D-optimality of unequal versus equal cluster sizes for mixed effects linear regression analysis of randomized trials with clusters in one treatment arm

Computational Statistics and Data Analysis

Volumn 54, Issue 8, 2010, Pages 1906-1920

  Candel, Math J J M ^a   Van Breukelen, Gerard J P ^a  

^a MAASTRICHT UNIVERSITY   (Netherlands)

Author keywords

Asymptotic relative efficiency; Clustering effects of treatments; D criterion; Ds criterion; Optimal design; Varying cluster sizes

Indexed keywords

ASYMPTOTIC RELATIVE EFFICIENCY; CLUSTER SIZES; CLUSTERING EFFECT; COST-EFFICIENT; D-OPTIMALITY; EFFICIENCY LOSS; FIXED EFFECTS; MIXED EFFECTS; MONTE CARLO SIMULATION; NUMBER OF CLUSTERS; OPTIMAL DESIGN; RANDOMIZED TRIAL; SAMPLE SIZES; SMALL SAMPLE SIZE; TAYLOR APPROXIMATION;

ASYMPTOTIC ANALYSIS; CLUSTER ANALYSIS; COMPUTER SIMULATION; DESIGN; MONTE CARLO METHODS; OPTIMAL SYSTEMS; REGRESSION ANALYSIS;

MAXIMUM LIKELIHOOD ESTIMATION;

EID: 77950863255     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2010.02.020     Document Type: Article

References (40)

