One-way ANOVA Test Using Python

by | Feb 9, 2023 | Statistics For Machine Learning

One-way ANOVA Test Using Python

What is a one-way ANOVA test?

In one of our previous articles, we discussed t-tests. We discussed that if we want to compare the mean of two independent groups, we perform a t-test. But, if we have three or more independent groups and we want to determine whether the difference between the mean of these three or more independent groups are statistically significant, we can perform a one-way ANOVA test or one-way analysis of variance test.

Please note that in one-way ANOVA, we have one dependent and one independent variable. The independent variable is a categorical variable that is used to form the groupings. And the dependent variable is a continuous variable.

For example, let’s say a teacher wants to compare three different methods of teaching. So, he can select three distinct groups of students so that each group of students is subjected to a teaching method. After that, the teacher can conduct a test for each group of students and compare the mean marks obtained by each group of students. If we want to know whether the difference between the mean marks obtained by each group of students is statistically significant, we can perform a one-way ANOVA or one-way analysis of variance test.

Please note that the one-way ANOVA test is a parametric test. If we want to perform a one-way ANOVA test, the data must meet the following requirements:

  • The values of the dependent variable should approximately follow a normal distribution.
  • The observations must be independent of each other. There should be no relation between the subjects in each sample.
  • And the variances should be approximately equal across the groups.

How to calculate the test statistic in a one-way ANOVA test?

The test statistic in the one-way ANOVA test can be calculated in the following way: …

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Amrita Mitra

Author

Ms. Amrita Mitra is an author, who has authored the books “Cryptography And Public Key Infrastructure“, “Web Application Vulnerabilities And Prevention“, “A Guide To Cyber Security” and “Phishing: Detection, Analysis And Prevention“. She is also the founder of Asigosec Technologies, the company that owns The Security Buddy.

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