Paired t-test

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  • #1
Brad_Ad23
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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 H0: μD = 0, where μD is the population mean of differences between pairs of observations. So it's

t0 = d(bar) / (sd / √n)

where d(bar) and sd 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.
 
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