As recognized by most researchers, small samples tend to have very limited statistical power for detecting population differences (e.g., between groups) and relations (i.e., between variables) of interest. Means, correlation coefficients, and other sample findings tend to be imprecise estimates of the corresponding population parameters of interest when sample sizes are small. In a study, we take a sample to estimate results for the whole population from which the sample is taken. We must remember that rejecting a null hypothesis is always accompanied with a chance that the null hypothesis was actually true.
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