2 Multivariate analysis of variance of repeated measurements

Handbook of Statistics

Volumn 1, Issue , 1980, Pages 41-87

  Timm, Neil H ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70350346915     PISSN: 01697161     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0169-7161(80)01004-8     Document Type: Review

References (62)

1. Bartlett M.S. A note on tests of significance in multivariate analysis. Proc. Cambridge Phil. Soc. 35 (1939) 180-185
2. Bartlett M.S. Tests of significance in factor analysis. Brit. J. Psychol. (Statist. Section) 3 (1950) 77-85
3. Bock R.D. Programming univariate and multivariate analysis of variance. Technometrics 5 (1963) 95-117
4. Bock R.D. Multivariate analysis of variance of repeated measurements. In: Harris C.W. (Ed). Problems of Measuring Change (1963), University of Wisconsin Press, Berlin 85-103
5. Bock R.D. Multivariate Statistical Methods in Behavioral Research (1975), McGraw-Hill, Madison
6. 2 and Anderson's classification statistic. In: Olkin I., et al. (Ed). Contributions to Probability and Statistics (1960), Stanford University Press, New York 142-149
7. Box G.E.P. Problems in the analysis of growth and wear curves. Biometrics 6 (1950) 362-389
8. Cochran W.G., and Cox G.M. Experimental Designs. 2nd ed. (1957), Wiley, Stanford
9. Cox D.R. Planning of Experiments (1958), Wiley, New York
10. Federer W.T. Experimental Design-theory and Application (1955), Macmillan, New York
11. Federer W.T., and Balaam L.N. Bibliography on Experiment and Treatment Design Pre-1968 (1972), Oliver and Boyd, New York
12. Federer W.T. The misunderstood split plot. In: Gupta R.P. (Ed). Applied Statistics (1975), North-Holland, Edinburgh 9-39
13. Federer W.T. Applications and concepts of repeated measures designs when residual effects are present. Technical Report BU-603-M (1977), Cornell University, Amsterdam, Oxford
14. Version 5, Release 3 (1976). Finn J. MULTIVARIANCE: Univariate and Multivariate Analysis of Variance, Covariance and Regression (1972), National Educational Resources, Chicago
15. Finny D.J. An Introduction to the Theory of Experimental Design (1960), The University of Chicago Press, Chicago
16. Gabriel K.R. Simultaneous test procedures in multivariate analysis of variance. Biometrika 55 (1968) 489-504
17. Geisser S. Growth curve analysis. Handbook of Statistics Vol. I (1979), North-Holland, Chicago
18. Greenhouse S.W., and Geisser S. On methods in the analysis of profile data. Psychometrika 24 a (1959) 95-112
19. Grizzle J., and Allen D.M. Analysis of growth and dose response curves. Biometrics 25 (1969) 357-381
20. Hedayat A., and Afsarinejad K. Repeated measurements design I. In: Srivastava J.N. (Ed). A Survey of Statistical Designs: I (1975), North-Holland, New York 229-242
21. Hotelling H. The generalization of student's ratio. Ann. Math. Statist. 2 (1931) 360-378
22. Hotelling H. A generalized T-test and measure of multivariate dispersion. Proceedings of the Second Berkeley Symposium on Mathematics and Statistics (1951), University of California Press, Amsterdam, Oxford 23-41
23. Huynh H., and Feldt L.S. Conditions under which mean square ratios in repeated measurement designs have exact F-distribution. J. Amer. Statist. Assoc. 65 (1970) 1582-1589
24. Huynh H., and Feldt L.S. Estimation of the Box correction for degrees of freedom from sample data in randomized block and split-plot designs. J. Educational Statist. 1 1 (1976) 69-82
25. John P.W.M. Statistical Design and Analysis of Experiments (1971), Macmillan, Berkeley
26. Jöreskog K., van Thillo M., and Gruvaeus G.T. A general computer program for analysis of covariance structures including generalized MANOVA. Research Bulletin RB-71-1 (1971), Educational Testing Service, Princeton, New Jersey
27. Kempthorne O. The Design and Analysis of Experiments (1952), Wiley, New York
28. Khatri C.G. A note on a MANOVA model applied to problems in growth curve. Ann. Inst. Statist. Math. 18 (1966) 75-86
29. Kirk R.E. Experimental Design-Procedures for the Behavioral Sciences (1968), Brooks and Cole, New York
30. Kleinbaum D.G. Estimation and hypothesis testing for generalized multivariate linear models. Mimeo Series No. 696 (1970), Institute of Statistics, University of North Carolina, Monterey, CA
