Weighted estimates of interlaboratory consensus values

Computational Statistics and Data Analysis

Volumn 22, Issue 5, 1996, Pages 471-479

  Piepho, Hans Peter ^a  

^a UNIVERSITY OF KASSEL   (Germany)

Author keywords

ANOVA (within between); Components of variance; Consensus values; Mean squared errors; Unequal sample sizes; Variance heterogeneity; Weighted least squares

Indexed keywords

COMPUTATIONAL METHODS; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; MONTE CARLO METHODS; STATISTICAL METHODS;

AVERAGE OF SQUARED RESIDUALS (ASR) METHOD; CONSENSUS VALUES; INTERLABORATORY EXPERIMENTS;

DATA REDUCTION;

HETEROGENEITY; INTERLABORATORY EXPERIMENT; MONTE CARLO SIMULATION; RESIDUAL ANALYSIS; WEIGHTED ESTIMATE;

EID: 0041540513     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-9473(96)00005-9     Document Type: Article

References (11)

1. Brown, M.B. and A.B. Forsythe, Robust tests for the equality of variances, J. Amer. Statist. Assoc., 69 (1974) 364-367.
2. Deutler, T., Grubbs-type estimators for reproducibility variances in an interlaboratory test study, J. Quality Technol., 23 (1991) 324-333.
3. Grubbs, F.E., On estimation of precision of measuring instruments and product variability, J. Amer. Statist. Assoc., 43 (1948) 243-264.
4. Levene, H., Robust tests for equality of variances, in: I. Olkin, S.G. Ghurye, W. Hoeffding, W.G. Madow and H.B. Mann (Eds.), Contributions to probability and statistics. Essays in honor of Harold Hotelling (Stanford Univ. Press, Stanford, Carolina, 1960) 278-292.
5. Mandel, J., Evaluation and control of measurements (Marcel Dekker, New York, 1991).
6. Mandel, J. and R.C. Paule, Interlaboratory evaluation of material with unequal number of replicates, Analyt. Chem., 42 (1970) 1194-1197.
7. Mandel, J. and R.C. Paule, Consensus values and weighting factors, J. Res. Natl. Bur. Stand., 87 (1982) 377-385.
8. Paule, R.C. and J. Mandel, Consensus values, regressions, and weighting factors, J. Res. Natl. Bur. Stand. Technol., 94 (1989) 197-203.
9. Rao, P.S.R.S., J. Kaplan and W.G. Cochran, Estimators of the one-way random effects model with unequal variances, J. Amer. Statist. Assoc., 76 (1981) 89-97.
10. Searle, S.R., Linear models for unbalanced data (Wiley, New York, 1987).
11. Searle, S.R., G. Casella and C.E. McCulloch, Variance components (Wiley, New York, 1992).