 240825.00 265740.0 165904.00 219251.00 139419.00 101001.00 177336.00
Average consumption when available 1.65 1.09 2.7 6.93 1.71 0.26 0.21 0.57
Average consumption when chosen 2.15 1.43 3.2 13.17 2.46 0.59 0.65 1.01
Classical covariance matrix:
alpha_base gamma_CERE gamma_CONF gamma_DAIR gamma_DRIN gamma_FRUI gamma_MEAT gamma_FISH gamma_OTHE delta_CERE delta_CONF
alpha_base 1.102e-05 -3.492e-05 -2.375e-05 -4.637e-05 -2.7117e-04 -4.503e-05 -1.343e-05 -1.583e-05 -1.810e-05 -2.220e-06 -1.674e-06
gamma_CERE -3.492e-05 1.9416e-04 9.153e-05 1.7632e-04 0.001004 1.7667e-04 5.219e-05 6.311e-05 6.684e-05 -1.577e-05 -8.822e-07
gamma_CONF -2.375e-05 9.153e-05 8.567e-05 1.1706e-04 6.6849e-04 1.1680e-04 3.459e-05 4.163e-05 4.455e-05 4.021e-07 -1.097e-05
gamma_DAIR -4.637e-05 1.7632e-04 1.1706e-04 2.9636e-04 0.001293 2.2535e-04 6.659e-05 8.012e-05 8.612e-05 1.366e-06 4.585e-07
gamma_DRIN -2.7117e-04 0.001004 6.6849e-04 0.001293 0.011684 0.001285 3.8132e-04 4.5741e-04 4.9502e-04 1.675e-05 9.486e-06
gamma_FRUI -4.503e-05 1.7667e-04 1.1680e-04 2.2535e-04 0.001285 3.3299e-04 6.676e-05 8.050e-05 8.559e-05 -7.987e-09 -6.135e-07
gamma_MEAT -1.343e-05 5.219e-05 3.459e-05 6.659e-05 3.8132e-04 6.676e-05 3.863e-05 2.379e-05 2.537e-05 1.569e-07 -9.326e-08
gamma_FISH -1.583e-05 6.311e-05 4.163e-05 8.012e-05 4.5741e-04 8.050e-05 2.379e-05 8.005e-05 3.041e-05 -2.411e-07 -4.370e-07
gamma_OTHE -1.810e-05 6.684e-05 4.455e-05 8.612e-05 4.9502e-04 8.559e-05 2.537e-05 3.041e-05 5.018e-05 8.344e-06 7.873e-06
delta_CERE -2.220e-06 -1.577e-05 4.021e-07 1.366e-06 1.675e-05 -7.987e-09 1.569e-07 -2.411e-07 8.344e-06 6.724e-05 3.801e-05
delta_CONF -1.674e-06 -8.822e-07 -1.097e-05 4.585e-07 9.486e-06 -6.135e-07 -9.326e-08 -4.370e-07 7.873e-06 3.801e-05 6.666e-05
delta_DAIR -8.805e-07 -6.800e-06 -3.701e-06 -2.909e-05 -2.743e-05 -8.112e-06 -2.194e-06 -3.111e-06 5.436e-06 3.890e-05 3.828e-05
delta_DRIN 1.505e-06 -1.699e-06 -1.432e-06 -3.104e-06 -1.1135e-04 -2.352e-06 -7.612e-07 -7.148e-07 5.816e-06 3.447e-05 3.479e-05
delta_FRUI -1.202e-06 7.737e-08 4.500e-07 9.890e-07 1.047e-05 -1.758e-05 1.513e-07 -5.798e-09 7.917e-06 3.715e-05 3.673e-05
