Estimating the sample mean and standard deviation from commonly reported quantiles in meta-analysis
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A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
No Canadian affiliation. An affiliation-only frame — the usual design — would never have seen this work. It is one of the works that make the case for inverting the frame.
Abstract
Researchers increasingly use meta-analysis to synthesize the results of several studies in order to estimate a common effect. When the outcome variable is continuous, standard meta-analytic approaches assume that the primary studies report the sample mean and standard deviation of the outcome. However, when the outcome is skewed, authors sometimes summarize the data by reporting the sample median and one or both of (i) the minimum and maximum values and (ii) the first and third quartiles, but do not report the mean or standard deviation. To include these studies in meta-analysis, several methods have been developed to estimate the sample mean and standard deviation from the reported summary data. A major limitation of these widely used methods is that they assume that the outcome distribution is normal, which is unlikely to be tenable for studies reporting medians. We propose two novel approaches to estimate the sample mean and standard deviation when data are suspected to be non-normal. Our simulation results and empirical assessments show that the proposed methods often perform better than the existing methods when applied to non-normal data.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
The record
- Venue
- Pure Amsterdam UMC
- Topic
- Hemodynamic Monitoring and Therapy
- Field
- Medicine
- Canadian institutions
- —
- Funders
- Canadian Arthritis NetworkEunice Kennedy Shriver National Institute of Child Health and Human DevelopmentNational Center for Research ResourcesNational Institute of Diabetes and Digestive and Kidney DiseasesNational Institute of Mental HealthHealth Research Council of New ZealandNational Health and Medical Research CouncilMedical Research CouncilNational Center for Medical Rehabilitation ResearchFonds de Recherche du Québec - SantéNational Institute on Disability and Rehabilitation ResearchAgency for Healthcare Research and QualityMcGill University Health CentreNational Institutes of HealthNational Institute of General Medical SciencesH. Lundbeck A/SCenters for Disease Control and PreventionChinese Diabetes SocietyAlberta Health ServicesJewish General HospitalAlberta InnovatesCumming School of Medicine, University of CalgaryUniversidade de MacauSafe Work AustraliaNational Heart, Lung, and Blood InstituteTehran University of Medical Sciences and Health ServicesBundesministerium für Bildung und ForschungDeutsche RentenversicherungNational Institute on Minority Health and Health DisparitiesMcGill UniversityEli Lilly and CompanyFogarty International CenterCanadian Institutes of Health ResearchUniversity of WashingtonFaculty of Medicine, McGill UniversityOhio Board of Regents
- Keywords
- Standard deviationStatisticsQuartileQuantileStandard errorSample size determinationSample mean and sample covarianceMeta-analysisPooled varianceNormal distributionSample (material)MathematicsEconometricsMedicineConfidence intervalEstimator
- Has abstract in OpenAlex
- yes