Harman Leon Harter

IN TESTING THE HYPOTHESIS THAT THE VARIANCES OF TWO POPULATIONS ARE EQUAL, A TEST BASED ON THE RATIO F' of the ranges of two samples, one from each population, is simpler than the conventional F test based on the ratio of the sample variances, and it is only slightly less powerful. In order to apply such a test, more extensive and more accurate tables of the percentage points of the ratio of the ranges of two samples from a normal population are needed. This required the computation, by numerical integration, of auxiliary tables of the probability density function of the range and both the probabili y ensity function and the cumulative distribution function of the ratio of two ranges, to 8, 6, and 5 decimal places, respectively. The next step was the computation, to 4 significant figures, by inverse interpolation in the table of the cumulative distribution function, of the percentage points of the ratio of two ranges. Finally, a table was computed. This report contains all of the probability density function tables together with a de cription of the method of computation, and an example of the use of the tables of percentage points and power. (Author).

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