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The decline and fall of type II error rates

机译:II型错误率的下降和下降

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摘要

It is discussed about the importance of considering Type I and Type II error aspects in testing a hypothesis. A more important fact is that a reasonable sample size is required to contain the effect of these errors in deciding on the test results. While Type I error is commonly considered in such cases, Type II error is not taken due to complexity in calculations. This aspect is considered to demonstrate how the Type II error rate can help to determine an effective sample size. First, the testing of hypothesis under two normal populations with known variance is considered and then the approach is established for general linear models with normally distributed random errors. It is, in fact, shown that the Type II error decreases exponentially as a function of sample size, and hence there exists a scope for fixing sample size.
机译:讨论了在检验假设时考虑类型I和类型II错误方面的重要性。一个更重要的事实是,在确定测试结果时需要合理的样本量以包含这些误差的影响。尽管在这种情况下通常会考虑I型错误,但由于计算复杂性,所以不采用II型错误。考虑这一方面是为了证明II型错误率如何帮助确定有效样本量。首先,考虑在具有已知方差的两个正态总体下进行假设检验,然后针对具有正态分布随机误差的一般线性模型建立该方法。实际上,显示出II型误差随样本大小呈指数下降,因此存在固定样本大小的范围。

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