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How can a P-Value be obtained for an analysis of Eta association? Is there a reference for this?

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Given that your previous title mentioned nominal and numerical, I assume you are talking about the effect size measure eta-squared. Eta-squared is the sample proportion of variance explained in a numerical variable by a categorical predictor variable. It is a biased estimate of the population variance explained (for a relatively unbiased estimate, I've often seen omega-squared recommended).

A p-value could be obtained by running a one-way between subjects ANOVA.

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I think "Statistics for Evidence-Based Practice and Evaluation" is a good book... (Please save this image and see it)

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