Comparison of Two Treatments When There May be an Initial Effect.
CALIFORNIA UNIV BERKELEY STATISTICAL LAB
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Consider the situations where the treatment may cause an initial effect and may also cause a long-range effect. We want to evaluate the treatment, or to compare two treatments, when the effect of treatment may result from the two distinct mechanisms, M1 and M2. We may wish to evaluate M1 and M2 separately, but we may also want to evaluate their combined effect M3. Examples are given and the general rules are applied to the special case arising in weather modification studies and elsewhere the possible effects are multiplicative and the distribution of nonzero variables is Gamma with at most the scale parameter affected by treatment. An example demonstrates that the two components may be too weak to be judged significant while their sum is large and significant. The locally optimum Calpha test is used. There is a brief discussion of the power function of the tests. Author
- Statistics and Probability