A Cluster Analysis Method for Grouping Means in the Analysis of Variance

1974/09/01 by A. J. Scott, A.J. Scott, M. Knott · 2,784 citations
Decision Sciences · Mathematics · #Advanced Statistical Methods and Models #Analysis of variance #Cluster (spacecraft) #Combinatorics #Computer science #Homogeneous #Mathematics #One-way analysis of variance #Optimal Experimental Design Methods #Statistical Methods in Clinical Trials #Statistics #Variance (accounting)

paper · doi:10.2307/2529204

published in Biometrics 30(3), 507 (Oxford University Press)

openalex publication_date 1974/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

It is sometimes useful in an analysis of variance to split the treatments into reasonably homogeneous groups. Multiple comparison procedures are often used for this purpose, but a more direct method is to use the techniques of cluster analysis. This approach is illustrated for several sets of data, and a likelihood ratio test is developed for judging the significance of differences among the resulting groups.

Citations

• Multiple Range and Multiple F Tests
• Comparing Individual Means in the Analysis of Variance

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