For Becker this is literally true: what we regard as normality is our collective, protective madness, in which we repress the grim truth about the human condition.
Quote - normality is our collective, protective madness in which we repress the grim truth of the human condition.
How useful are vaccine passports? (2021, March 13). The Economist. https://www.economist.com/leaders/2021/03/13/how-useful-are-vaccine-passports
u/hamilton_ian. (2021). The effect of the news. r/BehSciAsk. Reddit
With large sample sizes, both tests are very sensitive to slightest violations and will usually have p-values below .05, although the data/residuals are sufficiently normally distributed.
The problem with normality tests.
Underlying Assumptions: Normality
Repeated measures anova normality and sphericity
Spiegelhalter, D. (2020). Use of “normal” risk to improve understanding of dangers of covid-19. BMJ, 370. https://doi.org/10.1136/bmj.m3259
r/BehSciResearch—Summary of first policy problem challenge on BehSciAsk. (n.d.). Reddit. Retrieved June 20, 2020, from https://www.reddit.com/r/BehSciResearch/comments/hc0zy2/summary_of_first_policy_problem_challenge_on/
However, platykurtosis can have a profound effect when your group sizes are small. This leaves you with two options: (1) transform your data using various algorithms so that the shape of your distributions become normally distributed or (2) choose the nonparametric Kruskal-Wallis H Test which does not require the assumption of normality.
ANOVA is robust against violation of normality, but...
Testing for Normality using SPSS Statistics