Maximum likelihood analysis for heteroscedastic one-way random effects ANOVA in interlaboratory studies

被引：49

作者：

Vangel, MG

Rukhin, AL

机构：

[1] Natl Inst Stand & Technol, Stat Engn Div, Gaithersburg, MD 20899 USA

[2] Univ Maryland, Dept Math & Stat, Catonsville, MD 21228 USA

来源：

BIOMETRICS | 1999年 / 55卷 / 01期

关键词：

collaborative study; hierarchical model; noninformative prior; profile likelihood; weighted mean;

D O I：

10.1111/j.0006-341X.1999.00129.x

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This article presents results for the maximum likelihood analysis of several groups of measurements made on the same quantity. Following Cochran (1937, Journal of the Royal Statistical Society 4(Supple), 102-118; 1954, Biometrics 10, 101-129; 1980, in Proceedings of the 25th Conference on the Design of Experiments in Army Research, Development and Testing, 21-33) and others, this problem is formulated as a one-way unbalanced random-effects ANOVA with unequal within-group variances. A reparametrization of the likelihood leads to simplified computations easier identification and interpretation of multimodality of the likelihood, and (through a non-informative-prior Bayesian approach) approximate confidence regions for the mean and between-group variance.

引用

页码：129 / 136

页数：8

共 17 条

[1]

[Anonymous], HDB APPL MATH

[2]

BEHNKE H, 1974, FUNDAMENTALS MATH, V3

[3]

COCHRAN W. G., 1937, J. Roy. Statist. Soc. 1937., (Suppl.), V4, P102

[4] THE COMBINATION OF ESTIMATES FROM DIFFERENT EXPERIMENTS [J].

COCHRAN, WG .

BIOMETRICS, 1954, 10 (01) :101-129

[5]

COCHRAN WG, 1980, P 25 C DES EXP ARM R, P21

[6]

DICKSON LE, 1939, NEW 1 COURSE THEORY

[7] Interlaboratory comparison of autoradiographic DNA profiling measurements .4. Protocol effects [J].

Duewer, DL ;

Currie, LA ;

Reeder, DJ ;

Leigh, SD ;

Filliben, JJ ;

Liu, HK ;

Mudd, JL .

ANALYTICAL CHEMISTRY, 1997, 69 (10) :1882-1892

[8]

GAVER DP, 1992, COMBINING INFORMATIO

[9]

Gelman A, 2013, BAYESIAN DATA ANAL, DOI DOI 10.1201/9780429258411

[10]

LI BW, 1994, J AOAC INT, V77, P687

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