Confidence estimation of a normal mean vector with incomplete data

被引：21

作者：

Krishnamoorthy, K ^{[1
]}

Pannala, MK ^{[1
]}

机构：

[1] Univ SW Louisiana, Dept Math, Lafayette, LA 70504 USA

来源：

CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE | 1999年 / 27卷 / 02期

关键词：

Bonferroni intervals; block-monotone pattern; likelihood-ratio test; missing data; multiple comparison; repeated measurements; Scheffe intervals;

D O I：

10.2307/3315648

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The problem of confidence estimation of a normal mean vector when data on different subsets of response variables are missing is considered. A simple approximate confidence region is proposed when the data matrix is of monotone pattern. Simultaneous inferential procedures based on Scheffe's method and Bonferroni's method are outlined. Further, applications of the results to a repeated measurements model are given. The results are illustrated using a practical example.

引用

页码：395 / 407

页数：13

共 18 条

[1]

Anderson T., 1984, INTRO MULTIVARIATE S

[2] MAXIMUM-LIKELIHOOD ESTIMATES FOR A MULTIVARIATE NORMAL-DISTRIBUTION WHEN SOME OBSERVATIONS ARE MISSING [J].

ANDERSON, TW .

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1957, 52 (278) :200-203

[3]

Bhargava R., 1962, THESIS STANFORD U

[4]

Johnson R A, 2007, Applied Multivariate Statistical Analysis: Pearson New International Edition

[5]

KRISHNAMOORTHY K, 1996, 961 U SW LOUIS DEP M

[6] LARGE-SAMPLE SIGNIFICANCE LEVELS FROM MULTIPLY IMPUTED DATA USING MOMENT-BASED STATISTICS AND AN F-REFERENCE DISTRIBUTION [J].

LI, KH ;

RAGHUNATHAN, TE ;

RUBIN, DB .

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1991, 86 (416) :1065-1073

[7] A TEST OF MISSING COMPLETELY AT RANDOM FOR MULTIVARIATE DATA WITH MISSING VALUES [J].

LITTLE, RJA .

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1988, 83 (404) :1198-1202

[8] MODELING THE DROP-OUT MECHANISM IN REPEATED-MEASURES STUDIES [J].

LITTLE, RJA .

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1995, 90 (431) :1112-1121

[9]

Little RJA., 1987, STAT ANAL MISSING DA

[10] ESTIMATION OF PARAMETERS FROM INCOMPLETE DATA [J].

LORD, FM .

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1955, 50 (271) :870-876

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