Evaluating the Psychometric and Measurement Characteristics of a Measure of Sexual Orientation Harassment

We use classical test theory (CTT) and item response theory (IRT) methodologies to examine the psychometric and measurement properties of an instrument designed to assess sexual orientation harassment among military personnel (N?=?71,989). CTT analyses indicated that items were unidimensional and exhibited adequate levels of reliability. IRT analyses demonstrated that the items functioned similarly and exhibited appropriate levels of item discrimination. However, the analyses also suggested that the sensitivity of the items may be limited. Differential test functioning analyses provided evidence of the measurement equivalence of the instrument across male and female respondents. The findings provide support for the psychometric properties and measurement equivalence of the instrument for measuring sexual orientation harassment among male and female military personnel. We discuss the implications of our findings for future research on sexual orientation harassment in the workplace.     

The concept of life satisfaction across cultures: An IRT analysis

The present study examined measurement equivalence of the Satisfaction with Life Scale between American and Chinese samples using multigroup Structural Equation Modeling (SEM), Multiple indicator multiple cause model (MIMIC), and Item Response Theory (IRT). Whereas SEM and MIMIC identified only one biased item across cultures, the IRT analysis revealed that four of the five items had differential item functioning. According to IRT, Chinese whose latent life satisfaction scores were quite high did not endorse items such as “So far I have gotten the important things I want in life” and “If I could live my life over, I would change almost nothing.” The IRT analysis also showed that even when the unbiased items were weighted more heavily than the biased items, the latent mean life satisfaction score of Chinese was substantially lower than that of Americans. The differences among SEM, MIMIC, and IRT are discussed.     

An Item Response Theory Analysis of The Questionnaire of God Representations

The Dutch Questionnaire of God Representations (QGR) was investigated by means of item response theory (IRT) modeling in a clinical (n = 329) and a nonclinical sample (n = 792). Through a graded response model and IRT-based differential functioning techniques, detailed item-level analyses and information about measurement invariance between the clinical and nonclinical sample were obtained. On the basis of the results of the IRT analyses, a shortened version of the QGR (S-QGR) was constructed, consisting of 22 items, which functions in the same way in both the clinical and the nonclinical sample. Results indicated that the QGR consists of strong and reliable scales which are able to differentiate among persons. Psychometric characteristics of the S-QGR were adequate.     

Unidimensionality and bandwidth in the Center for Epidemiologic Studies Depression (CES-D) Scale

In this study, we compared classical test theory (CTT) and item response theory (IRT) approaches in analyzing the Center for Epidemiological Studies Depression (CES-D) Scale (Radloff, 1977). Standard item analyses, as well as Rasch (1960) analyses, both revealed item departures from unidimensionality in a sample of 2,455 older persons responding to the CES-D. Positive affect items in the scale performed poorly overall, their removal reducing the scale's bandwidth only slightly. Modeling depression scores derived from Rasch measures and raw totals showed subtle but important differences for statistical inference. The assessment of depressive risk was slightly enhanced by using 16-item scale measures obtained from the results of the Rasch analysis as the dependent variable. Confirmatory factor analysis and parallel analysis verified the advantages of removing positively worded items. IRT and CTT techniques proved to be complementary in this study and can be usefully combined to improve measuring depression.     

More information from fewer questions: the factor structure and item properties of the original and brief fear of negative evaluation scale

Statistical methods designed for categorical data were used to perform confirmatory factor analyses and item response theory (IRT) analyses of the Fear of Negative Evaluation scale (FNE; D. Watson & R. Friend, 1969) and the Brief FNE (BFNE; M. R. Leary, 1983). Results suggested that a 2-factor model fit the data better for both the FNE and the BFNE, although the evidence was less strong for the FNE. The IRT analyses indicated that although both measures had items with good discrimination, the FNE items discriminated only at lower levels of the underlying construct, whereas the BFNE items discriminated across a wider range. Convergent validity analyses indicated that the straightforwardly-worded items on each scale had significantly stronger relationships with theoretically related measures than did the reverse-worded items. On the basis of all analyses, usage of the straightforwardly-worded BFNE factor is recommended for the assessment of fear of negative evaluation.     

