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Analytical Chemistry

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Chemical Applications of Statistical Analyses

Significance Testing in Analytical Chemistry

Description

Significance testing helps analytical chemists decide whether a difference is meaningful or just caused by random error. It is used to test whether a claim about a parameter is valid. In analytical chemistry, it mainly helps determine whether a change between two values comes from determinate error or indeterminate error.

Transcript

这两个数值之间的差异是源于无法解释的随机误差,还是可由假设模型合理解释的系统误差?

显著性检验是一种统计分析方法,用于验证两个数值之间的差异是否可由不确定误差解释。

零假设认为所比较的数值是相同的,任何差异均源于不确定误差。备择假设则认为差异必然真实存在,无法用不确定误差来解释。

显著性水平用 α 表示,用于设定检验无效假设有效性的置信水平条件。当数值超出置信水平范围时,拒绝无效假设。

如果拒绝域仅出现在正态分布曲线的一端,则该显著性检验称为单尾检验。在双尾显著性检验中,拒绝域可出现在正态分布曲线的任一端。

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