delta_MEAT 8.599e-07 9.414e-07 2.998e-07 2.517e-07 -1.631e-06 8.981e-07 -5.351e-06 5.162e-07 7.078e-06 3.455e-05 3.478e-05
delta_FISH 2.269e-06 7.133e-07 -2.134e-07 -1.176e-06 -1.343e-05 4.630e-07 3.427e-08 -5.851e-06 6.245e-06 3.304e-05 3.350e-05
bq1_CERE 5.157e-09 -2.275e-07 3.162e-08 7.210e-08 -3.640e-08 6.932e-08 2.010e-08 2.658e-08 1.049e-07 -5.750e-05 -3.300e-05
bq1_CONF 1.737e-07 -6.035e-08 4.294e-08 -1.837e-07 -1.907e-06 -9.265e-08 -3.687e-08 -1.333e-08 -1.857e-08 -3.314e-05 -5.737e-05
bq1_DAIR 1.142e-08 5.279e-08 4.128e-08 -2.236e-07 -3.069e-08 5.777e-08 2.627e-08 2.712e-08 1.111e-07 -3.314e-05 -3.299e-05
bq1_DRIN -9.028e-08 -6.340e-08 -9.936e-09 8.866e-09 -6.249e-06 -5.720e-08 -1.771e-08 -4.014e-08 1.254e-07 -3.237e-05 -3.251e-05
bq1_FRUI -3.499e-07 4.007e-07 3.443e-07 7.152e-07 4.693e-06 -8.662e-07 1.792e-07 1.633e-07 4.229e-07 -3.263e-05 -3.250e-05
bq1_MEAT 1.116e-07 -1.806e-08 -4.136e-08 -1.118e-07 -1.241e-06 -1.598e-08 3.194e-08 -1.496e-08 1.982e-08 -3.270e-05 -3.272e-05
bq1_FISH 9.025e-08 -8.423e-09 -3.767e-08 -7.646e-08 -9.420e-07 -2.056e-08 -1.170e-08 -1.295e-08 3.792e-08 -3.253e-05 -3.256e-05
bq2_CERE 2.288e-07 1.000e-06 -1.359e-07 -2.886e-07 -2.761e-06 -2.137e-07 -6.843e-08 -5.649e-08 -5.863e-07 -5.828e-05 -3.336e-05
bq2_CONF -8.208e-08 1.414e-07 2.770e-07 2.406e-07 1.033e-06 1.876e-07 5.867e-08 4.832e-08 -3.203e-07 -3.315e-05 -5.742e-05
bq2_DAIR -7.983e-09 2.991e-08 6.646e-09 4.296e-07 -2.164e-07 -3.641e-09 5.292e-10 -1.678e-08 -4.077e-07 -3.333e-05 -3.318e-05
bq2_DRIN -5.607e-07 3.301e-08 1.762e-07 5.275e-07 -6.109e-06 1.613e-07 6.758e-08 -3.196e-08 -9.767e-08 -3.214e-05 -3.235e-05
bq2_FRUI -2.289e-07 3.840e-08 7.986e-08 2.403e-07 1.816e-06 -3.862e-07 2.742e-08 -1.678e-08 -2.713e-07 -3.286e-05 -3.272e-05
bq2_MEAT -6.503e-08 5.582e-09 2.522e-08 7.175e-08 4.622e-07 2.717e-08 6.323e-08 -1.058e-08 -3.715e-07 -3.274e-05 -3.278e-05
bq2_FISH -3.323e-07 1.999e-07 2.077e-07 5.073e-07 3.677e-06 3.011e-07 1.116e-07 -2.396e-07 -1.622e-07 -3.237e-05 -3.246e-05
bq3_CERE 4.184e-07 1.567e-06 -2.945e-07 -6.222e-07 -5.344e-06 -3.892e-07 -1.544e-07 -1.496e-07 -1.033e-06 -5.875e-05 -3.360e-05
bq3_CONF 4.097e-08 -2.322e-08 2.939e-07 -6.346e-08 -1.213e-06 -2.061e-08 -2.652e-08 -4.800e-08 -7.373e-07 -3.335e-05 -5.767e-05
