Testing lattice conditional independence models based on monotone missing data

被引：3

作者：

Wu, L

Perlman, MD

机构：

[1] Harvard Univ, Sch Publ Hlth, Dept Biostat, Boston, MA 02115 USA

[2] Univ Washington, Dept Stat, Seattle, WA 98195 USA

来源：

STATISTICS & PROBABILITY LETTERS | 2000年 / 50卷 / 02期

关键词：

likelihood ratio test; multivariate normal data; restricted maximum likelihood estimates;

D O I：

10.1016/S0167-7152(00)00098-5

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：

Lattice conditional independence (LCI) models (Anderson and Perlman, 1991. Statist. Probab. Lett. 12, 465-486; 1993 Ann. Statist. 21, 1318-1358) can be applied to the analysis of missing data problems with non-monotone missing patterns. Closed-form maximum likelihood estimates can always be obtained under the LCI models naturally determined by the observed data patterns. In practice, it is important to test the appropriateness of LCI models. In the present paper, we derive explicit likelihood ratio tests for testing LCI models based on a monotone subset of the observed data. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：193 / 201

页数：9

共 14 条

[1] MAXIMUM-LIKELIHOOD ESTIMATES FOR A MULTIVARIATE NORMAL-DISTRIBUTION WHEN SOME OBSERVATIONS ARE MISSING
ANDERSON, TW
[J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1957, 52 (278) : 200 - 203
[2] TESTING LATTICE CONDITIONAL-INDEPENDENCE MODELS
ANDERSSON, SA
PERLMAN, MD
[J]. JOURNAL OF MULTIVARIATE ANALYSIS, 1995, 53 (01) : 18 - 38
[3] LATTICE-ORDERED CONDITIONAL-INDEPENDENCE MODELS FOR MISSING DATA
ANDERSSON, SA
PERLMAN, MD
[J]. STATISTICS & PROBABILITY LETTERS, 1991, 12 (06) : 465 - 486
[4] LATTICE MODELS FOR CONDITIONAL-INDEPENDENCE IN A MULTIVARIATE NORMAL-DISTRIBUTION
ANDERSSON, SA
PERLMAN, MD
[J]. ANNALS OF STATISTICS, 1993, 21 (03) : 1318 - 1358
[5] DIEBOLT J, 1997, J ROY STAT SOC B MET, V59, P511
[6] Little RJA, 1987, Statistical Analysis With Missing Data
[7] McLachlan G. J., 1997, EM ALGORITHM EXTENSI
[8] MURRAY GD, 1977, J ROY STAT SOC B MET, V39, P1
[9] NEUMAN J, 1949, S MATH STAT PROB BER, P239
[10] CHARACTERIZING ESTIMATION OF PARAMETERS IN INCOMPLETE-DATA PROBLEMS
RUBIN, DB
[J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1974, 69 (346) : 467 - 474

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