Skip to main content
Top
Published in: Trials 1/2014

Open Access 01-12-2014 | Methodology

The risks and rewards of covariate adjustment in randomized trials: an assessment of 12 outcomes from 8 studies

Authors: Brennan C Kahan, Vipul Jairath, Caroline J Doré, Tim P Morris

Published in: Trials | Issue 1/2014

Login to get access

Abstract

Background

Adjustment for prognostic covariates can lead to increased power in the analysis of randomized trials. However, adjusted analyses are not often performed in practice.

Methods

We used simulation to examine the impact of covariate adjustment on 12 outcomes from 8 studies across a range of therapeutic areas. We assessed (1) how large an increase in power can be expected in practice; and (2) the impact of adjustment for covariates that are not prognostic.

Results

Adjustment for known prognostic covariates led to large increases in power for most outcomes. When power was set to 80% based on an unadjusted analysis, covariate adjustment led to a median increase in power to 92.6% across the 12 outcomes (range 80.6 to 99.4%). Power was increased to over 85% for 8 of 12 outcomes, and to over 95% for 5 of 12 outcomes. Conversely, the largest decrease in power from adjustment for covariates that were not prognostic was from 80% to 78.5%.

Conclusions

Adjustment for known prognostic covariates can lead to substantial increases in power, and should be routinely incorporated into the analysis of randomized trials. The potential benefits of adjusting for a small number of possibly prognostic covariates in trials with moderate or large sample sizes far outweigh the risks of doing so, and so should also be considered.
Appendix
Available only for authorised users
Literature
1.
go back to reference Hernandez AV, Eijkemans MJ, Steyerberg EW: Randomized controlled trials with time-to-event outcomes: how much does prespecified covariate adjustment increase power?. Ann Epidemiol. 2006, 16 (1): 41-48. 10.1016/j.annepidem.2005.09.007.CrossRefPubMed Hernandez AV, Eijkemans MJ, Steyerberg EW: Randomized controlled trials with time-to-event outcomes: how much does prespecified covariate adjustment increase power?. Ann Epidemiol. 2006, 16 (1): 41-48. 10.1016/j.annepidem.2005.09.007.CrossRefPubMed
2.
go back to reference Hernandez AV, Steyerberg EW, Butcher I, Mushkudiani N, Taylor GS, Murray GD, Marmarou A, Choi SC, Lu J, Habbema JD, Maas AI: Adjustment for strong predictors of outcome in traumatic brain injury trials: 25% reduction in sample size requirements in the IMPACT study. J Neurotrauma. 2006, 23 (9): 1295-1303. 10.1089/neu.2006.23.1295.CrossRefPubMed Hernandez AV, Steyerberg EW, Butcher I, Mushkudiani N, Taylor GS, Murray GD, Marmarou A, Choi SC, Lu J, Habbema JD, Maas AI: Adjustment for strong predictors of outcome in traumatic brain injury trials: 25% reduction in sample size requirements in the IMPACT study. J Neurotrauma. 2006, 23 (9): 1295-1303. 10.1089/neu.2006.23.1295.CrossRefPubMed
3.
go back to reference Hernandez AV, Steyerberg EW, Habbema JD: Covariate adjustment in randomized controlled trials with dichotomous outcomes increases statistical power and reduces sample size requirements. J Clin Epidemiol. 2004, 57 (5): 454-460. 10.1016/j.jclinepi.2003.09.014.CrossRefPubMed Hernandez AV, Steyerberg EW, Habbema JD: Covariate adjustment in randomized controlled trials with dichotomous outcomes increases statistical power and reduces sample size requirements. J Clin Epidemiol. 2004, 57 (5): 454-460. 10.1016/j.jclinepi.2003.09.014.CrossRefPubMed
4.