1. Anderson T.W. An Introduction to Multivariate Statistical Analysis (1958), Wiley, New York
2. Atkinson A.C., Donev A.N., and Tobias R.D. Optimum Experimental Design (2007), Oxford University Press, Oxford
3. Bauer D.J., Sterba S.K., and Hallfors D.D. Evaluating group-based interventions when control participants are ungrouped. Multivariate Behavioral Research 43 (2008) 210-236
4. Brown H., and Prescott R. Applied Mixed Models in Medicine (2006), Wiley, Chichester
5. Calzone K.A., Prindiville S.A., Jourkiv O., Jenkins J., DeCarvalho M., Wallerstedt D.B., Leiwehr D.J., Steinberg S.M., Soballe P.W., Lipkowitz S., Klein P., and Kirsch I.R. Randomized comparison of group versus individual genetic education and counseling for familial breast and/or ovarian cancer. Journal of Clinical Oncology 23 (2005) 3455-3464
6. Candel M.J.J.M., and Van Breukelen G.J.P. Varying cluster sizes in trials with clusters in one treatment arm: sample size adjustments when testing treatment effects with linear mixed models. Statistics in Medicine 28 (2009) 2307-2324
7. Candel M.J.J.M., Van Breukelen G.J.P., Kotova L., and Berger M.P.F. Optimality of unequal cluster sizes in multilevel studies with small sample sizes. Communications in Statistics: Simulation and Computation 37 (2008) 222-239
8. Cohen J. A power primer. Psychological Bulletin 112 (1992) 155-159
9. Dannon P.N., Gon-Usishkin M., Gelbert A., Lowengrub K., and Grunhaus L. Cognitive behavioral group therapy in panic disorder patients: the efficacy of CBGT versus drug treatment. Annals of Clinical Psychiatry 16 (2004) 41-46
10. Demidenko E. Mixed Models: Theory and Applications (2004), Wiley, Hoboken, NJ
11. Donner A., and Klar N. Cluster randomization trials in epidemiology: theory and application. Journal of Statistical Planning and Inference 42 (1994) 37-56
12. Harville D.A. Matrix Algebra from a Statistician's Perspective (1997), Springer, New York
13. Haugli L., Steen E., Laerum E., Nygard R., and Finset A. Learning to have less pain-Is it possible? A one-year follow-up study of the effects of a personal construct group learning programme on patients with chronic musculoskeletal pain. Patient Education and Counseling 45 (2001) 111-118
14. Heller-Boersma J.G., Schmidt U.H., and Edmonds D.K. A randomized controlled trial of a cognitive-behavioural group intervention versus waiting-list control for women with uterovaginal agenesis (Mayer-Rokitansky-Küster-Hauser syndrome: MRKH). Human Reproduction 22 (2007) 2296-2301
15. Jarrett R.B., Schaffer M., McIntire D., Witt-Browder A., Kraft D., and Risser R.C. Treatment of atypical depression with cognitive therapy or phenelzine. A double-blind, placebo-controlled trial. Archives of General Psychiatry 56 (1999) 431-437
16. Johnson R.A., and Wichern D.W. Applied Multivariate Analysis (2002), Prentice Hall, Upper Saddle River, NJ
17. Kessels R., Goos P., and Vandebroek M. Optimal designs for conjoint experiments. Computational Statistics and Data Analysis 52 (2008) 2369-2387
18. Ladouceur R., Dugas M.J., Freeston M.H., Léger E., Gagnon F., and Thibodeau N. Efficacy of a cognitive-behavioral treatment for generalized anxiety disorder: Evaluation in a controlled trial. Journal of Consulting and Clinical Psychology 68 (2000) 957-964
19. McCulloch C.E., and Searle S.R. Generalized, Linear, and Mixed Models (2001), Wiley, New York
20. Moerbeek M. Robustness properties of A-, D-, and E-optimal designs for polynomial growth models with autocorrelated errors. Computational Statistics and Data Analysis 48 (2005) 765-778
21. Moerbeek M., and Wong W.K. Sample size formulae for trials comparing group and individual treatments in a multilevel model. Statistics in Medicine 27 (2008) 2850-2864
22. Mood A.M., Graybill F.A., and Boes D.C. Introduction to the Theory of Statistics. third ed (1974), McGraw-Hill, Tokyo
23. Ortega-Azurduy S.A., Tan F.E.S., and Berger M.P.F. The effect of dropout on the efficiency of D-optimal designs of linear mixed models. Statistics in Medicine 27 (2008) 2601-2617
24. Pals S.L., Murray D.M., Alfano C.M., Shadish W.R., Hannan P.J., and Baker W.L. Individually randomized group treatment trials: a critical appraisal of frequently used design and analytic approaches. American Journal of Public Health 98 (2008) 1418-1424
25. Parker D.R., Evangelou E., and Eaton C.B. Intraclass correlation coefficients for cluster randomized trials in primary care: the cholesterol education and research trial (CEART). Contemporary Clinical Trials 26 (2005) 260-267
26. Pisinger C., Vestbø J., Borch-Johnsen K., and Jørgensen T. Smoking cessation intervention in a large randomised population-based study. The Inter99 study. Preventive Medicine 40 (2005) 285-292
27. Rasbash, J., Browne, W., Goldstein, H., Yang, M., Plewis, I., Healy, M., Woodhouse, G., Draper, D., Langford, I., Lewis, T., 2000. A user's guide to MlwiN, second ed., Centre for Multilevel Modelling, Institute of Education, London.
28. Raudenbush S.W. Statistical analysis and optimal design for cluster randomized trials. Psychological Methods 2 (1997) 173-185
29. Roberts C. The implication of variation in outcome between health professionals for the design and analysis of randomized controlled trials. Statistics in Medicine 18 (1999) 2605-2615
30. Roberts C., and Roberts S.A. The design and analysis of clinical trials with clustering effects due to treatment. Clinical Trials 2 (2005) 152-162
31. Rosner B. Fundamentals of Biostatistics (2006), Thomson, Belmont, CA
32. Smeeth L., and Siu-Woon E. Intraclass correlation coefficients for cluster randomized trials in primary care: data from the MRC trial of the assessment and management of older people in the community. Controlled Clinical Trials 23 (2002) 409-421
33. Tekle F.B., Tan F.E.S., and Berger M.P.F. Maximin D-optimal designs for binary longitudinal responses. Computational Statistics and Data Analysis 52 (2008) 5253-5262
34. Thompson L.W., Gallagher D., and Breckenridge J.S. Comparative effectiveness of psychotherapies for depressed elders. Journal of Consulting and Clinical Psychology 55 (1987) 385-390
35. Van Berkestein L.G.M., Kastein M.R., Lodder A., DeMelker R.A., and Bartelink M.L. How do we compare with our colleagues? Quality of general practitioner performance in consultations for non-acute abdominal complaints. International Journal for Quality in Health Care 11 (1999) 475-486
36. Van Breukelen G.J.P., Candel M.J.J.M., and Berger M.P.F. Relative efficiency of unequal versus equal cluster sizes in cluster randomized and multicentre trials. Statistics in Medicine 26 (2007) 2589-2603
37. Van Breukelen G.J.P., Candel M.J.J.M., and Berger M.P.F. Relative efficiency of unequal cluster sizes for variance component estimation in cluster randomized and multicentre trials. Statistical Methods in Medical Research 17 (2008) 439-458
38. Van Minnen A., Hoogduin K.A.L., Keijsers G.P.J., Hellenbrand I., and Hendriks G.-J. Treatment of trichotillomania with behavioral therapy or fluoxetine. Archives of General Psychiatry 60 (2003) 517-522
39. Verbeke G., and Molenberghs G. Linear Mixed Models for Longitudinal Data (2000), Springer, New York
40. Wampold B.E., and Serlin R.C. The consequence of ignoring a nested factor on measures of effect size in analysis of variance. Psychological Methods 5 (2000) 425-433