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标准化均值差的样本量规划:通过窄置信区间进行参数估计的准确性

Sample size planning for the standardized mean difference: accuracy in parameter estimation via narrow confidence intervals.

作者信息

Kelley Ken, Rausch Joseph R

机构信息

Inquiry Methodology Program, Indiana University, Bloomington, IN 47405, USA.

出版信息

Psychol Methods. 2006 Dec;11(4):363-85. doi: 10.1037/1082-989X.11.4.363.

DOI:10.1037/1082-989X.11.4.363
PMID:17154752
Abstract

Methods for planning sample size (SS) for the standardized mean difference so that a narrow confidence interval (CI) can be obtained via the accuracy in parameter estimation (AIPE) approach are developed. One method plans SS so that the expected width of the CI is sufficiently narrow. A modification adjusts the SS so that the obtained CI is no wider than desired with some specified degree of certainty (e.g., 99% certain the 95% CI will be no wider than omega). The rationale of the AIPE approach to SS planning is given, as is a discussion of the analytic approach to CI formation for the population standardized mean difference. Tables with values of necessary SS are provided. The freely available Methods for the Behavioral, Educational, and Social Sciences (K. Kelley, 2006a) R (R Development Core Team, 2006) software package easily implements the methods discussed.

摘要

开发了用于标准化均数差的样本量(SS)规划方法,以便通过参数估计精度(AIPE)方法获得狭窄的置信区间(CI)。一种方法是规划样本量,使置信区间的预期宽度足够窄。一种改进方法是调整样本量,以便在一定的指定确定性程度下(例如,99%确定95%置信区间不宽于ω),所获得的置信区间不宽于预期。给出了AIPE方法进行样本量规划的基本原理,以及关于总体标准化均数差置信区间形成的分析方法的讨论。提供了必要样本量值的表格。免费提供的行为、教育和社会科学方法(K.凯利,2006a)R(R开发核心团队,2006)软件包可轻松实现所讨论的方法。

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