go back to reference Pocock SJ, Assmann SE, Enos LE, Kasten LE: Subgroup analysis, covariate adjustment and baseline comparisons in clinical trial reporting: current practice and problems. Stat Med. 2002, 21 (19): 2917-2930. 10.1002/sim.1296.CrossRefPubMed Pocock SJ, Assmann SE, Enos LE, Kasten LE: Subgroup analysis, covariate adjustment and baseline comparisons in clinical trial reporting: current practice and problems. Stat Med. 2002, 21 (19): 2917-2930. 10.1002/sim.1296.CrossRefPubMed
5.
go back to reference McHugh GS, Butcher I, Steyerberg EW, Marmarou A, Lu J, Lingsma HF, Weir J, Maas AI, Murray GD: A simulation study evaluating approaches to the analysis of ordinal outcome data in randomized controlled trials in traumatic brain injury: results from the IMPACT project. Clin Trials. 2010, 7 (1): 44-57. 10.1177/1740774509356580.CrossRefPubMed McHugh GS, Butcher I, Steyerberg EW, Marmarou A, Lu J, Lingsma HF, Weir J, Maas AI, Murray GD: A simulation study evaluating approaches to the analysis of ordinal outcome data in randomized controlled trials in traumatic brain injury: results from the IMPACT project. Clin Trials. 2010, 7 (1): 44-57. 10.1177/1740774509356580.CrossRefPubMed
6.
go back to reference Negassa A, Hanley JA: The effect of omitted covariates on confidence interval and study power in binary outcome analysis: a simulation study. Contemp Clin Trials. 2007, 28 (3): 242-248. 10.1016/j.cct.2006.08.007.CrossRefPubMed Negassa A, Hanley JA: The effect of omitted covariates on confidence interval and study power in binary outcome analysis: a simulation study. Contemp Clin Trials. 2007, 28 (3): 242-248. 10.1016/j.cct.2006.08.007.CrossRefPubMed
7.
8.
go back to reference Turner EL, Perel P, Clayton T, Edwards P, Hernandez AV, Roberts I, Shakur H, Steyerberg EW: CRASH trial collaborators: Covariate adjustment increased power in randomized controlled trials: an example in traumatic brain injury. J Clin Epidemiol. 2012, 65 (5): 474-481. 10.1016/j.jclinepi.2011.08.012.CrossRefPubMed Turner EL, Perel P, Clayton T, Edwards P, Hernandez AV, Roberts I, Shakur H, Steyerberg EW: CRASH trial collaborators: Covariate adjustment increased power in randomized controlled trials: an example in traumatic brain injury. J Clin Epidemiol. 2012, 65 (5): 474-481. 10.1016/j.jclinepi.2011.08.012.CrossRefPubMed
9.
go back to reference Hauck WW, Anderson S, Marcus SM: Should we adjust for covariates in nonlinear regression analyses of randomized trials?. Control Clin Trials. 1998, 19 (3): 249-256. 10.1016/S0197-2456(97)00147-5.CrossRefPubMed Hauck WW, Anderson S, Marcus SM: Should we adjust for covariates in nonlinear regression analyses of randomized trials?. Control Clin Trials. 1998, 19 (3): 249-256. 10.1016/S0197-2456(97)00147-5.CrossRefPubMed
10.
go back to reference Robinson LD, Jewell NP: Some surprising results about covariate adjustment in logistic regression models. Int Stat Rev. 1991, 58: 227-240.CrossRef Robinson LD, Jewell NP: Some surprising results about covariate adjustment in logistic regression models. Int Stat Rev. 1991, 58: 227-240.CrossRef
11.
go back to reference Kahan BC, Morris TP: Improper analysis of trials randomised using stratified blocks or minimisation. Stat Med. 2012, 31 (4): 328-340. 10.1002/sim.4431.CrossRefPubMed Kahan BC, Morris TP: Improper analysis of trials randomised using stratified blocks or minimisation. Stat Med. 2012, 31 (4): 328-340. 10.1002/sim.4431.CrossRefPubMed
12.
go back to reference Kahan BC, Morris TP: Reporting and analysis of trials using stratified randomisation in leading medical journals: review and reanalysis. BMJ. 2012, 345: e5840-10.1136/bmj.e5840.CrossRefPubMedPubMedCentral Kahan BC, Morris TP: Reporting and analysis of trials using stratified randomisation in leading medical journals: review and reanalysis. BMJ. 2012, 345: e5840-10.1136/bmj.e5840.CrossRefPubMedPubMedCentral
