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Published in: Systematic Reviews 1/2015

Open Access 01-12-2015 | Research

Do alternative methods for analysing count data produce similar estimates? Implications for meta-analyses

Authors: Peter Herbison, M. Clare Robertson, Joanne E. McKenzie

Published in: Systematic Reviews | Issue 1/2015

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Abstract

Background

Many randomised trials have count outcomes, such as the number of falls or the number of asthma exacerbations. These outcomes have been treated as counts, continuous outcomes or dichotomised and analysed using a variety of analytical methods. This study examines whether different methods of analysis yield estimates of intervention effect that are similar enough to be reasonably pooled in a meta-analysis.

Methods

Data were simulated for 10,000 randomised trials under three different amounts of overdispersion, four different event rates and two effect sizes. Each simulated trial was analysed using nine different methods of analysis: rate ratio, Poisson regression, negative binomial regression, risk ratio from dichotomised data, survival to the first event, two methods of adjusting for multiple survival times, ratio of means and ratio of medians. Individual patient data was gathered from eight fall prevention trials, and similar analyses were undertaken.

Results

All methods produced similar effect sizes when there was no difference between treatments. Results were similar when there was a moderate difference with two exceptions when the event became more common: (1) risk ratios computed from dichotomised count outcomes and hazard ratios from survival analysis of the time to the first event yielded intervention effects that differed from rate ratios estimated from the negative binomial model (reference model) and (2) the precision of the estimates differed depending on the method used, which may affect both the pooled intervention effect and the observed heterogeneity.
The results of the case study of individual data from eight trials evaluating exercise programmes to prevent falls in older people supported the simulation study findings.

