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THE NUMBER OF NON‐ZERO, POST HOC CONTRASTS FROM ANOVA AND ERROR‐RATE. I
Author(s) -
Rodger R. S.
Publication year - 1975
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1111/j.2044-8317.1975.tb00549.x
Subject(s) - post hoc , mathematics , post hoc analysis , scheffé's method , statistics , zero (linguistics) , limit (mathematics) , constant (computer programming) , analysis of variance , function (biology) , econometrics , mathematical analysis , computer science , linguistics , philosophy , medicine , dentistry , evolutionary biology , biology , programming language
When F m in anova is significant, Scheffé's procedure provides no limit to the number of contrasts which can be declared significant. The new procedure described here provides a limit ( r ) to the number of significant contrasts which can be asserted. If assertions are made for v 1 contrasts, which include r declarations of significance, the expectation of r/v 1 will be a linearly decreasing function of v 1 if traditional critical F values are used. A table is provided of new critical F values which set this expectation at a constant (0.05 or 0.01). The new critical F values are recommended for use whenever contrasts are sought, post hoc , for significance.