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The goal is to run non-parametric general linear model with no restrictions on the design (e.g. not limited to one-way ANOVA as in Kruskal-Wallis test; quantitative factors should be admissible, etc) and to be able to estimate contrast p-values. Each observation will be converted into rank with no ties.

I saw a few warnings about converting a continuous dependent variable into ordinal response, so I need to clarify: is the problem only that a few distinct original observations can fall into the same category and information is lost? If yes, then do I get it right that everything is fine in my case because I will have only one observation per category?

Also, for the people who tried it in practice, am I likely to get very different results between parametric ANOVA and ordinal regression in case when ANOVA assumptions hold?

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    $\begingroup$ See stats.stackexchange.com/a/145312/17230, stats.stackexchange.com/a/63958/17230. $\endgroup$
    – Scortchi
    Commented Feb 2, 2017 at 21:52
  • $\begingroup$ Thanks. So it looks like treating the continuous response as ordinal is not a problem per se. What about my last question: in terms of contrast p-values, is it possible to get very different results between ANOVA and the corresponding ordinal regression when ANOVA assumptions are actually true? $\endgroup$
    – James
    Commented Feb 2, 2017 at 23:19

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