13.
go back to reference Kahan BC, Morris TP: Assessing potential sources of clustering in individually randomised trials. BMC Med Res Methodol. 2013, 13 (1): 58-10.1186/1471-2288-13-58.CrossRefPubMedPubMedCentral Kahan BC, Morris TP: Assessing potential sources of clustering in individually randomised trials. BMC Med Res Methodol. 2013, 13 (1): 58-10.1186/1471-2288-13-58.CrossRefPubMedPubMedCentral
14.
go back to reference Parzen M, Lipsitz SR, Dear KBG: Does clustering affect the usual test statistics of no treatment effect in a randomized clinical trial?. Biom J. 1998, 40: 385-402. 10.1002/(SICI)1521-4036(199808)40:4<385::AID-BIMJ385>3.0.CO;2-#.CrossRef Parzen M, Lipsitz SR, Dear KBG: Does clustering affect the usual test statistics of no treatment effect in a randomized clinical trial?. Biom J. 1998, 40: 385-402. 10.1002/(SICI)1521-4036(199808)40:4<385::AID-BIMJ385>3.0.CO;2-#.CrossRef
15.
go back to reference Austin PC, Manca A, Zwarenstein M, Juurlink DN, Stanbrook MB: A substantial and confusing variation exists in handling of baseline covariates in randomized controlled trials: a review of trials published in leading medical journals. J Clin Epidemiol. 2010, 63 (2): 142-153. 10.1016/j.jclinepi.2009.06.002.CrossRefPubMed Austin PC, Manca A, Zwarenstein M, Juurlink DN, Stanbrook MB: A substantial and confusing variation exists in handling of baseline covariates in randomized controlled trials: a review of trials published in leading medical journals. J Clin Epidemiol. 2010, 63 (2): 142-153. 10.1016/j.jclinepi.2009.06.002.CrossRefPubMed
16.
go back to reference Hernandez AV, Steyerberg EW, Taylor GS, Marmarou A, Habbema JD, Maas AI: Subgroup analysis and covariate adjustment in randomized clinical trials of traumatic brain injury: a systematic review. Neurosurgery. 2005, 57 (6): 1244-1253. 10.1227/01.NEU.0000186039.57548.96. Discussion, 1253CrossRefPubMed Hernandez AV, Steyerberg EW, Taylor GS, Marmarou A, Habbema JD, Maas AI: Subgroup analysis and covariate adjustment in randomized clinical trials of traumatic brain injury: a systematic review. Neurosurgery. 2005, 57 (6): 1244-1253. 10.1227/01.NEU.0000186039.57548.96. Discussion, 1253CrossRefPubMed
17.
go back to reference Assmann SF, Pocock SJ, Enos LE, Kasten LE: Subgroup analysis and other (mis)uses of baseline data in clinical trials. Lancet. 2000, 355 (9209): 1064-1069. 10.1016/S0140-6736(00)02039-0.CrossRefPubMed Assmann SF, Pocock SJ, Enos LE, Kasten LE: Subgroup analysis and other (mis)uses of baseline data in clinical trials. Lancet. 2000, 355 (9209): 1064-1069. 10.1016/S0140-6736(00)02039-0.CrossRefPubMed
18.
go back to reference Yu LM, Chan AW, Hopewell S, Deeks JJ, Altman DG: Reporting on covariate adjustment in randomised controlled trials before and after revision of the 2001 CONSORT statement: a literature review. Trials. 2010, 11: 59-10.1186/1745-6215-11-59.CrossRefPubMedPubMedCentral Yu LM, Chan AW, Hopewell S, Deeks JJ, Altman DG: Reporting on covariate adjustment in randomised controlled trials before and after revision of the 2001 CONSORT statement: a literature review. Trials. 2010, 11: 59-10.1186/1745-6215-11-59.CrossRefPubMedPubMedCentral
19.
go back to reference Saquib N, Saquib J, Ioannidis JP: Practices and impact of primary outcome adjustment in randomized controlled trials: meta-epidemiologic study. BMJ. 2013, 347: f4313-10.1136/bmj.f4313.CrossRefPubMedPubMedCentral Saquib N, Saquib J, Ioannidis JP: Practices and impact of primary outcome adjustment in randomized controlled trials: meta-epidemiologic study. BMJ. 2013, 347: f4313-10.1136/bmj.f4313.CrossRefPubMedPubMedCentral
