Smoothing Parameter Selection for Power Optimality in Testing of Regression Curves

Journal of the American Statistical Association

Volumn 92, Issue 438, 1997, Pages 500-511

  Kulasekera, K B ^a   Wang, J ^a  

^a CLEMSON UNIVERSITY   (United States)

Author keywords

Design variables; Kernel estimator; Nonparametric test

Indexed keywords

EID: 0031496493     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1997.10474003     Document Type: Article

References (14)

1. Cleveland, W. s. (1993), Visualizing Data, Summit, NJ: Hobart Press.
2. Eubank, R. L. (1988), Spline Smoothing and Nonparametric Regression, New York: Marcel Dekker.
3. Eubank, R. L., and Hart, J. D. (1992), "Testing Goodness of Fit in Regression Via Order Selection Criteria," The Annals of Statistics, 20, 14121-425.
4. Fan, J. (1992), "Design-Adaptive Nonparametric Regression," Journal of the American Statistical Association, 87, 998-1004.
5. Hall, P. (1983), "Large-Sample Optimality of Least Squares CrossValidation in Density Estimation," The Annals of Statistics, 11, 1156-1174.
6. Hand, D. J., Daly, F., Lunn, A. D., McConway, K. J., and Ostrowski, E. (1994), Small Data Sets, London: Chapman and Hall.
7. Hall, P., and Hart, J. D. (1990), "Bootstrap Test for Difference Between Means in Nonparametric Regression," Journal of the American Statistical Association, 85, 1039-1049. 511
8. Hall, P., Kay, J. w., and Titterington, D. M. (1990), "Asymptotically Optimal Difference-Based Estimation of Variance in Nonparametric Regression," Biometrika, 77, 521-528.
9. Hardie, w., and Marron, J. S. (1990), "Semiparametric Comparisons of Regression Curves," The Annals of Statistics, 18,63-89.
10. King, E. C. (1988), "A Test for the Equality of Two Regression Curves Based on Kernel Smoothers," unpublished Ph.D. dissertation, Texas A&M University, Dept. of Statistics.
11. King, E. C., Hart, J. D., and Wehrly, T. E. (1991), "Testing the Equality of Two Regression Curves Using Linear Smoothers," Statistics & Probability Letters, 12,239-247.
12. Kulasekera, K. B. (1995), "Testing the Equality of Regression Curves Using Quasi-Residuals," Journal of the American Statistical Association, 90, 1085-1093.
13. Ledwina, T. (1994), "Data-Driven Version of Neyman's Smooth Test of Fit," Journal of the American Statistical Association, 89, 1000-1005.
14. Muller, H.-G. (1987), Nonparametric Regression Analysis of Longitudinal Data, Berlin: Springer-Verlag