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In paired t-test, what's the difference between using pooled variance and using the standard deviation of...

In paired t-test, what's the difference between using pooled variance and using the standard deviation of the difference to calculate p-value?

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Answer #1

When we assume ,Equal population variances of two populations in paired t-test, the POOLED VARIANCE provides a higher precision estimate of variance than the individual sample variances.

Whereas , if population variances are not assumed to be equal, Standard Deviation of the difference is used to calculate the p-value.

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