Evidence map›Paper›PMID 27068456›Full record

ArticleBMC medical research methodology2016

A comparison of methods to adjust for continuous covariates in the analysis of randomised trials.

Brennan C Kahan, Helen Rushton, Tim P Morris, Rhian M Daniel

Abstract readComparative Study
In one paragraph

Article in BMC medical research methodology, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 31 papers, 1 of them a synthesis that pooled it.

0numbers the graph read from it
0cells of the map it votes in
31citing papers in PubMed, 1 pooled it
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

31 citing papers in PubMed, 1 synthesis or guideline pooled it.

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4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Brennan C KahanPragmatic Clinical Trials Unit, Queen Mary University of London, London, UK. b.kahan@qmul.ac.uk.
Helen RushtonUniversity of Manchester, Manchester, UK.
Tim P MorrisMRC Clinical Trials Unit at UCL, London School of Hygiene and Tropical Medicine, London, UK.
Rhian M DanielMedical Statistics Department, London School of Hygiene and Tropical Medicine, London, UK.

Funding

Medical Research Council MC_EX_G0800814Medical Research Council MC_UU_12023/21
6 · The paper itself

Abstract

backgroundAlthough covariate adjustment in the analysis of randomised trials can be beneficial, adjustment for continuous covariates is complicated by the fact that the association between covariate and outcome must be specified. Misspecification of this association can lead to reduced power, and potentially incorrect conclusions regarding treatment efficacy.

methodsWe compared several methods of adjustment to determine which is best when the association between covariate and outcome is unknown. We assessed (a) dichotomisation or categorisation; (b) assuming a linear association with outcome; (c) using fractional polynomials with one (FP1) or two (FP2) polynomial terms; and (d) using restricted cubic splines with 3 or 5 knots. We evaluated each method using simulation and through a re-analysis of trial datasets.

resultsMethods which kept covariates as continuous typically had higher power than methods which used categorisation. Dichotomisation, categorisation, and assuming a linear association all led to large reductions in power when the true association was non-linear. FP2 models and restricted cubic splines with 3 or 5 knots performed best overall.

conclusionsFor the analysis of randomised trials we recommend (1) adjusting for continuous covariates even if their association with outcome is unknown; (2) keeping covariates as continuous; and (3) using fractional polynomials with two polynomial terms or restricted cubic splines with 3 to 5 knots when a linear association is in doubt.

Indexed as

Models, StatisticalAlgorithmsComputer SimulationDiethylstilbestrolDisease-Free SurvivalHumansLinear ModelsMaleNeoplasm InvasivenessNeoplasm StagingProportional Hazards ModelsProstatic NeoplasmsRandomized Controlled Trials as TopicSurvival AnalysisTreatment OutcomeDiethylstilbestrolContinuous variablesCovariate adjustmentFractional polynomialsRandomised controlled trialRestricted cubic splines

Identifiers

PMID27068456
PMCPMC4827223

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.