bq3_DAIR 7.795e-08 -6.687e-08 -8.790e-08 6.776e-07 -1.812e-06 -9.603e-08 -5.889e-08 -8.712e-08 -7.850e-07 -3.351e-05 -3.334e-05
bq3_DRIN -8.555e-07 6.318e-08 2.596e-07 7.901e-07 -8.721e-06 2.476e-07 1.034e-07 -4.563e-08 -2.180e-07 -3.197e-05 -3.223e-05
bq3_FRUI 3.283e-07 -2.952e-07 -2.983e-07 -5.989e-07 -4.666e-06 1.285e-06 -1.584e-07 -1.728e-07 -9.928e-07 -3.346e-05 -3.322e-05
bq3_MEAT -1.335e-07 1.645e-08 4.098e-08 1.302e-07 1.150e-06 5.209e-08 4.207e-08 -1.546e-08 -6.245e-07 -3.279e-05 -3.284e-05
bq3_FISH -4.886e-07 2.300e-07 2.629e-07 6.673e-07 5.052e-06 3.606e-07 1.318e-07 -7.809e-07 -3.639e-07 -3.234e-05 -3.246e-05
sig -2.780e-06 1.459e-06 1.656e-06 3.888e-06 2.853e-05 2.256e-06 7.497e-07 3.761e-07 2.007e-06 2.428e-06 2.007e-06
delta_DAIR delta_DRIN delta_FRUI delta_MEAT delta_FISH bq1_CERE bq1_CONF bq1_DAIR bq1_DRIN bq1_FRUI bq1_MEAT
alpha_base -8.805e-07 1.505e-06 -1.202e-06 8.599e-07 2.269e-06 5.157e-09 1.737e-07 1.142e-08 -9.028e-08 -3.499e-07 1.116e-07
gamma_CERE -6.800e-06 -1.699e-06 7.737e-08 9.414e-07 7.133e-07 -2.275e-07 -6.035e-08 5.279e-08 -6.340e-08 4.007e-07 -1.806e-08
gamma_CONF -3.701e-06 -1.432e-06 4.500e-07 2.998e-07 -2.134e-07 3.162e-08 4.294e-08 4.128e-08 -9.936e-09 3.443e-07 -4.136e-08
gamma_DAIR -2.909e-05 -3.104e-06 9.890e-07 2.517e-07 -1.176e-06 7.210e-08 -1.837e-07 -2.236e-07 8.866e-09 7.152e-07 -1.118e-07
gamma_DRIN -2.743e-05 -1.1135e-04 1.047e-05 -1.631e-06 -1.343e-05 -3.640e-08 -1.907e-06 -3.069e-08 -6.249e-06 4.693e-06 -1.241e-06
gamma_FRUI -8.112e-06 -2.352e-06 -1.758e-05 8.981e-07 4.630e-07 6.932e-08 -9.265e-08 5.777e-08 -5.720e-08 -8.662e-07 -1.598e-08
gamma_MEAT -2.194e-06 -7.612e-07 1.513e-07 -5.351e-06 3.427e-08 2.010e-08 -3.687e-08 2.627e-08 -1.771e-08 1.792e-07 3.194e-08
gamma_FISH -3.111e-06 -7.148e-07 -5.798e-09 5.162e-07 -5.851e-06 2.658e-08 -1.333e-08 2.712e-08 -4.014e-08 1.633e-07 -1.496e-08
gamma_OTHE 5.436e-06 5.816e-06 7.917e-06 7.078e-06 6.245e-06 1.049e-07 -1.857e-08 1.111e-07 1.254e-07 4.229e-07 1.982e-08
delta_CERE 3.890e-05 3.447e-05 3.715e-05 3.455e-05 3.304e-05 -5.750e-05 -3.314e-05 -3.314e-05 -3.237e-05 -3.263e-05 -3.270e-05
