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Journal of the American Statistical Association Volume 86, 1991 - Issue 414
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Theory and Methods

A Lack-of-Fit Test for the Mean Function in a Generalized Linear Model

John Q. Su Department of Epidemiology and Statistics, Mayo Clinic, Rochester, MN, 55905
&
L. J. Wei Department of Epidemiology and Statistics, Mayo Clinic, Rochester, MN, 55905
Pages 420-426 | Received 01 Dec 1989, Published online: 27 Feb 2012

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WINFRIED STUTE & LI‐XING ZHU. (2002) Model Checks for Generalized Linear Models. Scandinavian Journal of Statistics 29:3, pages 535-545.
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D. Y. Lin, L. J. Wei & Z. Ying. (2004) Model‐Checking Techniques Based on Cumulative Residuals. Biometrics 58:1, pages 1-12.
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Hira L. KoulHira L. Koul. 2002. Weighted Empirical Processes in Dynamic Nonlinear Models. Weighted Empirical Processes in Dynamic Nonlinear Models 414 425 .
Hira L. Koul & Winfried Stute. (1998) Regression model fitting with long memory errors. Journal of Statistical Planning and Inference 71:1-2, pages 35-56.
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Gerhard Arminger. 1995. Handbook of Statistical Modeling for the Social and Behavioral Sciences. Handbook of Statistical Modeling for the Social and Behavioral Sciences 77 183 .

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