Using wavelet-based functional mixed models to characterize population heterogeneity in accelerometer profiles: A case study

Journal of the American Statistical Association

Volumn 101, Issue 476, 2006, Pages 1352-1364

  Morris, Jeffrey S ^a   Arroyo, Cassandra ^b   Coull, Brent A ^c   Ryan, Louise M ^c   Herrick, Richard ^a   Gortmaker, Steven L ^d  

^a UNIVERSITY OF TEXAS   (United States)

^b MOREHOUSE SCHOOL OF MEDICINE   (United States)

^c Department of Biostatistics ^*

^d HARVARD SCHOOL OF PUBLIC HEALTH   (United States)

Author keywords

Accelerometer; Bayesian inference; Functional data analysis; Missing data; Mixed models; Wavelet; Wavelet regression

Indexed keywords

EID: 33846090391     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/016214506000000465     Document Type: Article

References (41)

1. Abbott, A. P., and Davies, P. S. (2004), "Habitual Physical Activity and Physical Activity Intensity: Their Relation to Body Composition in 5.0-10.5-Year-Old Children," European Journal of Clinical Nutrition, 58, 285-291.
2. Abramovich, F., Sapatinas, T., and Silverman, B. W. (1998), "Wavelet Thresholding via a Bayesian Approach," Journal of the Royal Statistical Society. Ser. B, 60, 725-749.
3. Algase, D. L., Beattie, E., Leitsch, S. A., and Beel-Bates, C. A. (2003), "Biomechanical Activity Devices to Index Wandering Behavior in Dementia," American Journal of Alzheimer's Disease and Other Dementias, 18, 85-92.
4. Brown, P. J., Fearn, T., and Vannucci, M. (2001), "Bayesian Wavelet Regression on Curves With Application to a Spectroscopic Calibration Problem," Journal of the American Statistical Association, 96, 398-408.
5. Bruce, A. G., and Gao, H. Y. (1996), "Understanding WaveShrink: Variance and Bias Estimation," Biometrika, 83, 727-745.
6. Centers for Disease Control (2000), "Promoting Better Health for Young People Through Physical Activity and Sports: A Report to the President From the Secretary of Health and Human Services and the Secretary of Education," technical report, Centers for Disease Control and Prevention.
7. _ (2001), "Physical Activity and Good Nutrition, Essential Elements to Prevent Chronic Disease and Obesity, at a Glance 2001," technical report. Centers for Disease Control and Prevention.
8. Chang, W., and Vidakovic. B. (2002), "Wavelet Estimation of a Base-Line Signal From Repeated Noisy Measurements by Vertical Block Shrinkage," Computational Statistics and Data Analysis, 40, 317-328.
9. Chipman, H. A., Kolaczyk, E. D., and McCulloch, R. E. (1997), "Adaptive Bayesian Wavelet Shrinkage," Journal of the American Statistical Association, 92, 1413-1421.
10. Clyde, M., and George, E. I. (2000), "Flexible Empirical Bayes Estimation for Wavelets," Journal of the Royal Statistical Society, Ser. B, 60, 681-698.
11. Clyde, M., Parmigiani, G., and Vidakovic, B. (1998), "Multiple Shrinkage and Subset Selection in Wavelets," Biometrika, 85, 391-401.
12. Coleman, K. J., Saelens, B. E., Wiedrich-Smith, M. D., Finn, J. D., and Epstein, L. H. (1997), "Relationships Between TriTrac-R3I3 Vectors. Heart Rate, and Self-Report in Obese Children," Medicine and Science in Sports and Exercise. 29, 1535-1542.
13. Cradock, A. L., Weicha, J. L., Peterson, K. E., Sobol, A. M., Colditz, G. A., and Gortmaker, S. L. (2004), "Youth Recall and TriTrac Accelerometer Estimates of Physical Activity Levels," Medicine and Science in Sports and Exercise 36, 525-532.
14. Daubechies, I. (1992), Ten Lectures on Wavelets. Philadelphia: Society for Industrial and Applied Mathematics.
15. Dietz, W. H. (1998), "Health Consequences of Obesity in Youth: Childhood Predictors of Adult Disease," Pediatrics, 101, 518-558.
16. Donoho, D. L., and Johnstone, I. M. (1995), "Adapting to Unknown Smoothness via Wavelet Shrinkage," Journal of the American Statistical Association, 90, 1200-1224.
17. Epstein, L. H., Paluch, R. A., Coleman, K. J., Vito, D., and Anderson, K. (1996), "Determinants of Physical Activity in Obese Children Assessed by Accelerometer and Self-Report," Medicine and Science in Sports and Exercise, 26, 1157-1164.