delta_CONF 3.828e-05 3.479e-05 3.673e-05 3.478e-05 3.350e-05 -3.300e-05 -5.737e-05 -3.299e-05 -3.251e-05 -3.250e-05 -3.272e-05
delta_DAIR 6.934e-05 3.453e-05 3.743e-05 3.449e-05 3.277e-05 -3.315e-05 -3.316e-05 -5.559e-05 -3.246e-05 -3.271e-05 -3.282e-05
delta_DRIN 3.453e-05 7.568e-05 3.504e-05 3.632e-05 3.698e-05 -3.247e-05 -3.252e-05 -3.257e-05 -7.006e-05 -3.265e-05 -3.269e-05
delta_FRUI 3.743e-05 3.504e-05 6.662e-05 3.532e-05 3.444e-05 -3.289e-05 -3.278e-05 -3.298e-05 -3.248e-05 -5.958e-05 -3.286e-05
delta_MEAT 3.449e-05 3.632e-05 3.532e-05 7.788e-05 3.707e-05 -3.259e-05 -3.255e-05 -3.269e-05 -3.279e-05 -3.291e-05 -7.258e-05
delta_FISH 3.277e-05 3.698e-05 3.444e-05 3.707e-05 9.702e-05 -3.243e-05 -3.231e-05 -3.248e-05 -3.288e-05 -3.290e-05 -3.268e-05
bq1_CERE -3.315e-05 -3.247e-05 -3.289e-05 -3.259e-05 -3.243e-05 1.0295e-04 5.881e-05 5.905e-05 5.790e-05 5.861e-05 5.808e-05
bq1_CONF -3.316e-05 -3.252e-05 -3.278e-05 -3.255e-05 -3.231e-05 5.881e-05 1.0252e-04 5.877e-05 5.814e-05 5.827e-05 5.814e-05
bq1_DAIR -5.559e-05 -3.257e-05 -3.298e-05 -3.269e-05 -3.248e-05 5.905e-05 5.877e-05 9.955e-05 5.808e-05 5.881e-05 5.825e-05
bq1_DRIN -3.246e-05 -7.006e-05 -3.248e-05 -3.279e-05 -3.288e-05 5.790e-05 5.814e-05 5.808e-05 1.2449e-04 5.798e-05 5.833e-05
bq1_FRUI -3.271e-05 -3.265e-05 -5.958e-05 -3.291e-05 -3.290e-05 5.861e-05 5.827e-05 5.881e-05 5.798e-05 1.0685e-04 5.839e-05
bq1_MEAT -3.282e-05 -3.269e-05 -3.286e-05 -7.258e-05 -3.268e-05 5.808e-05 5.814e-05 5.825e-05 5.833e-05 5.839e-05 1.3031e-04
bq1_FISH -3.262e-05 -3.272e-05 -3.268e-05 -3.276e-05 -9.038e-05 5.784e-05 5.793e-05 5.798e-05 5.843e-05 5.814e-05 5.848e-05
bq2_CERE -3.357e-05 -3.260e-05 -3.319e-05 -3.271e-05 -3.245e-05 5.759e-05 3.303e-05 3.316e-05 3.251e-05 3.289e-05 3.264e-05
bq2_CONF -3.314e-05 -3.284e-05 -3.289e-05 -3.286e-05 -3.276e-05 3.302e-05 5.721e-05 3.301e-05 3.265e-05 3.274e-05 3.266e-05
bq2_DAIR -5.599e-05 -3.280e-05 -3.318e-05 -3.292e-05 -3.274e-05 3.316e-05 3.301e-05 5.569e-05 3.262e-05 3.301e-05 3.274e-05
bq2_DRIN -3.218e-05 -7.041e-05 -3.247e-05 -3.323e-05 -3.358e-05 3.252e-05 3.260e-05 3.262e-05 7.024e-05 3.263e-05 3.275e-05
