Skip to ContentGo to accessibility pageKeyboard shortcuts menu
OpenStax Logo

Analysis of Variance
also referred to as ANOVA, is a method of testing whether or not the means of three or more populations are equal. The method is applicable if:
  • all populations of interest are normally distributed.
  • the populations have equal standard deviations.
  • samples (not necessarily of the same size) are randomly and independently selected from each population.
  • there is one independent variable and one dependent variable.

The test statistic for analysis of variance is the F-ratio.

One-Way ANOVA
a method of testing whether or not the means of three or more populations are equal; the method is applicable if:
  • all populations of interest are normally distributed.
  • the populations have equal standard deviations.
  • samples (not necessarily of the same size) are randomly and independently selected from each population.

The test statistic for analysis of variance is the F-ratio.

Variance
mean of the squared deviations from the mean; the square of the standard deviation. For a set of data, a deviation can be represented as x x x where x is a value of the data and x x is the sample mean. The sample variance is equal to the sum of the squares of the deviations divided by the difference of the sample size and one.
Citation/Attribution

This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's permission.

Want to cite, share, or modify this book? This book uses the Creative Commons Attribution License and you must attribute OpenStax.

Attribution information
  • If you are redistributing all or part of this book in a print format, then you must include on every physical page the following attribution:
    Access for free at https://openstax.org/books/introductory-business-statistics-2e/pages/1-introduction
  • If you are redistributing all or part of this book in a digital format, then you must include on every digital page view the following attribution:
    Access for free at https://openstax.org/books/introductory-business-statistics-2e/pages/1-introduction
Citation information

© Jul 18, 2024 OpenStax. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License . The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo are not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Rice University.