Statistics and logic Suppose you want to compare two populations. Normally, you want to prove that they are significantly different. One of the most common ways to do so is to test if the different in means is a result of condition or occurred by chance. Common tests to assess this are t-test or in […]

# Are one-way ANOVA and t-test equivalent?

Yes. Assume we know the variance . Let be the t-test statistic and be the one-way ANOVA statistic. One can reasonably easly show that . Therefore, for a two-sided test corresponding quantiles are equivalent. However, there is no equivalent one-sided test in anova since we are looking at a ‘squared’ value. As we can see, […]