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| \begin{table} | ||
| \begin{center} | ||
| \begin{small} | ||
| \begin{tabular}{l c} | ||
| \hline | ||
| & Model 1 \\ | ||
| \hline | ||
| Participant\_groupSelfish & $-2.53 \; (0.31)^{***}$ \\ | ||
| Participant\_groupCompetitive & $-3.14 \; (0.34)^{***}$ \\ | ||
| Participant\_groupCooperative & $2.12 \; (0.24)^{***}$ \\ | ||
| Participant\_groupAltruistic & $2.73 \; (0.24)^{***}$ \\ | ||
| Modelgpt-3.5-turbo-0301 & $0.34 \; (0.16)^{*}$ \\ | ||
| Modelgpt-3.5-turbo-1106 & $0.23 \; (0.14)$ \\ | ||
| Participant\_groupSelfish:Modelgpt-3.5-turbo-0301 & $-0.05 \; (0.30)$ \\ | ||
| Participant\_groupCompetitive:Modelgpt-3.5-turbo-0301 & $-0.02 \; (0.34)$ \\ | ||
| Participant\_groupCooperative:Modelgpt-3.5-turbo-0301 & $0.05 \; (0.19)$ \\ | ||
| Participant\_groupAltruistic:Modelgpt-3.5-turbo-0301 & $-0.32 \; (0.19)$ \\ | ||
| Participant\_groupSelfish:Modelgpt-3.5-turbo-1106 & $-0.72 \; (0.32)^{*}$ \\ | ||
| Participant\_groupCompetitive:Modelgpt-3.5-turbo-1106 & $-1.09 \; (0.41)^{**}$ \\ | ||
| Participant\_groupCooperative:Modelgpt-3.5-turbo-1106 & $-0.48 \; (0.18)^{**}$ \\ | ||
| Participant\_groupAltruistic:Modelgpt-3.5-turbo-1106 & $-0.82 \; (0.18)^{***}$ \\ | ||
| threshold.1 & $0.70 \; (0.18)^{***}$ \\ | ||
| spacing & $1.58 \; (0.03)^{***}$ \\ | ||
| \hline | ||
| Log Likelihood & $-6686.16$ \\ | ||
| AIC & $13406.32$ \\ | ||
| BIC & $13524.82$ \\ | ||
| Num. obs. & $7865$ \\ | ||
| Groups (Participant\_id) & $450$ \\ | ||
| Variance: Participant\_id: (Intercept) & $1.79$ \\ | ||
| \hline | ||
| \multicolumn{2}{l}{\tiny{$^{***}p<0.001$; $^{**}p<0.01$; $^{*}p<0.05$}} | ||
| \end{tabular} | ||
| \end{small} | ||
| \caption{Fitted model for Dictator} | ||
| \label{table:dictator-estimates} | ||
| \end{center} | ||
| \end{table} |
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| % latex table generated in R 4.3.2 by xtable 1.8-4 package | ||
| % Wed Feb 28 10:51:20 2024 | ||
| \begin{table}[ht] | ||
| \centering | ||
| \begin{tabular}{lrrrrl} | ||
| \hline | ||
| Participant\_group\_pairwise & estimate & SE & df & z.ratio & p.value \\ | ||
| \hline | ||
| \multicolumn{6}{l}{Model = gpt-3.5-turbo-0613}\\ | ||
| Control - Selfish & 2.5312 & 0.3055 & Inf & 8.285 & $<$.0001 \\ | ||
| Control - Competitive & 3.1381 & 0.3373 & Inf & 9.303 & $<$.0001 \\ | ||
| Control - Cooperative & -2.1185 & 0.2420 & Inf & -8.753 & $<$.0001 \\ | ||
| Control - Altruistic & -2.7294 & 0.2432 & Inf & -11.221 & $<$.0001 \\ | ||
| Selfish - Competitive & 0.6069 & 0.3728 & Inf & 1.628 & 0.4793 \\ | ||
| Selfish - Cooperative & -4.6497 & 0.2986 & Inf & -15.574 & $<$.0001 \\ | ||
| Selfish - Altruistic & -5.2605 & 0.2999 & Inf & -17.541 & $<$.0001 \\ | ||
| Competitive - Cooperative & -5.2566 & 0.3315 & Inf & -15.856 & $<$.0001 \\ | ||
| Competitive - Altruistic & -5.8674 & 0.3328 & Inf & -17.631 & $<$.0001 \\ | ||
| Cooperative - Altruistic & -0.6109 & 0.2283 & Inf & -2.676 & 0.0576 \\ | ||
| \hline | ||
| \multicolumn{6}{l}{Model = gpt-3.5-turbo-0301}\\ | ||
| Control - Selfish & 2.5846 & 0.2997 & Inf & 8.625 & $<$.0001 \\ | ||
| Control - Competitive & 3.1622 & 0.3209 & Inf & 9.853 & $<$.0001 \\ | ||
| Control - Cooperative & -2.1697 & 0.2446 & Inf & -8.870 & $<$.0001 \\ | ||
| Control - Altruistic & -2.4077 & 0.2461 & Inf & -9.784 & $<$.0001 \\ | ||
| Selfish - Competitive & 0.5775 & 0.3491 & Inf & 1.655 & 0.4624 \\ | ||
| Selfish - Cooperative & -4.7543 & 0.2890 & Inf & -16.452 & $<$.0001 \\ | ||
| Selfish - Altruistic & -4.9924 & 0.2903 & Inf & -17.197 & $<$.0001 \\ | ||
| Competitive - Cooperative & -5.3319 & 0.3122 & Inf & -17.078 & $<$.0001 \\ | ||
| Competitive - Altruistic & -5.5699 & 0.3134 & Inf & -17.773 & $<$.0001 \\ | ||
| Cooperative - Altruistic & -0.2380 & 0.2259 & Inf & -1.054 & 0.8301 \\ | ||
| \hline | ||
| \multicolumn{6}{l}{Model = gpt-3.5-turbo-1106}\\ | ||
| Control - Selfish & 3.2536 & 0.3280 & Inf & 9.918 & $<$.0001 \\ | ||
| Control - Competitive & 4.2289 & 0.4041 & Inf & 10.465 & $<$.0001 \\ | ||
| Control - Cooperative & -1.6397 & 0.2379 & Inf & -6.891 & $<$.0001 \\ | ||
| Control - Altruistic & -1.9112 & 0.2387 & Inf & -8.008 & $<$.0001 \\ | ||
| Selfish - Competitive & 0.9753 & 0.4534 & Inf & 2.151 & 0.1986 \\ | ||
| Selfish - Cooperative & -4.8933 & 0.3242 & Inf & -15.094 & $<$.0001 \\ | ||
| Selfish - Altruistic & -5.1648 & 0.3248 & Inf & -15.900 & $<$.0001 \\ | ||
| Competitive - Cooperative & -5.8686 & 0.4015 & Inf & -14.617 & $<$.0001 \\ | ||
| Competitive - Altruistic & -6.1401 & 0.4020 & Inf & -15.274 & $<$.0001 \\ | ||
| Cooperative - Altruistic & -0.2715 & 0.2287 & Inf & -1.187 & 0.7589 \\ | ||
| \hline | ||
| \multicolumn{6}{l}{{\footnotesize P value adjustment: tukey method for comparing a family of 5 estimates}}\\ | ||
| \end{tabular} | ||
| \end{table} |