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That’s the difference between practical significance and statistical significance. ![]() This condition can cause the test to identify an inconsequential difference as being statistically significant. However, using additional tests always increases the probability of both false positives and false negatives (a.k.a, Type I and Type II errors).Īdditionally, if you have a large sample size, the f-test has more statistical power. And, Excel does offer the F-test Two-Sample for Variances. Some analysts advise using an F-test to determine whether the variances are unequal. Which One to Use?Īdvice for using either the equal or unequal variances form of the 2-sample t-test varies because this issue is more complicated than it first appears. Another form of the test, known as Welch’s t-test, does not assume equal variances.Īs an aside, thanks to the central limit theorem, you can safely use t-tests to analyze nonnormal data when have ~20 or more observations per group. However, the conventional t-test also assumes the standard deviations/variances for both groups are equal. All t-tests assume you obtained data from normally distributed populations. Variances and the closely related standard deviation are measures of variability. One that assumes equal variances and the other that assumes unequal variances. You’ll notice that Excel has two forms of the two-sample t-test. The standard form tests the following hypotheses: To learn more about unstandardized and standardized effect sizes, read my post about Effect Sizes in Statistics. Effect sizes help you understand how important the findings are in a practical sense. Cohen’s d is the corresponding standardized effect size and it’s appropriate to report in some cases. 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