20.
go back to reference Schott JM, Bartlett JW, Barnes J, Leung KK, Ourselin S, Fox NC: Reduced sample sizes for atrophy outcomes in Alzheimer’s disease trials: baseline adjustment. Neurobiol Aging. 2010, 31 (8): 1452-1462. 10.1016/j.neurobiolaging.2010.04.011. e2CrossRefPubMedPubMedCentral Schott JM, Bartlett JW, Barnes J, Leung KK, Ourselin S, Fox NC: Reduced sample sizes for atrophy outcomes in Alzheimer’s disease trials: baseline adjustment. Neurobiol Aging. 2010, 31 (8): 1452-1462. 10.1016/j.neurobiolaging.2010.04.011. e2CrossRefPubMedPubMedCentral
21.
go back to reference Rahman NM, Maskell NA, West A, Teoh R, Arnold A, Mackinlay C, Peckham D, Davies CW, Ali N, Kinnear W, Bentley A, Kahan BC, Wrightson JM, Davies HE, Hooper CE, Lee YC, Hedley EL, Crosthwaite N, Choo L, Helm EJ, Gleeson FV, Nunn AJ, Davies RJ: Intrapleural use of tissue plasminogen activator and DNase in pleural infection. N Engl J Med. 2011, 365 (6): 518-526. 10.1056/NEJMoa1012740.CrossRefPubMed Rahman NM, Maskell NA, West A, Teoh R, Arnold A, Mackinlay C, Peckham D, Davies CW, Ali N, Kinnear W, Bentley A, Kahan BC, Wrightson JM, Davies HE, Hooper CE, Lee YC, Hedley EL, Crosthwaite N, Choo L, Helm EJ, Gleeson FV, Nunn AJ, Davies RJ: Intrapleural use of tissue plasminogen activator and DNase in pleural infection. N Engl J Med. 2011, 365 (6): 518-526. 10.1056/NEJMoa1012740.CrossRefPubMed
22.
go back to reference Pocock SJ, Simon R: Sequential treatment assignment with balancing for prognostic factors in the controlled clinical trial. Biometrics. 1975, 31 (1): 103-115. 10.2307/2529712.CrossRefPubMed Pocock SJ, Simon R: Sequential treatment assignment with balancing for prognostic factors in the controlled clinical trial. Biometrics. 1975, 31 (1): 103-115. 10.2307/2529712.CrossRefPubMed
23.
go back to reference Rosenberger WF, Lachin JM: Randomization in Clinical Trials: Theory and Practice. 2002, New York: WileyCrossRef Rosenberger WF, Lachin JM: Randomization in Clinical Trials: Theory and Practice. 2002, New York: WileyCrossRef
24.
go back to reference Scott NW, McPherson GC, Ramsay CR, Campbell MK: The method of minimization for allocation to clinical trials: a review. Control Clin Trials. 2002, 23 (6): 662-674. 10.1016/S0197-2456(02)00242-8.CrossRefPubMed Scott NW, McPherson GC, Ramsay CR, Campbell MK: The method of minimization for allocation to clinical trials: a review. Control Clin Trials. 2002, 23 (6): 662-674. 10.1016/S0197-2456(02)00242-8.CrossRefPubMed
25.
go back to reference Taves DR: Minimization: a new method of assigning patients to treatment and control groups. Clin Pharmacol Ther. 1974, 15 (5): 443-453.CrossRefPubMed Taves DR: Minimization: a new method of assigning patients to treatment and control groups. Clin Pharmacol Ther. 1974, 15 (5): 443-453.CrossRefPubMed
26.
go back to reference Van Breukelen GJ: ANCOVA versus change from baseline: more power in randomized studies, more bias in nonrandomized studies [corrected]. J Clin Epidemiol. 2006, 59 (9): 920-925. 10.1016/j.jclinepi.2006.02.007.CrossRefPubMed Van Breukelen GJ: ANCOVA versus change from baseline: more power in randomized studies, more bias in nonrandomized studies [corrected]. J Clin Epidemiol. 2006, 59 (9): 920-925. 10.1016/j.jclinepi.2006.02.007.CrossRefPubMed
27.