bq2_FRUI -3.293e-05 -3.285e-05 -5.997e-05 -3.311e-05 -3.309e-05 3.291e-05 3.272e-05 3.301e-05 3.258e-05 6.002e-05 3.282e-05
bq2_MEAT -3.284e-05 -3.298e-05 -3.297e-05 -7.287e-05 -3.308e-05 3.263e-05 3.266e-05 3.273e-05 3.278e-05 3.284e-05 7.265e-05
bq2_FISH -3.242e-05 -3.311e-05 -3.269e-05 -3.315e-05 -9.096e-05 3.248e-05 3.250e-05 3.255e-05 3.281e-05 3.270e-05 3.282e-05
bq3_CERE -3.385e-05 -3.264e-05 -3.340e-05 -3.276e-05 -3.241e-05 5.759e-05 3.304e-05 3.316e-05 3.250e-05 3.288e-05 3.265e-05
bq3_CONF -3.333e-05 -3.292e-05 -3.305e-05 -3.295e-05 -3.280e-05 3.302e-05 5.722e-05 3.301e-05 3.264e-05 3.273e-05 3.266e-05
bq3_DAIR -5.631e-05 -3.289e-05 -3.334e-05 -3.301e-05 -3.280e-05 3.316e-05 3.301e-05 5.568e-05 3.262e-05 3.300e-05 3.274e-05
bq3_DRIN -3.196e-05 -7.056e-05 -3.244e-05 -3.349e-05 -3.403e-05 3.251e-05 3.258e-05 3.261e-05 7.026e-05 3.266e-05 3.274e-05
bq3_FRUI -3.357e-05 -3.274e-05 -6.070e-05 -3.302e-05 -3.271e-05 3.292e-05 3.275e-05 3.301e-05 3.256e-05 5.994e-05 3.284e-05
bq3_MEAT -3.288e-05 -3.314e-05 -3.306e-05 -7.302e-05 -3.328e-05 3.263e-05 3.265e-05 3.273e-05 3.278e-05 3.285e-05 7.264e-05
bq3_FISH -3.237e-05 -3.331e-05 -3.274e-05 -3.335e-05 -9.119e-05 3.248e-05 3.249e-05 3.255e-05 3.282e-05 3.271e-05 3.282e-05
sig 2.676e-06 -1.147e-06 1.250e-06 -1.173e-06 -2.648e-06 -2.250e-08 -1.766e-07 -2.989e-08 1.179e-07 2.719e-07 -1.181e-07
bq1_FISH bq2_CERE bq2_CONF bq2_DAIR bq2_DRIN bq2_FRUI bq2_MEAT bq2_FISH bq3_CERE bq3_CONF bq3_DAIR
alpha_base 9.025e-08 2.288e-07 -8.208e-08 -7.983e-09 -5.607e-07 -2.289e-07 -6.503e-08 -3.323e-07 4.184e-07 4.097e-08 7.795e-08
gamma_CERE -8.423e-09 1.000e-06 1.414e-07 2.991e-08 3.301e-08 3.840e-08 5.582e-09 1.999e-07 1.567e-06 -2.322e-08 -6.687e-08
gamma_CONF -3.767e-08 -1.359e-07 2.770e-07 6.646e-09 1.762e-07 7.986e-08 2.522e-08 2.077e-07 -2.945e-07 2.939e-07 -8.790e-08
gamma_DAIR -7.646e-08 -2.886e-07 2.406e-07 4.296e-07 5.275e-07 2.403e-07 7.175e-08 5.073e-07 -6.222e-07 -6.346e-08 6.776e-07
gamma_DRIN -9.420e-07 -2.761e-06 1.033e-06 -2.164e-07 -6.109e-06 1.816e-06 4.622e-07 3.677e-06 -5.344e-06 -1.213e-06 -1.812e-06
gamma_FRUI -2.056e-08 -2.137e-07 1.876e-07 -3.641e-09 1.613e-07 -3.862e-07 2.717e-08 3.011e-07 -3.892e-07 -2.061e-08 -9.603e-08
