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Volumn 37, Issue 2, 2002, Pages 197-226

Multivariate aligned rank test for interactions in multiple group repeated measures designs

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EID: 0036059686     PISSN: 00273171     EISSN: None     Source Type: Journal    
DOI: 10.1207/S15327906MBR3702_02     Document Type: Article
Times cited : (33)

References (67)
  • 2
    • 21344499236 scopus 로고
    • Fully nonparametric hypotheses for factorial designs I: Multivariate repeated-measures designs
    • Akritas, M. G. & Arnold, S. F. (1994). Fully nonparametric hypotheses for factorial designs I: Multivariate repeated-measures designs. Journal of the American Statistical Association, 89, 336-343.
    • (1994) Journal of the American Statistical Association , vol.89 , pp. 336-343
    • Akritas, M.G.1    Arnold, S.F.2
  • 3
    • 0008736584 scopus 로고
    • Approximations for the distribution of a maximal pairwise t in some repeated measures designs
    • Alberton, Y. & Hochberg, Y. (1984). Approximations for the distribution of a maximal pairwise t in some repeated measures designs. Communications in Statistics: Theory and Method, 13A, 2847-2854.
    • (1984) Communications in Statistics: Theory and Method , vol.13 A , pp. 2847-2854
    • Alberton, Y.1    Hochberg, Y.2
  • 4
    • 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
    • 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 & Statistical Psychology, 47, 151-165.
    • (1994) British Journal of Mathematical & Statistical Psychology , vol.47 , pp. 151-165
    • Algina, J.1    Oshima, T.C.2
  • 7
    • 0034376181 scopus 로고    scopus 로고
    • Nonparametric tests for analyzing interactions among intra-block ranks in multiple group repeated measures designs
    • Beasley, T. M. (2000). Nonparametric tests for analyzing interactions among intra-block ranks in multiple group repeated measures designs. Journal of Educational and Behavioral Statistics, 25, 20-59.
    • (2000) Journal of Educational and Behavioral Statistics , vol.25 , pp. 20-59
    • Beasley, T.M.1
  • 11
    • 0001178319 scopus 로고
    • A priori tests in repeated measures designs: Effects of nonsphericity
    • Boik, R. J. (1981). A priori tests in repeated measures designs: Effects of nonsphericity. Psychometrika, 46, 241-255.
    • (1981) Psychometrika , vol.46 , pp. 241-255
    • Boik, R.J.1
  • 12
    • 0012816882 scopus 로고
    • The analysis of two-factor interactions in fixed effects linear models
    • Boik, R. J. (1993). The analysis of two-factor interactions in fixed effects linear models. Journal of Educational Statistics, 18, 1-40.
    • (1993) Journal of Educational Statistics , vol.18 , pp. 1-40
    • Boik, R.J.1
  • 14
    • 0016321371 scopus 로고
    • The ANOVA and multiple comparisons for data with heterogeneous variances
    • Brown, M. B. & Forsythe, A. B. (1974). The ANOVA and multiple comparisons for data with heterogeneous variances. Biometrics, 30, 719-724.
    • (1974) Biometrics , vol.30 , pp. 719-724
    • Brown, M.B.1    Forsythe, A.B.2
  • 15
    • 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
  • 16
    • 0002049971 scopus 로고
    • Simultaneous test procedures in multivariate analysis of variance
    • Gabriel, K. R. (1968). Simultaneous test procedures in multivariate analysis of variance. Biometrika, 55, 489-504.
    • (1968) Biometrika , vol.55 , pp. 489-504
    • Gabriel, K.R.1
  • 17
    • 0001056121 scopus 로고
    • Pairwise multiple comparisons with unequal n's and/or variances: A Monte Carlo study
    • Games, P. A. & Howell, J. F. (1976). Pairwise multiple comparisons with unequal n's and/or variances: A Monte Carlo study. Journal of Educational Statistics, 1, 112-125.
    • (1976) Journal of Educational Statistics , vol.1 , pp. 112-125
    • Games, P.A.1    Howell, J.F.2
  • 18
    • 0028262598 scopus 로고
    • A Monte Carlo study of the Friedman test and some competitors in the single factor, repeated measures design with unequal covariances
    • Harwell, M. R. & Serlin, R. C. (1994). A Monte Carlo study of the Friedman test and some competitors in the single factor, repeated measures design with unequal covariances. Computational Statistics & Data Analysis, 17, 35-49.
    • (1994) Computational Statistics & Data Analysis , vol.17 , pp. 35-49
    • Harwell, M.R.1    Serlin, R.C.2
  • 19
    • 0031342673 scopus 로고    scopus 로고
    • An empirical study of five multivariate tests for the single-factor repeated measures model
    • Harwell, M. R. & Serlin, R. C. (1997). An empirical study of five multivariate tests for the single-factor repeated measures model. Communications in Statistics, 26, 605-618.
