I've spent hours searching online (by "non parametric factorial ANOVA"), reading in books (Zar's "Biostatistical analysis") and manuals (R), but I can't find any clear solution, so I'll bite the bullet and I whine to you.

First, sorry for my English and my lack of Statistical knowledge.

**Data:**

http://imgur.com/23toaot

View attachment 5110

Dependent variable: Ci

Independent variables (nominal): Sex, Age or Mature and Location.

**Goal:**

Find if the dependent variable follows/is affected significatively by any independent variable of interactions of the latter. I assumed I needed a multi-factorial ANOVA.

**Problem:**

Dependent variable doesn't follow a normal distribution (neither its residuals after fitting it to an ANOVA).

I tried using Friedman, but I'm not sure if it's only for the two-ways ANOVA. In any case, I believe I can't analyze the possible interactions, so I'm not sure if it would be right choice.

**Questions:**

Any non-parametric alternative to multi-factorial ANOVA?

If I'd need to transform the data, what transformation should I apply?

How can I deal with uncompleted design where I don't have data for every block?

Thanks, I'd really appreciate your help.

Note: I'm using R.