The t-test,one-way ANOVA,and regression analysis are mathematically equivalent and yield the same results in a two-group case.

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In a two-group case, the t-test, one-way ANOVA, and regression analysis all yield the same results because they rely on the same underlying mathematical equations. This equivalence is commonly referred to as the "general linear model." However, it is important to note that these tests have different assumptions and are appropriate for different research questions and designs beyond the two-group case.

The T-Test,one-Way ANOVA,and Regression Analysis Are Mathematically Equivalent and Yield