Analysis of Variance (ANOVA)

Juran DMAIC Tools, Knowledge

What is Analysis of Variance?

Analysis of Variance (ANOVA) is a statistical technique for analyzing data that tests for a difference between multiple (more than two) population means.

The null hypothesis will state that there are no differences among the population means.
Ho: μ1 = μ2 = μ3

The alternative hypothesis will specify the following:
Ha: At least one mean is different.

This analysis determines if the differences between the averages of the factor levels are greater than could reasonably be expected from the variation that occurs within the level.

Using ANOVA requires the following:

  1. A response that is continuously taken from measurements of the factors sampled.
  2. A factor that is categorical with different values (called levels) chosen for the factor.
  3. Independent and normally distributed data.
  4. Population variances are equal across all levels of the factor.

ANOVA graph


 

For more information on ANOVA and how Juran can help you leverage it to improve business quality and productivity, please get in touch with the team.

 

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Author: Juran

For the past 75 years, Juran has been an industry leader in performance excellence. We are your on-demand team of trainers, coaches, and expert consultants. Built upon the philosophies laid out by Dr. Juran, the father of quality, we put you on the fast track to results by designing improvement initiatives that actually work. We aim to help all organizations achieve the highest quality of products, people, and processes, and we understand the importance of transferring our knowledge to your team to guarantee the success of your program in the future.