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Paired Samples t-test: Definition, Formula, and Example

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A paired samples t-test is used to compare the means of two samples when each observation in one sample can be paired with an observation in the other sample. This tutorial explains the following: A paired samples t-test is commonly used in two scenarios: 1. A measurement is taken on a subject before and after some treatment – e.g. the max vertical jump of college basketball players is measured before and after participating in a training program. 2. A measurement is taken under two different conditions – e.g. the response time of a patient is measured on two different drugs. In both cases we are interested in comparing the mean measurement between two groups in which each observation in one sample can be paired with an observation in the other sample. A paired samples t-test always uses the following null hypothesis: The alternative hypothesis can be either two-tailed, left-tailed, or right-tailed: We use the following formula to calculate the test statistic t: t = xdiff / (sdiff/√n)

A paired samples t-test is used to compare the means of two samples when each observation in one sample can be paired with an observation in the other sample. This tutorial explains the following: A paired samples t-test is commonly used in two scenarios: 1. A measurement is taken on a subject before and after some treatment – e.g. the max vertical jump of college basketball players is measured before and after participating in a training program. 2. A measurement is taken under two different conditions – e.g. the response time of a patient is measured on two different drugs. In both cases we

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