    • (1997) Communications in Statistics , vol.26 , pp. 605-618
    • Harwell, M.R.1    Serlin, R.C.2
  • 20
    • 0033095630 scopus 로고    scopus 로고
    • Simulating correlated multivariate nonnormal distributions: Extending the Fleishman power method
    • Headrick, T. C. & Sawilowsky, S. S. (1999). Simulating correlated multivariate nonnormal distributions: Extending the Fleishman power method. Psychometrika, 64, 25-35.
    • (1999) Psychometrika , vol.64 , pp. 25-35
    • Headrick, T.C.1    Sawilowsky, S.S.2
  • 23
    • 0012845028 scopus 로고
    • An aligned rank transform test for interaction
    • Higgins, J. J. & Tashtoush, S. (1994). An aligned rank transform test for interaction. Nonlinear World, 1, 201-211.
    • (1994) Nonlinear World , vol.1 , pp. 201-211
    • Higgins, J.J.1    Tashtoush, S.2
  • 27
    • 0001092401 scopus 로고
    • Some approximate tests for repeated measurement designs
    • Huynh, H. (1978). Some approximate tests for repeated measurement designs. Psychometrika, 43, 161-175.
    • (1978) Psychometrika , vol.43 , pp. 161-175
    • Huynh, H.1
  • 28
    • 84950658629 scopus 로고
    • Conditions under which mean squares ratios in repeated measurements designs have exact F distributions
    • Huynh, H. & Feldt, L. S. (1970). Conditions under which mean squares ratios in repeated measurements designs have exact F distributions. Journal of the American Statistical Association, 65, 1582-1585.
    • (1970) Journal of the American Statistical Association , vol.65 , pp. 1582-1585
    • Huynh, H.1    Feldt, L.S.2
  • 29
    • 0001816848 scopus 로고
    • Estimation of the Box correction for degrees of freedom from sample data in randomized block and split-plot designs
    • Huynh, H. & Feldt, L. S. (1976). Estimation of the Box correction for degrees of freedom from sample data in randomized block and split-plot designs. Journal of Educational Statistics, 1, 69-82.
    • (1976) Journal of Educational Statistics , vol.1 , pp. 69-82
    • Huynh, H.1    Feldt, L.S.2
  • 30
    • 0001676986 scopus 로고
    • Comparison of asymptotically distribution-free procedures for the analysis of complete blocks
    • Iman, R. L., Hora, S. C., & Conover, W. J. (1984). Comparison of asymptotically distribution-free procedures for the analysis of complete blocks. Journal of the American Statistical Association, 79, 674-685.
    • (1984) Journal of the American Statistical Association , vol.79 , pp. 674-685
    • Iman, R.L.1    Hora, S.C.2    Conover, W.J.3
  • 31
    • 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
  • 32
    • 0000830193 scopus 로고
    • Sample and population score matrices and sample correlation matrices from an arbitrary population correlation matrix
    • Kaiser, H. F. & Dickman, K. (1962). Sample and population score matrices and sample correlation matrices from an arbitrary population correlation matrix. Psychometrika, 27, 179-182.
    • (1962) Psychometrika , vol.27 , pp. 179-182
    • Kaiser, H.F.1    Dickman, K.2
  • 33
    • 0037850105 scopus 로고
    • Stepwise and simultaneous multiple comparison procedures of repeated measures means
    • Keselman, H. J. (1994). Stepwise and simultaneous multiple comparison procedures of repeated measures means. Journal of Educational Statistics, 19, 127-162.
    • (1994) Journal of Educational Statistics , vol.19 , pp. 127-162
    • Keselman, H.J.1
  • 34
    • 0001946551 scopus 로고    scopus 로고
    • The analysis of higher-order repeated measures designs
    • B. Thompson (Ed.). Greenwich, CT: JAI Press
    • Keselman, H. J. & Algina, J. (1996). The analysis of higher-order repeated measures designs. In B. Thompson (Ed.). Advances in social science methodology, Vol. 4 (pp. 45-70). Greenwich, CT: JAI Press.
    • (1996) Advances in Social Science Methodology , vol.4 , pp. 45-70
    • Keselman, H.J.1    Algina, J.2
  • 36
    • 0001673694 scopus 로고
    • Testing repeated measures hypotheses when covariance matrices are heterogeneous
    • Keselman, H. J., Carriere, K. 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, K.C.2    Lix, L.M.3
  • 38
    • 0001223469 scopus 로고
    • Multiple pairwise comparisons of repeated measures means under violation of multisample sphericity
    • Keselman, H. J., Keselman, J. C., & Shaffer, J. P. (1991). Multiple pairwise comparisons of repeated measures means under violation of multisample sphericity. Psychological Bulletin, 111, 162-170.
    • (1991) Psychological Bulletin , vol.111 , pp. 162-170
    • Keselman, H.J.1    Keselman, J.C.2    Shaffer, J.P.3
  • 40
    • 0003868165 scopus 로고
    • Belmont CA: Brooks-Cole
    • nd ed.). Belmont CA: Brooks-Cole.
    • (1982) nd Ed.)