Conclusions

Information about the differences in treatments is lost when event rates increase and the outcome is dichotomised or time to the first event is analysed otherwise similar results are obtained. Further research is needed to examine the effect of differing variances from the different methods on the confidence intervals of pooled estimates.
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Literature
1.
go back to reference Cameron AC, Trivedi PK. Regression analysis of count data. 2nd ed. Cambridge: Cambridge University Press; 2013. Cameron AC, Trivedi PK. Regression analysis of count data. 2nd ed. Cambridge: Cambridge University Press; 2013.
3.
go back to reference Donaldson MG, Sobolev B, Cook WL, Janssen PA, Khan KM. Analysis of recurrent events: a systematic review of randomised controlled trials of interventions to prevent falls. Age Ageing. 2009;38(2):151–5. doi:10.1093/ageing/afn279.CrossRefPubMed Donaldson MG, Sobolev B, Cook WL, Janssen PA, Khan KM. Analysis of recurrent events: a systematic review of randomised controlled trials of interventions to prevent falls. Age Ageing. 2009;38(2):151–5. doi:10.​1093/​ageing/​afn279.CrossRefPubMed
4.
go back to reference Friedrich JO, Adhikari NK, Beyene J. The ratio of means method as an alternative to mean differences for analyzing continuous outcome variables in meta-analysis: a simulation study. BMC Med Res Methodol. 2008;8:32.PubMedCentralCrossRefPubMed Friedrich JO, Adhikari NK, Beyene J. The ratio of means method as an alternative to mean differences for analyzing continuous outcome variables in meta-analysis: a simulation study. BMC Med Res Methodol. 2008;8:32.PubMedCentralCrossRefPubMed
5.
go back to reference Gillespie LD, Robertson MC, Gillespie WJ, Lamb SE, Gates S, Cumming RG, Rowe BH. Interventions for preventing falls in older people living in the community. Cochrane Database of Systematic Reviews 2009, Issue 2. Art. No.: CD007146. doi:10.1002/14651858.CD007146.pub2. Gillespie LD, Robertson MC, Gillespie WJ, Lamb SE, Gates S, Cumming RG, Rowe BH. Interventions for preventing falls in older people living in the community. Cochrane Database of Systematic Reviews 2009, Issue 2. Art. No.: CD007146. doi:10.​1002/​14651858.​CD007146.​pub2.
7.
go back to reference Hilbe JM. Negative binomial regression. 2nd ed. Cambridge: Cambridge University Press; 2011.CrossRef Hilbe JM. Negative binomial regression. 2nd ed. Cambridge: Cambridge University Press; 2011.CrossRef
8.
go back to reference Cox DR. Regression models and life-tables. Journal of the Royal Statistics Society, Series B. 1972;34(2):187–220. Cox DR. Regression models and life-tables. Journal of the Royal Statistics Society, Series B. 1972;34(2):187–220.
9.
10.
go back to reference Andersen PK, Gill RD. Cox’s regression model for counting processes: a large sample study. Ann Stat. 1982;10(4):1100–20.CrossRef Andersen PK, Gill RD. Cox’s regression model for counting processes: a large sample study. Ann Stat. 1982;10(4):1100–20.CrossRef
11.
go back to reference Robertson MC, Campbell AJ, Herbison P. Statistical analysis of efficacy in falls prevention trials. Journals of Gerontology Series A-Biological Sciences & Medical Sciences. 2005;60(4):530–4. doi:10.1093/gerona/60.4.530.CrossRef Robertson MC, Campbell AJ, Herbison P. Statistical analysis of efficacy in falls prevention trials. Journals of Gerontology Series A-Biological Sciences & Medical Sciences. 2005;60(4):530–4. doi:10.​1093/​gerona/​60.​4.​530.CrossRef
15.
16.
go back to reference Harris RJ, Bradburn MJ, Deeks JJ, Harbord RM, Altman DG, Sterne JAC. Metan: fixed- and random-effects meta-analysis. Stata J. 2008;8(1):3–28. Harris RJ, Bradburn MJ, Deeks JJ, Harbord RM, Altman DG, Sterne JAC. Metan: fixed- and random-effects meta-analysis. Stata J. 2008;8(1):3–28.
19.
21.
go back to reference Campbell AJ, Robertson MC, Gardner MM, Norton RN, Buchner DM. Psychotropic medication withdrawal and a home-based exercise program to prevent falls: a randomized, controlled trial. J Am Geriatr Soc. 1999;47(7):850–3.CrossRefPubMed Campbell AJ, Robertson MC, Gardner MM, Norton RN, Buchner DM. Psychotropic medication withdrawal and a home-based exercise program to prevent falls: a randomized, controlled trial. J Am Geriatr Soc. 1999;47(7):850–3.CrossRefPubMed
23.
go back to reference Lord SR, Ward JA, Williams P, Strudwick M. The effect of a 12-month exercise trial on balance, strength, and falls in older women: a randomized controlled trial. J Am Geriatr Soc. 1995;43(11):1198–206.CrossRefPubMed Lord SR, Ward JA, Williams P, Strudwick M. The effect of a 12-month exercise trial on balance, strength, and falls in older women: a randomized controlled trial. J Am Geriatr Soc. 1995;43(11):1198–206.CrossRefPubMed
25.
go back to reference Skelton D, Dinan S, Campbell M, Rutherford O. Tailored group exercise (Falls Management Exercise—FaME) reduces falls in community-dwelling older frequent fallers (an RCT). Age Ageing. 2005;34(6):636–9. doi:10.1093/ageing/afi174.CrossRefPubMed Skelton D, Dinan S, Campbell M, Rutherford O. Tailored group exercise (Falls Management Exercise—FaME) reduces falls in community-dwelling older frequent fallers (an RCT). Age Ageing. 2005;34(6):636–9. doi:10.​1093/​ageing/​afi174.CrossRefPubMed
26.
go back to reference Slymen DJ, Ayala GX, Arredondo EM, Elder JP. A demonstration of modeling count data with an application to physical activity. Epidemiologic Perspectives & Innovations. 2006;3:3. doi:10.1186/1742-5573-3-3.CrossRef Slymen DJ, Ayala GX, Arredondo EM, Elder JP. A demonstration of modeling count data with an application to physical activity. Epidemiologic Perspectives & Innovations. 2006;3:3. doi:10.​1186/​1742-5573-3-3.CrossRef
Metadata
Title
Do alternative methods for analysing count data produce similar estimates? Implications for meta-analyses
Authors
Peter Herbison
M. Clare Robertson
Joanne E. McKenzie
Publication date
01-12-2015
Publisher
BioMed Central
Published in
Systematic Reviews / Issue 1/2015
Electronic ISSN: 2046-4053
DOI
https://doi.org/10.1186/s13643-015-0144-x

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