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Theory and Methods

A Unified Approach to Rank Tests for Multivariate and Repeated Measures Designs

Pages 410-419 | Received 01 Jan 1989, Published online: 27 Feb 2012

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Sana S. Buhamra. (1997) Testing for a change in repeated measures data. Communications in Statistics - Simulation and Computation 26:3, pages 841-872.
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JamesL. Kepner & DennisD. Wackerly. (1996) On Rank Transformation Techniques for Balanced Incomplete Repeated-Measures Designs. Journal of the American Statistical Association 91:436, pages 1619-1625.
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M. Mushfiqur rashid. (1996) Inference based on ranks for two-way models with a grouping factor and a repeated measures factor. Journal of Nonparametric Statistics 6:1, pages 27-42.
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A.L. Bello. (1993) On the performance of rank transform discriminant method in error-rate estimation. Journal of Statistical Computation and Simulation 48:3-4, pages 153-165.
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M. Mushfiqur Rashid, M. Mushfiqur Rashid, James C. Aubuchon & Ansuman Bagchi. (1993) Rank-based analysis of repeated measures block designs. Communications in Statistics - Theory and Methods 22:10, pages 2783-2811.
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G.L. Thompson. (1992) On intercomponent rank tests for the bivariate two-sample location model. Journal of Statistical Computation and Simulation 43:1-2, pages 103-116.
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Edgar Brunner & Holger Dette. (1992) Rank Procedures for the Two-Factor Mixed Model. Journal of the American Statistical Association 87:419, pages 884-888.
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. 2003. Applying Contemporary Statistical Techniques. Applying Contemporary Statistical Techniques R-1 R-12 .
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Hans-Christian Waldmann & Franz Petermann. 1998. Comprehensive Clinical Psychology. Comprehensive Clinical Psychology 63 89 .
Thomas P. Hettmansperger, Joseph W. McKean & Simon J. Sheather. 1997. Robust Inference. Robust Inference 145 173 .
A.M. Dean & D.A. Wolfe. 1996. Design and Analysis of Experiments. Design and Analysis of Experiments 705 758 .
Edgar Brunner & Madan L. Puri. 1996. Design and Analysis of Experiments. Design and Analysis of Experiments 631 703 .
M. Mushfiqur Rashid. (1995) Robust analysis of two-way models with repeated measures on both factors. Test 4:1, pages 39-62.
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John W. SeamanJr.Jr., Susan C. Walls, Sharon E. Wise & Robert G. Jaeger. (1994) Caveat emptor: rank transform methods and interaction. Trends in Ecology & Evolution 9:7, pages 261-263.
Crossref
John H. J. Einmahl, B.O. Omolo, Madan L. Puri & F.H. Ruymgaart. (2004) Aligned Rank Statistics for Repeated Measurement Models with Orthonormal Design, Employing a Chernoff-Savage Approach. SSRN Electronic Journal.
Crossref

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