Covariate-matched one-sided tests for the difference between functional means

Journal of the American Statistical Association

Volumn 92, Issue 439, 1997, Pages 1074-1083

  Hall, Peter ^a   Huber, Catherine ^b   Speckman, Paul L ^c  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^b UNIVERSITÉ PARIS DESCARTES   (France)

^c UNIVERSITY OF MISSOURI   (United States)

Author keywords

Bootstrap; Density estimation; Interpolation; Kernel methods; Nonparametric regression; Treatment effect

Indexed keywords

EID: 21744443912     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1997.10474063     Document Type: Article

References (41)

1. Azzalini, A, and Bowman, A.W. (1993), "On the use of Nonparametric Regression for Checking Linear Relationships," Journal of the Royal Statistical Society, Ser. B, 55, 549-557.
2. Azzalini, A, Bowman, AW., and Hardie, W. (1989), "On the Use of NonParametric Regression for Model Checking,"Biometrika, 76, 1-11.
3. Bhattacharya, P. K, and Muller, H.-G.(1993), "Asymptotics for Nonparametric Regression,"Sankhya, 55, 420-441.
4. Buckley, M. J., and Eagleson, G. K(1989), "A Graphical Method for Estimating the Residual Variance in Nonparametric Regression,"Biometrika, 76, 203-210.
5. Buckley, M. J., Eagleson, G. K., and Silverman, B. W.(1988), "A Graphical Method for Estimating Residual Variance in Nonparametric Regression,"Biometrika, 75, 189-199.
6. Carter, C. K, and Eagleson, G. K(1992), "A Comparison of Variance Estimators in Nonparametric Regression," Journal of the Royal Statistical Society, Ser. B, 54, 773-780.
7. Cox, D. D., and Koh, E. (1989), "A Smoothing Spline Test of Model Adequacy in Polynomial Regression," Annals of the Institute of Statistical Mathematics, 14, 383-400.
8. Cox, D. D., Koh, E., Wahba, G., and Yandell, B. S.(1988), "Testing the (Parametric) Null Hypothesis in (Semiparametric) Partial and Generalized Spline Models,"The Annals of Statistics, 16, 113-119.
9. David, H. A.(1981), Order Statistics (2nd ed.), New York: Wiley.
10. Degroot, M. H.(1980), "Optimal Matching: A Survey," in Symposia Mathematica XXV, Instituto Nazionale di Alta Matematica, Francesco Saveri, Roma, New York: Academic Press, pp. 123-135.
11. Degroot, M. H. (1987), "Record Linkage and Matching Systems," in Encyclopedia of Statistical Sciences 7, eds S. Kotz and N. L. Johnson, New York: Wiley, pp. 649-654.
12. Eubank, R. L., and Lariccia, V. N.(1993), ''Testing for No Effect in Nonparametric Regression,"Journal of Statistical Planning and Inference,36, 1-14.
13. Eubank, R.L., and Spiegelman, C. H.(1990), "Testing the Goodness of Fit of a Linear Model via Nonparametric Regression Techniques,"Journal of the American Statistical Association, 85, 387-392.
14. Fan, Y., and Gencay, R.(1993), "Hypothesis Testing Based on Modified Nonparametric Estimation of Affinity Measure Between Two Distributions,"Journal of Nonparametric Statistics, 2, 389-403.
15. Gasser, T., and Miiller, H.-J.(1979), "Kernel Estimation of Regression Functions," in Smoothing Techniques for Curve Estimation, Lecture Notes in Mathematics 757, eds. T. Gasser and M. Rosenblatt, Heidelberg: Springer, pp. 23-698.
16. Gasser, T., Sroka, L., and Jennen-Steinmetz, C. (1986), "Residual Variance and Residual Pattern in Nonlinear Regression,"Biometrika, 73, 625-633.
17. Gu, C.(1992), "Diagnostics for Nonparametric Regression Models With Additive Terms,"Journal of the American Statistical Association, 87,1051-1058.
18. Hardie, W., and Mammen, E.(1993), "Comparing Nonparametric Versus Parametric Regression Fits,"The Annals of Statistics, 21, 1926-1947.
19. Hardle, W., and Marron, J. S.(1990), "Semiparametric Comparison of Regression Curves,"The Annals of Statistics, 18,63-89.
20. Hall, P.(1992), The Bootstrap and Edgeworth Expansion, New York: Springer.
21. 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.
22. Hall, P., Kay, J. w., and Titterington, D. M.(1990), "Asymptotically Optimal Difference-Based Estimation of Variance in Nonparametric Regression,"Biometrika, 77, 521-528.
23. Hall, P., and Turlach, B. A.(1995), "Enhancing Convolution and Interpolation Methods for Nonparametric Regression," unpublished manuscript.
24. Heckman, N.(1986), "Spline Smoothing in a Partly Linear Model,"Journal of the Royal Statistical Society, Ser. B, 48, 244-248.
25. King, E.(1989), "A Test for the Equality of Two Regression Curves Based on Kernel Smoothers,' unpublished PhD dissertation, Texas A & M University, Dept. of Statistics.
26. King, E. (1991), ''Testing the Equality of Two Regression Curves Using Linear Smoothers,'Statistics and Probability Letters, 12, 239-247.
27. Mahalanobis, P. C.(1958), "A Method of Fractile Graphical Analysis With Some Surmises of Results,"Transactions of the Bose Institute, XXII,223-230.
28. Mahalanobis, P. C. (1960), "A Method of Fractile Graphical Analysis,"Econometrica,28, 325-351.
29. Miiller, H.-G.(1988), Nonparametric Regression Analysis of Longitudinal Data, Lecture Notes in Statistics46, New York: Springer.
30. Miiller, H.-G. (1993), "Goodness-of-Fit Diagnostics for Regression Models,"Scandinavian Journal of Statistics, 19, 157-172.
31. Petrov, V. V.(1975), Sums of Independent Random Variables, New York: Springer.
32. Raz, J.(1990), ''Testing for No Effect When Estimating a Smooth Function by Nonparametric Regression: A Randomization Approach,"Journal of the American Statistical Association, 85, 132-138.
33. Rilestone, P.(1991), "Nonparametric Hypothesis Testing With Parametric Rates of Convergence,"International Economic Review, 32, 209-227.
34. Rodgers, W. L.(1984), "An Evaluation of Statistical Matching,"Journal of Business and Economic Statistics, 2, 91-102.
35. Rubin, D. B.(1986), "Statistical Matching Using File Concatenation With Adjusted Weights and Multiple Imputations,"Journal of Business and Economic Statistics, 4, 87-94.
36. Ruppert, D., and Wand, M. P.(1994), "Multivariate Locally Weighted Least Squares Regression,"Annals of Statistics, 22, 1346-1370.
37. Seifert, B., Gasser, T., and Wolf, A.(1993), "Nonparametric Estimation of Residual Variance Revisited:'Biometrika, 80, 373-383.
38. Simonoff, J. S., and Tsai, C.-L.(1991), "Assessing Influence of Individual Observations on a Goodness-of-Fit Test Based on Nonparametric Regression,"Statistics and Probability Letters, 12,9-17.
39. Speckman, P.(1988), "Kernel Smoothing in Partial Linear Models,"Journal of the Royal Statistical Society, Ser. B, 50, 413-436.
40. Taniguchi, M., and Kondo, M.(1993), "Nonparametric Approach in Time Series Analysis,"Journal of Time Series Analysis, 14, 397-408.
41. Tsutakawa, R., and Hewett, J.(1977), "Quick Test for Comparing Two Populations With Bivariate Data,"Biometrics, 33, 215-219.