Tests of Linear Hypotheses When the Data Are Proportions
- 1 June 1963
- journal article
- research article
- Published by American Public Health Association in American Journal of Public Health and the Nations Health
- Vol. 53 (6) , 970-976
- https://doi.org/10.2105/ajph.53.6.970
Abstract
Some alternative tests to that of association are presented that are applicable when the data consist of the proportions of experimental units having a given attribute. In deriving the tests, treatment effects are assumed to be additive on the logit scale. Examples of tests for main effects and interactions are given by analyzing some data presented by Cochran. It is illustrated that once the P''s (the estimated proportions) are obtained under a certain no interaction hypothesis, the maximum likelihood estimates of the parameters in a linear model can be computed without iteration.Keywords
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