1. ON DEPENDENT TESTS FROM NON-ORTHOGONAL DESIGN.
- Author
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Ballas, J. A. and Webster, J. T.
- Subjects
- *
ANALYSIS of variance , *EXPERIMENTAL design , *INCOMPLETE block designs , *CONDITIONAL expectations , *MATHEMATICAL optimization , *PROBABILITY theory , *RANDOM variables , *HYPOTHESIS - Abstract
Tins paper illustrates, through a special case, an effect of non-independent numerators on F-test's in an analysis of variance. Symmetrical balanced incomplete block designs are considered with "blocks" a random effect and no interaction. The joint density of the adjusted sums of squares is determined under the null hypothesis of no treatment effect. Given the result of testing for the block effect, the conditional probability of a Type I error when testing the null hypothesis concerning the treatment effect is evaluated for a number of designs. [ABSTRACT FROM AUTHOR]
- Published
- 1966
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