Some neglected problems in IRT

The paper addresses three neglected questions from IRT. In section 1, the properties of the “measurement” of ability or trait parameters and item difficulty parameters in the Rasch model are discussed. It is shown that the solution to this problem is rather complex and depends both on general assumptions about properties of the item response functions and on assumptions about the available item universe. Section 2 deals with the measurement of individual change or “modifiability” based on a Rasch test. A conditional likelihood approach is presented that yields (a) an ML estimator of modifiability for given item parameters, (b) allows one to test hypotheses about change by means of a Clopper-Pearson confidence interval for the modifiability parameter, or (c) to estimate modifiability jointly with the item parameters. Uniqueness results for all three methods are also presented. In section 3, the Mantel-Haenszel method for detecting DIF is discussed under a novel perspective: What is the most general framework within which the Mantel-Haenszel method correctly detects DIF of a studied item? The answer is that this is a 2PL model where, however, all discrimination parameters are known and the studied item has the same discrimination in both populations. Since these requirements would hardly be satisfied in practical applications, the case of constant discrimination parameters, that is, the Rasch model, is the only realistic framework. A simple Pearsonx ² test for DIF of one studied item is proposed as an alternative to the Mantel-Haenszel test; moreover, this test is generalized to the case of two items simultaneously studied for DIF.     

An extension of the partial credit model with an application to the measurement of change

The partial credit model is considered under the assumption of a certain linear decomposition of the item × category parameters _ih into basic parameters _j. This model is referred to as the linear partial credit model. A conditional maximum likelihood algorithm for estimation of the j is presented, based on (a) recurrences for the combinatorial functions involved, and (b) using a quasi-Newton approach, the so-called Broyden-Fletcher-Goldfarb-Shanno (BFGS) method; (a) guarantees numerically stable results, (b) avoids the direct computation of the Hesse matrix, yet produces a sequence of certain positive definite matricesB _k ,k=1, 2, ..., converging to the asymptotic variance-covariance matrix of the . The practicality of these numerical methods is demonstrated both by means of simulations and of an empirical application to the measurement of treatment effects in patients with psychosomatic disorders.The authors thank one anonymous reviewer for his constructive comments. Moreover, they thankfully acknowledge financial support by the Österreichische Nationalbank (Austrian National Bank) under Grant No. 3720.     

Taking an individualized approach to the assessment of self-efficacy and the prediction of alcoholic relapse

The present study reports on a clinical instrument designed for assessing self-efficacy in alcoholics. In contrast to studies that construct general measures, it was proposed that taking an individualized approach to assessment might offer an effective methodology. Thirty-four alcoholics in an outpatient, behaviorally oriented treatment program participated as subjects. During therapy, an Individualized Self-Efficacy Survey (ISS) was developed for each subject. The ISS was developed by (a) administering the Drinking Patterns Questionnaire (DPQ) to identify important problem areas (e.g., work, children, marital) and specific drinking antecedents and (b) constructing a 15-item scale using each drinker's most important cues. The utility of having clients choose their own items was supported by finding a significant relationship between problem areas identified as important on the DPQ and the areas reported as surrounding relapse. ISS ratings were reflective of efficacy changes during treatment, while posttreatment ISS scores were predictive of subsequent relapse. Situation-specific prediction of relapse was not found. The advantages of this methodology for clinical use are discussed, while general directions for future research are suggested.     

解题策略的同质性和线性逻辑斯谛模型的拟合

为探讨线性逻辑斯谛模型（ＬＬＴＭ）的拟合条件及其和解题策略同质性之间的关系,让被试比较两个负整数指数幂的大小,发现全体被试的数据不能与拉希模型及ＬＬＴＭ相拟合。把被试按其解题策略分成不同策略组后,同一策略组被试的数据可以拟合于拉希模型,但对于ＬＬＴＭ,同一策略组的数据中部分项目的拟合较好,另外一些项目的拟合较差。这一结果表明,解题策略的同质性是ＬＬＴＭ拟合的必要条件,但还不是充分条件。     

Families and family therapy in Germany

The author describes some of the effects of decades of life under a dictatorship for East Germans and the effects on family life and family therapy of changes following the recent reunification of Germany. A case example illustrates some intergenerational family problems associated with the changes. Contrasts are drawn between East and West Germany and family therapy's present stage of development is depicted in both parts of the reunified country. Germany has approximately 10,000 trained family therapists, a minority of whom work in private practice. The largest amount of family and couples therapy is performed in agencies.Portions of this material were first presented in a poster session at the American Association for Marriage and Family Therapy annual conference in Miami Beach, 1992.     

The holocaust of first nation people: Residual effects on parenting and treatment implications

The residential school experience was devastating for many First Nation (Indian) people. The lingering effects of this era have been far reaching and remain painfully evident throughout Native communities. One of the more obvious areas directly affected has been parenting. This paper discusses current parenting difficulties of Native clients who were formerly in residential schools. A connection is made between the abuse experienced by these individuals and their parental struggles. Along with addressing various sociopolitical issues, a number of clinical interventions designed to promote the healing process of these victims and their families are provided and discussed.