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1982•Communication in Statistics- Theory and MethodsRequires access

On a goodness of fit test for the logistic model based on score statistics

Charles Brown

Open publisher page 62 citations

Abstract

A goodness of fit test statistic for the univariate logistic response model proposed by Prentice (1976) for quantal response bioassays is described and extended to the multiple regressor. variable situation. The size and power characteristics of the test statistic was found to be adequately described by a chi square variate for sample sizes as small as SO and its power was found to be dependent upon both the sample size and the true underlying response model.

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What this paper is about

A goodness of fit test statistic for the univariate logistic response model proposed by Prentice (1976) for quantal response bioassays is described and extended to the multiple regressor. variable situation. The size and power characteristics of the test statistic was found to be adequately described by a chi square variate for sample sizes as small as SO and its power was found to be dependent upon both the sample size and the true underlying response model.

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OpenAlex reports 62 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A goodness of fit test statistic for the univariate logistic response model proposed by Prentice (1976) for quantal response bioassays is described and extended to the multiple regressor. variable situation. The size and power characteristics of the test statistic was found to be adequately described by a chi square variate for sample sizes as small as SO and its power was found to be dependent upon both the sample size and the true underlying response model.

Key concepts: Goodness of fit, Statistics, Univariate, Statistic, Logistic regression, Mathematics, Test statistic, Sample size determination

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