# Scheffe’s Test – Definition

### Scheffe’s Test Definition

The Scheffe’s Test is used in an analysis of variance (ANOVA) to test multiple comparisons among a group of means. This test analyzes a group of means to evaluate the difference between the means. Scheffe’s test is used when making an unplanned comparison between data sets once an ANOVA test has been completed.

The Scheffe’s Test was developed by an American statistician, Henry Scheffe, the test was also named after him. Scheffe’s test is regarded as one of the safest methods used for testing multiple comparisons, it is also used when an ANOVA test gives an F-statistic result.

### A Little More on What is Scheffe’s Test

The Scheffe’s test is often applied for an unplanned comparison, this is a comparison done after an ANOVA test has been carried out on data sets. Scheffe’s test is a flexible test that allows an analyst to determine the difference between data sets or groups of means. Despite the benefits of this test, it has a drawback which is its limited statistical power. Scheffe’s test is however appropriate for multiple comparison tests and unplanned comparisons.

### References for “Scheffe’s Test”

https://www.investopedia.com/terms/s/scheffes-test.asp

https://www.statisticshowto.datasciencecentral.com/scheffe-test/

www.real-statistics.com/one-way-analysis-of-variance-anova/…/scheffe-test/

https://www.wavemetrics.com/products/igorpro/dataanalysis/…/tests/statistics_pxp26