The nominal variable must have only two values, such as "male" and "female" or "treated" and "untreated." Null hypothesis Use the two-sample t–test when you have one nominal variable and one measurement variable, and you want to compare the mean values of the measurement variable.
Student's t–test for two samples is mathematically identical to a one-way anova with two categories because comparing the means of two samples is such a common experimental design, and because the t–test is familiar to many more people than anova, I treat the two-sample t–test separately. Other t–tests include the one-sample t–test, which compares a sample mean to a theoretical mean, and the paired t–test. One of the most common is Student's t–test for two samples. There are several statistical tests that use the t-distribution and can be called a t–test. It tests whether the means of the measurement variable are different in the two groups. Use Student's t–test for two samples when you have one measurement variable and one nominal variable, and the nominal variable has only two values.
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