Penfield Randall D
Department of Educational Psychology, University of Florida, Gainesville 32611-7047, USA.
Psychol Methods. 2003 Jun;8(2):149-63. doi: 10.1037/1082-989x.8.2.149.
This article presents a generalization of the Score method of constructing confidence intervals for the population proportion (E. B. Wilson, 1927) to the case of the population mean of a rating scale item. A simulation study was conducted to assess the properties of the Score confidence interval in relation to the traditional Wald (A. Wald, 1943) confidence interval under a variety of conditions, including sample size, number of response options, extremeness of the population mean, and kurtosis of the response distribution. The results of the simulation study indicated that the Score interval usually outperformed the Wald interval, suggesting that the Score interval is a viable method of constructing confidence intervals for the population mean of a rating scale item.
本文将用于构建总体比例置信区间的Score方法（E. B. 威尔逊，1927年）推广到评分量表项目总体均值的情形。开展了一项模拟研究，以评估在各种条件下，包括样本量、响应选项数量、总体均值的极端程度以及响应分布的峰度，Score置信区间相对于传统的Wald置信区间（A. 瓦尔德，1943年）的性质。模拟研究结果表明，Score区间通常优于Wald区间，这表明Score区间是构建评分量表项目总体均值置信区间的一种可行方法。