Refining the two‐parameter testlet response model by introducing testlet discrimination parameters

For testlet response data, traditional item response theory (IRT) models are often not appropriate due to local dependence presented among items within a common testlet. Several testlet‐based IRT models have been developed to model examinees' responses. In this paper, a new two‐parameter normal ogive testlet response theory (2PNOTRT) model for dichotomous items is proposed by introducing testlet discrimination parameters. A Bayesian model parameter estimation approach via a data augmentation scheme is developed. Simulations are conducted to evaluate the performance of the proposed 2PNOTRT model. The results indicated that the estimation of item parameters is satisfactory overall from the viewpoint of convergence. Finally, the proposed 2PNOTRT model is applied to a set of real testlet data.     

Selecting the most informative items in the IIP scales for personality disorders: an application of item response theory.

The first goal of the present analyses was to shorten the five scales (Pilkonis, P. A., Kim, Y., Proietti, J. M., & Barkham, M. [1996]. Journal of Personality Disorders, 10, 355-369) for personality disorders (PDs) developed from the Inventory of Interpersonal Problems (IIP), thereby increasing their attractiveness for screening purposes. The second goal was to illustrate, for more general purposes, the utility of item response theory (IRT) for such scale refinement. IRT analyses were performed using data collected from six different samples (N = 1149) at five sites and a two-parameter (2P) graded model designed for multiple response items like those on the IIP. The five most informative items from each scale were identified, based on the magnitude of item discrimination parameters and the range and elevation of individual item information functions. Preliminary analyses of the reliability and validity of the short forms of the scales (totaling 25 items) supported their value as alternatives to the longer forms (consisting of 47 items), although definitive tests of their psychometric properties await crossvalidation in independent samples. Analyses of the quality receiver operating characteristics (QROC) of the long and short forms showed that both versions can be useful in predicting the presence versus absence of any PD diagnosis arrived at by using either a "best estimate" clinical consensus method or a structured Axis II interview.     

Summed-score linking using item response theory: application to depression measurement

An item response theory (IRT) approach to test linking based on summed scores is presented and demonstrated by calibrating a modified 23-item version of the Center for Epidemiologic Studies Depression Scale (CES-D) to the standard 20-item CES-D. Data are from the Depression Patient Outcomes Research Team, II, which used a modified CES-D to measure risk for depression. Responses (N = 1,120) to items on both the original and modified versions were calibrated simultaneously using F. Samejima's (1969, 1997) graded IRT model. The 2 scales were linked on the basis of derived summed-score-to-IRT-score translation tables. The established cut score of 16 on the standard CES-D corresponded most closely to a summed score of 20 on the modified version. The IRT summed-score approach to test linking is a straightforward, valid, and practical method that can be applied in a variety of situations.     

认知元反应理论--IRT直接应用于多值记分题

0-1记分测验的项目反应理论已经得到广泛的研究和应用.但是,许多测验都含有多值记分题,所以需要将IRT推广到此类情况.从认知理论的观点看,每个0-1记分题(项目)和多值记分题的每个测试点都可同样地看成一个由若干知识点构成的集合,称之为认知元;根据认知元之间存在的关系可以确定各受测者对各试题作出特定答案的概率,从而不需要引用任何其它假设就可将IRT的方法直接应用于含多值记分题的测验.本文应用这一理论分析了某些测验样本,结果表明是可行的.     

自陈量表式测验应用IRT的可行性

对采用5级评分Likert式测题的情感能力量表的分析表明,各分量表项目都有较好的模型-数据拟合性,而且显示了参数估计的不变性,及与CTT参数的关联性。这些都表明Likert量表应用IRT模型的假设条件得到了满足,即IRT应用是可行的。研究还表明IRT能对测量精度进行更精确的估计。     

Toward a hierarchical model of criminal thinking: evidence from item response theory and confirmatory factor analysis

