PMID- 30066262 OWN - NLM STAT- MEDLINE DCOM- 20190717 LR - 20190717 IS - 1554-3528 (Electronic) IS - 1554-351X (Linking) VI - 51 IP - 1 DP - 2019 Feb TI - Comparison of model- and design-based approaches to detect the treatment effect and covariate by treatment interactions in three-level models for multisite cluster-randomized trials. PG - 243-257 LID - 10.3758/s13428-018-1080-1 [doi] AB - In this study, we evaluated the estimation of three important parameters for data collected in a multisite cluster-randomized trial (MS-CRT): the treatment effect, and the treatment by covariate interactions at Levels 1 and 2. The Level 1 and Level 2 interaction parameters are the coefficients for the products of the treatment indicator, with the covariate centered on its Level 2 expected value and with the Level 2 expected value centered on its Level 3 expected value, respectively. A comparison of a model-based approach to design-based approaches was performed using simulation studies. The results showed that both approaches produced similar treatment effect estimates and interaction estimates at Level 1, as well as similar Type I error rates and statistical power. However, the estimate of the Level 2 interaction coefficient for the product of the treatment indicator and an arithmetic mean of the Level 1 covariate was severely biased in most conditions. Therefore, applied researchers should be cautious when using arithmetic means to form a treatment by covariate interaction at Level 2 in MS-CRT data. FAU - Aydin, Burak AU - Aydin B AD - School of Education, Recep Tayyip Erdogan University, Rize, Turkey. burak.aydin@erdogan.edu.tr. FAU - Algina, James AU - Algina J AD - School of Human Development and Organizational Studies in Education, University of Florida, Gainesville, FL, USA. FAU - L Leite, Walter AU - L Leite W AD - School of Human Development and Organizational Studies in Education, University of Florida, Gainesville, FL, USA. LA - eng PT - Journal Article PL - United States TA - Behav Res Methods JT - Behavior research methods JID - 101244316 SB - IM MH - *Cluster Analysis MH - Computer Simulation MH - Humans MH - *Models, Statistical MH - Multilevel Analysis/*methods MH - Randomized Controlled Trials as Topic/*methods MH - *Research Design OTO - NOTNLM OT - Covariate by treatment interaction OT - Design-based OT - Model-based OT - Multisite cluster-randomized trials OT - Three-level models EDAT- 2018/08/02 06:00 MHDA- 2019/07/18 06:00 CRDT- 2018/08/02 06:00 PHST- 2018/08/02 06:00 [pubmed] PHST- 2019/07/18 06:00 [medline] PHST- 2018/08/02 06:00 [entrez] AID - 10.3758/s13428-018-1080-1 [pii] AID - 10.3758/s13428-018-1080-1 [doi] PST - ppublish SO - Behav Res Methods. 2019 Feb;51(1):243-257. doi: 10.3758/s13428-018-1080-1.