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假设检验学习笔记
2022-07-06 05:58:00 【瞻邈】
1. 假设检验的基本概念
1.1. 原假设(零假设)
对总体的分布所作的假设用表示,并称为原假设或零假设
在总体分布类型已知的情况下,仅仅涉及总体分布中未知参数的统计假设,称为参数假设
在总体分布类型未知的情况下,对总体分布类型或者总体分布的某些特性提出的统计假设,称为非参数假设
1.2. 假设检验中的两类错误
2. 单个正态总体参数的显著性检验
对假设的一个检验法完全决定于小概率事件A的选择。
2.1. μ检验
已知方差时对正态总体均值的显著性检验归纳为以下几个步骤:
2.2. t检验
2.3. 检验
3. 两个正态总体参数的显著性检验
3.1. F检验
正态总体参数显著性检验表
4. 非参数假设性检验
拟合优度检验
皮尔逊统计量
总结一下利用拟合优度检验来检验关于总体分布的假设,步骤如下:
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