gamma_MEAT -1.170e-08 -6.843e-08 5.867e-08 5.292e-10 6.758e-08 2.742e-08 6.323e-08 1.116e-07 -1.544e-07 -2.652e-08 -5.889e-08
gamma_FISH -1.295e-08 -5.649e-08 4.832e-08 -1.678e-08 -3.196e-08 -1.678e-08 -1.058e-08 -2.396e-07 -1.496e-07 -4.800e-08 -8.712e-08
gamma_OTHE 3.792e-08 -5.863e-07 -3.203e-07 -4.077e-07 -9.767e-08 -2.713e-07 -3.715e-07 -1.622e-07 -1.033e-06 -7.373e-07 -7.850e-07
delta_CERE -3.253e-05 -5.828e-05 -3.315e-05 -3.333e-05 -3.214e-05 -3.286e-05 -3.274e-05 -3.237e-05 -5.875e-05 -3.335e-05 -3.351e-05
delta_CONF -3.256e-05 -3.336e-05 -5.742e-05 -3.318e-05 -3.235e-05 -3.272e-05 -3.278e-05 -3.246e-05 -3.360e-05 -5.767e-05 -3.334e-05
delta_DAIR -3.262e-05 -3.357e-05 -3.314e-05 -5.599e-05 -3.218e-05 -3.293e-05 -3.284e-05 -3.242e-05 -3.385e-05 -3.333e-05 -5.631e-05
delta_DRIN -3.272e-05 -3.260e-05 -3.284e-05 -3.280e-05 -7.041e-05 -3.285e-05 -3.298e-05 -3.311e-05 -3.264e-05 -3.292e-05 -3.289e-05
delta_FRUI -3.268e-05 -3.319e-05 -3.289e-05 -3.318e-05 -3.247e-05 -5.997e-05 -3.297e-05 -3.269e-05 -3.340e-05 -3.305e-05 -3.334e-05
delta_MEAT -3.276e-05 -3.271e-05 -3.286e-05 -3.292e-05 -3.323e-05 -3.311e-05 -7.287e-05 -3.315e-05 -3.276e-05 -3.295e-05 -3.301e-05
delta_FISH -9.038e-05 -3.245e-05 -3.276e-05 -3.274e-05 -3.358e-05 -3.309e-05 -3.308e-05 -9.096e-05 -3.241e-05 -3.280e-05 -3.280e-05
bq1_CERE 5.784e-05 5.759e-05 3.302e-05 3.316e-05 3.252e-05 3.291e-05 3.263e-05 3.248e-05 5.759e-05 3.302e-05 3.316e-05
bq1_CONF 5.793e-05 3.303e-05 5.721e-05 3.301e-05 3.260e-05 3.272e-05 3.266e-05 3.250e-05 3.304e-05 5.722e-05 3.301e-05
bq1_DAIR 5.798e-05 3.316e-05 3.301e-05 5.569e-05 3.262e-05 3.301e-05 3.273e-05 3.255e-05 3.316e-05 3.301e-05 5.568e-05
bq1_DRIN 5.843e-05 3.251e-05 3.265e-05 3.262e-05 7.024e-05 3.258e-05 3.278e-05 3.281e-05 3.250e-05 3.264e-05 3.262e-05
bq1_FRUI 5.814e-05 3.289e-05 3.274e-05 3.301e-05 3.263e-05 6.002e-05 3.284e-05 3.270e-05 3.288e-05 3.273e-05 3.300e-05
bq1_MEAT 5.848e-05 3.264e-05 3.266e-05 3.274e-05 3.275e-05 3.282e-05 7.265e-05 3.282e-05 3.265e-05 3.266e-05 3.274e-05
bq1_FISH 1.6162e-04 3.249e-05 3.252e-05 3.255e-05 3.278e-05 3.266e-05 3.284e-05 9.050e-05 3.249e-05 3.252e-05 3.255e-05
