The Comparison of the Sensitivities of Similar Experiments: Model II of the Analysis of Variance

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Abstract
This paper extends earlier work on the comparison of sensitivities of experiments based on Model I of the analysis of variance to such comparisons for experiments based on Model II of analysis of variance. The procedures are similar to but somewhat simpler than those developed earlier and require the same tables. Along with the new applications developed, we have included new and extended tables for the distributions of the ratio of two central variance-ratios with equal pairs of degrees of freedom. Tables of critical values of that ration w show values of w0 ([alpha]) such that P[w > w0 ([alpha])]=[alpha] for [alpha] = 0.05, 0.025, 0.01, and 0.005 and for variance-ratio degrees of freedom 2 (1) 21, 30, 40, 60, and 120 in the numerator and 2 (2) 20, 30, 40, and co in the denominator. An example is given using data previously published and both the test of significance on sensitivities and a confidence interval are obtained. Conclusions regarding the example are in agreement with those stated by the authors of the example.

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