van der Ark L Andries, Croon Marcel A, Sijtsma Klaas
Department of Methodology and Statistics, FSW, Tilburg University, P.O. Box 90153, 5000 LE Tilburg, The Netherlands.
Psychometrika. 2008 Jun;73(2):183-208. doi: 10.1007/s11336-007-9034-z. Epub 2007 Nov 8.
Scalability coefficients play an important role in Mokken scale analysis. For a set of items, scalability coefficients have been defined for each pair of items, for each individual item, and for the entire scale. Hypothesis testing with respect to these scalability coefficients has not been fully developed. This study introduces marginal modelling as a framework to derive the standard errors for the scaling coefficients and test hypotheses about these coefficients. Several examples demonstrate the possibilities of marginal modelling in Mokken scale analysis. These possibilities include testing whether Mokken's criteria for a scale are satisfied, testing whether scalability coefficients of different items are equal, and testing whether scalability coefficients are equal across different groups.
可扩展性系数在莫肯量表分析中起着重要作用。对于一组项目，已经为每对项目、每个单独项目以及整个量表定义了可扩展性系数。关于这些可扩展性系数的假设检验尚未得到充分发展。本研究引入边际建模作为一个框架，以推导量表系数的标准误差并检验关于这些系数的假设。几个例子展示了边际建模在莫肯量表分析中的可能性。这些可能性包括检验莫肯量表标准是否得到满足、检验不同项目的可扩展性系数是否相等以及检验不同组之间的可扩展性系数是否相等。
