The first hypothesis is the here will be significant differences between the groups on whether J--- would be found guilty. We will test this with the following:
probit guilty i.tbi
Afterwards, we will test, whether people would recommend the 'harsher' punishment of prison over probation:
probit prison i.tbi i.guilty
We will also drop the 'guilty' term to see if this changes the results.
Finally, we will test whether they would recommend longer sentences. This will be done by running an ANOVA on sentence length, with HSD and Bonferroni-corrected post-hoc tests. If there is heterogeneity of variance, we will run Dunnett's T3 post-hoc tests.
To test for differences in participant's beliefs about effort and 'true self', we will run a path analysis on the two variables, allowing them to correlate, using WLSMV estimator due to the fact that they are ordered ccategorical variables, testing for whether there are differences between the three groups.
Finally, as a test of the 'meatbag model', we will run an ANOVA on the total dualism score of the 5 items with an ANOVA on dualism, with HSD and Bonferroni-corrected post-hoc tests. If there is heterogeneity of variance, we will run Dunnett's T3 post-hoc tests.