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The Impact of Outliers on Cronbach's Coefficient Alpha Estimate of Reliability: Ordinal/Rating Scale Item Responses

机译:离群值对Cronbach可靠性系数Alpha估计的影响:序数/等级量表项目响应

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In a recent Monte Carlo simulation study, Liu and Zumbo showed that outliers can severely inflate the estimates of Cronbach's coefficient alpha for continuous item response data-visual analogue response format. Little, however, is known about the effect of outliers for ordinal item response data-also commonly referred to as Likert, Likert-type, ordered categorical, or ordinal/rating scale item responses. Building on the work of Liu and Zumbo, the authors investigated the effects of outlier contamination for binary and ordinal response scales. Their results showed that coefficient alpha estimates were severely inflated with the presence of outliers, and like the earlier findings, the effects of outliers were reduced with increasing theoretical reliability. The efficiency of coefficient alpha estimates (i.e., sample-to-sample variation) was inflated as well and affected by the number of scale points. It is worth noting that when there were no outliers, the alpha estimates were downward biased because of the ordinal scaling. However, the alpha estimates were, in general, inflated in the presence of outliers leading to positive bias.
机译:在最近的蒙特卡洛模拟研究中,Liu和Zumbo表明,离群值可以严重夸大连续项目响应数据-视觉模拟响应格式的Cronbach系数α的估计值。但是,对于序数项响应数据的异常值的影响知之甚少,这些异常值通常也称为Likert,Likert类型,有序分类或序数/等级量表项响应。作者基于Liu和Zumbo的工作,研究了离群污染对二元和顺序反应量表的影响。他们的结果表明,离群值的存在会严重夸大系数α的估计,并且像早期的发现一样,离群值的影响随着理论可靠性的提高而降低。系数α估计值的效率(即样本间差异)也被夸大了,并受比例尺数量的影响。值得注意的是,当没有离群值时,由于顺序缩放,所以alpha估计值向下偏移。但是,通常在存在异常值的情况下夸大了alpha估计值,从而导致正偏差。

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