Model run using Apollo for R, version 0.2.3 on Linux by david www.ApolloChoiceModelling.com Model name : hybrid_model_bayesian Model description : Hybrid choice model on drug choice data, bayesian estimation Model run at : 2021-02-08 11:17:11 Estimation method : Hierarchical Bayes Number of individuals : 1000 Number of rows in database : 10000 Number of cores used : 1 Estimation carried out using RSGHB Burn-in iterations : 125000 Post burn-in iterations : 125000 LL(start) : -19973.99 LL(0) : NA Average post. LL post burn-in : -15962.58 Average post. RLH post burn-in : 0.2102 Time taken (hh:mm:ss) : 02:22:59.88 pre-estimation : 00:00:1.26 estimation : 02:22:56.35 post-estimation : 00:00:2.27 Chain convergence report (Geweke test) Fixed (non random) parameters (t-test value for Geweke test) gamma_Artemis_reg_user gamma_Artemis_university gamma_Artemis_age_50 7.9964 8.7142 -5.3898 gamma_Novum_reg_user gamma_Novum_university gamma_Novum_age_50 4.2924 4.6906 3.3219 b_brand_BestValue b_brand_Supermarket b_country_CH -0.8360 -3.0284 0.7649 b_country_DK b_country_IND b_country_RUS 0.9150 -0.5076 -0.0272 b_country_BRA b_char_fast b_char_double -0.2334 -0.3770 -0.6728 b_risk b_price gamma_LV_reg_user 2.4516 -0.4176 0.1186 gamma_LV_university gamma_LV_age_50 lambda -9.4469 -1.6660 -0.1276 zeta_quality zeta_ingredient zeta_patent 0.0034 1.2543 1.3860 zeta_dominance tau_quality_1 tau_quality_2 0.5027 -2.3877 1.0962 tau_quality_3 tau_quality_4 tau_ingredients_1 -0.4773 0.6357 2.0863 tau_ingredients_2 tau_ingredients_3 tau_ingredients_4 6.6045 2.4661 0.8633 tau_patent_1 tau_patent_2 tau_patent_3 -6.4307 -3.9918 0.5197 tau_patent_4 tau_dominance_1 tau_dominance_2 0.2297 -2.6844 -1.4970 tau_dominance_3 tau_dominance_4 0.2175 -1.6124 Random parameters (t-test value for Geweke test) b_brand_Artemis b_brand_Novum eta -0.7898 -2.5795 NaN Covariances of random parameters (t-test value for Geweke test) b_brand_Artemis_b_brand_Artemis b_brand_Novum_b_brand_Artemis -1.2726 NaN b_brand_Novum_b_brand_Novum eta_b_brand_Artemis -1.5603 NaN eta_b_brand_Novum eta_eta NaN NaN Summary of parameter chains Non-random coefficients These outputs have had the scaling used in estimation applied to them Mean SD gamma_Artemis_reg_user 0.0003 0.0209 gamma_Artemis_university -0.0578 0.0289 gamma_Artemis_age_50 0.0063 0.0167 gamma_Novum_reg_user 0.0261 0.0271 gamma_Novum_university -0.0415 0.0304 gamma_Novum_age_50 -0.0322 0.0251 b_brand_BestValue 0.6798 0.0536 b_brand_Supermarket 0.9962 0.0581 b_brand_PainAway 0.0000 NA b_country_CH 0.6907 0.0375 b_country_DK 0.3516 0.0363 b_country_USA 0.0000 NA b_country_IND -0.3155 0.0528 b_country_RUS -0.9153 0.0564 b_country_BRA -0.6767 0.0568 b_char_standard 0.0000 NA b_char_fast 0.7800 0.0319 b_char_double 1.2295 0.0370 b_risk -0.0016 0.0001 b_price -0.7345 0.0176 gamma_LV_reg_user -0.9797 0.0740 gamma_LV_university -0.5471 0.0846 gamma_LV_age_50 0.4998 0.0676 lambda 0.6284 0.0318 zeta_quality 0.9373 0.0558 zeta_ingredient -0.8198 0.0751 zeta_patent 1.1063 0.0818 zeta_dominance -0.6568 0.0675 tau_quality_1 -1.9338 0.0785 tau_quality_2 -0.9832 0.0574 tau_quality_3 1.1483 0.0628 tau_quality_4 2.3024 0.1243 tau_ingredients_1 -2.1164 0.1172 tau_ingredients_2 -1.0342 0.0916 tau_ingredients_3 0.8712 0.0837 tau_ingredients_4 1.8050 0.1053 tau_patent_1 -2.0890 0.1145 tau_patent_2 -0.9782 0.0714 tau_patent_3 1.0575 0.0653 tau_patent_4 2.0322 0.0619 tau_dominance_1 -2.1857 0.1095 tau_dominance_2 -1.1128 0.0751 tau_dominance_3 1.0384 0.0561 tau_dominance_4 2.0901 0.0581 Upper level model results for mean parameters for underlying Normals These outputs have NOT had the scaling used in estimation applied to them Mean SD b_brand_Artemis 1.4328 0.0647 b_brand_Novum 1.1466 0.0642 eta 0.0000 0.0000 Upper level model results for covariance matrix for underlying Normals (means across iterations) These outputs have NOT had the scaling used in estimation applied to them b_brand_Artemis b_brand_Novum eta b_brand_Artemis 0.086 0.0000 0 b_brand_Novum 0.000 0.1193 0 eta 0.000 0.0000 1 Upper level model results for covariance matrix for underlying Normals (SD across iterations) These outputs have NOT had the scaling used in estimation applied to them b_brand_Artemis b_brand_Novum eta b_brand_Artemis 0.0217 0.0000 0 b_brand_Novum 0.0000 0.0302 0 eta 0.0000 0.0000 0 Summary of distributions of random coeffients (after distributional transforms) These outputs have had the scaling used in estimation applied to them Mean SD b_brand_Artemis 1.4293 0.2931 b_brand_Novum 1.1410 0.3416 eta -0.0077 0.9947 Covariance matrix of random coeffients (after distributional transforms) These outputs have had the scaling used in estimation applied to them b_brand_Artemis b_brand_Novum eta b_brand_Artemis 0.0859 -0.0002 -0.0042 b_brand_Novum -0.0002 0.1167 -0.0058 eta -0.0042 -0.0058 0.9894 Correlation matrix of random coeffients (after distributional transforms) These outputs have had the scaling used in estimation applied to them b_brand_Artemis b_brand_Novum eta b_brand_Artemis 1.0000 -0.0022 -0.0146 b_brand_Novum -0.0022 1.0000 -0.0171 eta -0.0146 -0.0171 1.0000 Results for posterior means for random coefficients These outputs have had the scaling used in estimation applied to them Mean SD b_brand_Artemis 1.4327 0.0881 b_brand_Novum 1.1466 0.1217 eta 0.0125 0.7805