The Comparison of the Sensitivities of Similar Experiments: Applications

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Abstract
A method of comparing the sensitivities of two available experimental techniques is derived, which is based on a comparison of the parameters of noncentrality [lambda]1 and [lambda]2 of two independent noncentral F- variates, F1 and F2, with the same degrees of freedom. The distribution of w = F1/F2 and its properties are given. The use of this statistic in tests of significance of the hypotheses of equal sensitivities for two identical experiments or the equality of two multiple correlation coefficients whose sampling distributions are based on regression models is explained. With the aid of a table of critical values of w, numerical examples are given illustrating the steps in the statistical analysis. A number of situations in taste-testing, chemical analysis, life-testing and agronomic research where the tests are applicable, are listed.

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