bq2_CERE 3.249e-05 9.865e-05 5.650e-05 5.670e-05 5.565e-05 5.631e-05 5.582e-05 5.560e-05 5.768e-05 3.304e-05 3.318e-05
bq2_CONF 3.252e-05 5.650e-05 9.794e-05 5.647e-05 5.594e-05 5.604e-05 5.590e-05 5.569e-05 3.303e-05 5.723e-05 3.303e-05
bq2_DAIR 3.255e-05 5.670e-05 5.647e-05 9.501e-05 5.585e-05 5.649e-05 5.601e-05 5.574e-05 3.318e-05 3.303e-05 5.571e-05
bq2_DRIN 3.278e-05 5.565e-05 5.594e-05 5.585e-05 1.1711e-04 5.581e-05 5.611e-05 5.620e-05 3.246e-05 3.266e-05 3.263e-05
bq2_FRUI 3.266e-05 5.631e-05 5.604e-05 5.649e-05 5.581e-05 1.0189e-04 5.621e-05 5.596e-05 3.290e-05 3.275e-05 3.303e-05
bq2_MEAT 3.284e-05 5.582e-05 5.590e-05 5.601e-05 5.611e-05 5.621e-05 1.2404e-04 5.621e-05 3.264e-05 3.268e-05 3.275e-05
bq2_FISH 9.050e-05 5.560e-05 5.569e-05 5.574e-05 5.620e-05 5.596e-05 5.621e-05 1.5234e-04 3.246e-05 3.254e-05 3.257e-05
bq3_CERE 3.249e-05 5.768e-05 3.303e-05 3.318e-05 3.246e-05 3.290e-05 3.264e-05 3.246e-05 1.0496e-04 6.012e-05 6.030e-05
bq3_CONF 3.252e-05 3.304e-05 5.723e-05 3.303e-05 3.266e-05 3.275e-05 3.268e-05 3.254e-05 6.012e-05 1.0398e-04 6.007e-05
bq3_DAIR 3.255e-05 3.318e-05 3.303e-05 5.571e-05 3.263e-05 3.303e-05 3.275e-05 3.257e-05 6.030e-05 6.007e-05 1.0078e-04
bq3_DRIN 3.277e-05 3.247e-05 3.268e-05 3.265e-05 7.046e-05 3.268e-05 3.282e-05 3.293e-05 5.917e-05 5.958e-05 5.944e-05
bq3_FRUI 3.267e-05 3.296e-05 3.275e-05 3.303e-05 3.253e-05 5.998e-05 3.284e-05 3.266e-05 5.987e-05 5.958e-05 6.000e-05
bq3_MEAT 3.283e-05 3.264e-05 3.269e-05 3.276e-05 3.283e-05 3.286e-05 7.267e-05 3.287e-05 5.941e-05 5.952e-05 5.962e-05
bq3_FISH 9.049e-05 3.246e-05 3.255e-05 3.257e-05 3.293e-05 3.273e-05 3.287e-05 9.059e-05 5.916e-05 5.931e-05 5.932e-05
sig -9.408e-08 -2.099e-07 6.034e-08 1.413e-08 6.062e-07 2.487e-07 7.237e-08 3.118e-07 -3.597e-07 -1.700e-08 -3.793e-08
bq3_DRIN bq3_FRUI bq3_MEAT bq3_FISH sig
alpha_base -8.555e-07 3.283e-07 -1.335e-07 -4.886e-07 -2.780e-06
gamma_CERE 6.318e-08 -2.952e-07 1.645e-08 2.300e-07 1.459e-06
gamma_CONF 2.596e-07 -2.983e-07 4.098e-08 2.629e-07 1.656e-06
gamma_DAIR 7.901e-07 -5.989e-07 1.302e-07 6.673e-07 3.888e-06
gamma_DRIN -8.721e-06 -4.666e-06 1.150e-06 5.052e-06 2.853e-05
gamma_FRUI 2.476e-07 1.285e-06 5.209e-08 3.606e-07 2.256e-06
