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A NOTE ON HOSMER-LEMESHOW TEST IN LOGISTIC MODELS
Keywords:
binary response model, maximum likelihood estimate, Newton-Raphson methodDOI:
https://doi.org/10.17654/0972086322003Abstract
Hosmer-Lemeshow test in computing goodness of fit in logistic regression is revisited. Two different approaches in grouping are investigated. Fallacy of the original data arrangement is pointed out. Randomization of data is implemented in both the grouping methods and a decision process is suggested.
Received: January 25, 2022
Accepted: March 16, 2022
References
B. P. Barthel and M. Rahman, Comparing contingency table tests in logistic regression using bootstrap sampling, Advances and Applications in Statistics 30(1) (2012), 45-75.
D. R. Cox and E. J. Snell, Analysis of Binary Data, 2nd ed., Chapman and Hall, London, UK, 1989.
H. C. Hein, W. A. Baumann and M. Rahman, An application of logistic regression in estimation and in prediction, Pakistan Journal of Statistics 20(1) (2004), 37-47.
D. W. Hosmer and S. Lemeshow, A goodness-of-fit test for the multiple logistic regression model, Communications in Statistics 10 (1980), 1043-1069.
D. W. Hosmer and S. Lemeshow, A comparison of goodness-of-fit tests for the logistic regression model, Stat. Med. 16 (1997), 965-980.
D. W. Hosmer and S. Lemeshow, Applied Logistic Regression, Wiley, New York, 1989.
D. W. Hosmer and S. Lemeshow, Applied Logistic Regression, 2nd ed., Wiley, New York, 2000.
P. McCullagh and J. A. Nelder, Generalized Linear Models, 2nd ed., Chapman and Hall, New York, 1989.
D. A. Powers and Y. Xie, Statistical Methods for Categorical Data Analysis, Academic Press, London, UK, 2000.
M. Rahman, J. Cortes, R. Hanshew and C. Pardis, A note on logistic regression, Journal of Statistics and Management Systems 4(2) (2001), 175-187.
M. Rahman and S. M. Muraduzzaman, Contingency table tests in logit models, Journal of Applied Statistical Science 18(4) (2011), 521-533.
F. L. Ramsey and D. W. Schafer, The Statistical Sleuth: A Course in Methods of Data Analysis, 2nd ed., Duxbury Press, Pacific Grove, CA, 2002.
T. P. Ryan, Modern Regression Methods, Wiley, New York, 1997.
J. S. Siminoff, Logistic regression, categorical predictors, and goodness-of-fit: it depends on who you ask, Amer. Statist. 52(1) (1998), 10-14.
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