ANOVA with Summary Statistics: A Stata Macro. Butt, N., S., Kamal, S., & Shahbaz, M., Q. SSRN Electronic Journal, 2(1):57, 1, 2006.
ANOVA with Summary Statistics: A Stata Macro [pdf]Paper  ANOVA with Summary Statistics: A Stata Macro [link]Website  doi  abstract   bibtex   
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.

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