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Quadrant count ratio
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Quadrant count ratio : ウィキペディア英語版
Quadrant count ratio
The quadrant count ratio (QCR) is a measure of the association between two quantitative variables. The QCR is not commonly used in the practice of statistics; rather, it is a useful tool in statistics education because it can be used as an intermediate step in the development of Pearson's correlation coefficient.
== Definition and properties ==
To calculate the QCR, the data are divided into quadrants based on the mean of the X and Y variables. The formula for calculating the QCR is then:
: q=\frac)-n(\text)-n(\text)},
where \text is the number of observations in that quadrant and N is the total number of observations.
The QCR is always between −1 and 1. Values near −1, 0, and 1 indicate strong negative association, no association, and strong positive association (as in Pearson's correlation coefficient). However, unlike Pearson's correlation coefficient the QCR may be −1 or 1 without the data exhibiting a perfect linear relationship.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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