Estimation of a common mean and weighted means statistics

Journal of the American Statistical Association

Volumn 93, Issue 441, 1998, Pages 303-308

  Rukhin, Andrew L ^a   Vangel, Mark G ^b  

^a UNIVERSITY OF MARYLAND BALTIMORE COUNTY   (United States)

^b NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

Author keywords

Heteroscedasticity; Interlaboratory study; Mandel Paule algorithm; Maximum likelihood estimator; Unbalanced one way analysis of variance model; Variance components

Indexed keywords

EID: 0032349746     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1998.10474111     Document Type: Article

References (15)

1. Cochran, W. G. (1937), "Problems Arising in the Analysis of a Series of Similar Experiments," Journal of the Royal Statistical Society, Supplement, 4, 102-118.
2. Cochran, W. G. (1954), "The Combination of Estimates from Different Experiments," Biometrics, 10, 101-129.
3. Crowder, M. (1992), "Interlaboratory Comparisons: Round Robins With Random Effects," Applied Statistics, 41, 409-425.
4. Hartley, H. O., and Rao, J. N. K. (1977), "Maximum Likelihood Estimation for the Mixed Analysis of Variance Model," Biometrika, 54, 93-108.
5. Harville, D. (1977), "Maximum Likelihood Approaches to Variance Components Estimation and Related Problems," Journal of the American Statistical Association, 72, 320-340.
6. Kiefer, J., and Wolfowitz, J. (1956), "Consistency of the Maximum Likelihood Estimator in the Presence of Infinitely Many Incidental Parameters," Annals of Mathematical Statistics, 27, 887-906.
7. Mandel, J. (1991), Evaluation and Control of Measurements, New York: Marcel Dekker.
8. Mandel, J., and Paule, R. C. (1970), "Interlaboratory Evaluation of a Material With Unequal Number of Replicates," Analytical Chemistry, 42, 1194-1197.
9. Paule, R. C., and Mandel, J. (1982), "Consensus Values and Weighting Factors," Journal of Research of the National Bureau of Standards, 87, 377-385.
10. Rao, P. S. R. S. (1981), "Cochran's Contributions to Variance Component Models for Combining Estimates," in W. G. Cochran's Impact on Statistics, eds. P. Rao and J. Sedransk, New York: Wiley.
11. Rao, P. S. R. S., Kaplan, J., and Cochran, W. G. (1981), "Estimators for the One-Way Random Effects Model With Unequal Error Variances," Journal of th& American Statistical Association, 76, 89-97.
12. Schiller, S., and Eberhardt, K. (1992), "Combining Data From Independent Chemical Analysis Methods," Spectrochimica Acta, 12, 1607-1613.
13. Searle, S., Casella, G., and McCulloch, C. (1992), Variance Components, New York: Wiley.
14. Vangel, M. G., and Rukhin, A. L. (1996), "Maximum Likelihood Analysis for a Series of Similar Experiments," Working Paper WP-1-96, National Institute of Standards and Technology, Statistical Engineering Division.
15. Willie, S., and Berman, S. (1995), "NOAA National Status and Trends Program Ninth Round Intercomparison Exercise Results for Trace Metals in Marine Sediments and Biological Tissues," NOAA Technical Memorandum NOS ORCA 93, U.S. Department of Commerce.