Non-parametric repeated-measure ANOVA for multifactorial design?

by exin   Last Updated September 11, 2019 13:24 PM

I'm searching for an appropriate statistical test, briefly as described in the title.

Expt design:

10 larvae are allowed to swim in an experiment chamber virtually divided into 4 brightness quartiles (Q1 to Q4, Q1 being closest to a lamp source).
They are recorded for 1 minute. Every 5 seconds I score the number of larvae that's in each quartile (score out of 10 for t0, t5, t10, t15 etc.).
This assay is run 3 times for each treatment (T1, T2)(different drugs being added to the water).

Hence I have:
y - score (not normally distributed)
x1 - T1, T2 (what I really care about)
x2 - t0, t5, t10... (13 time points)
x3 - Q1 to Q4 (4 quartiles)

Choices:
1. Simply do a Wilcoxon rank sum test to compare Scores between T1 and T2, across the timepoints (treat as 2 series of data, paired). Do this for each quartile separately. 2. non-parametric version of repeated measures ANOVA (Friedman test), but this doesn't cater for a multifactorial design.

1 is probably over-simplifying it. I can't seem to find the solution to 2.
Ordinal logistic regression seems to be an option too...?

Advice would be greatly appreciated!



Related Questions


Add stats to "less info" on users profile page

Updated July 28, 2018 15:24 PM



interpreting coefficient of Poisson regression

Updated April 24, 2017 10:24 AM

Which sites have the most female users?

Updated March 31, 2016 08:10 AM