Previous |  Up |  Next

Article

Title: On Seifert's ANOVA-like test for variance components (English)
Author: Witkovský, Viktor
Language: English
Journal: Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
ISSN: 0231-9721
Volume: 39
Issue: 1
Year: 2000
Pages: 249-261
.
Category: math
.
MSC: 62F03
MSC: 62H10
MSC: 62H15
MSC: 62J10
idZBL: Zbl 1039.62013
idMR: MR1826366
.
Date available: 2009-01-29T15:57:21Z
Last updated: 2012-05-03
Stable URL: http://hdl.handle.net/10338.dmlcz/120413
.
Reference: [1] Barndorff-Nielsen O. E.: Approximate interval probabilities.Journal of the Royal Statistical Society B 52 (1990), 485-486. Zbl 0706.62013, MR 1086800
Reference: [2] Das R., Sinha B. K: Robust optimum invariant unbiased tests for variance components.In: T. Pukkila, S. Puntanen (Eds.): Proceedings of the Second International Tampere Conference in Statistics, University of Tampere, Finland, 1987, 317-342.
Reference: [3] Davies R. B.: The distribution of a linear combination of chi-square random variables.Applied Statistics 29 (1980), 323-333.
Reference: [4] Imhof J. P.: Computing the distribution of quadratic forms in normal variables.Biometrika 48 (1961), 419-426. Zbl 0136.41103, MR 0137199
Reference: [5] Khuri A. I., Mathew T., Sinha B. K.: Statistical Tests for Mixed Linear Models.J. Wiley, New York, 1998. Zbl 0893.62009, MR 1601351
Reference: [6] Kleffe J., Seifert B.: On the role of MINQUE in testing of hypotheses under mixed linear models.Comun. Statist. - Theory Meth. 17 (1988), 1287-1309. Zbl 0655.62074, MR 0942977
Reference: [7] Kounen D.: Saddlepoint approximations for distributions of quadratic forms in normal variables.Biometrika 86 (1999), 929-935. MR 1741988
Reference: [8] Mathew T.: Optimum invariant tests in mixed linear models with two variance components.In: Y. Dodge, (Ed.) Statistical Data Analysis and Inference, North-Holland, Amsterdam, 1989, 381-388. Zbl 0735.62068, MR 1089650
Reference: [9] Mathew T., Sinha B. K.: Optimum tests in unbalanced two-way models without interactions.The Annals of Statistics 16 (1988), 1727-1740. MR 0964950
Reference: [10] Olsen A., Seely J., Birkes D.: Invariant quadratic estimation for two variance components.The Annals of Statistics 4 (1976), 878-890. MR 0418345
Reference: [11] Rao C. R.: Estimation of variance components - MINQUE theory.Journal of Multivariate Analysis 1 (1971), 257-275. MR 0301869
Reference: [12] Rao C. R., Kleffe J.: Estimation of Variance Components and Applications.North-Holland Publishing Company, Amsterdam, 1988. Zbl 0645.62073, MR 0933559
Reference: [13] Reid N.: Saddlepoint methods and statistical inference (with Discussion).Statistical Science 3 (1988), 213-238. MR 0968390
Reference: [14] Seifert B.: Estimation and test of variance components using the MINQUE - method.Statistics 16 (1985), 621-635. Zbl 0593.62066, MR 0803502
Reference: [15] Seifert B.: Testing hypotheses in mixed linear models.Journal of Statistical Planning and Inference 36 (1993), 253-268. Zbl 0778.62019, MR 1234853
Reference: [16] Westfall P. H.: Power comparisons for invariant variance ratio tests in mixed ANOVA models.The Annals of Statistics 17 (1989), 318-326. Zbl 0669.62055, MR 0981453
Reference: [17] Wijsman R. A.: Cross-section of orbits and their applications to densities of maximal invariants.In: Fifth Berkeley Symposium on Mathematical Statistics and Probability, University of California, Berkeley, 1967, 389-400. MR 0224186
.

Files

Files Size Format View
ActaOlom_39-2000-1_18.pdf 1.415Mb application/pdf View/Open
Back to standard record
Partner of
EuDML logo