메뉴 건너뛰기




Volumn 41, Issue 4, 2006, Pages 549-578

Modified Brown-Forsythe procedure for testing interaction effects in split-plot designs

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33846990511     PISSN: 00273171     EISSN: None     Source Type: Journal    
DOI: 10.1207/s15327906mbr4104_6     Document Type: Article
Times cited : (37)

References (56)
  • 1
    • 21844526218 scopus 로고
    • Some alternative approximate tests for a split-plot design
    • Algina, J. (1994). Some alternative approximate tests for a split-plot design. Multivariate Behavioral Research, 29, 365-384.
    • (1994) Multivariate Behavioral Research , vol.29 , pp. 365-384
    • Algina, J.1
  • 2
    • 0001977068 scopus 로고    scopus 로고
    • Generalization of Improved General Approximation test to split-plot designs with multiple between-subjects factors and or multiple within-subjects factors
    • Algina, J. (1997). Generalization of Improved General Approximation test to split-plot designs with multiple between-subjects factors and or multiple within-subjects factors. British Journal of Mathematical and Statistical Psychology, 50, 243-252.
    • (1997) British Journal of Mathematical and Statistical Psychology , vol.50 , pp. 243-252
    • Algina, J.1
  • 3
    • 0031284998 scopus 로고    scopus 로고
    • Testing repeated measures hypotheses when covariance matrices are heterogeneous: Revisiting the robustness of the Welch-James test
    • Algina, J., & Keselman, H. J. (1997). Testing repeated measures hypotheses when covariance matrices are heterogeneous: Revisiting the robustness of the Welch-James test. Multivariate Behavioral Research, 32, 255-274.
    • (1997) Multivariate Behavioral Research , vol.32 , pp. 255-274
    • Algina, J.1    Keselman, H.J.2
  • 4
    • 85004830148 scopus 로고
    • Type I error rates for Huynh's General Approximation and Improved General Approximation tests
    • Algina, J., & Oshima, T. C. (1994). Type I error rates for Huynh's General Approximation and Improved General Approximation tests. British Journal of Mathematical and Statistical Psychology, 47, 151-165.
    • (1994) British Journal of Mathematical and Statistical Psychology , vol.47 , pp. 151-165
    • Algina, J.1    Oshima, T.C.2
  • 6
    • 0034339545 scopus 로고    scopus 로고
    • Multiple imputation for missing data: A cautionary tale
    • Allison, P. D. (2000). Multiple imputation for missing data: A cautionary tale. Sociological Methods & Research, 28, 301-309.
    • (2000) Sociological Methods & Research , vol.28 , pp. 301-309
    • Allison, P.D.1
  • 7
    • 0034339642 scopus 로고    scopus 로고
    • Bootstrap resampling approaches for repeated measure designs: Relative robustness to sphericity and normality violations
    • Berkovits, I., Hancock, G. R., & Nevitt, J. (2000). Bootstrap resampling approaches for repeated measure designs: Relative robustness to sphericity and normality violations. Educational and Psychological Measurement, 60, 877-892.
    • (2000) Educational and Psychological Measurement , vol.60 , pp. 877-892
    • Berkovits, I.1    Hancock, G.R.2    Nevitt, J.3
  • 8
    • 0000235653 scopus 로고
    • Some theorems on quadratic forms applied in the study of analysis of variance problems, I. Effects of inequality of variance in the one-way classification
    • Box, G. E. P. (1954). Some theorems on quadratic forms applied in the study of analysis of variance problems, I. Effects of inequality of variance in the one-way classification. Annals of Mathematical Statistics, 25, 290-403.
    • (1954) Annals of Mathematical Statistics , vol.25 , pp. 290-403
    • Box, G.E.P.1
  • 10
    • 84952087967 scopus 로고
    • The small sample behavior of some statistics which test the equality of several means
    • Brown, M. B., & Forsythe, A. B. (1974). The small sample behavior of some statistics which test the equality of several means. Technometrics, 16, 129-132.
