Sufficient dimension reduction in regressions with categorical predictors

Annals of Statistics

Volumn 30, Issue 2, 2002, Pages 475-497

  Chiaromonte, Francesca ^a   Cook, R Dennis ^b   Li, Bing ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF MINNESOTA   (United States)

Author keywords

Central subspace; Graphics; SAVE; SIR; Visualization

Indexed keywords

EID: 0036278223     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1021379862     Document Type: Article

References (16)

1. CARROLL, R. J. and Li, K.-C. (1995). Binary regressors in dimension reduction models: A new look at treatment comparisons. Statist. Sinica 5 667-688.
2. CHIAROMONTE, F. and COOK, R. D. (2002). Sufficient dimension reduction and graphics in regression. Ann. Inst. Statist. Math. To appear.
3. COOK, R. D. (1998). Regression Graphics. Wiley, New York.
4. COOK, R. D. and CRITCHLEY, F. (2000). Identifying regression outliers and mixtures graphically. J. Amer. Statist. Assoc. 95 781-794.
5. COOK, R. D. and WEISBERG, S. (1991). Discussion of "Sliced inverse regression for dimension reduction." J. Amer. Statist. Assoc. 86 328-332.
6. COOK, R. D. and WEISBERG, S. (1994). An Introduction to Regression Graphics. Wiley, New York.
7. COOK, R. D. and WEISBERG, S. (1999a). Graphics in statistical analysis: Is the medium the message? Amer. Statist. 53 29-37.
8. COOK, R. D. and WEISBERG, S. (1999b). Applied Regression Including Computing and Graphics. Wiley, New York.
9. DAWID, A. P. (1979). Conditional independence in statistical theory (with discussion). J. Roy. Statist. Soc. Ser. B 411-31.
10. EATON, M. L. and TYLER, D. E. (1994). The asymptotic distribution of singular values with applications to canonical correlations and correspondence analysis. J. Multivariate Anal. 50 238-264.
11. Li, K.-C. (1991). Sliced inverse regression for dimension reduction (with discussion). J Amer. Statist. Assoc. 86 316-342.
12. Li, K.-C. (1992). On principal Hessian directions for data visualization and dimension reduction: Another application of Stein's lemma. J. Amer. Statist. Assoc. 87 1025-1039.
13. Li, K.-C. and DUAN, N. (1989). Regression analysis under link violation. Ann. Statist. 17 1009-1052.
14. NEVILL, A. M. and HOLDER, R. L. (1995). Body mass index: A measure of fatness or leanness? British Journal of Nutrition 73 507-516.
15. SCHOTT, J. (1994). Determining the dimensionality in sliced inverse regression. J. Amer. Statist. Assoc. 89 141-148.
16. VELILLA, S. (1998). Assessing the number of linear components in a general regression problem. J. Amer. Statist. Assoc. 93 1088-1098.