I started by testing for normality, and out of the 16 different test results (I have 8 scenarios and tested each with a Kolmogorov-smirnov and Shapiro-wilk test), 13 yielded a normal distribution of over .05. So I assumed I should then use an ANOVA test to see if there's significance. However, when I double-checked this with a professor in my department, he (who said he also is no stats expert) said I shouldn't assume normality with any of my results, and stick to using a Kruskal-Wallis test over ANOVA. I'm not really sure why, but I'm wondering if someone could let me know what they think? My sample is 96 people if that has any importance. Thank you!