ON THE BEST CHOICE OF SAMPLE SIZE FOR A T-TEST WHEN THE RATIO OF VARIANCES IS KNOWN,

摘要

The situation considered is that of testing the difference of the means of two normal populations on the basis of a sample from each population,where the ratio of the population variances is known. The choice of sample sizes has been restricted to certain pairs which are equally preferable from the viewpoint of practical considerations (cost,difficulty of obtaining sample values,etc.). This note presents an easily applied method of determining which of these pairs of sample sizes yield the most powerful one-sided and symmetrical tests. (Author)