X2 goodness-of-fit tests for polynomial regression

Communications in Statistics Part B: Simulation and Computation

Volumn 27, Issue 1, 1998, Pages 229-258

  Novo, L A Ramil ^a   Gonzalez Manteiga W ^a  

^a UNIVERSITY OF SANTIAGO DE COMPOSTELA   (Spain)

Author keywords

Nonparametric estimation; Regression models

Indexed keywords

EID: 0042710623     PISSN: 03610918     EISSN: None     Source Type: Journal    
DOI: 10.1080/03610919808813477     Document Type: Article

References (18)

1. Buckley, M. J. and Eagleson, G. K. (1988). "An approximation to the distribution of quadratic forms in normal random variables" Austral J. Statist., 30 A, 150-159.
2. Chen, J. C. (1994). "Testing goodness of fit of polynomial models via spline smoothing techniques'" Statist. Probab. Lett., 19, 65-76.
3. Demmler, A. and Reinsch, C. (1975). "Oscillating matrices with spline smoothing functions" Numer. Math., 24, 375-382.
4. Eubank, R. L. (1984). "The hat matrix for smoothing splines" Statist. Probab. Lett., 2, 9-14.
5. Eubank, R. L. and Hart, J. D. (1993). "Commonality of cusum, von Neumann and smoothing-based goodness-of-fit tests" Biometrika, 80, 89-98.
6. Eubank, R. L., Hart, J.D. and LaRiccia, V.N. (1993). "Testing goodness of fit via nonparametric function estimation techniques" Commun. Statist.-Theory Meth., 22(12), 3327-3354.
7. Eubank, R. L. and LaRiccia, V. N. (1993). "Testing for no effect in nonparametric regression" J. Statist. Planning and Inference, 36, 1-14.
8. Eubank, R. L. and Spiegelman, C.H. (1990). "Testing the Goodness of fit of a linear model via nonparametric regression techniques" J. Amer. Statist. Assoc., 85, 387-392.
9. Gasser, T., Sroka, L. and Jennen-Steinmetz, C. (1986). "Residual variance and residual pattern in nonlinear regression" Biometrika, 73, 625-633.
10. González-Manteiga, W. and Cao-Abad, R. (1993). "Testing the hypothesis of a general linear model using nonparametric regression estimation" Test, 2, 161-188.
11. Härdle, W. and Kneip, A. (1981). "Testing a regression model when we have smooth alternatives in mind" Discussion paper, 9, Institut Für Statistik und Ökonometrie, Humboldt University.
12. Härdie, W. and Mammem, E. (1993). "Comparing nonparametric versus parametric regression fits" Ann. Statist., 21, 1926-1947.
13. Priestley, M. B. and Chao M. T. (1972). "Nonparametric function fitting" J. Roy. Sat. Soc., B, 385-392.
14. Seber, G. A. F. (1977). Linear Regression Analysis, New York, Wiley.
15. Silverman, B. W. (1984). "Spline smoothing: the equivalent variable kernel method" Ann. Statist., 12, 898-916.
16. Speckman, P. (1981). "The asymptotic integrated mean square error for smoothing noisy data by splines". Technical Report, Dept. of Mathematics, University of Oregon, Eugene, OR, USA
17. Stute, W. (1984). "Asymptotic normality of nearest neighbor regression functions estimates", Ann. Statist., 12, 917-926.
18. Stute, W. and González-Manteiga, W. (1996). "NN Goodness-of-fit test for linear models" J. Statist. Planning and Inference, 53, 75-92.