18. Going, S., Thompson, J., Cano. S., Stewart. D., Stone. E., Harnack, L., Hastings, C. Norman, J., and Corbin, C. (2003), "The Effects of the Pathways Obesity Prevention Program on Physical Activity in American Indian Children," Preventive Medicine, 37, S62-S69.
19. Goldfield, G. S., Kalakanis, L. E., Ernst, M. M., and Epstein, L. H. (2000), "Open-Loop Feedback to Increase Physical Activity in Obese Children," International Journal of Obesity and Related Metabolic Disorders, 24, 888-892.
20. Gortmaker, S. L. (2002), "The Role of Physical Activity Environment in Obesity Among Children and Adolescents in the Industrialized World," in Obesity in Childhood and Adolescents, eds. C. Chen and W. H. Diet/. Philadelphia: Vevey/Lippencott Wiliams & Wilkins, pp. 177-194.
21. Gortmaker, S. L., Peterson, K., Wiecha, J., Sobol, A., Dixit, S., Fox, M., and Laird, N. (1999), "Reducing Obesity via a School-Based Interdisciplinary Intervention Among Youth: Planet Health.'' Archives of Pediatric and Adolescent Medicine, 153, 409-418.
22. Johnstone, I. M., and Silverman, B. W. (1997), "Wavelet Threshold Estimators for Data With Correlated Noise," Journal of the Royal Statistical Society. Ser. B. 59, 319-351.
23. Laird, N., and Ware, J. H. (1982), "Random-Effects Models for Longitudinal Data," Biometrics, 38, 963-974.
24. Little, R. J. A., and Rubin, D. B. (2002), Statistical Analysts With Missing Data. Hoboken, NJ: Wiley.
25. Matthews, C. E., and Freedson, P. S. (1995), "Field Trial of a Three-Dimensional Activity Monitor: Comparison With Self-Report," Medicine and Science in Sports and Exercise. 27, 1071-1078.
26. Misiti, M., Misiti, Y., Oppenheim, G., and Poggi, J. M. (2000), Wavelet Toolbox for Use With Matlab: User's Guide, Natick, MA: Mathworks. Inc.
27. Morris, J. S., and Carroll, R. J. (2006), "Wavelet-Based Functional Mixed Models," Journal of the Royal Statistical Society, Ser. B, 68, 179-199.
28. Morris, J. S., Vannucci, M., Brown, P. J., and Carroll, R. J. (2003), "Wavelet-Based Non-Parametric Modeling of Hierarchical Functions in Colon Carcinogenesis," Journal of the American Statistical Association. 98, 573-597.
29. Pearce, K. D. (1999), "Race. Ethnicity, and Physical Activity," Leisure Today JOPERD, 70, 25-28.
30. Percival, D. B., and Waiden, A. T. (2000), Wavelet Methods for Time Series Analysis, New York: Cambridge.
31. Ramsay, J. O., and Silverman, B. W. (1997), Functional Data Analysis. New York: Springer-Verlag.
32. _ (2000), Recommended Dietary Allowances (10th ed.). Washington, DC: National Academy Press.
33. Rowlands, A. V., Eston, R. G., and Ingledew, D. K. (1999), "Relationship Between Activity Levels, Aerobic Fitness, and Body Fat in 8- to 10-Yew-Old Children," Journal of Applied Physiology, 86, 1428-1435.
34. Rowlands, A. V., Thomas, P. W., Eston, R. G., and Topping, R. (2004), "Validation of the RT3 Triaxial Accelerometer for the Assessment of Physical Activity," Medicine and Science in Sports and Exercise, 36, 518-524.
35. Strauss, R. S., Rodzilshy, D., Burack, G., and Colin, M. (2001), "Psychosocial Correlates of Physical Activity in Healthy Children," Archives of Pediatrics and Adolescent Medicine. 155, 897-902.
36. Talbot, L. A., Gaines, J. M., Huynh, T. N., and Metter, E. J. (2003), "A Home-Based Pedometer-Driven Walking Program to Increase Physical Activity in Older Adults With Osteoarthritis of the Knee: A Preliminary Study," Journal of the American Geriatric Society, 51, 387-392.
37. Vannucci, M., and Corradi, F. (1999), "Covariance Structure of Wavelet Coefficients: Theory and Models in a Bayesian Perspective," Journal of the Royal Statistical Society, Ser. B. 61, 971-986.
38. Vidakovic, B. (1998), "Nonlinear Wavelet Shrinkage With Bayes Rules and Bayes Factors," Journal of the American Statistical Association, 93, 173-179,
39. _ (1999), Statistical Modeling by Wavelets. New York: Wiley.
40. Westerterp, K. R. (1999), "Physical Activity Assessment With Aceelerometers," International Journal of Obesity and Related Metabolic Disorders. 23 (Suppl 3), S45-S49.
41. _ (2002), "Pattern and Intensity of Physical Activity," Nature, 410, 539.