go back to reference Egbewale BE, Lewis M, Sim J: Bias, precision and statistical power of analysis of covariance in the analysis of randomized trials with baseline imbalance: a simulation study. BMC Med Res Methodol. 2014, 14: 49-10.1186/1471-2288-14-49. doi:10.1186/1471-2288-14-49CrossRefPubMedPubMedCentral Egbewale BE, Lewis M, Sim J: Bias, precision and statistical power of analysis of covariance in the analysis of randomized trials with baseline imbalance: a simulation study. BMC Med Res Methodol. 2014, 14: 49-10.1186/1471-2288-14-49. doi:10.1186/1471-2288-14-49CrossRefPubMedPubMedCentral
28.
go back to reference Kahan BC, Morris TP: Analysis of multicentre trials with continuous outcomes: when and how should we account for centre effects?. Stat Med. 2013, 32 (7): 1136-1149. 10.1002/sim.5667.CrossRefPubMed Kahan BC, Morris TP: Analysis of multicentre trials with continuous outcomes: when and how should we account for centre effects?. Stat Med. 2013, 32 (7): 1136-1149. 10.1002/sim.5667.CrossRefPubMed
29.
go back to reference Kahan BC, Morris TP: Adjusting for multiple prognostic factors in the analysis of randomised trials. BMC Med Res Methodol. 2013, 13: 99-10.1186/1471-2288-13-99.CrossRefPubMedPubMedCentral Kahan BC, Morris TP: Adjusting for multiple prognostic factors in the analysis of randomised trials. BMC Med Res Methodol. 2013, 13: 99-10.1186/1471-2288-13-99.CrossRefPubMedPubMedCentral
30.
go back to reference White IR, Thompson SG: Adjusting for partially missing baseline measurements in randomized trials. Stat Med. 2005, 24 (7): 993-1007. 10.1002/sim.1981.CrossRefPubMed White IR, Thompson SG: Adjusting for partially missing baseline measurements in randomized trials. Stat Med. 2005, 24 (7): 993-1007. 10.1002/sim.1981.CrossRefPubMed
31.
go back to reference Raab GM, Day S, Sales J: How to select covariates to include in the analysis of a clinical trial. Control Clin Trials. 2000, 21 (4): 330-342. 10.1016/S0197-2456(00)00061-1.CrossRefPubMed Raab GM, Day S, Sales J: How to select covariates to include in the analysis of a clinical trial. Control Clin Trials. 2000, 21 (4): 330-342. 10.1016/S0197-2456(00)00061-1.CrossRefPubMed
32.
go back to reference Jairath V, Kahan BC, Logan RF, Hearnshaw SA, Dore CJ, Travis SP, Murphy MF, Palmer KR: National audit of the use of surgery and radiological embolization after failed endoscopic haemostasis for non-variceal upper gastrointestinal bleeding. Br J Surg. 2012, 99 (12): 1672-1680. 10.1002/bjs.8932.CrossRefPubMed Jairath V, Kahan BC, Logan RF, Hearnshaw SA, Dore CJ, Travis SP, Murphy MF, Palmer KR: National audit of the use of surgery and radiological embolization after failed endoscopic haemostasis for non-variceal upper gastrointestinal bleeding. Br J Surg. 2012, 99 (12): 1672-1680. 10.1002/bjs.8932.CrossRefPubMed
33.
go back to reference Jairath V, Kahan BC, Logan RF, Hearnshaw SA, Dore CJ, Travis SP, Murphy MF, Palmer KR: Outcomes following acute nonvariceal upper gastrointestinal bleeding in relation to time to endoscopy: results from a nationwide study. Endoscopy. 2012, 44 (8): 723-730.CrossRefPubMed Jairath V, Kahan BC, Logan RF, Hearnshaw SA, Dore CJ, Travis SP, Murphy MF, Palmer KR: Outcomes following acute nonvariceal upper gastrointestinal bleeding in relation to time to endoscopy: results from a nationwide study. Endoscopy. 2012, 44 (8): 723-730.CrossRefPubMed
34.
go back to reference Jairath V, Kahan BC, Logan RF, Hearnshaw SA, Travis SP, Murphy MF, Palmer KR: Mortality from acute upper gastrointestinal bleeding in the United Kingdom: does it display a ‘weekend effect’?. Am J Gastroenterol. 2011, 106 (9): 1621-1628. 10.1038/ajg.2011.172.CrossRefPubMed Jairath V, Kahan BC, Logan RF, Hearnshaw SA, Travis SP, Murphy MF, Palmer KR: Mortality from acute upper gastrointestinal bleeding in the United Kingdom: does it display a ‘weekend effect’?. Am J Gastroenterol. 2011, 106 (9): 1621-1628. 10.1038/ajg.2011.172.CrossRefPubMed
