The Welch-Satterthwaite equation is used to calculate an approximation of the effective degrees of freedom for a linear combination of independent sample variances, providing an estimate of pooled degrees of freedom when the underlying population variances are not assumed to be equal. This approximation allows statisticians to carry out approximate inference procedures in that setting, and its most common practical use is in Welch's t-test, a hypothesis test for comparing two sample means that does not require the assumption of equal variances.
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In statistics and uncertainty analysis, the Welch-Satterthwaite equation is used to calculate an approximation to the effective degrees of freedom of a linear combination of independent sample variances, also known as the pooled degrees of freedom, corresponding to the pooled variance.
- In Branch: Probability and Statistics, Lead sentence
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