# Kolmogorov-Smirnov and related goodness-of-fit tests

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Jeff Miller
on 15 Mar 2021

I see that you are using the term "distribution" much differently than I originally thought. That is, for you a "distribution" is not a frequency distribution of randomly varying scores within a single condition, but rather a systematic change in scores across diameter position.

This graph does not display any information relevant to the question of whether the scores are Gaussian in the statistically relevant sense, which is whether the 15 scores that went into each one of the 2*100 plotted points all come from normal distributions (with potentially 200 different means).

For your question, I would consider using two-factor ANOVA. One factor is control vs drug treatment, with n=15 in each group. This is a "between-Ss" factor. The other factor is X dimension, with 100 levels. This is a "repeated measures" factor since each animal was measured at all levels. If you have a specific functional model for how Y changes across X, then you can remove the X factor and replace it with the parameters of that function (estimated separately for each animal).

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