Bias and Mean Square Error of Reliability Estimators under the One and Two Random Effects Models: The Effect of Non-Normality
作者: Mohamed M. ShoukriTusneem Al-HassanMichael DeNiroAbdelmoneim El DaliFutwan Al-Mohanna
作者单位: 1Department of Cell Biology, King Faisal Specialist Hospital and Research Center, Riyadh, Saudi Arabia
2Al-Faisal University College of Medicine, Riyadh, Saudi Arabia
3The Oncology Center, King Faisal Specialist Hospital and Research Center, Riyadh, Saudi Arabia
4Department of Biostatistics, Epidemiology and Scientific Computing, King Faisal Specialist Hospital andResearch Center, Riyadh, Saudi Arabia
刊名: Open Journal of Statistics, 2016, Vol.6 (2), pp.254-273
来源数据库: Scientific Research Publishing Journal
DOI: 10.4236/ojs.2016.62022
原始语种摘要: The coefficient of reliability is often estimated from a samplethat includes few subjects. It is therefore expected that the precision of thisestimate would be low. Measures of precision such as bias and variance dependheavily on the assumption of normality, which may not be tenable in practice.Expressions for the bias and variance of the reliability coefficient in the oneand two way random effects models using the multivariate Taylor’s expansionhave been obtained under the assumption of normality of the score (Atenafu etal. [1]). In the present paper we derive analytic expressions for the bias andvariance, hence the mean square error when the measured responses are notnormal under the one-way data layout. Similar expressions are derived in thecase of the two-way data layout. We assess...
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  • variance 离散
  • multivariate 多元
  • expected 预期
  • precision 精度
  • analytic 解析的
  • departure 脱离
  • often 往往
  • normality 规定浓度
  • score 得分
  • bootstrap 靴绊