35.
go back to reference Jairath V, Kahan BC, Stanworth SJ, Logan RF, Hearnshaw SA, Travis SP, Palmer KR, Murphy MF: Prevalence, management, and outcomes of patients with coagulopathy after acute nonvariceal upper gastrointestinal bleeding in the United Kingdom. Transfusion. 2013, 53 (5): 1069-1076. 10.1111/j.1537-2995.2012.03849.x.CrossRefPubMed Jairath V, Kahan BC, Stanworth SJ, Logan RF, Hearnshaw SA, Travis SP, Palmer KR, Murphy MF: Prevalence, management, and outcomes of patients with coagulopathy after acute nonvariceal upper gastrointestinal bleeding in the United Kingdom. Transfusion. 2013, 53 (5): 1069-1076. 10.1111/j.1537-2995.2012.03849.x.CrossRefPubMed
36.
go back to reference McGregor AH, Dore CJ, Morris TP, Morris S, Jamrozik K: ISSLS prize winner: Function After Spinal Treatment, Exercise, and Rehabilitation (FASTER): a factorial randomized trial to determine whether the functional outcome of spinal surgery can be improved. Spine (Phila Pa 1976). 2011, 36 (21): 1711-1720. 10.1097/BRS.0b013e318214e3e6.CrossRef McGregor AH, Dore CJ, Morris TP, Morris S, Jamrozik K: ISSLS prize winner: Function After Spinal Treatment, Exercise, and Rehabilitation (FASTER): a factorial randomized trial to determine whether the functional outcome of spinal surgery can be improved. Spine (Phila Pa 1976). 2011, 36 (21): 1711-1720. 10.1097/BRS.0b013e318214e3e6.CrossRef
37.
go back to reference Craig SE, Kohler M, Nicoll D, Bratton DJ, Nunn A, Davies R, Stradling J: Continuous positive airway pressure improves sleepiness but not calculated vascular risk in patients with minimally symptomatic obstructive sleep apnoea: the MOSAIC randomised controlled trial. Thorax. 2012, 67 (12): 1090-1096. 10.1136/thoraxjnl-2012-202178.CrossRefPubMed Craig SE, Kohler M, Nicoll D, Bratton DJ, Nunn A, Davies R, Stradling J: Continuous positive airway pressure improves sleepiness but not calculated vascular risk in patients with minimally symptomatic obstructive sleep apnoea: the MOSAIC randomised controlled trial. Thorax. 2012, 67 (12): 1090-1096. 10.1136/thoraxjnl-2012-202178.CrossRefPubMed
38.
go back to reference Christensen E, Neuberger J, Crowe J, Altman DG, Popper H, Portmann B, Doniach D, Ranek L, Tygstrup N, Williams R: Beneficial effect of azathioprine and prediction of prognosis in primary biliary cirrhosis. Final results of an international trial. Gastroenterology. 1985, 89 (5): 1084-1091.CrossRefPubMed Christensen E, Neuberger J, Crowe J, Altman DG, Popper H, Portmann B, Doniach D, Ranek L, Tygstrup N, Williams R: Beneficial effect of azathioprine and prediction of prognosis in primary biliary cirrhosis. Final results of an international trial. Gastroenterology. 1985, 89 (5): 1084-1091.CrossRefPubMed
39.
go back to reference Carr R, Brocklehurst P, Dore CJ, Modi N: Granulocyte-macrophage colony stimulating factor administered as prophylaxis for reduction of sepsis in extremely preterm, small for gestational age neonates (the PROGRAMS trial): a single-blind, multicentre, randomised controlled trial. Lancet. 2009, 373 (9659): 226-233. 10.1016/S0140-6736(09)60071-4.CrossRefPubMed Carr R, Brocklehurst P, Dore CJ, Modi N: Granulocyte-macrophage colony stimulating factor administered as prophylaxis for reduction of sepsis in extremely preterm, small for gestational age neonates (the PROGRAMS trial): a single-blind, multicentre, randomised controlled trial. Lancet. 2009, 373 (9659): 226-233. 10.1016/S0140-6736(09)60071-4.CrossRefPubMed
40.