    • (1974) Technometrics , vol.16 , pp. 129-132
    • Brown, M.B.1    Forsythe, A.B.2
  • 11
    • 0001963735 scopus 로고
    • Generalized least squares estimation in the analysis of covariance structures
    • Browne, M. W. (1974). Generalized least squares estimation in the analysis of covariance structures. South African Statistical Journal, 8, 1-24.
    • (1974) South African Statistical Journal , vol.8 , pp. 1-24
    • Browne, M.W.1
  • 12
    • 0141625672 scopus 로고    scopus 로고
    • A comparison of recent methods for the analysis of small-sample cross-over studies
    • Chen, X., & Wei, L. (2003). A comparison of recent methods for the analysis of small-sample cross-over studies. Statistics in Medicine, 22, 2821-2833.
    • (2003) Statistics in Medicine , vol.22 , pp. 2821-2833
    • Chen, X.1    Wei, L.2
  • 13
    • 34250283902 scopus 로고
    • A method for simulating non-normal distributions
    • Fleishman, A. I. (1978). A method for simulating non-normal distributions. Psychometrika, 43, 521-532.
    • (1978) Psychometrika , vol.43 , pp. 521-532
    • Fleishman, A.I.1
  • 14
    • 0016704147 scopus 로고
    • The best linear unbiased estimation and prediction under a selection model
    • Henderson, C. R. (1975). The best linear unbiased estimation and prediction under a selection model. Biometrics, 31, 423-447.
    • (1975) Biometrics , vol.31 , pp. 423-447
    • Henderson, C.R.1
  • 15
    • 0001092401 scopus 로고
    • Some approximate tests for repeated measurement designs
    • Huynh, H. (1978). Some approximate tests for repeated measurement designs. Psychometrika, 43, 161-165.
    • (1978) Psychometrika , vol.43 , pp. 161-165
    • Huynh, H.1
  • 16
    • 0018886163 scopus 로고
    • The Welch-James approximation to the distribution of the residual sum of squares in a weighted linear regression
    • Johansen, S. (1980). The Welch-James approximation to the distribution of the residual sum of squares in a weighted linear regression. Biometrika, 67, 85-92.
    • (1980) Biometrika , vol.67 , pp. 85-92
    • Johansen, S.1
  • 17
    • 70350184453 scopus 로고
    • Approximations for standard errors of estimators of fixed and random effects in mixed linear models
    • Kackar, R. N., & Harville, D. A. (1984). Approximations for standard errors of estimators of fixed and random effects in mixed linear models. Journal of the American Statistical Association, 79, 853-862.
    • (1984) Journal of the American Statistical Association , vol.79 , pp. 853-862
    • Kackar, R.N.1    Harville, D.A.2
  • 18
    • 0030880605 scopus 로고    scopus 로고
    • Small sample inference for fixed effects from restricted maximum likelihood
    • Kenward, M. G., & Roger, J. H. (1997). Small sample inference for fixed effects from restricted maximum likelihood. Biometrics, 53, 983-997.
    • (1997) Biometrics , vol.53 , pp. 983-997
    • Kenward, M.G.1    Roger, J.H.2
  • 19
    • 0036400744 scopus 로고    scopus 로고
    • A comparison of data analysis strategies for testing omnibus effects in higher-order repeated measures designs
    • Keselman, H. J., Algina, J., & Kowalchuk, R. K. (2002). A comparison of data analysis strategies for testing omnibus effects in higher-order repeated measures designs. Multivariate Behavioral Research, 37, 331-357.
    • (2002) Multivariate Behavioral Research , vol.37 , pp. 331-357
    • Keselman, H.J.1    Algina, J.2    Kowalchuk, R.K.3
  • 21
    • 0007019292 scopus 로고    scopus 로고
    • The analysis of repeated measurements: A comparison of mixed-model Satterthwaite F tests and a nonpooled adjusted degrees of freedom multivariate test
    • Keselman, H. J., Algina, J., Kowalchuk, R. K., & Wolfinger, R. D. (1999). The analysis of repeated measurements: A comparison of mixed-model Satterthwaite F tests and a nonpooled adjusted degrees of freedom multivariate test. Communications in Statistics-Theory and Methods, 28, 2967-2999.
