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概化理论方差分量置信区间估计方法的比较 被引量：3

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摘要 概化理论又称为方差分量模型,其方差分量估计受限于抽样,不同的抽样样本估计的方差分量可能不一样。为了降低估计的误差,应该重视考察方差分量的变异量(如置信区间)。Bootstrap方法是一种有放回的再抽样方法,可用于估计概化理论的方差分量置信区间。文章采用蒙特卡洛模拟技术,比较Bootstrap的PC和BCa方法估计概化理论方差分量置信区间的性能。结果发现:(1)与未校正的方法相比,校正的Bootstrap的PC和BCa方法估计概化理论的方差分量置信区间更为可靠;(2)校正的Bootstrap的BCa方法估计概化理论的方差分量置信区间,要优于校正的Bootstrap的PC方法。
作者 黎光明 张敏强
机构地区 华南师范大学心理应用研究中心 广州大学教育学院
出处 《统计与决策》 CSSCI 北大核心 2013年第9期14-17,共4页 Statistics & Decision
基金 教育部人文社会科学研究青年基金项目(12YJC190016) 全国教育科学"十二五"规划教育部重点课题(GFA111009) 广东省教育科学"十二五"规划2011年度研究项目(2011TJK161) 广州卓越教育项目
关键词 Bootstrap—PC方法 Bootstrap—BCa方法 概化理论 方差分量 置信区间估计
分类号 O212 [理学—概率论与数理统计]
  • 相关文献

参考文献6

  • 1Gao, X. H.,Brennan, R. L.Variability of Estimated Variance Compo- nents and Related Statistics in a Performance Assessment[J].Applied Measurement in Education, 2001,14(2).
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  • 6黎光明,张敏强.基于概化理论的方差分量变异量估计[J].心理学报,2009,41(9):889-901. 被引量：16

二级参考文献38

  • 1杨志明,张雷.用多元概化理论对普通话的测试[J].心理学报,2002,34(1):50-55. 被引量：21
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  • 9Clauser, B. E., Harik, E, & Clyman, S. G. (2000). The generalizability of scores for a performance assessment scored with a computer-automated scoring system. Journal of Educational Measurement, 36(2), 245-262.
  • 10Clauser, B. E., Harik, P., & Margolis, M. J. (2006). A multivariate generalizability analysis of data from a performance assessment of physicaians' clinical skill. Journal of Educational Measurement, 43(3), 173-191.

共引文献15

同被引文献28

  • 1Efron B, Tibshirani R J. An Introduction to The Bootstrap[M]. New York: Chapman & Hall Ltd, 1993.
  • 2Hall P, Horowitz J. A Simple Bootstrap Method for Constructing Non- parametric Confidence Bands for Functions[J]. The Annals of Statis- tics, 2013, 41(4).
  • 3Fay M P, Brittain E H, Proschan M A. Pointwise Confidence Intervals for A Survival Distribution With Small Samples or Heavy Censoring Biostat[J]. Biostatistics, 2013, 14 (4).
  • 4Thail H T, Mentr61 F, Holford N H G. A Comparison of Bootstrap Ap- proaches for Estimating Uncertainty of Parameters In Linear Mixed-effects Models [J]. Pharmaceutical Statistics, 2013, 12(3).
  • 5Romano J P, Shaikh A M. On The Uniform Asymptotic Validity of Subsampling and The Bootstrap[J]. The Annals of Statistics,2012, 40 (6).
  • 6DiCiccio J, Efron B. Bootstrap Confidence Intervals[J]. Statistical Sci- ence, 1996, 11(3).
  • 7Efron, B., & Tibshrani, R. An Introduction to the Bootstrap[M],New York:Chapman and Ha11,1993.
  • 8Wiley E W. Bootstrap Strategies for Variance Component Estimation: Theoretical and Empirical Results[M].Stanford,CA;Stanford Universi- ty,2001.
  • 9Othman A R. Examining Task Sampling Variability in Science Perfor- mance Assessments [M].Santa Barbara;University of California, 1995.
  • 10张娟,孙剑.基于SVM的城市快速路行程时间预测研究[J].交通运输系统工程与信息,2011,11(2):174-179. 被引量：18

引证文献3

二级引证文献16

统计与决策
2013年 第9期

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