首页    期刊浏览 2024年12月25日 星期三
登录注册

文章基本信息

  • 标题:The influence of sample size on parameter estimates in three-level random-effects models
  • 本地全文:下载
  • 作者:Kerkhoff, Denise ; Nussbeck, Fridtjof W
  • 期刊名称:Frontiers in Psychology
  • 电子版ISSN:1664-1078
  • 出版年度:2019
  • 卷号:10
  • 页码:1-18
  • DOI:10.3389/fpsyg.2019.01067
  • 出版社:Frontiers Media
  • 摘要:In educational psychology, observational units are oftentimes nested within superordinate groups. Researchers need to account for hierarchy in the data by means of multilevel modeling, but especially in three-level longitudinal models, it is often unclear which sample size is necessary for reliable parameter estimation. To address this question, we generated a population dataset based on a study in the field of educational psychology, consisting of 3000 classrooms (level-3) with 55000 students (level-2) measured at five occasions (level-1), including predictors on each level and interaction effects. Drawing from this data, we realized 1000 random samples each for various sample and missing value conditions and compared analysis results with the true population parameters. We found that sampling at least 15 level-2 units each in 35 level-3 units results in unbiased fixed effects estimates, whereas higher-level random effects variance estimates require larger samples. Overall, increasing the level-2 sample size most strongly improves estimation soundness. We further discuss how data characteristics influence parameter estimation and provide specific sample size recommendations.
  • 关键词:Random effects model; Sample Size; power analysis; Three-level model; parameter estimation
国家哲学社会科学文献中心版权所有