On Seifert's ANOVA-like test for variance components

Viktor Witkovský

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2000)

  • Volume: 39, Issue: 1, page 249-261
  • ISSN: 0231-9721

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Witkovský, Viktor. "On Seifert's ANOVA-like test for variance components." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 39.1 (2000): 249-261. <http://eudml.org/doc/23692>.

@article{Witkovský2000,
author = {Witkovský, Viktor},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {mixed model; variance components; ANOVA-like test; UMPI test; LBI test; MINQUE},
language = {eng},
number = {1},
pages = {249-261},
publisher = {Palacký University Olomouc},
title = {On Seifert's ANOVA-like test for variance components},
url = {http://eudml.org/doc/23692},
volume = {39},
year = {2000},
}

TY - JOUR
AU - Witkovský, Viktor
TI - On Seifert's ANOVA-like test for variance components
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2000
PB - Palacký University Olomouc
VL - 39
IS - 1
SP - 249
EP - 261
LA - eng
KW - mixed model; variance components; ANOVA-like test; UMPI test; LBI test; MINQUE
UR - http://eudml.org/doc/23692
ER -

References

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  1. Barndorff-Nielsen O. E., Approximate interval probabilities, Journal of the Royal Statistical Society B 52 (1990), 485-486. (1990) Zbl0706.62013MR1086800
  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. (1987) 
  3. Davies R. B., The distribution of a linear combination of chi-square random variables, Applied Statistics 29 (1980), 323-333. (1980) 
  4. Imhof J. P., Computing the distribution of quadratic forms in normal variables, Biometrika 48 (1961), 419-426. (1961) Zbl0136.41103MR0137199
  5. Khuri A. I., Mathew T., Sinha B. K., Statistical Tests for Mixed Linear Models, J. Wiley, New York, 1998. (1998) Zbl0893.62009MR1601351
  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. (1988) Zbl0655.62074MR0942977
  7. Kounen D., Saddlepoint approximations for distributions of quadratic forms in normal variables, Biometrika 86 (1999), 929-935. (1999) MR1741988
  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. (1989) Zbl0735.62068MR1089650
  9. Mathew T., Sinha B. K., Optimum tests in unbalanced two-way models without interactions, The Annals of Statistics 16 (1988), 1727-1740. (1988) MR0964950
  10. Olsen A., Seely J., Birkes D., Invariant quadratic estimation for two variance components, The Annals of Statistics 4 (1976), 878-890. (1976) MR0418345
  11. Rao C. R., Estimation of variance components - MINQUE theory, Journal of Multivariate Analysis 1 (1971), 257-275. (1971) MR0301869
  12. Rao C. R., Kleffe J., Estimation of Variance Components and Applications, North-Holland Publishing Company, Amsterdam, 1988. (1988) Zbl0645.62073MR0933559
  13. Reid N., Saddlepoint methods and statistical inference (with Discussion), Statistical Science 3 (1988), 213-238. (1988) MR0968390
  14. Seifert B., Estimation and test of variance components using the MINQUE - method, Statistics 16 (1985), 621-635. (1985) Zbl0593.62066MR0803502
  15. Seifert B., Testing hypotheses in mixed linear models, Journal of Statistical Planning and Inference 36 (1993), 253-268. (1993) Zbl0778.62019MR1234853
  16. Westfall P. H., Power comparisons for invariant variance ratio tests in mixed ANOVA models, The Annals of Statistics 17 (1989), 318-326. (1989) Zbl0669.62055MR0981453
  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. (1967) MR0224186

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