使用后验正态分布获取系数阿尔法的贝叶斯估计值。
Obtaining a Bayesian Estimate of Coefficient Alpha Using a Posterior Normal Distribution.
作者信息
DelosReyes John Mart V, Padilla Miguel A
机构信息
Old Dominion University, Norfolk, VA, USA.
出版信息
Educ Psychol Meas. 2025 Jan 31:00131644241311877. doi: 10.1177/00131644241311877.
Abstract
A new alternative to obtain a Bayesian estimate of coefficient alpha through a posterior normal distribution is proposed and assessed through percentile, normal-theory-based, and highest probability density credible intervals in a simulation study. The results indicate that the proposed Bayesian method to estimate coefficient alpha has acceptable coverage probability performance across the majority of investigated simulation conditions.
摘要
本文提出了一种通过后验正态分布获得系数α的贝叶斯估计的新方法，并在模拟研究中通过百分位数、基于正态理论的和最高概率密度可信区间对其进行了评估。结果表明，所提出的估计系数α的贝叶斯方法在大多数调查的模拟条件下具有可接受的覆盖概率性能。
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本文引用的文献
1
On the Importance of Coefficient Alpha for Measurement Research: Loading Equality Is Not Necessary for Alpha's Utility as a Scale Reliability Index.论系数α在测量研究中的重要性：作为量表信度指标，α的效用并不需要载荷相等。
Educ Psychol Meas. 2023 Aug;83(4):766-781. doi: 10.1177/00131644221104972. Epub 2022 Jul 20.
2
Redefine statistical significance.重新定义统计学显著性。
Nat Hum Behav. 2018 Jan;2(1):6-10. doi: 10.1038/s41562-017-0189-z.
3
The Robustness of Confidence Intervals for Coefficient Alpha Under Violation of the Assumption of Essential Parallelism.违背基本平行性假设时系数α置信区间的稳健性
Multivariate Behav Res. 1997 Apr 1;32(2):169-91. doi: 10.1207/s15327906mbr3202_4.
4
Asymptotically distribution-free (ADF) interval estimation of coefficient alpha.系数α的渐近无分布（ADF）区间估计
Psychol Methods. 2007 Jun;12(2):157-76. doi: 10.1037/1082-989X.12.2.157.
5
Alpha's standard error (ASE): an accurate and precise confidence interval estimate.阿尔法标准误差（ASE）：准确且精确的置信区间估计。
J Appl Psychol. 2004 Oct;89(5):792-808. doi: 10.1037/0021-9010.89.5.792.
6
Coefficient alpha and the reliability of composite measurements.α系数与复合测量的可靠性
Psychometrika. 1967 Mar;32(1):1-13. doi: 10.1007/BF02289400.
7
The approximate sampling distribution of Kuder-Richardson reliability coefficient twenty.库德-理查森信度系数20的近似抽样分布。
Psychometrika. 1965 Sep;30(3):357-70. doi: 10.1007/BF02289499.
8
The Hopkins Symptom Checklist (HSCL): a self-report symptom inventory.霍普金斯症状清单（HSCL）：一份自我报告症状量表。
Behav Sci. 1974 Jan;19(1):1-15. doi: 10.1002/bs.3830190102.
9
Psychophysical system identification by correlation methods.基于相关方法的心理物理系统识别
Br J Math Stat Psychol. 1978 Nov;31(2):229-46. doi: 10.1111/j.2044-8317.1978.tb00587.x.
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