Calculating the Exact Pooled Variance

Details Calculating the Exact Pooled Variance Calculating the Exact Pooled Variance

2010-07-06

arxiv.org/abs/1007.1012v1

Physics

Data Analysis, Statistics and Probability

Scientific paper

An exact method of calculating the variance of a pooled data set is presented. Its major advantages over the many other methods are that it is simple, is easily derived and remembered, and requires no assumptions. The result can be concisely summarized as follows: "The Exact pooled variance is the mean of the variances plus the variance of the means of the component data sets." The proof is so simple that it has certainly been done many times before, but it is absent in the textbooks. Its practical significance is discussed.

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