Item response theory (IRT) methods were applied to items from the 80-item Psychological Inventory of Criminal Thinking Styles (PICTS; G. D. Walters, 1995) to determine how well they measure the latent trait of criminal thinking in a group of 2,872 male medium security prison inmates. Preliminary analyses revealed that the 64 PICTS thinking style items, 32 PICTS proactive criminal thinking items, and 24 PICTS reactive criminal thinking items were sufficiently unidimensional to meet the local independence requirements of IRT. The PICTS was fitted to a 2-parameter logistic-graded response IRT model, the results of which showed that the 8 items measuring denial of harm (Sentimentality) displayed weak discrimination (a < 0.5), whereas most of the proactive and reactive items displayed moderate to good discrimination (a > 1.0). Information function analysis revealed that all 3 components of a hierarchical model of criminal thinking--PICTS total scale, PICTS proactive factor, and PICTS reactive factor--displayed greater precision at higher rather than lower levels of the trait dimension. The study findings indicate that items from the PICTS Sentimentality scale do a poor job of measuring general criminal thinking, whereas items from the other 7 PICTS thinking style scales provide their most precise estimates at the upper end of the trait dimension.     

Is it prudent to administer all items for each Child Behavior Checklist cross-informant syndrome? Evaluating the psychometric properties of the Youth Self-Report dimensions with confirmatory factor analysis and item response theory

Through surveying of children in 10 nations with parent, teacher, and Youth Self-Report (YSR) forms of the Child Behavior Checklist (CBCL), cross-informant syndromes (CISs) were derived and cross-validated by sample-dependent methodology. Generalizing CBCL syndromes and norms to nations excluded from its normative sample is problematic. This study used confirmatory factor analyses (CFAs) to test factor model fit for CISs on the YSR responses of 625 Jamaican children ages 11 to 18 years. Item response theory (IRT), a sample-independent methodology, was used to estimate the psychometric properties of individual items on each dimension. CFAs indicated poor to moderate model-to-data fit. Across all syndromes, IRT analyses revealed that more than 3/4 of the cross-informant items yielded little information. Eliminating such items could be cost effective in terms of administration time yet improve the measures discrimination across syndrome severity levels.     

Factor analytic approaches to personality item-level data

Factor analysis models have played a central role in formulating conceptual models in personality and personality assessment, as well as in empirical examinations of personality measurement instruments. Yet, the use of item-level data presents special problems for factor analysis, applications. In this article, we review recent developments in factor analysis that are appropriate for the type of item-level data often collected in personality. Included in this review are discussions of how these developments have been addressed in the context of two different (but formally related) statistical models item response theory (IRT: Hambleton, Swaminathan, & Rogers, 1991) and structural, equation modeling (Bollen 1989) for item-level data. We also discuss the relevance of item scaling in the context of these models. Using the restandardization data for the Minnesota Multiphasic Personality Inventory-2 Scale (cf. Butcher, Dahlstrom, Graham, Tellegen, & Kaemmer, 1989), we show brief examples of the utility of these approaches to address basic questions about responses to personality scale items regarding: (a) scale, dimensionality and general item properties, (b) the "appropriateness" of the observed responses, and (c) differential item functioning across subsamples. implications for analyses of personality item-level data in the IRT and factor analytic traditions are discussed.     

The challenges of fitting an item response theory model to the Social Anhedonia Scale

This study explored the application of latent variable measurement models to the Social Anhedonia Scale (SAS; Eckblad, Chapman, Chapman, & Mishlove, 1982), a widely used and influential measure in schizophrenia-related research. Specifically, we applied unidimensional and bifactor item response theory (IRT) models to data from a community sample of young adults (n = 2,227). Ordinal factor analyses revealed that identifying a coherent latent structure in the 40-item SAS data was challenging due to (a) the presence of multiple small content clusters (e.g., doublets); (b) modest relations between those clusters, which, in turn, implies a general factor of only modest strength; (c) items that shared little variance with the majority of items; and (d) cross-loadings in bifactor solutions. Consequently, we conclude that SAS responses cannot be modeled accurately by either unidimensional or bifactor IRT models. Although the application of a bifactor model to a reduced 17-item set met with better success, significant psychometric and substantive problems remained. Results highlight the challenges of applying latent variable models to scales that were not originally designed to fit these models.     

