*The Business Professor*, updated May 15, 2019, last accessed October 26, 2020, https://thebusinessprofessor.com/lesson/bonferroni-test-definition/.

### Bonferroni Test Definition

A Bonferroni Test is defined as a comparison tests often used in statistics that involve several statistics. Bonferroni correction and Bonferroni adjustment are other terms that have the same meanings and use as Bonferroni Test.

When multiple tests are run using the hypothesis, there is a tendency for an error to occur in the results and the result might be posed as statistically significant by the experimenter. The Bonferroni test permits that comparison of different variables in order to prevent inaccurate data from appearing as statistically significant. This test prevent data from falsely appearing as statistically significant by lowering the alpha value. multiple comparison statements to be made.

**A Little More on What is a Bonferroni Test**

The Bonferroni test was named after its developer an Italian Mathematician, Carlo Emilio Bonferroni. Aside from this test, there are other comparison tests that were developed, examples are Scheffe’s Test and the Tukey-Kramer method test. The Bonferroni Test method allows confidence intervals to be constructed in statistical analysis, in a way that the significant parameters can be maintained. Carlo Emilio Bonferroni, who developed the Bonferroni test lived between 1892 and 1960. Despite the usefulness of the Bonferroni test, it was criticised for being overly conservative and unable to do specific significant findings.

### References for Bonferroni Test

- https://www.investopedia.com/terms/b/bonferroni-test.asp#ixzz5WeZycJNz
- http://www.businessdictionary.com/definition/Boneferroni-test.html
- https://www.investopedia.com/terms/b/bonferroni-test.asp

### Academic Research on Bonferroni test

A stagewise rejective multiple **test **procedure based on a modified **Bonferroni test**, **Hommel, G. (1988). ***Biometrika***, ***75***(2), 383-386.**

A simple sequentially rejective multiple **test **procedure, **Holm, S. (1979). ***Scandinavian journal of statistics***, 65-70.**

An improved **Bonferroni **procedure for multiple tests of significance, **Simes, R. J. (1986). ***Biometrika***, ***73***(3), 751-754.**

An improved sequentially rejective **Bonferroni test **procedure, **Holland, B. S., & Copenhaver, M. D. (1987). ***Biometrics***, 417-423.**

A sharper **Bonferroni **procedure for multiple tests of significance, **Hochberg, Y. (1988). ***Biometrika***, ***75***(4), 800-802.**

A sequentially rejective **test **procedure based on a modified **Bonferroni **inequality, **Rom, D. M. (1990). ***Biometrika***, ***77***(3), 663-665.**

Multiple significance tests: the **Bonferroni **method, **Bland, J. M., & Altman, D. G. (1995). ***Bmj***, ***310***(6973), 170.**

Improved **Bonferroni**-type multiple testing procedures., **Holland, B. S., & Copenhaver, M. D. (1988). ***Psychological Bulletin***, ***104***(1), 145.**

On the power of some binomial modifications of the **Bonferroni **multiple **test**., **Teriokhin, A. T., & Guégan, J. F. (2007). ***Zhurnal obshchei biologii***, ***68***(5), 332-340.**

What’s wrong with **Bonferroni **adjustments, **Perneger, T. V. (1998). ***Bmj***, ***316***(7139), 1236-1238.**

A modified **Bonferroni **method for discrete data, **Tarone, R. E. (1990). ***Biometrics***, 515-522.**