Testing the hypothesis of a generalized linear regression model using nonparametric regression estimation 1

Journal of Statistical Planning and Inference

Volumn 67, Issue 1, 1998, Pages 99-122

  Rodríguez Campos, M Celia ^a   González Manteiga, Wenceslao ^b   Cao, Ricardo ^b  

^a UNIVERSITY OF VIGO   (Spain)

^b NONE

Author keywords

Binary response; Bootstrap; Kernel estimation

Indexed keywords

EID: 0032536638     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-3758(97)00098-0     Document Type: Article

References (16)

1. Agresti, A., 1990. Categorical Data Analysis. Wiley, New York.
2. Azzalini, A., Bowman, A.W., Härdie, W., 1989. On the use of nonparametric regression models. Biometrika 76, 1-11.
3. Copas, J.B., 1983. Plotting p against x. Appl. Statist. 32, 25-31.
4. De Jong, P., 1987. A central limit theorem for generalized quadratic forms. Probab. Theor. Related Fields 75, 261-277.
5. Doksum, K.A., Gasko, M., 1990. On a correspondence between models in binary regression and in survival analysis. Inter. Statist. Rev. 58, 243-252.
6. Eubank, R.L., Hart, J.D., LaRiccia, V.N., 1993. Testing goodness of fit via nonparametric function estimation techniques. Commun. Statist. Theory Meth. 22, 3327-3354.
7. Fahrmeir, L., Kaufmann, H., 1985. Consistency and asymptotic normality of the maximum likelihood estimator in generalized linear models. Ann. Statist. 13, 342-368.
8. González Manteiga, W., Cao, R., 1993. Testing the hypothesis of a general linear model using nonparametric regression estimation. Test 2, 161-188.
9. Härdie, W., Mammen, E., 1993. Comparing nonparametric versus parametric regression fits. Ann. Statist. 21, 1926-1947.
10. Kozek, A.S., 1991. A nonparametric test of fit of a parametric model. J. Mul. Anal. 37, 66-75.
11. Le Cessie, S., van Houwelingen, J.C., 1991. A goodness-of-fit test for binary regression models. Biometrics 47, 1267-1282.
12. Mack, Y.P., Silverman, B.W., 1982. Weak and strong uniform consistency of kernel regression estimates. Z. Wahrsch. Verw. Gebiete 61, 405-415.
13. Nadaraya, E.A., 1964. On estimating regression. Theor. Probab. Appl. 10, 186-190.
14. Silverman, B.W., 1978. Weak and strong uniform consistency of the kernel estimate of a density and its derivatives. Ann. Statist. 6, 177-184.
15. Stute, W., González-Manteiga, W., 1996. NN goodness-of-fit tests for linear models. J. Statist. Planning Inference 53, 75-92.
16. Watson, G.M., 1964. Smooth regression analysis. Sankhyā Ser. A 26, 359-372.