31. Kleinbaum D.G. A generalization of the growth curve model which allows missing data. Journal of Multivariate Analysis 3 (1973) 117-124
32. Krishnaiah P.R. Multiple comparison procedures in multi-response experiments. Sankhya A 27 (1965) 31-36
33. Krishnaiah P.R. Simultaneous test procedures under general MANOVA models. In: Krishnaiah P.R. (Ed). Multivariate Analysis II (1969), Academic Press, Chapel Hill, NC 121-142
34. Krishnaiah P.R. Some recent developments on real multivariate distributions. In: Krishnaiah P.R. (Ed). Developments in Statistics Vol. 1 (1978), Academic Press, New York 135-169
35. Krishnaiah P.R., and Waikar V.B. Simultaneous tests for equality of latent roots against certain alternatives I. Ann. Inst. Statist. Math. 23 (1971) 451-468
36. Lawley D.N. A generalization of Fisher's z-test. Biometrika 30 (1938) 180-187
37. Lee J.C., Krishnaiah P.R., and Chang T.C. On the distribution of the likelihood ratio test statistic for compound symmetry. South African Statistical J. 10 (1976) 49-62
38. Lee Y.H.K. A note on Rao's reduction of Potthoff and Roy's generalized linear model. Biometrika 61 (1974) 349-351
39. Lindquist E.F. Design and Analysis of Experiments in Psychology and Education (1953), Houghton-Mifflin, New York
40. Myers J.L. Fundamentals of Experimental Design (1966), Allyn and Bacon, Boston
41. Nanda D.N. Distribution of the sum of roots of a determinantal equation under a certain condition. Ann. Math. Statist. 21 (1950) 432-439
42. Olson C.L. Comparative robustness of six tests in multivariate analysis of variance. J. Amer. Statist. Assoc. 69 (1974) 894-908
43. Pillai K.C.S. Statistical Tables for Tests of Multivariate Hypotheses (1960), Statistical Center, University of the Philippines, Boston
44. Potthoff R.F., and Roy S.N. A generalized multivariate analysis of variance model useful especially for growth curve problems. Biometrika 51 (1964) 313-326
45. Quenouille M.H. The Design and Analysis of Experiments (1953), Griffin, Manila
46. Rao C.R. The theory of least squares when the parameters are stochastic and its application to the analysis of growth curves. Biometrika 52 (1965) 447-458
47. Rao C.R. Covariance adjustment and related problems in multivariate analysis. In: Krishnaiah P.R. (Ed). Multivariate Analysis (1966), Academic Press, London 87-103
48. Rao C.R. Least square theory using an estimated dispersion matrix and its application to measurement of signals. Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics (1967), University of California Press, New York 355-372
49. Rao C.R. Recent trends of research work in multivariate analysis. Biometrics 28 (1972) 3-22
50. Rao C.R. Linear Statistical Inference and its Applications. 2nd ed. (1973), Wiley, Berkeley, CA
51. Roy J. Step-down procedure in multivariate analysis. Ann. Math. Statist. 29 (1958) 1177-1187
52. Roy S.N. Some Aspects of Multivariate Analysis (1957), Wiley, New York
53. Schatzoff M. Sensitivity comparisons among tests of the general linear hypothesis. J. Amer. Statist. Assoc. 61 (1966) 415-435
54. Srivastava J.N., and Roy S.N. Hierarchal and p-block multiresponse designs and their analysis. In: Rao C.R. (Ed). Mahalanobis Dedicatory Volume (1965), Pergamon Press, New York
55. Srivastava J.N. Some generalizations of multivariate analysis of variance. In: Krishnaiah P.R. (Ed). Multivariate Analysis (1966), Academic Press, New York 129-145
56. Srivastava J.N. On the extension of Gauss-Markov theorem to complex multivariate linear models. Ann. Inst. Statist. Math. 19 (1967) 417-437
57. Srivastava J.N. On a general class of designs for multiresponse experiments. Ann. Math. Statist. 39 (1968) 1825-1843
58. Timm N.H. Multivariate Analysis with Applications in Education and Psychology (1975), Brooks/Cole, New York
59. Trawinski I.M., and Bargmann R.E. Maximum likelihood estimation with incomplete multivariate data. Ann. Math. Statist. 35 (1964) 647-658
60. Tubbs J.D., Lewis T.O., and Duran B.S. A note on the analysis of the MANOVA model and its application to growth curves. Comm. Statist. 4 (1975) 643-653
61. Wilks S.S. Certain generalizations in the analysis of variance. Biometrika 24 (1932) 471-494
62. Winer B.J. Statistical Principles in Experimental Design. 2nd ed. (1971), McGraw-Hill, Monterey, CA