Apologies if this has already been suggested.
For ttest, it would be great if one could specify a nonzero difference between mu1 and mu2 for unpaired t-tests.
Context. I teach my students that all t-tests have a common format, as follows: t = (statistic - parameter|H0) / SEstatistic. (See attached slides for a nicer view of that.) For an unpaired t-test, the statistic = the difference between the two sample means, the parameter|H0 = the specified difference between the two population means (which does not necessarily have to be zero), and SEstatistic = the standard error of the difference between two independent means. To illustrate a null specifying a nonzero difference between population means, I made up an example stating that in 1960, the population difference in height between men and women was 5 inches. Someone collecting data currently wishes to test the null hypothesis that the difference is still 5 inches. It would be great if statistical software allowed one to test hypotheses like this without having to resort to the trickery of subtracting a given amount (5 inches in this case) from the scores of one group.
Cheers,
Bruce
For ttest, it would be great if one could specify a nonzero difference between mu1 and mu2 for unpaired t-tests.
Context. I teach my students that all t-tests have a common format, as follows: t = (statistic - parameter|H0) / SEstatistic. (See attached slides for a nicer view of that.) For an unpaired t-test, the statistic = the difference between the two sample means, the parameter|H0 = the specified difference between the two population means (which does not necessarily have to be zero), and SEstatistic = the standard error of the difference between two independent means. To illustrate a null specifying a nonzero difference between population means, I made up an example stating that in 1960, the population difference in height between men and women was 5 inches. Someone collecting data currently wishes to test the null hypothesis that the difference is still 5 inches. It would be great if statistical software allowed one to test hypotheses like this without having to resort to the trickery of subtracting a given amount (5 inches in this case) from the scores of one group.
Cheers,
Bruce
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