    • (1999) Communications in Statistics-Theory and Methods , vol.28 , pp. 2967-2999
    • Keselman, H.J.1    Algina, J.2    Kowalchuk, R.K.3    Wolfinger, R.D.4
  • 22
    • 0034339715 scopus 로고    scopus 로고
    • Testing repeated measures hypotheses when covariance matrices are heterogeneous: Revisiting the robustness of the Welch-James test again
    • Keselman, H. J., Algina, J., Wilcox, R. K., & Kowalchuk, R. K. (2000). Testing repeated measures hypotheses when covariance matrices are heterogeneous: Revisiting the robustness of the Welch-James test again. Educational and Psychological Measurement, 60, 925-938.
    • (2000) Educational and Psychological Measurement , vol.60 , pp. 925-938
    • Keselman, H.J.1    Algina, J.2    Wilcox, R.K.3    Kowalchuk, R.K.4
  • 23
    • 0001673694 scopus 로고
    • Testing repeated measures hypotheses when covariance matrices are heterogeneous
    • Keselman, H. J., Carriere, M. C., & Lix, L. M. (1993). Testing repeated measures hypotheses when covariance matrices are heterogeneous. Journal of Educational Statistics, 18, 305-319.
    • (1993) Journal of Educational Statistics , vol.18 , pp. 305-319
    • Keselman, H.J.1    Carriere, M.C.2    Lix, L.M.3
  • 24
    • 0038845442 scopus 로고    scopus 로고
    • An examination of the robustness of the Empirical Bayes and other approaches for testing main and interaction effects in repeated measures designs
    • Keselman, H. J., Kowalchuk, R. K., & Boik, R. J. (2000). An examination of the robustness of the Empirical Bayes and other approaches for testing main and interaction effects in repeated measures designs. British Journal of Mathematical and Statistical Psychology, 53, 51-67.
    • (2000) British Journal of Mathematical and Statistical Psychology , vol.53 , pp. 51-67
    • Keselman, H.J.1    Kowalchuk, R.K.2    Boik, R.J.3
  • 27
    • 0347533866 scopus 로고    scopus 로고
    • Modified Nel and Van der Merwe test for the multivariate Behrens-Fisher problem
    • Krishnamoorthy, K., & Yu, J. (2004). Modified Nel and Van der Merwe test for the multivariate Behrens-Fisher problem. Statistics & Probability Letters, 66, 161-169.
    • (2004) Statistics & Probability Letters , vol.66 , pp. 161-169
    • Krishnamoorthy, K.1    Yu, J.2
  • 29
    • 0000593245 scopus 로고
    • A correction for the ε approximate test in repeated measures designs with two or more independent groups
    • Lecoutre, B. (1991). A correction for the ε approximate test in repeated measures designs with two or more independent groups. Journal of Educational Statistics, 16, 371-372.
    • (1991) Journal of Educational Statistics , vol.16 , pp. 371-372
    • Lecoutre, B.1
  • 30
    • 1542338578 scopus 로고    scopus 로고
    • Analysis of unbalanced mixed model data: A case study comparison of ANOVA versus REML/GLS
    • Littell, R. C. (2002). Analysis of unbalanced mixed model data: A case study comparison of ANOVA versus REML/GLS. Journal of Agricultural, Biological, and Environmental Statistics, 7, 472-490.
    • (2002) Journal of Agricultural, Biological, and Environmental Statistics , vol.7 , pp. 472-490
    • Littell, R.C.1
  • 31
    • 0842346705 scopus 로고    scopus 로고
    • Analysing multivariate repeated measures designs: A comparison of two approximate degrees of freedom procedures
    • Lix, L. M., Algina, J., & Keselman, H. J. (2003). Analysing multivariate repeated measures designs: A comparison of two approximate degrees of freedom procedures. Multivariate Behavioral Research, 38, 403-431.
