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Volumn 36, Issue 1, 2001, Pages 01-27

Effects of covariance heterogeneity on three procedures for analyzing multivariate repeated measures designs

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EID: 0035590059     PISSN: 00273171     EISSN: None     Source Type: Journal    
DOI: 10.1207/s15327906mbr3601_01     Document Type: Article
Times cited : (26)

References (40)
  • 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
    • 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
  • 3
    • 0032346169 scopus 로고    scopus 로고
    • A power comparison of the Welch-James and improved general approximation tests in the split-plot design
    • Algina, J. & Keselman, H. J. (1998). A power comparison of the Welch-James and Improved General Approximation tests in the split-plot design. Journal of Educational and Behavioral Statistics, 23, 152-169.
    • (1998) Journal of Educational and Behavioral Statistics , vol.23 , pp. 152-169
    • Algina, J.1    Keselman, H.J.2
  • 5
    • 0000695172 scopus 로고
    • The mixed model for multivariate repeated measures: Validity conditions and an approximate test
    • Boik, R. J. (1988). The mixed model for multivariate repeated measures: Validity conditions and an approximate test. Psychometrika, 53, 469-486.
    • (1988) Psychometrika , vol.53 , pp. 469-486
    • Boik, R.J.1
  • 6
    • 0001311957 scopus 로고
    • Scheffé's mixed model for multivariate repeated measures: A relative efficiency evaluation
    • Boik, R. J. (1991). Scheffé's mixed model for multivariate repeated measures: A relative efficiency evaluation. Communication in Statistics-Theory and Methods, 20, 1233-1255.
    • (1991) Communication in Statistics-Theory and Methods , vol.20 , pp. 1233-1255
    • Boik, R.J.1
  • 7
    • 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
  • 8
    • 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
  • 9
    • 0039434096 scopus 로고
    • A Monte Carlo study on the performance of a corrected formula for ε̃ suggested by Lecoutre
    • Chen, S. R. & Dunlap, W. P. (1994). A Monte Carlo study on the performance of a corrected formula for ε̃ suggested by Lecoutre. Journal of Educational Statistics, 19, 119-126.
    • (1994) Journal of Educational Statistics , vol.19 , pp. 119-126
    • Chen, S.R.1    Dunlap, W.P.2
  • 10
    • 0038841409 scopus 로고
    • Four new solutions to the multivariate G-sample Behrens-Fisher problem
    • Columbus, Ohio
    • Coombs, W. T. & Algina, J. (1992). Four new solutions to the multivariate G-sample Behrens-Fisher problem. Paper presented at the meeting of the Psychometric Society, Columbus, Ohio.
    • (1992) Meeting of the Psychometric Society
    • Coombs, W.T.1    Algina, J.2
  • 11
    • 0030536838 scopus 로고    scopus 로고
    • New test statistics for MANOVA/descriptive discriminant analysis
    • Coombs, W. T. & Algina, J. (1996). New test statistics for MANOVA/descriptive discriminant analysis. Educational and Psychological Measurement, 58, 382-402.
    • (1996) Educational and Psychological Measurement , vol.58 , pp. 382-402
    • Coombs, W.T.1    Algina, J.2
  • 13
    • 0000954034 scopus 로고
    • Univariate versus multivariate test in repeated measures experiments
    • Davidson, M. L. (1972). Univariate versus multivariate test in repeated measures experiments. Psychological Bulletin, 77, 446-452.
    • (1972) Psychological Bulletin , vol.77 , pp. 446-452
    • Davidson, M.L.1
  • 14
    • 34250927314 scopus 로고
    • On methods in the analysis of profile data
    • Greenhouse, S. W. & Geisser, S. (1959). On methods in the analysis of profile data. Psychometrika, 24, 95-112
    • (1959) Psychometrika , vol.24 , pp. 95-112
    • Greenhouse, S.W.1    Geisser, S.2
  • 15
    • 70350324949 scopus 로고
    • Robustness of ANOVA and MANOVA test procedures
    • P. R. Krisnaiah (Ed.). New York: North Holland Publishing Company
    • Ito, P. K. (1980). Robustness of ANOVA and MANOVA test procedures. In P. R. Krisnaiah (Ed.). Handbook of Statistics 1: Analysis of Variance. New York: North Holland Publishing Company.
    • (1980) Handbook of Statistics 1: Analysis of Variance
    • Ito, P.K.1
  • 16
    • 0018886163 scopus 로고
    • The Welch-James approximation of the distribution of the residual sum of squares in weighted linear regression
    • Johansen, S. (1980). The Welch-James approximation of the distribution of the residual sum of squares in weighted linear regression. Biometrika, 67, 85-92.
    • (1980) Biometrika , vol.67 , pp. 85-92
    • Johansen, S.1
  • 17
    • 0023563816 scopus 로고
    • A method for comparing profiles of repeated measurements
    • Kenward, M. G. (1987). A method for comparing profiles of repeated measurements. Applied Statistics, 36, 296-308.
    • (1987) Applied Statistics , vol.36 , pp. 296-308
    • Kenward, M.G.1
  • 18
    • 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
  • 19
    • 0009672935 scopus 로고    scopus 로고
    • Analyzing multivariate repeated measures designs when covariance matrices are heterogeneous
    • Keselman, H. J. & Lix, L. M. (1997). Analyzing multivariate repeated measures designs when covariance matrices are heterogeneous. British Journal of Mathematical and Statistical Psychology, 50, 319-338.
    • (1997) British Journal of Mathematical and Statistical Psychology , vol.50 , pp. 319-338
    • Keselman, H.J.1    Lix, L.M.2
