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Both the χ2 and the 1-way ANOVA allow one to study the effects of more than 2 levels of an independent variable on a dependent variable. Explain why we need the χ2 when we already have the ANOVA to ha...

Both the χ2 and the 1-way ANOVA allow one to study the effects of more than 2 levels of an independent variable on a dependent variable. Explain why we need the χ2 when we already have the ANOVA to handle more than one level of the independent variable. What does the χ2 allow us to do that the ANOVA does not?

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Yes, it is true that the χ2 and the 1-way ANOVA allow one to study the effects of more than 2 levels of an independent variable on a dependent variable.

We know that the ANOVA works only with interval or ratio data type whereas the chi square test is useful in case of non numerical data type, i.e. we can use the chi square test for testing hypothesis based on nominal or ordinal data.

So, Chi square test allow us to test hypothesis with nominal or ordinal data type, which is not allowed in ANOVA

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