Box and Cox power-transformation to confined and censored nonnormal responses in regression

被引:12
作者
Hamasaki, Toshimitsu
Kim, Seo Young
机构
[1] Osaka Univ, Grad Sch Med, Dept Biomed Stat, Suita, Osaka 5650871, Japan
[2] Chonnam Natl Univ, Dept Stat, Kwangju 500757, South Korea
关键词
interval censoring; left/right censoring; quasi EM-algorithm; power-normal distribution; truncation;
D O I
10.1016/j.csda.2006.12.015
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We describe a Box and Cox power-transformation to confined and censored nonnormal responses in regression. We consider the most general situation where responses include four types of observations, i.e., right, left, interval-censored and exactly specified ones. To evaluate the performance of the estimates from the proposed approach, we perform the simulation study with several simple regression models. Also, one real example is given to illustrate some aspects of the approach. Finally, we discuss an application of the approach to discrete and ordered categorical responses. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:3788 / 3799
页数:12
相关论文
共 28 条
[1]  
Benn R. T., 1976, Applied Statistics, V25, P88, DOI 10.2307/2346536
[2]   AN ANALYSIS OF TRANSFORMATIONS REVISITED [J].
BICKEL, PJ ;
DOKSUM, KA .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1981, 76 (374) :296-311
[3]   AN ANALYSIS OF TRANSFORMATIONS [J].
BOX, GEP ;
COX, DR .
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 1964, 26 (02) :211-252
[4]   AN ANALYSIS OF TRANSFORMATIONS REVISITED, REBUTTED [J].
BOX, GEP ;
COX, DR .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1982, 77 (377) :209-210
[5]   MAXIMUM LIKELIHOOD FROM INCOMPLETE DATA VIA EM ALGORITHM [J].
DEMPSTER, AP ;
LAIRD, NM ;
RUBIN, DB .
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-METHODOLOGICAL, 1977, 39 (01) :1-38
[6]  
FRYER JG, 1972, APPL STAT, V21, P142
[7]  
Goto M, 1983, REP STAT APPL RES JU, V30, P8
[8]  
HAMASAKI T, 1998, JAPAN J BEHAVIORMETR, V25, P10
[9]  
HAMASAKI T, 1998, J JAPAN SOC COMPUT S, V11, P95
[10]  
HAMASAKI T, 2005, J JAPAN SOC COMPUT S, V18, P1