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World J Methodol. Jun 26, 2012; 2(3): 24-26
Published online Jun 26, 2012. doi: 10.5662/wjm.v2.i3.24
Use of the varying coefficient model in an exercise and depression meta-analysis
George A Kelley, Kristi S Kelley
George A Kelley, Kristi S Kelley, Meta-Analytic Research Group, Department of Community Medicine, School of Medicine, Robert C Byrd Health Sciences Center, West Virginia University, Morgantown, WV 26506, United States
Author contributions: Kelley GA and Kelley KS made substantial contributions with respect to the conception and design, acquisition of data and analysis and interpretation of data, drafting the article and revising it critically for important intellectual content, and approving the final version to be published.
Correspondence to: George A Kelley, FACSM, Professor, Director, Meta-Analytic Research Group, Department of Community Medicine, School of Medicine, Robert C Byrd Health Sciences Center, West Virginia University, PO Box 9190, Morgantown, WV 26506-9190, United States. gkelley@hsc.wvu.edu
Telephone: +1-304-2936279 Fax:+1-304-2935891
Received: November 20, 2011
Revised: March 19, 2012
Accepted: March 25, 2012
Published online: June 26, 2012
Abstract

AIM: Use a recently developed varying coefficient model to determine the effects of exercise in adults with depression.

METHODS: Data from a recent meta-analysis addressing the effects of exercise on depression in adults were used. Studies were limited to randomized controlled intervention trials of any type of chronic exercise (for example, walking and jogging) in adults greater than or equal to 18 years of age with a diagnosis of depression. For each study, the standardized mean difference (exercise minus control) effect size for depression, adjusted for small-sample bias, was calculated. Variance statistics for each effect size and pooling of results were calculated using the recently proposed varying coefficient (VC) model for standardized mean differences. Standardized effect-sizes of 0.20, 0.50 and 0.80 were considered to represent small, medium and large effects. Results were considered statistically significant if the 95% confidence intervals did not cross 0, with negative results indicative of reductions in depression. These findings were then compared with results using traditional random-effects (RE) models.

RESULTS: A total of 23 studies representing 907 men and women (476 exercise, 431 control) were pooled for analysis. Both RE and VC models resulted in large, statistically significant improvements in depression as a result of exercise in adults. However, the VC model resulted in a larger overall effect size as well as confidence intervals that were narrower than previously reported using the RE model. The overall mean effect size for the RE model was -0.82 with a 95% confidence interval of -1.12 to -0.51. For the VC model, overall mean effect size was -0.88 with a 95% confidence interval of -1.08 to -0.68. The relative difference between the RE and VC approaches was 7.3%.

CONCLUSION: The VC model, a potentially preferable model, confirms the positive effects of exercise on depression in adults.

Keywords: Random-effects; Meta-analysis; Varying coefficient; Exercise; Depression