Analysis of data with multiple sources of correlation in the framework of generalized estimating equations

Statistics in Medicine

Volumn 23, Issue 20, 2004, Pages 3209-3226

  Shults, Justine ^a   Whitt, Melicia C ^a   Kumanyika, Shiriki ^a  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

Correlated data; Generalized estimating equations; Kronecker product; Multi level correlated data; Quasi least squares

Indexed keywords

AFRICAN AMERICAN; ALGORITHM; ANALYTICAL ERROR; ANALYTICAL PARAMETERS; ARTICLE; CALCULATION; CONTROLLED STUDY; CORRELATION ANALYSIS; DATA ANALYSIS; FEMALE; GENDER; HEALTH BEHAVIOR; HUMAN; INTERMETHOD COMPARISON; LINEAR SYSTEM; METHODOLOGY; OUTCOMES RESEARCH; PHYSICAL ACTIVITY; QUESTIONNAIRE; REGRESSION ANALYSIS; TIME;

AFRICAN CONTINENTAL ANCESTRY GROUP; ALGORITHMS; BIOMETRY; EXERCISE; FEMALE; HUMANS; LEAST-SQUARES ANALYSIS; MODELS, STATISTICAL; MOTOR ACTIVITY; QUESTIONNAIRES;

EID: 5044230092     PISSN: 02776715     EISSN: None     Source Type: Journal    
DOI: 10.1002/sim.1887     Document Type: Article

References (33)

1. Liang KY, Zeger SL. Longitudinal data analysis using generalized linear models. Biometrika 1986; 73:13-22.
2. The Sixth Report of the Joint National Committee on Prevention, Detection, Evaluation, and Treatment of High Blood Pressure. Archives of Internal Medicine 1997; 157:2413-2446.
3. National Institutes of Health, National Heart, Lung, and Blood Institute. Clinical guidelines on the identification, evaluation, and treatment of overweight and obesity in adults. The Evidence Report. Obesity Research 1998; 6 (Suppl. 2):51S-209S.
4. Goldstein H. Multilevel Statistical Models. Halstead Press: London, 1995.
5. Whitt M, Kumanyika S, Bellamy S. Characterization of total amount and bouts of physical activity in African American women. Medicine and Science in Sports and Exercise 2003; 35:1887-1893.
6. Pate RR, Pratt M, Blair SN, Haskell WL, Macera CA, Bouchard C, et al. Physical activity and public health: a recommendation from the Centers for Disease Control and Prevention and the American College of Sports Medicine. Journal of the American Medical Association 1995; 274:402-407.
7. American College of Sports Medicine Position Stand. The recommended quantity and quality of exercise for developing and maintaining cardiorespiratory and muscular fitness and flexibility in healthy adults. Medicine and Science in Sports and Exercise 1998; 30(6):975-991.
8. Whitt M. The evaluation of surveys to assess physical activity patterns among women. Doctoral dissertation 1999. University of South Carolina, Columbia, SC.
9. Lefkopoulou M, Moore D, Ryan L. The analysis of multiple correlated binary outcomes: application to rodent teratology experiments. Journal of the American Statistical Association 1989; 84(407):810-815.
10. Shults J, Morrow ALM. The use of quasi-least squares to adjust for two sources of association. Biometrics 2002; 58:521-530.
11. Shults J. Modeling the correlation structure of data that have multiple levels of association. Communications of Statistics - Theory and Methods 2000; 29:1005-1015.
12. Shults J, Chaganty NR. Analysis of serially correlated data using quasi-least squares. Biometrics 1998; 54: 1622-1630.
13. Ten Have TR, Kunselman AR, Tran L. A comparison of mixed effects logistic regression models for binary data with two nested levels of clustering. Statistics in Medicine 1999; 18:947-960.
14. Liang KY, Zegen SL, Qaqish B. Multivariate regression analyses for categorical data (with discussion). Journal of the Royal Statistical Society, Series B 1992; 54:3-40.
15. Zhao LP, Prentice RL. Correlated binary regression using a quadratic exponential model. Biometrika 1990; 77:642-648.
16. Sammel M, Lin X, Ryan L. Multivariate linear mixed models for multiple outcomes. Statistics in Medicine 1999; 18:2479-2492.
17. Roy J, Lin X. Latent variable models for longitudinal data with multiple continuous outcomes. Biometrics 2000; 56:1047-1054.
18. Sammel M, Ryan L. Effects of covariance misspecification in a latent variable model for multiple outcomes. Statistica Sinica 2002; 12:1207-1222.
19. Heagerty P, Zeger S. Marginalized multilevel models and likelihood inference. Statistical Science 2000; 15(1): 1-26.
20. Chaganty NR. An alternative approach to the analysis of longitudinal data via generalized estimating equations. Journal of Statistical Planning and Inference 1997; 63:39-54.
21. Chaganty NR, Shults J. On eliminating the asymptotic bias in the quasi-least squares estimate of the correlation parameter. Journal of Statistical Planning and Inference 1999; 76:127-144.
22. Physical activity trends - United States, 1990-1998. Morbidity, and Mortality Weekly Report 2001; 50(9): 166-169.
23. Bassett Jr DR, Ainsworth BE, Swartz AM, Strath SJ, O'Brien WL, King GA. Validity of four motion sensors in measuring moderate intensity physical activity. Medicine and Science in Sports and Exercise 2000; 32: S471-S480.
24. Leenders NY, Sherman WM, Nagaraja HN, Kien CL. Evaluation of methods to assess physical activity in free-living conditions. Medicine and Science in Sports and Exercise 2000; 33:1233-1240.
25. Dempster AP, Laird NM, Rubin DB. Maximum likelihood estimation from incomplete data via the EM algorithm (with discussion). Journal of the Royal Statistical Society B 1977; 39:1-38.
26. Liu C, Ruben DB. Maximum likelihood estimation of factor analysis using the ECME algorithm with complete and incomplete data. Statistica Sinica 1998; 8:729-747.
27. Galecki AT. General class of covariance structures for two or more repeated factors in longitudinal data analysis. Communications of Statistics - Theory and Methods 1994; 23:3105-3120.
28. Naik D, Rao S. Analysis of multivariate repeated measures data with a Kronecker product structured covariance matrix. Journal of Applied Statistics 2001; 28:91-105.
29. Chaganty NR, Naik D. Analysis of multivariate longitudinal data using quasi-least squares. Journal of Statistical Planning and Inference 2002; 103:421-436.
30. Rochon J. Application of GEE procedures for sample size calculations in repeated measures experiments. Statistics in Medicine 1998; 17:1643-1658.
31. Jung S-H, Ahn C. Sample size estimation for GEE method for comparing slopes in repeated measures data. Statistics in Medicine 2003; 22:1305-1315.
32. Diggle JD, Liang K, Zeger SL. Analysis of Longitudinal Data. Oxford University Press Inc.: New YorK, 1994.
33. Lipsitz SR, Laird NM, Harrington DP. Generalized estimating equations for correlated binary data: using the odds ratio as a measure of association. Biometrika 1991; 78:153-160.