ANOVA with Summary Statistics: A Stata Macro

Abstract

Almost all available statistical packages are capable of performing Analysis of Variance (ANOVA) from raw data. Some of statistical packages have capability to perform independent sample t-test, and some other tests of significance on summary data, but seldom would you come across a software that has the capability to perform ANOVA directly on summary data. However some packages can perform one-way ANOVA after generating surrogate data from summary statistics. In this short note we have given STATA program to perform one-way ANOVA on summary data; in addition this program also performs Bartllet’s tests of equality of variances. The idea can be extended to two-way and higher way ANOVA’s. Examples have been given for illustration.

Keywords: ANOVA, Summary data