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Chemistry

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Analytical Chemistry

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Chemical Applications of Statistical Analyses

Comparing Variance with the F-Test

Description

The F-test compares variance in two data sets or compares a sample variance with a population variance. It helps decide whether an indeterminate error can explain a difference in the values. In statistics, variance shows how spread out the data are.

The test assumes that the data set or sets are ...

Transcript

F检验用于判断两个方差之间的差异是否过大,以至于无法用不确定误差来解释。该检验可比较样本方差与总体方差,或两个样本之间的方差。

F检验基于零假设,该假设认为所比较的两个方差相等。

检验统计量 F 通过方差的商来计算,其中方差表示为标准差的平方。

将较大值的方差置于分子,使得 F 值始终大于或等于一。

要使零假设成立,F 值应为1。由于存在偶然误差和系统误差,该值会大于1。

对于单尾检验,所获得的 F 将该值与选定置信水平和自由度下的查表F值进行比较。当获得的值大于查表F值时,拒绝零假设。 F ...

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