In this article, we will explore some of the theory behind the one sample t test, assumptions of the test, interpretation and a worked example.

The t-test is used when you have small sample sizes or don’t know the standard deviation of the population. The t-statistics for the 1-sample and 2-sample t-tests are shown below.

(Statistical software can handle unequal variances for the two-sample t-test module, but the actual calculations are complex and beyond the scope of this article).

Two-Sample t-Test Calculator (Welch's t-Test) This web calculator conducts Welch's t-test for a difference between two populations' means when standard deviations are unknown and unequal. The ...

This short course provides an overview of statistical analyses useful for comparing the means for one or more samples. The statistical training will include the discussion of the one sample t-test, ...

A t-test is a statistic method used to determine if there is a significant difference between the means of two groups based on a sample of data. The test relies on a set of assumptions for it to ...

Many authors of statistical textbooks have been uncritical of the data in their examples of the paired-samples t-test. Careful criticism requires consideration of the following topics: outliers, ...

The Weisberg t-test could also be used during a retrospective review of data sets. For example, an earlier value may stand out as a possible outlier, but only after subsequent data show a pattern that ...