Tests for Gaussian repeated measures with missing data in small samples

Statistics in Medicine

Volumn 19, Issue 8, 2000, Pages 1101-1114

  Catellier, Diane J ^a   Muller, Keith E ^a  

^a The University of North Carolina at Chapel Hill   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; ARTICLE; COMPUTER SIMULATION; DATA ANALYSIS; SAMPLING; STATISTICAL ANALYSIS;

CHOLINE; COMPUTER SIMULATION; HUMANS; LIKELIHOOD FUNCTIONS; LINEAR MODELS; MALE; MULTIVARIATE ANALYSIS; NORMAL DISTRIBUTION; RANDOMIZED CONTROLLED TRIALS; SAMPLE SIZE; STATISTICS;

EID: 0034732658     PISSN: 02776715     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0258(20000430)19:8<1101::AID-SIM415>3.0.CO;2-H     Document Type: Article

References (39)

1. Barton CN, Cramer EC. Hypothesis testing in multivariate linear models with randomly missing data. Communications in Statistics - Simulations 1989; 18:875-895.
2. Schluchter MD, Elashoff JD. Small-sample adjustments to tests with unbalanced repeated measures assuming several covariance structures. Journal of Statistical Computing - Simulations 1990; 37:69-87.
3. Rubin DB. Inference and missing data. Biometrika 1976; 63:581-592.
4. Liang KY, Zeger SL. Longitudinal data analysis using generalized linear models. Biometrika 1986; 73: 13-22.
5. Park T. A comparison of the generalized estimating equation approach with the maximum likelihood approach for repeated measurements. Statistics in Medicine 1993; 12:1723-1732.
6. Dempster AP, Laird NM, Rubin DB. Maximum likelihood from incomplete data via the EM algorithm (with Discussion). Journal of the Royal Statistical Sociely-B 1977; 39:1-38.
7. Laird NM, Lange N, Stram D. Maximum likelihood computations with repeated measures: Application of the EM algorithm. Journal of the American Statistical Association 1987; 82:97-105.
8. Stiger TR, Kosinski AS, Barnhart HX, Kleinbaum DG. ANOVA for repeated ordinal data with small sample size? A comparison of ANOVA, MANOVA, WLS and GEE methods by simulation. In Joint Statistical Meetings of the American Statistical Association Abstract Book. 1997; 246.
9. Qu YS, Piedmonte MR, Williams GW. Small sample validity of latent variable models for correlated binary data. Communications in Statistics - Simulations 1994; 23:243-269.
10. Emrich LJ, Piedmonte MR. On some small sample properties of generalized estimating equation estimates for multivariate dichotomous outcomes. Journal of Statistical Computation and Simulation 1992; 41:19-29.
11. Davidson ML. Univariate versus multivariate tests in repeated measures experiments. Psychological Bulletin 1972; 77:446-452.
12. O'Brien RG, Kaiser MK. MANOVA method for analyzing repeated measures designs: An extensive primer. Psychological Bulletin 1985; 97:316-333.
13. Muller KE, LaVange LM, Ramey SL, Ramey CT. Power calculations for general linear multivariate models including repeated measures applications. Journal of the American Statistical Association 1992; 87:1209-1226.
14. Olson CL. Comparative robustness of six tests in multivariate analysis of variance. Journal of the American Statistical Association 1974; 69:894-908.
15. Olson CL. Choosing a test statistic in multivariate analysis. Psychological Bulletin 1976; 86:579-586.
16. Olson CL. Practical considerations in choosing a MANOVA test statistic: a rejoinder to Stevens. Psychological Bulletin 1979; 86:1350-1352.
17. Anderson TW. An Introduction To Multivariate Statistical Analysis. Wiley: New York, 1984.
18. Rao CR. Linear Statistical Inference and Its Applications. Wiley: New York, 1973.
19. Pillai KCS. On some distribution problems in multivariate analysis. In Institute of Statistics Mimeo Series No. 88. University of North Carolina: Chapel Hill, 1954.
20. 0. Journal of Computational and Graphical Statistics 1998; 7:131-137.
21. 0. Biometrika 1974; 61:381-383.
22. Muller KE, Barton CN. Approximate power for repeated measures for repeated measures anova lacking sphericity. Journal of the American Statistical Association 1989; 84:549-555.
23. Muller KE, Barton CN. Correction to 'Approximate power for repeated measures for repeated measures anova lacking sphericity'. Journal of the American Statistical Association 1991; 86:255-256.
24. Little RJA, Rubin DB. Statistical Analysis with Missing Data. Wiley: New York, 1987.
25. Rubin DB. Characterization of estimation of parameters in incomplete data problems. Journal of the American Statistical Association 1974; 69:467-474.
26. Orchard T, Woodbury MA. A missing information principle: theory and applications. In Proceedings of the 6th Berkeley Symposium on Mathematical Statistics and Probability I. University of California Press: Berkeley, 1972; 697-715.
27. Beale EML, Little RJA. Missing values in multivariate analysis. Journal of the Royal Statistical Society, Series B 1975; 37:129-145.
28. Mensah RD, Elswick RK, Chinchilli VM. Consistent estimators of the variance-covariance matrix of the GMANOVA model with missing data. Communications in Statistics, Series A 1993; 22:1495-1514.
29. Callahan TP, Harville DA. Some new algorithms for computing maximum likelihood estimates of variance components. Journal of Statistical Computation and Simulation 1990; 38:239-259.
30. Morrison DF. A test for equality of means of correlated variates with missing data on one response. Biometrika 1973; 60:101-105.
31. Little RJA. Inference about means from incomplete multivariate data. Biometrika 1976; 63:593-604.
32. Little RJA. Approximate calibrated small sample inference about means from bivariate normal data with missing values. Computational Statistics and Data Analysis 1988; 7:161-178.
33. Lindstrom MJ, Bates DM. Newton-Raphson and EM algorithms for linear mixed-effects models for repeated measures data. Journal of the American Statistical Association 1988; 83:1014-1022.
34. Hocking RR. The Analysis of Linear Models. Brooks/Cole: Monterey, 1985.
35. Woolson RF, Leeper JD. Hypothesis testing in multivariate linear models with randomly missing data. Communications in Statistics - Theory and Methods 1980; A9:1491-1513.
36. Woolson RF, Leeper JD, Clarke WR. Analysis of incomplete data from longitudinal and mixed longitudinal studies. Journal of the Royal Statistical Society, Series A 1978; 141:242-252.
37. Leeper JD, Woolson RF. Testing hypotheses for the growth curve model when the data are incomplete. Journal of Statistical Computation and Simulation 1982; 15:97-107.
38. SAS Institute Inc. SAS/STAT Software: Changes and enhancements, Release 6.12. SAS Institute Inc.: Cary, 1997; 607, 644.
39. Zeisel SH, DaCosta K, Franklin PD, Alexander EA, Lamont JT, Sheard NF, Beiser A. Choline, an essential nutrient for humans. FASEB 1991; 5:2093-2098.