This paper examines J.C.F. de Winter's (2013) article on using the Student's t-test with extremely small sample sizes (N ≤ 5). It walks through an independent samples t-test example comparing two groups on a continuous variable, explains the rationale for choosing this statistical approach, and summarizes de Winter's conclusions regarding Type I error rates, statistical power, and the conditions under which small-sample t-tests remain valid. The paper also highlights the importance of interpreting results cautiously when sample sizes are minimal.
The t-test statistic discussed below draws from the article Using the Student's t-test with Extremely Small Sample Sizes by J.C.F. de Winter (2013). The article presents the following example of an independent samples t-test:
"An independent samples t-test was conducted to compare the mean scores of Group A (M = 3.2, SD = 0.6, N = 3) and Group B (M = 2.8, SD = 0.5, N = 3) on the variable X. The t-test revealed no significant difference between the groups, t(4) = 1.08, p > .05."
In this example, the author used an independent samples t-test to compare the means of two groups (Group A and Group B) on a continuous variable (X), with sample sizes of N = 3 in each group. The t-value is 1.08 and the degrees of freedom are 4. The p-value is greater than .05, indicating that the difference between the groups is not statistically significant.
"Justifies choice of independent samples t-test"
"Summarizes findings on small-sample validity"
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