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Alternative goodness-of-fit test in logistic regression models

The Deviance and the Pearson chi-square are two traditional goodness-of-fit tests in generalized linear models for which the logistic model is a special case. The effort involved in the computation of either the Deviance or Pearson chi-square statistic is enormous and this provides a reason for pros...

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Published: 2011
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LEADER 00000njm a2000000a 4500
001 oai:repository.ui.edu.ng:123456789/5327
042 |a dc 
720 |a Nja, M. E.  |e author 
720 |a Enang, E. I.  |e author 
720 |a Chukwu, A. U.  |e author 
720 |a Udomboso, C. G.  |e author 
260 |c 2011 
520 |a The Deviance and the Pearson chi-square are two traditional goodness-of-fit tests in generalized linear models for which the logistic model is a special case. The effort involved in the computation of either the Deviance or Pearson chi-square statistic is enormous and this provides a reason for prospecting an alternative goodness-of-fit test in logistic regression models with discrete predictor variables. The Deviance is based on the log likelihood function while the Pearson chi-square derives from the discrepancies between observed and predicted counts. Replacing observed and predicted counts with observed proportions and predicted probabilities, respectively in a cross-classification data arrangement, the standard error of estimate is proposed as an alternative goodness-of-fit test in logistic regression models. The illustrative example returns favourable comparisons with Deviance and the Pearson chi-square statistics. 
024 8 |a 1994-5388 
024 8 |a ui_art_nja_alternative_2011 
024 8 |a Journal of Modern Mathematics and Statistics 5(2), pp. 43-46 
024 8 |a http://ir.library.ui.edu.ng/handle/123456789/5327 
653 |a Deviance 
653 |a Pearson chi-square 
653 |a Standard error 
653 |a Observed proportions 
653 |a Predicted probabilities 
653 |a p value 
653 |a Nigeria 
245 0 0 |a Alternative goodness-of-fit test in logistic regression models