gamma_MEAT 1.034e-07 -1.584e-07 4.207e-08 1.318e-07 7.497e-07
gamma_FISH -4.563e-08 -1.728e-07 -1.546e-08 -7.809e-07 3.761e-07
gamma_OTHE -2.180e-07 -9.928e-07 -6.245e-07 -3.639e-07 2.007e-06
delta_CERE -3.197e-05 -3.346e-05 -3.279e-05 -3.234e-05 2.428e-06
delta_CONF -3.223e-05 -3.322e-05 -3.284e-05 -3.246e-05 2.007e-06
delta_DAIR -3.196e-05 -3.357e-05 -3.288e-05 -3.237e-05 2.676e-06
delta_DRIN -7.056e-05 -3.274e-05 -3.314e-05 -3.331e-05 -1.147e-06
delta_FRUI -3.244e-05 -6.070e-05 -3.306e-05 -3.274e-05 1.250e-06
delta_MEAT -3.349e-05 -3.302e-05 -7.302e-05 -3.335e-05 -1.173e-06
delta_FISH -3.403e-05 -3.271e-05 -3.328e-05 -9.119e-05 -2.648e-06
bq1_CERE 3.251e-05 3.292e-05 3.263e-05 3.248e-05 -2.250e-08
bq1_CONF 3.258e-05 3.275e-05 3.265e-05 3.249e-05 -1.766e-07
bq1_DAIR 3.261e-05 3.301e-05 3.273e-05 3.255e-05 -2.989e-08
bq1_DRIN 7.026e-05 3.256e-05 3.278e-05 3.282e-05 1.179e-07
bq1_FRUI 3.266e-05 5.994e-05 3.285e-05 3.271e-05 2.719e-07
bq1_MEAT 3.274e-05 3.284e-05 7.264e-05 3.282e-05 -1.181e-07
bq1_FISH 3.277e-05 3.267e-05 3.283e-05 9.049e-05 -9.408e-08
bq2_CERE 3.247e-05 3.296e-05 3.264e-05 3.246e-05 -2.099e-07
bq2_CONF 3.268e-05 3.275e-05 3.269e-05 3.255e-05 6.034e-08
bq2_DAIR 3.265e-05 3.303e-05 3.276e-05 3.257e-05 1.413e-08
bq2_DRIN 7.046e-05 3.253e-05 3.283e-05 3.293e-05 6.062e-07
bq2_FRUI 3.268e-05 5.998e-05 3.286e-05 3.273e-05 2.487e-07
bq2_MEAT 3.282e-05 3.284e-05 7.267e-05 3.287e-05 7.237e-08
bq2_FISH 3.293e-05 3.266e-05 3.287e-05 9.059e-05 3.118e-07
bq3_CERE 5.917e-05 5.987e-05 5.941e-05 5.916e-05 -3.597e-07
bq3_CONF 5.958e-05 5.958e-05 5.952e-05 5.931e-05 -1.700e-08
bq3_DAIR 5.944e-05 6.000e-05 5.962e-05 5.932e-05 -3.793e-08
bq3_DRIN 1.2254e-04 5.926e-05 5.975e-05 5.992e-05 9.298e-07
bq3_FRUI 5.926e-05 1.0889e-04 5.977e-05 5.951e-05 -2.482e-07
bq3_MEAT 5.975e-05 5.977e-05 1.3133e-04 5.988e-05 1.517e-07
bq3_FISH 5.992e-05 5.951e-05 5.988e-05 1.5893e-04 4.861e-07
sig 9.298e-07 -2.482e-07 1.517e-07 4.861e-07 2.694e-06
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stephanehess
- Site Admin
- Posts: 1085
- Joined: 24 Apr 2020, 16:29
Re: Function evaluation limit exceeded.
could you try running your mixed model but with sig fixed to 1?