I need some help in understanding what kind of post-hoc test I would need to run after an ANOVA.
Let's suppose that I have only 1 group of subjects and as independent variable I have "Condition". "Condition" has 4 levels "Condition_1", "Condition_2", "Condition_3", "Condition_4". As dependent variable, I have reaction times (RT).
To analyze this data I would use a One-Way repeated measures ANOVA. Specifically, in Python I would use the following test:
import pingouin as pg from pingouin import mixed_anova, read_dataset df_ANOVA = result.rm_anova(dv='RT', within='Condition', subject='Subjects', detailed=True)
Provided that I have a significant effect, what kind of post-hoc test would you apply? My hypothesis is that Reaction Times increase for each condition. In other words, each condition mean RT is smaller than the mean RT of the following condition: Condition_1 < Condition_2 < Condition_3 < Condition_4.