An item factor analysis and item response theory-based revision of the Everyday Discrimination Scale

The Everyday Discrimination Scale (EDS), a widely used measure of daily perceived discrimination, is purported to be unidimensional, to function well among African Americans, and to have adequate construct validity. Two separate studies and data sources were used to examine and cross-validate the psychometric properties of the EDS. In Study 1, an exploratory factor analysis was conducted on a sample of African American law students (N = 589), providing strong evidence of local dependence, or nuisance multidimensionality within the EDS. In Study 2, a separate nationally representative community sample (N = 3,527) was used to model the identified local dependence in an item factor analysis (i.e., bifactor model). Next, item response theory (IRT) calibrations were conducted to obtain item parameters. A five-item, revised-EDS was then tested for gender differential item functioning (in an IRT framework). Based on these analyses, a summed score to IRT-scaled score translation table is provided for the revised-EDS. Our results indicate that the revised-EDS is unidimensional, with minimal differential item functioning, and retains predictive validity consistent with the original scale.     

Score Metric Equivalence of the Psychopathy Checklist-Revised (PCL-R) across criminal offenders in North America and the United Kingdom: a critique of Cooke, Michie, Hart, and Clark (2005) and new analyses

David Cooke and colleagues have published a series of item response theory (IRT) studies investigating the equivalence of the Psychopathy Checklist-Revised (PCL-R) for European versus North American (NA) male criminal offenders. They have consistently concluded that PCL-R scores are not equivalent, with European offenders receiving scores up to five points lower than those in NA when matched according to the latent trait. In this article, the authors critique the Cooke et al. analyses and demonstrate how their anchor item selection method is responsible for their final conclusions concerning the apparent lack of equivalence. The authors provide a competing IRT analysis using an iterative purification strategy for anchor item selection and show how this more justifiable approach leads to very different conclusions regarding the equivalence of the PCL-R. More generally, it is argued that strong interpretations of IRT analyses in the presence of uncorroborated anchor items can be highly misleading when evaluating score metric equivalence.     

Differential item functioning in a Spanish translation of the PTSD checklist: detection and evaluation of impact

This study demonstrated the application of an innovative item response theory (IRT) based approach to evaluating measurement equivalence, comparing a newly developed Spanish version of the Posttraumatic Stress Disorder Checklist-Civilian Version (PCL-C) with the established English version. Basic principles and practical issues faced in the application of IRT methods for instrument evaluation are discussed. Data were derived from a study of the mental health consequences of community violence in both Spanish speakers (n = 102) and English speakers (n = 284). Results of differential item functioning (DIF) analyses revealed that the 2 versions were not fully equivalent on an item-by-item basis in that 6 of the 17 items displayed uniform DIF. No bias was observed, however, at the composite PCL-C scale score, indicating that the 2 language versions can be combined for scale-level analyses.     

An application of item response theory to alexithymia assessment among abstinent alcoholics.

An item response theory (IRT) model identified three dimensions assessed by the Toronto Alexithymia Scale (TAS) in a sample of 130 male applicants for inpatient care at a Veterans Administration (VA) medical center alcoholism treatment program. A unidimensional solution did not capture all of alexithymia's theoretical features. Subjects with lower alexithymia scores gave positive responses to items tapping emotional awareness deficits; only those with higher alexithymia scores gave positive responses to items tapping external, operative cognitive style. Thus, a total TAS score may not represent alexithymia accurately in substance-abusing patient populations.     

Differential functioning of the Beck depression inventory in late-life patients: use of item response theory

The present analyses examined age-related measurement bias in responses to items on the revised Beck Depression Inventory (BDI) in depressed late-life patients versus midlife patients. Item response theory (IRT) models were used to equate the scale and to differentiate true-group differences from bias in measurement in the 2 samples. Baseline BDI data (218 late life and 613 midlife) were used for the present analysis. IRT results indicated that late-life patients tended to report fewer cognitive symptoms, especially at low to average levels of depression. Conversely, they tended to report more somatic symptoms, especially at higher levels of depression. Adjusted cutoff scores in the late-life group are provided, and possible reasons for age-related differences in the performance of the BDI are discussed.