Measuring change for a multidimensional test using a generalized explanatory longitudinal item response model.
نویسندگان
چکیده
Even though many educational and psychological tests are known to be multidimensional, little research has been done to address how to measure individual differences in change within an item response theory framework. In this paper, we suggest a generalized explanatory longitudinal item response model to measure individual differences in change. New longitudinal models for multidimensional tests and existing models for unidimensional tests are presented within this framework and implemented with software developed for generalized linear models. In addition to the measurement of change, the longitudinal models we present can also be used to explain individual differences in change scores for person groups (e.g., learning disabled students versus non-learning disabled students) and to model differences in item difficulties across item groups (e.g., number operation, measurement, and representation item groups in a mathematics test). An empirical example illustrates the use of the various models for measuring individual differences in change when there are person groups and multiple skill domains which lead to multidimensionality at a time point.
منابع مشابه
A Comparative Review of Selection Models in Longitudinal Continuous Response Data with Dropout
Missing values occur in studies of various disciplines such as social sciences, medicine, and economics. The missing mechanism in these studies should be investigated more carefully. In this article, some models, proposed in the literature on longitudinal data with dropout are reviewed and compared. In an applied example it is shown that the selection model of Hausman and Wise (1979, Econometri...
متن کاملA Non-Random Dropout Model for Analyzing Longitudinal Skew-Normal Response
In this paper, multivariate skew-normal distribution is em- ployed for analyzing an outcome based dropout model for repeated mea- surements with non-random dropout in skew regression data sets. A probit regression is considered as the conditional probability of an ob- servation to be missing given outcomes. A simulation study of using the proposed methodology and comparing it with a semi-parame...
متن کاملModelling melodic discrimination tests: Descriptive and explanatory approaches
Melodic discrimination tests have been used for many years to assess individual differences in musical abilities. These tests are usually analysed using classical test theory. However, classical test theory is not well-suited for optimising test efficiency or for investigating construct validity. This paper addresses this problem by applying modern item response modelling techniques to three me...
متن کاملA Generalized Linear Statistical Model Approach to Monitor Profiles
Statistical process control methods for monitoring processes with univariate ormultivariate measurements are used widely when the quality variables fit to known probabilitydistributions. Some processes, however, are better characterized by a profile or a function of qualityvariables. For each profile, it is assumed that a collection of data on the response variable along withthe values of the c...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- The British journal of mathematical and statistical psychology
دوره 66 2 شماره
صفحات -
تاریخ انتشار 2013