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On Testing and Estimating the Interaction Between Treatments and Environmental Conditions in Binomial Experiments, I: The Case of Two Stations.

机译:二项式实验中处理与环境条件相互作用的测试与评估,I:两站的情况。

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Estimating confidence intervals for the interaction between treatments and environmental conditions in binomial experiments is analyzed. Testing the interaction is studied also. The problem is reduced to that of estimating or testing the interaction parameter in 2x2x2 contingency tables with given marginals. Programs for determining the exact conditional tests and their power functions are provided for samples of size not exceeding 100. Large sample approximations based on maximum likelihood (ML) and on the arcsin transformation for proportions are studied. It is shown that the arcsin transformation is effective also in small samples and may yield asymmetric confidence intervals which are shorter than exact conditional confidence limits.

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