Educational and Psychological Measurement最新文献

The multidimensional mixture data structure exists in many test (or inventory) conditions. Heterogeneity also relatively exists in populations. Still, some researchers are interested in deciding to which subpopulation a participant belongs according to the participant's factor pattern. Thus, in this study, we proposed three analysis procedures based on the factor mixture model to analyze data in the multidimensional mixture context. Simulations were manipulated with different levels of factor numbers, factor correlations, numbers of latent classes, and class separation. Issues with regard to model selection were discussed at first. The results showed that in the two-class situations the procedures of "factor structure first then class number" (Procedure 1) and "factor structure and class number considered simultaneously" (Procedure 3) performed better than the "class number first then factor structure" (Procedure 2) and yielded precise parameter estimation and classification accuracy. It would be appropriate to choose Procedures 1 and 3 when strong measurement invariance is assumed while using an information criterion, but Procedure 1 saved more time than Procedure 3. In the three-class situations, the performance of all three procedures was limited. Implementations and suggestions have been addressed in this research.

Random item effects item response theory (IRT) models, which treat both person and item effects as random, have received much attention for more than a decade. The random item effects approach has several advantages in many practical settings. The present study introduced an explanatory multidimensional random item effects rating scale model. The proposed model was formulated under a novel parameterization of the nominal response model (NRM), and allows for flexible inclusion of person-related and item-related covariates (e.g., person characteristics and item features) to study their impacts on the person and item latent variables. A new variant of the Metropolis-Hastings Robbins-Monro (MH-RM) algorithm designed for latent variable models with crossed random effects was applied to obtain parameter estimates for the proposed model. A preliminary simulation study was conducted to evaluate the performance of the MH-RM algorithm for estimating the proposed model. Results indicated that the model parameters were well recovered. An empirical data set was analyzed to further illustrate the usage of the proposed model.

The purpose of this study is to introduce a functional approach for modeling unfolding response data. Functional data analysis (FDA) has been used for examining cumulative item response data, but a functional approach has not been systematically used with unfolding response processes. A brief overview of FDA is presented and illustrated within the context of unfolding data. Seven decision parameters are described that can provide a guide to conducting FDA in this context. These decision parameters are illustrated with real data using two scales that are designed to measure attitude toward capital punishment and attitude toward censorship. The analyses suggest that FDA offers a useful set of tools for examining unfolding response processes.

For large-scale assessments, data are often collected with missing responses. Despite the wide use of item response theory (IRT) in many testing programs, however, the existing literature offers little insight into the effectiveness of various approaches to handling missing responses in the context of scale linking. Scale linking is commonly used in large-scale assessments to maintain scale comparability over multiple forms of a test. Under a common-item nonequivalent group design (CINEG), missing data that occur to common items potentially influence the linking coefficients and, consequently, may affect scale comparability, test validity, and reliability. The objective of this study was to evaluate the effect of six missing data handling approaches, including listwise deletion (LWD), treating missing data as incorrect responses (IN), corrected item mean imputation (CM), imputing with a response function (RF), multiple imputation (MI), and full information likelihood information (FIML), on IRT scale linking accuracy when missing data occur to common items. Under a set of simulation conditions, the relative performance of the six missing data treatment methods under two missing mechanisms was explored. Results showed that RF, MI, and FIML produced less errors for conducting scale linking whereas LWD was associated with the most errors regardless of various testing conditions.

When constructing measurement scales, regular and reversed items are often used (e.g., "I am satisfied with my job"/"I am not satisfied with my job"). Some methodologists recommend excluding reversed items because they are more difficult to understand and therefore engender a second, artificial factor distinct from the regular-item factor. The current study compares two explanations for why a construct's dimensionality may become distorted: response difficulty and item extremity. Two types of reversed items were created: negation items ("The conditions of my life are not good") and polar opposites ("The conditions of my life are bad"), with the former type having higher response difficulty. When extreme wording was used (e.g., "excellent/terrible" instead of "good/bad"), negation items did not load on a factor distinct from regular items, but polar opposites did. Results thus support item extremity over response difficulty as an explanation for dimensionality distortion. Given that scale developers seldom check for extremity, it is unsurprising that regular and polar opposite items often load on distinct factors.

In modeling missing data, the missing data latent variable of the confirmatory factor model accounts for systematic variation associated with missing data so that replacement of what is missing is not required. This study aimed at extending the modeling missing data approach to tetrachoric correlations as input and at exploring the consequences of switching between models with free and fixed factor loadings. In a simulation study, confirmatory factor analysis (CFA) models with and without a missing data latent variable were used for investigating the structure of data with and without missing data. In addition, the numbers of columns of data sets with missing data and the amount of missing data were varied. The root mean square error of approximation (RMSEA) results revealed that an additional missing data latent variable recovered the degree-of-model fit characterizing complete data when tetrachoric correlations served as input while comparative fit index (CFI) results showed overestimation of this degree-of-model fit. Whereas the results for fixed factor loadings were in line with the assumptions of modeling missing data, the other results showed only partial agreement. Therefore, modeling missing data with fixed factor loadings is recommended.

The import or force of the result of a statistical test has long been portrayed as consistent with deductive reasoning. The simplest form of deductive argument has a first premise with conditional form, such as p→q, which means that "if p is true, then q must be true." Given the first premise, one can either affirm or deny the antecedent clause (p) or affirm or deny the consequent claim (q). This leads to four forms of deductive argument, two of which are valid forms of reasoning and two of which are invalid. The typical conclusion is that only a single form of argument-denying the consequent, also known as modus tollens-is a reasonable analog of decisions based on statistical hypothesis testing. Now, statistical evidence is never certain, but is associated with a probability (i.e., a p-level). Some have argued that modus tollens, when probabilified, loses its force and leads to ridiculous, nonsensical conclusions. Their argument is based on specious problem setup. This note is intended to correct this error and restore the position of modus tollens as a valid form of deductive inference in statistical matters, even when it is probabilified.