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. 2020 Mar 9;117(12):6463–6468. doi: 10.1073/pnas.1914324117

Table 1.

Regression analyses of the effect of prosocial behavior on happiness, self-image, and mood in the short and long run

Short run Long run
Dependent variable (standardized) 1) Happiness 2) Self-image 3) Mood 4) Happiness 5) Self-image 6) Mood
Lottery choice: 1 if altruistic, 0 if selfish 0.11 (0.112) 0.41*** (0.135) −0.62*** (0.149) −0.05 (0.129) 0.28** (0.128) 0.17 (0.172)
Lottery outcome: 1 if life saved, 0 if money received 0.03 (0.116) 0.28** (0.132) 0.21 (0.179) −0.29* (0.150) 0.25 (0.159) 0.14 (0.190)
Altruistic lottery choice × life saved 0.06 (0.159) −0.05 (0.166) 1.16*** (0.212) 0.06 (0.190) −0.27 (0.193) −0.14 (0.235)
Baseline happiness (at beginning of session) 0.77*** (0.065) 0.61*** (0.056)
Baseline self-image (at beginning of session) 0.52*** (0.033) 0.46*** (0.041)
Baseline mood (at beginning of session) 0.10** (0.037) 0.18*** (0.041)
Constant −3.65*** (0.316) −4.45*** (0.279) −0.84*** (0.302) −2.64*** (0.294) −3.83*** (0.344) −1.47*** (0.356)
Main effect choice: altruistic lottery 0.14* 0.38*** –0.04 –0.02 0.14 0.11
short run = long run 2.29 4.76** 0.94
 (χ2 statistic)
Main effect outcome: life saved 0.06* 0.25*** 0.78*** –0.26*** 0.12 0.07
short run = long run 8.39*** 1.44 24.34***
 (χ2 statistic)
R2 0.5426 0.5564 0.3127 0.3642 0.391 0.08326
N 297 297 297 297 297 297

Displayed are regression results that complement the findings in Fig. 2 using ordinary least squares. Columns 1 to 3 present the short-run results, and columns 4 to 6 present the long-run results. In each column, we regressed a standardized happiness score, self-image score, or mood score on an indicator variable that equals one if a subject chose the prosocial lottery and zero otherwise (row 1); an indicator variable that is one if the subject’s lottery draw determined that she would save a life and zero if she received the money (row 2); a term capturing the interaction between these two variables (row 3); and the standardized baseline level of the dependent measure (rows 4 to 6). All regressions include a constant. Analogous ordered probit regressions are reported in SI Appendix, Table S2. Robust SEs are in parentheses. The asterisks indicate significance levels of two-sided t tests for the null hypothesis that the regression coefficient equals zero. The table also displays F tests unless indicated otherwise. *P < 0.1; *P < 0.05; *P < 0.01.