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α系数的区间估计方法比较
  • ISSN号:1671-6981
  • 期刊名称:《心理科学》
  • 时间:0
  • 分类:O212.1[理学—概率论与数理统计;理学—数学]
  • 作者机构:[1]江西师范大学心理学院,南昌330022, [2]华南师范大学心理应用研究中心,广州510631
  • 相关基金:本研究得到国家自然科学基金(31271116)和教育部人文社科重点研究基地项目(11JJD190005)的资助.
中文摘要:

多数情况下,α系数可以用来评价测验信度。诸多研究建议,在报告测验信度的时候应当包括其置信区间。通过蒙特卡洛模拟研究,比较了7种α系数区间估计方法,包括Fisher法、Bonett-02法、Bonett-10法、精确Koning—Franses法、渐近ID法、渐近Koning—Franses法和ADF法。结果发现Bonett-10法和精确Koning—Franses法较好,它们的结果相差很小。这两种方法都比较简单,只需要样本的α值、测验题数、被试人数及F临界值,通过简单的运算便可得到α系数的置信区间。

英文摘要:

Under the assumption that the item errors in a test are uncorrelated, if coefficient α is high enough to be accepted, then the test reliability is also acceptable. In such a case, using coefficient α to evaluate the test reliability is the first choice, because calculating coefficient α is much easier than calculating composite reliability, even though the latter is more precise in evaluating test reliability. For a test, coefficient α is an unknown population parameter. It is often estimated by the sample coefficient α, a point estimator of the population coefficient α. Point estimate of coefficient α contains limited information and cannot provide information with regard to how far it can be from the population coefficient α The confidence interval of the coefficient α can provide more information. Thus, a better appraisal of the test reliability is the confidence interval of the coefficient α, which provides the precision of the sample coefficient α. We briefed ten methods for estimating confidence intervals of coefficient By excluding three methods that have poor performance revealed in the previous research, we compared the remaining seven methods by a simulation study. The seven methods being compared include : Fisher, Bonett - 02, Bonett - 10, Koning - Franses exact, ID asymptotic, Koning - Franses asymptotic and ADF methods. Four factors were considered in the simulation design: (a) distribution of items (normal, unifbrm, χ^2(3) andχ^2(6) ; (b) the number of items on the test (p = 3, 7, and 14) ; (c) sample size ( n = 50, 100,300,500, and 1000) ; (d) the methods for estimating the confidence interval of coefficient ct (seven methods described above). Totally, 60 treatment conditions were generated in terms of the a- bove 4 - factor simulation design (i. e. , 60 = 4 × 3 × 5). Confidence interval coverage ( % ) and the bias of the lower limit of confidence interval were used to compare the results of the simulation study. A method is better

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期刊信息
  • 《心理科学》
  • 北大核心期刊(2011版)
  • 主管单位:中国科学技术学会
  • 主办单位:中国心理学会
  • 主编:李其维
  • 地址:上海市中山北路3663号
  • 邮编:200062
  • 邮箱:xinlikexue@vip.163.com
  • 电话:021-62232236
  • 国际标准刊号:ISSN:1671-6981
  • 国内统一刊号:ISSN:31-1582/B
  • 邮发代号:4-317
  • 获奖情况:
  • 为国务院学位办审定为核心期刊
  • 国内外数据库收录:
  • 中国中国人文社科核心期刊,中国北大核心期刊(2004版),中国北大核心期刊(2008版),中国北大核心期刊(2011版),中国北大核心期刊(2014版),中国社科基金资助期刊,中国国家哲学社会科学学术期刊数据库,中国北大核心期刊(2000版)
  • 被引量:46796