  • 22
    • 0000593245 scopus 로고
    • A correction approximate test in repeated measures designs with two or more independent groups
    • Lecoutre, B. (1991). A correction 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
  • 23
    • 0040619405 scopus 로고
    • Procedimientos analiticos para el ajuste de diseños multivariantes de medidas repetidas
    • López, J. J. & Ato, M. (1994). Procedimientos analiticos para el ajuste de diseños multivariantes de medidas repetidas [Analytical procedures to fitting multivariate repeated measures designs]. Psicothema, 6, 447-463.
    • (1994) Psicothema , vol.6 , pp. 447-463
    • López, J.J.1    Ato, M.2
  • 24
    • 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
  • 25
    • 0002224295 scopus 로고
    • A Monte Carlo comparison of the univariate and multivariate methods for the groups by trials repeated measures design
    • Mendoza, J. H., Toothaker, L. E., & Nicewander, W. J. (1974). A Monte Carlo comparison of the univariate and multivariate methods for the groups by trials repeated measures design. Multivariate Behavioral Research, 9, 165-178.
    • (1974) Multivariate Behavioral Research , vol.9 , pp. 165-178
    • Mendoza, J.H.1    Toothaker, L.E.2    Nicewander, W.J.3
  • 27
    • 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
  • 28
    • 0000700219 scopus 로고
    • A Monte Carlo comparison of seven ε-adjustment procedures in repeated measures designs with sample sizes
    • Quintana, S. & Maxwell, S. E. (1994). A Monte Carlo comparison of seven ε-adjustment procedures in repeated measures designs with sample sizes. Journal of Educational Statistics, 19, 57-71.
    • (1994) Journal of Educational Statistics , vol.19 , pp. 57-71
    • Quintana, S.1    Maxwell, S.E.2
  • 29
    • 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.2 PART , pp. 177-180
    • Rao, C.R.1
  • 32
    • 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
  • 33
    • 0040427478 scopus 로고
    • A mixed model for the analysis of variance
    • Scheffé, H. (1956). A mixed model for the analysis of variance. Annals of Mathematical Statistics, 27, 23-36.
    • (1956) Annals of Mathematical Statistics , vol.27 , pp. 23-36
    • Scheffé, H.1
  • 34
    • 0001749810 scopus 로고
    • On the generation of normal random vectors
    • Schuer, E. M. & Stoller, D. S. (1966). On the generation of normal random vectors. Technometrics, 4, 278-280.
    • (1966) Technometrics , vol.4 , pp. 278-280
    • Schuer, E.M.1    Stoller, D.S.2
  • 35
    • 21344476936 scopus 로고
    • Performance of four multivariate tests under variance-covariance heteroscedasticity
    • Tang K. L. & Algina, J. (1993). Performance of four multivariate tests under variance-covariance heteroscedasticity. Multivariate Behavioral Research, 28, 391-405.
    • (1993) Multivariate Behavioral Research , vol.28 , pp. 391-405
    • Tang, K.L.1    Algina, J.2
  • 36
    • 0040619406 scopus 로고    scopus 로고
    • Algunas soluciones aproximadas para diseños split-plot con matrices de covarianza arbitrarias
    • Vallejo, G. & Escudero, J. R. (1998). Algunas soluciones aproximadas para diseños split-plot con matrices de covarianza arbitrarias [Some approximate solutions for split-plot designs with arbitrary covariance matrices]. Qüestiió: Quaderns d'Estadística i Investigació Operativa, 22, 463-486.
    • (1998) Qüestiió: Quaderns D'Estadística i Investigació Operativa , vol.22 , pp. 463-486
    • Vallejo, G.1    Escudero, J.R.2
  • 37
    • 0038841410 scopus 로고    scopus 로고
    • Comparación de la robustez de cuatro pruebas en un diseńo multivariado split-plot
    • Vallejo, G., Fernández, M. P., Fidalgo, A. M., & Escudero, J. R. (1999). Comparación de la robustez de cuatro pruebas en un diseńo multivariado split-plot [Comparative robustness of four test the multivariate split-plot design]. Metodología de las Ciencias del Comportamiento, 1, 1-23.
    • (1999) Metodología de Las Ciencias del Comportamiento , vol.1 , pp. 1-23
    • Vallejo, G.1    Fernández, M.P.2    Fidalgo, A.M.3    Escudero, J.R.4
  • 38
    • 0040026283 scopus 로고    scopus 로고
    • Efectos de la no esfericidad en el análisis de diseños multivariados de medidas repetidas
    • Vallejo, G., Fidalgo, A. M., & Fernández, M. P. (1998). Efectos de la no esfericidad en el análisis de diseños multivariados de medidas repetidas [Effects of nonsphericity in the analysis of multivariate split plot designs]. Anales de Psicología, 14, 249-268.
    • (1998) Anales de Psicología , vol.14 , pp. 249-268
    • Vallejo, G.1    Fidalgo, A.M.2    Fernández, M.P.3
  • 39
    • 0031488799 scopus 로고    scopus 로고
    • Una comparación de enfoques alternativos para el análisis de diseños multivariados de medidas repetidas
    • Vallejo, G. & Menéndez, I. A. (1997). Una comparación de enfoques alternativos para el análisis de diseños multivariados de medidas repetidas [A comparison of alternative approaches to the analysis of multivariate repeated measures designs]. Psicothema, 9, 647-656.
    • (1997) Psicothema , vol.9 , pp. 647-656
    • Vallejo, G.1    Menéndez, I.A.2
  • 40
    • 0000921555 scopus 로고
    • Certain generalizations in the analysis of variance
    • Wilks, S. S. (1932). Certain generalizations in the analysis of variance. Biometrika, 24, 471-494.
    • (1932) Biometrika , vol.24 , pp. 471-494
    • Wilks, S.S.1


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