What question did this study set out to answer?

To extend multiple range tests, including Duncan's New Multiple Range Test, to evaluate differences among group adjusted means that exhibit non-zero covariances.

March 1, 1957Biometrics

Extension of Multiple Range Tests to Group Correlated Adjusted Means

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To extend multiple range tests, including Duncan's New Multiple Range Test, to evaluate differences among group adjusted means that exhibit non-zero covariances.
Formulated a mathematical extension to Duncan's New Multiple Range Test to accommodate correlated adjusted means.
Determined shortest significant ranges using adjusted standard errors and studentized range values indexed by error degrees of freedom.
Evaluated the generalizability of the adjustment to alternative multiple comparison procedures, including Newman-Keuls and Tukey tests.
Derived a formulation for the shortest significant range that accounts for non-zero covariances among treatment means.
Demonstrated that the extension functions across diverse multiple comparison frameworks without requiring independent treatment groups.

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Implication

Methodological study demonstrates an extension of multiple range tests to correlated adjusted means, indicating broader applicability across complex experimental designs.

Cite This Study

Clyde Young Kramer (1957) studied this question.

synapsesocial.com/papers/6a15d1bd15658026c082cdb3 https://doi.org/10.2307/3001898

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Implication

Methodological study demonstrates an extension of multiple range tests to correlated adjusted means, indicating broader applicability across complex experimental designs.

Extension of Multiple Range Tests to Group Correlated Adjusted Means

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Discussion

Implication

Cite This Study

Extension of Multiple Range Tests to Group Correlated Adjusted Means

Key Points

Discussion

Implication

Cite This Study

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