go back to reference Medical Research Council Renal Cancer Collaborators: Interferon-α and survival in metastatic renal carcinoma: early results of a randomised controlled trial. Lancet. 1999, 353 (9146): 14-17.CrossRef Medical Research Council Renal Cancer Collaborators: Interferon-α and survival in metastatic renal carcinoma: early results of a randomised controlled trial. Lancet. 1999, 353 (9146): 14-17.CrossRef
41.
go back to reference Davies HE, Mishra EK, Kahan BC, Wrightson JM, Stanton AE, Guhan A, Davies CW, Grayez J, Harrison R, Prasad A, Crosthwaite N, Lee YC, Davies RJ, Miller RF, Rahman NM: Effect of an indwelling pleural catheter vs chest tube and talc pleurodesis for relieving dyspnea in patients with malignant pleural effusion: the TIME2 randomized controlled trial. JAMA. 2012, 307 (22): 2383-2389. 10.1001/jama.2012.5535.CrossRefPubMed Davies HE, Mishra EK, Kahan BC, Wrightson JM, Stanton AE, Guhan A, Davies CW, Grayez J, Harrison R, Prasad A, Crosthwaite N, Lee YC, Davies RJ, Miller RF, Rahman NM: Effect of an indwelling pleural catheter vs chest tube and talc pleurodesis for relieving dyspnea in patients with malignant pleural effusion: the TIME2 randomized controlled trial. JAMA. 2012, 307 (22): 2383-2389. 10.1001/jama.2012.5535.CrossRefPubMed
42.
go back to reference Chan AW, Tetzlaff JM, Gotzsche PC, Altman DG, Mann H, Berlin JA, Dickersin K, Hróbjartsson A, Schulz KF, Parulekar WR, Krleza-Jeric K, Laupacis A, Moher D: SPIRIT 2013 explanation and elaboration: guidance for protocols of clinical trials. BMJ. 2013, 346: e7586-10.1136/bmj.e7586.CrossRefPubMedPubMedCentral Chan AW, Tetzlaff JM, Gotzsche PC, Altman DG, Mann H, Berlin JA, Dickersin K, Hróbjartsson A, Schulz KF, Parulekar WR, Krleza-Jeric K, Laupacis A, Moher D: SPIRIT 2013 explanation and elaboration: guidance for protocols of clinical trials. BMJ. 2013, 346: e7586-10.1136/bmj.e7586.CrossRefPubMedPubMedCentral
43.
go back to reference ICH: Harmonised tripartite guideline ICH. Statistical principles for clinical trials. International Conference on Harmonisation E9 Expert Working Group. Stat Med. 1999, 18 (15): 1905-1942. ICH: Harmonised tripartite guideline ICH. Statistical principles for clinical trials. International Conference on Harmonisation E9 Expert Working Group. Stat Med. 1999, 18 (15): 1905-1942.
44.
go back to reference Chu R, Thabane L, Ma J, Holbrook A, Pullenayegum E, Devereaux PJ: Comparing methods to estimate treatment effects on a continuous outcome in multicentre randomized controlled trials: a simulation study. BMC Med Res Methodol. 2011, 11: 21-10.1186/1471-2288-11-21.CrossRefPubMedPubMedCentral Chu R, Thabane L, Ma J, Holbrook A, Pullenayegum E, Devereaux PJ: Comparing methods to estimate treatment effects on a continuous outcome in multicentre randomized controlled trials: a simulation study. BMC Med Res Methodol. 2011, 11: 21-10.1186/1471-2288-11-21.CrossRefPubMedPubMedCentral
45.
go back to reference Agresti A, Hartzel J: Strategies for comparing treatments on a binary response with multi-centre data. Stat Med. 2000, 19 (8): 1115-1139. 10.1002/(SICI)1097-0258(20000430)19:8<1115::AID-SIM408>3.0.CO;2-X.CrossRefPubMed Agresti A, Hartzel J: Strategies for comparing treatments on a binary response with multi-centre data. Stat Med. 2000, 19 (8): 1115-1139. 10.1002/(SICI)1097-0258(20000430)19:8<1115::AID-SIM408>3.0.CO;2-X.CrossRefPubMed
Metadata
Title
The risks and rewards of covariate adjustment in randomized trials: an assessment of 12 outcomes from 8 studies
Authors
Brennan C Kahan
Vipul Jairath
Caroline J Doré
Tim P Morris
Publication date
01-12-2014
Publisher
BioMed Central
Published in
Trials / Issue 1/2014
Electronic ISSN: 1745-6215
DOI
https://doi.org/10.1186/1745-6215-15-139

Other articles of this Issue 1/2014

Trials 1/2014 Go to the issue