with-groups ANOVA and between-groups ANOVA

What are the main differences between with-groups ANOVA and between-groups ANOVA?
When to use within-groups ANOVA and when to use Chi-Square tests? Give one example when ANOVA is preferred and another example when a Chi-Square test is preferred.
Why are non-parametric tests considered to be a “weaker” test than a parametric test?

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