    • (2003) Multivariate Behavioral Research , vol.38 , pp. 403-431
    • Lix, L.M.1    Algina, J.2    Keselman, H.J.3
  • 32
    • 0031376292 scopus 로고    scopus 로고
    • Improving the Brown-Forsythe solution to the generalized Behrens- Fisher problem
    • Mehrotra, D. V. (1997). Improving the Brown-Forsythe solution to the generalized Behrens- Fisher problem. Communications in Statistics-Simulation and Computation, 26, 1139-1145.
    • (1997) Communications in Statistics-Simulation and Computation , vol.26 , pp. 1139-1145
    • Mehrotra, D.V.1
  • 33
    • 0001570535 scopus 로고
    • On the Behrens-Fisher problem
    • Mehta, J. S., & Srinivasan, R. S. (1970). On the Behrens-Fisher problem. Biometrika, 57, 649-655.
    • (1970) Biometrika , vol.57 , pp. 649-655
    • Mehta, J.S.1    Srinivasan, R.S.2
  • 34
    • 24944432775 scopus 로고
    • The unicorn, the normal curve, and other improbable creatures
    • Micceri, T. (1989). The unicorn, the normal curve, and other improbable creatures. Psychological Bulletin, 92, 778-785.
    • (1989) Psychological Bulletin , vol.92 , pp. 778-785
    • Micceri, T.1
  • 35
    • 0001197393 scopus 로고
    • On matrix differentiation in statistics
    • Nel, D. G. (1980). On matrix differentiation in statistics. South African Statistical Journal, 14, 137-193.
    • (1980) South African Statistical Journal , vol.14 , pp. 137-193
    • Nel, D.G.1
  • 36
    • 0040455056 scopus 로고    scopus 로고
    • Tests for equality of parameter matrices in two multivariate linear models
    • Nel, D. G. (1997). Tests for equality of parameter matrices in two multivariate linear models. Journal of Multivariate Analysis, 61, 29-37.
    • (1997) Journal of Multivariate Analysis , vol.61 , pp. 29-37
    • Nel, D.G.1
  • 38
    • 84919348797 scopus 로고
    • Comparative robustness of six tests in multivariate analysis of variance
    • Olson, C. L. (1974). Comparative robustness of six tests in multivariate analysis of variance. Journal of the American Statistical Association, 69, 894-908.
    • (1974) Journal of the American Statistical Association , vol.69 , pp. 894-908
    • Olson, C.L.1
  • 39
    • 0000061682 scopus 로고
    • An asymptotic expansion of the distribution of Wilks's criterion
    • Rao, C. R. (1951). An asymptotic expansion of the distribution of Wilks's criterion. Bulletin of the International Statistical Institute, 33, Part 2, 177-180.
    • (1951) Bulletin of the International Statistical Institute , vol.33 , Issue.PART 2 , pp. 177-180
    • Rao, C.R.1
  • 44
    • 33846956385 scopus 로고    scopus 로고
    • SAS Institute Inc, 2001, SAS/STAT software: Version 8.2 TS2M0, Cary, NC: Author
    • SAS Institute Inc. (2001). SAS/STAT software: Version 8.2 (TS2M0). Cary, NC: Author.
  • 45
    • 0000841881 scopus 로고
    • Synthesis of variance
    • Satterthwaite, F. E. (1941). Synthesis of variance. Psychometrika, 6, 309-316.
    • (1941) Psychometrika , vol.6 , pp. 309-316
    • Satterthwaite, F.E.1
  • 47
    • 0842272144 scopus 로고
    • Simulating multivariate non-normal distributions
    • Vale, C. D., & Maurelli, V. A. (1983). Simulating multivariate non-normal distributions. Psychometrika, 48, 465-471.
