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目的 探讨单样本和两样本Z检验P值的理论分布及其与α、1-β、δ和σ的数量关系。 方法 分别以单样本均数 (率 )、两样本均数 (率 )比较的Z检验 ,说明P值的概率密度分布和累积分布函数及其曲线图。结果 给出了备择假设成立时 ,P值分布的百分位数及其与n、β、δ的数量关系。 结论 应用P值分布的百分位数可估计单侧假设检验中犯第二类错误的概率和检验功效
Objective To investigate the theoretical distribution of P value and its relationship with α, 1-β, δ and σ in single-sample and two-sample Z-test. Methods The Z-test of single sample mean (rate) and two sample mean (rate) comparison respectively shows the probability density distribution and cumulative distribution function of P value and its plot. The result shows the percentile of P value distribution and its relationship with n, β, δ when the alternative hypothesis is established. Conclusion The percentile of P value distribution can be used to estimate the probability of the second type of error in one-sided hypothesis test and test efficacy