    • Kirk, R.E.1
  • 42
    • 0000593245 scopus 로고
    • A correction for the e approximate test in repeated measures designs with two or more independent groups
    • Lecoutre, B. (1991). A correction for the e 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
  • 46
    • 0000641089 scopus 로고
    • Appropriate post hoc comparisons for interaction and nested hypotheses in analysis of variance designs. The elimination of Type IV errors
    • Marascuilo, L. A. & Levin, J. R. (1970). Appropriate post hoc comparisons for interaction and nested hypotheses in analysis of variance designs. The elimination of Type IV errors. American Educational Research Journal, 7, 397-421.
    • (1970) American Educational Research Journal , vol.7 , pp. 397-421
    • Marascuilo, L.A.1    Levin, J.R.2
  • 48
    • 0014096831 scopus 로고
    • Nonparametric and post hoc comparisons for trend
    • Marascuilo, L. A. & McSweeney, M. (1967). Nonparametric and post hoc comparisons for trend. Psychological Bulletin, 67, 401-412.
    • (1967) Psychological Bulletin , vol.67 , pp. 401-412
    • Marascuilo, L.A.1    McSweeney, M.2
  • 51
    • 58149368765 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, 105, 156-166.
    • (1989) Psychological Bulletin , vol.105 , pp. 156-166
    • Micceri, T.1
  • 52
    • 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
  • 55
    • 0002861449 scopus 로고
    • Nonparametric test of interaction in experimental design
    • Sawilowsky, S. S. (1990). Nonparametric test of interaction in experimental design. Review of Educational Research, 60, 91-126.
    • (1990) Review of Educational Research , vol.60 , pp. 91-126
    • Sawilowsky, S.S.1
  • 56
    • 0001770704 scopus 로고
    • Multiple testing versus multiple estimation. Improper confidence sets. Estimation of directions and ratios
    • Scheffé, H. (1970). Multiple testing versus multiple estimation. Improper confidence sets. Estimation of directions and ratios. Annals of Mathematical Statistics, 41, 1-29.
    • (1970) Annals of Mathematical Statistics , vol.41 , pp. 1-29
    • Scheffé, H.1
  • 57
    • 0012883073 scopus 로고    scopus 로고
    • A review of nonparametric test for complex experimental designs in educational research
    • April. Seattle, WA
    • Serlin, R. C. & Harwell, M. R. (April, 2001). A review of nonparametric test for complex experimental designs in educational research. Paper presented at the meeting of the American Educational Research Association. Seattle, WA.
    • (2001) The Meeting of the American Educational Research Association
    • Serlin, R.C.1    Harwell, M.R.2
  • 58
    • 0032350750 scopus 로고    scopus 로고
    • MANOVA simultaneous test procedures: The power and robustness of restricted multivariate contrasts
    • Sheehan-Holt, J. (1998). MANOVA simultaneous test procedures: The power and robustness of restricted multivariate contrasts. Educational and Psychological Measurement, 58, 861-881.
    • (1998) Educational and Psychological Measurement , vol.58 , pp. 861-881
    • Sheehan-Holt, J.1
  • 59
    • 0006322720 scopus 로고
    • A comparison of procedures for multiple comparisons if means with unequal variances
    • Tamhane, A. C. (1979). A comparison of procedures for multiple comparisons if means with unequal variances. Journal of the American Statistical Association, 74, 471-480.
    • (1979) Journal of the American Statistical Association , vol.74 , pp. 471-480
    • Tamhane, A.C.1
  • 60
    • 0000550486 scopus 로고
    • A note on the rank transform for interactions
    • Thompson, G. L. (1991a). A note on the rank transform for interactions. Biometrika, 78, 697-701.
    • (1991) Biometrika , vol.78 , pp. 697-701
    • Thompson, G.L.1
  • 61
    • 0000104111 scopus 로고
    • A unified approach to rank tests for multivariate and repeated measures designs
    • Thompson, G. L. (1991b). A unified approach to rank tests for multivariate and repeated measures designs. Journal of the American Statistical Association, 86, 410-419.
    • (1991) Journal of the American Statistical Association , vol.86 , pp. 410-419
    • Thompson, G.L.1
  • 66
    • 21344485856 scopus 로고
    • Relative power of the Wilcoxon test, the Friedman test, and the repeated-measures ANOVA on ranks
    • Zimmerman, D. & Zumbo, B. (1993). Relative power of the Wilcoxon test, the Friedman test, and the repeated-measures ANOVA on ranks. Journal of Experimental Education, 62, 75-86.
    • (1993) Journal of Experimental Education , vol.62 , pp. 75-86
    • Zimmerman, D.1    Zumbo, B.2
  • 67
    • 17744398886 scopus 로고    scopus 로고
    • Investigation of the robust rank-order test for non-normal populations with unequal variances: The case of reaction time
    • Zumbo, B. D. & Coulombe, D. (1997). Investigation of the robust rank-order test for non-normal populations with unequal variances: The case of reaction time. Canadian Journal of Experimental Psychology, 51(2), 139-149.
    • (1997) Canadian Journal of Experimental Psychology , vol.51 , Issue.2 , pp. 139-149
    • Zumbo, B.D.1    Coulombe, D.2


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