    • (1983) Psychometrika , vol.48 , pp. 465-471
    • Vale, C.D.1    Maurelli, V.A.2
  • 48
    • 31944451469 scopus 로고    scopus 로고
    • A comparison of the bootstrap-F, improved general approximation and Brown-Forsythe multivariate approaches in a mixed repeated measures design
    • Vallejo, G., Cuesta, M., Fernández, P., & Herrero, J. (2006). A comparison of the bootstrap-F, improved general approximation and Brown-Forsythe multivariate approaches in a mixed repeated measures design. Educational and Psychological Measurement, 66, 35-62.
    • (2006) Educational and Psychological Measurement , vol.66 , pp. 35-62
    • Vallejo, G.1    Cuesta, M.2    Fernández, P.3    Herrero, J.4
  • 49
    • 24944561546 scopus 로고    scopus 로고
    • Alternative procedures for testing fixed effects in repeated measures designs when assumptions are violated
    • Vallejo, G., Fernández, P., Herrero, J., & Conejo, N. (2004). Alternative procedures for testing fixed effects in repeated measures designs when assumptions are violated. Psicothema, 16, 498-508.
    • (2004) Psicothema , vol.16 , pp. 498-508
    • Vallejo, G.1    Fernández, P.2    Herrero, J.3    Conejo, N.4
  • 50
    • 0035590059 scopus 로고    scopus 로고
    • Effects of covariance heterogeneity on three procedures for analysing multivariate repeated measures designs
    • Vallejo, G., Fidalgo, A. M., & Fernández, P. (2001). Effects of covariance heterogeneity on three procedures for analysing multivariate repeated measures designs. Multivariate Behavioral Research, 36, 1-27.
    • (2001) Multivariate Behavioral Research , vol.36 , pp. 1-27
    • Vallejo, G.1    Fidalgo, A.M.2    Fernández, P.3
  • 51
    • 27844495717 scopus 로고    scopus 로고
    • A comparison of two procedures for analyzing small sets of repeated measures data
    • Vallejo, G., & Livacic-Rojas, P. (2005). A comparison of two procedures for analyzing small sets of repeated measures data. Multivariate Behavioral Research, 40, 179-205.
    • (2005) Multivariate Behavioral Research , vol.40 , pp. 179-205
    • Vallejo, G.1    Livacic-Rojas, P.2
  • 52
    • 33747824805 scopus 로고    scopus 로고
    • A SAS/IML program for implementing the modified Brown-Forsythe procedure in repeated measures designs
    • Vallejo, G., Moris, J., & Conejo, N. (2006). A SAS/IML program for implementing the modified Brown-Forsythe procedure in repeated measures designs. Computer Methods & Programs in Biomedicine, 83, 169-177.
    • (2006) Computer Methods & Programs in Biomedicine , vol.83 , pp. 169-177
    • Vallejo, G.1    Moris, J.2    Conejo, N.3
  • 53
    • 84985640664 scopus 로고
    • Three multiple comparison procedures for trimmed means
    • Wilcox, R. R. (1995). Three multiple comparison procedures for trimmed means. Biometrical Journal, 37, 643-656.
    • (1995) Biometrical Journal , vol.37 , pp. 643-656
    • Wilcox, R.R.1
  • 55
    • 0001146516 scopus 로고
    • An approximate degrees of freedom solution to the multivariate Behrens-Fisher problem
    • Yao, Y. (1965). An approximate degrees of freedom solution to the multivariate Behrens-Fisher problem. Biometrika, 52, 139-147.
    • (1965) Biometrika , vol.52 , pp. 139-147
    • Yao, Y.1
  • 56
    • 0011875126 scopus 로고    scopus 로고
    • Parametric modeling of growth curve data: An overview (with comments)
    • Zimmerman, D. L., & Núñez-Antón, V. (2001). Parametric modeling of growth curve data: An overview (with comments). Test, 10, 1-73.
    • (2001) Test , vol.10 , pp. 1-73
    • Zimmerman, D.L.1    Núñez-Antón, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.