|SampleStudentTTest Method (Sample, Sample)|
public static TestResult StudentTTest( Sample a, Sample b )
Public Shared Function StudentTTest ( a As Sample, b As Sample ) As TestResult
public: static TestResult^ StudentTTest( Sample^ a, Sample^ b )
static member StudentTTest : a : Sample * b : Sample -> TestResult
Given two samples, a back-of-the-envelope way to determine whether their means differ in a statistically significant way is to compare their PopulationMean values. If their error bars overlap, they are probably statistically compatible; if they do not, the difference in means is probably statistically significant. Student's t-test is a way to refine this back-of-the-envelope procedure into a statistical test that can determine exactly how likely a given seperation of means is under the null hypothesis that the two samples are drawn from the same distribution.
The t-statistic is proportional to the mean of a minus the mean of b, so t > 0 indicates that a has a greater mean.
Student's t-test was one of the first statistical tests. It was described by William Sealy Gosset, a chemist who worked for the Guiness brewing company. Since Guiness was concerned that other breweries might take advantage of a technique published by one of its chemists, Gosset published his work under the pseudonym Student.