Diagnostics for linear models with functional responses

Technometrics

Volumn 49, Issue 1, 2007, Pages 26-33

  Shen, Qing ^a   Xu, Hongquan ^b  

^a Edmundscom Inc   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Cook's distance; Functional F test; Functional regression analysis; Jackknife residual; Studentized residual

Indexed keywords

COOK'S DISTANCE; FUNCTIONAL F TEST; FUNCTIONAL REGRESSION ANALYSIS; JACKKNIFE RESIDUAL; STUDENTIZED RESIDUAL;

DATA REDUCTION; ERROR ANALYSIS; MATHEMATICAL MODELS; PROGRAM DIAGNOSTICS; REGRESSION ANALYSIS; ROBUSTNESS (CONTROL SYSTEMS);

VECTORS;

EID: 33847691570     PISSN: 00401706     EISSN: None     Source Type: Journal    
DOI: 10.1198/004017006000000444     Document Type: Article

References (15)

1. Box, G. E. P. (1954), "Some Theorems on Quadratic Forms Applied in the Study of Analysis of Variance Problems, I. Effect of Inequality of Variance in the One-Way Classification," The Annals of Mathematical Statistics, 25, 290-302.
2. Eubank, R. L. (2000), "Testing for No Effect by Cosine Series Methods," Scandinavian Journal of Statistics, 27, 747-763.
3. Fan, J., and Lin, S.-K. (1998), "Tests of Significance When Data Are Curves," Journal of the American Statistical Association, 93, 1007-1021.
4. Faraway, J. J. (1997), "Regression Analysis for a Functional Response," Technometrics, 39, 254-261.
5. Imhof, J. P. (1961), "Computing the Distribution of Quadratic Forms in Normal Variables," Biometrika, 48, 419-426.
6. Montgomery, D. C. (2005), Design and Analysis of Experiments (6th ed.), New York: Wiley.
7. Nair, V. N., Taam, W., and Ye, K. Q. (2002), "Analysis of Functional Responses From Robust Design Studies," Journal of Quality Technology, 34, 355-370.
8. Ramsay, J. O., and Dalzell, C. J. (1991), "Some Tools for Functional Data Analysis," Journal of the Royal Statistical Society, Ser. B, 53, 539-572.
9. Ramsay, J. O., and Silverman, B. W. (2002), Applied Functional Data Analysis: Methods and Case Studies, New York: Springer-Verlag.
10. _ (2005), Functional Data Analysis (2nd ed.), New York: Springer-Verlag.
11. Satterthwaite, F. E. (1941), "Synthesis of Variance," Psychometrika, 6, 309-316.
12. _ (1946), "An Approximate Distribution of Estimates of Variance Components," Biometrics Bulletin, 2, 110-114.
13. Sen, A., and Srivastava, M. (1990), Regression Analysis: Theory, Methods, and Applications, New York: Springer-Verlag.
14. Shen, Q., and Faraway, J. (2004), "An F Test for Linear Models With Functional Responses," Statistica Sinica, 14, 1239-1257.
15. Weisberg, S. (1985), Applied Linear Regression (2nd ed.), New York: Wiley.