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What is the equation for a paired t-test?

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What is the equation for a paired t-test?

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hypnagogue

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It's the same as a normal t-test. You just have to keep in mind that you're testing against the null hypothesis H_{0}: μ_{D} = 0, where μ_{D} is the population mean of differences between pairs of observations. So it's

t_{0} = d(bar) / (s_{d} / √n)

where d(bar) and s_{d} are the sample mean and sample standard deviation for the differences between each pair.

edit: And just to be clear, n is the number of*pairs* of observations.

Basically, you treat this like a regular t-test problem, except your random variable is the difference between each pair of observations.

t

where d(bar) and s

edit: And just to be clear, n is the number of

Basically, you treat this like a regular t-test problem, except your random variable is the difference between each pair of observations.

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