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Pearson's correlation coefficient is the covariance of the two variables divided by the product of their standard deviations. The form of the definition involves a "product moment", that is, the mean (the first moment about the origin) of the product of the mean-adjusted random variables; hence the modifier product-moment in the name.
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 .
Data compression ratio, also known as compression power, is a measurement of the relative reduction in size of data representation produced by a data compression algorithm. It is typically expressed as the division of uncompressed size by compressed size.
The variance-to-mean ratio, /, is another similar ratio, but is not dimensionless, and hence not scale invariant. See Normalization (statistics) for further ratios. In signal processing , particularly image processing , the reciprocal ratio μ / σ {\displaystyle \mu /\sigma } (or its square) is referred to as the signal-to-noise ratio in ...
The incremental cost-effectiveness ratio (ICER) is a statistic used in cost-effectiveness analysis to summarise the cost-effectiveness of a health care intervention. It is defined by the difference in cost between two possible interventions, divided by the difference in their effect.
Investors use the return on assets ratio formula to evaluate a company. The greater a return, the higher valuation investors are likely to provide.
The variation ratio is a simple measure of statistical dispersion in nominal distributions; it is the simplest measure of qualitative variation. It is defined as the proportion of cases which are not in the mode category:
The ratio estimator is a statistical estimator for the ratio of means of two random variables. Ratio estimates are biased and corrections must be made when they are used in experimental or survey work. The ratio estimates are asymmetrical and symmetrical tests such as the t test should not be used to generate confidence intervals.
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