The statistical analysis of trials in which individuals are evaluated repeatedly at several time points is examined. For the case in which correlations between observations follow a specified pattern, a conservative F test is applied to test for the effects of time and for the interaction between time and treatment groups.
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References
1.
Armitage, P.: Statistical Methods in Medical Research, New York : Halsted Press, John Wiley & Sons, 1971.
2.
Fertig, J.W. ; Varma, A.O.; and Senning, R.: Techniques for the Analysis of Repeat Measurements , J Periodont Res9(Suppl. 14): 171-192,1974.
3.
Grizzle, J.E. and Allen, D.M.: Analysis of Growth and Dose Response Curves , Biometrics25:357-381, 1969.
4.
Potthoff, R.F. and Roy, S.N.: A Generalized Multivariate Analysis of Variance Models Useful Especially for Growth Curve Problems, Biometrika51:313-325, 1964.
5.
Box, G.E.P. : Some Theorems on Quadratic Forms Applied in the Study of Analysis of Variance Problems. II. Effects of Inequality of Variance and of Correlation Between Errors in the Two-way Classification, Ann Math Stat25:484-498, 1954.
6.
Geisser, S. and Greenhouse, S.W. : An Extension of Box's Results on the Use of the F-statistic in Multivariate Analysis, Ann Math Stat24:885-891, 1958.
7.
Greenhouse, S.W. and Geisser, S.: On Methods in the Analysis of Profile Data , Psychometrika25:95-112, 1959.
8.
Stoloff, P.H. : Correcting for Heterogeneity of Covariance for Repeated Measures Designs of the Analysis of Variance, Educational and Psychological Measurement39:909-924, 1970.
9.
Wallenstein, S. and Fleiss, J.L.: Repeated Measurements Analysis of Variance When the Correlations Have a Certain Pattern, Psychometrika44:229-233, 1979.