Loss of Information in Estimating Item Parameters in Incomplete Designs

In this paper, the efficiency of conditional maximum likelihood (CML) and marginal maximum likelihood (MML) estimation of the item parameters of the Rasch model in incomplete designs is investigated. The use of the concept of F-information (Eggen, 2000) is generalized to incomplete testing designs. The scaled determinant of the F-information matrix is used as a scalar measure of information contained in a set of item parameters. In this paper, the relation between the normalization of the Rasch model and this determinant is clarified. It is shown that comparing estimation methods with the defined information efficiency is independent of the chosen normalization. The generalization of the method to other models than the Rasch model is discussed. In examples, information comparisons are conducted. It is found that for both CML and MML some information is lost in all incomplete designs compared to complete designs. A general result is that with increasing test booklet length the efficiency of an incomplete design, compared to a complete design, is increasing, as is the efficiency of CML compared to MML. The main difference between CML and MML is seen in the effect of the length of the test booklet. It will be demonstrated that with very small booklets, there is a substantial loss in information (about 35%) with CML estimation, while this loss is only about 10% in MML estimation. However, with increasing test length, the differences between CML and MML quickly disappear.     

Estimation of the MIRID: A program and a SAS-based approach

The MIRID CML program is a program for the estimation of the parameter values of two different componential IRT models: the Rasch—MIRID and the OPLM—MIRID (Butter, 1994; Butter, De Boeck, & Verhelst, 1998). To estimate the parameters of both models, the program uses a CML approach. The model parameters can also be estimated with a MML approach that can be implemented in PROC NLMIXED of SAS Version 8. Both the MIRID CML program and the MML SAS approach are explained and compared in a simulation study. The results showed that they did about equally well in estimating the values of the item parameters but that there were some differences in the estimation of the person parameters, as could be expected from the differential assumptions regarding the distribution of the persons. The SAS MML approach is much slower than the MIRID CML program, but it is more flexible.     

The Morton-Massaro law of information integration: implications for models of perception

Information integration may be studied by analyzing the effect of 2 or more sources (e.g., auditory and visual) on participants' responses. Experiments show that ratios of response probabilities often factorize into components selectively influenced by only 1 source (e.g., 1 component affected by the acoustic source and another 1 affected by the visual source). This is called the Morton-Massaro law (MML). This article identifies conditions in which the law is optimal and notes that it reflects an implicit assumption about the statistics of the environment. Adherence to the MML can be used to assess whether the assumption is being made, and analyses of natural stimuli can be used to determine whether the assumption is reasonable. Feed-forward and interactive models subject to a channel separability constraint are consistent with the law.     

The Relationship Between Leadership Behaviors and Group Cohesion in Team Sports

The relationship between leadership behaviors and team cohesion among baseball and softball players at two school levels was analyzed in relation to predictions based on Chelladurai and Carron's (1978) Multidimensional Model of Leadership (MML). Athletes (n = 307) completed the perceived and preferred versions of the Leadership Scale for Sports (LSS) and the Group Environment Questionnaire (GEQ). Athletes' coaches (n = 23) completed the self-perceived version of the LSS. Task and social cohesion were assessed in relation to the scales of the three individual versions of the LSS and in relation to two types of discrepancy scores: value and perceptual. Although the concept of discrepancy is prominent in MML theory, the perceptual discrepancy score represents an innovation. Results indicated that, in general, team cohesion was most strongly related to the perceived LSS version and the perceptual discrepancy scores.     

On the loss of information in conditional maximum likelihood estimation of item parameters

In item response models of the Rasch type (Fischer & Molenaar, 1995), item parameters are often estimated by the conditional maximum likelihood (CML) method. This paper addresses the loss of information in CML estimation by using the information concept of F-information (Liang, 1983). This concept makes it possible to specify the conditions for no loss of information and to define a quantification of information loss. For the dichotomous Rasch model, the derivations will be given in detail to show the use of the F-information concept for making comparisons for different estimation methods. It is shown that by using CML for item parameter estimation, some information is almost always lost. But compared to JML (joint maximum likelihood) as well as to MML (marginal maximum likelihood) the loss is very small. The reported efficiency in the use of information of CML to JML and to MML in several comparisons is always larger than 93%, and in tests with a length of 20 items or more, larger than 99%.     

Checking the Assumptions of Rasch's Model for Speed Tests

Two new tests for a model for the response times on pure speed tests by Rasch (1960) are proposed. The model is based on the assumption that the test response times are approximately gamma distributed, with known index parameters and unknown rate parameters. The rate parameters are decomposed in a subject ability parameter and a test difficulty parameter. By treating the ability as a gamma distributed random variable, maximum marginal likelihood (MML) estimators for the test difficulty parameters and the parameters of the ability distribution are easily derived. Also the model tests proposed here pertain to the framework of MML. Two tests or modification indices are proposed. The first one is focused on the assumption of local stochastic independence, the second one on the assumption of the test characteristic functions. The tests are based on Lagrange multiplier statistics, and can therefore be computed using the parameter estimates under the null model. Therefore, model violations for all items and pairs of items can be assessed as a by-product of one single estimation run. Power studies and applications to real data are included as numerical examples.     

Joint Maximum Likelihood Estimation for High-Dimensional Exploratory Item Factor Analysis

Joint maximum likelihood (JML) estimation is one of the earliest approaches to fitting item response theory (IRT) models. This procedure treats both the item and person parameters as unknown but fixed model parameters and estimates them simultaneously by solving an optimization problem. However, the JML estimator is known to be asymptotically inconsistent for many IRT models, when the sample size goes to infinity and the number of items keeps fixed. Consequently, in the psychometrics literature, this estimator is less preferred to the marginal maximum likelihood (MML) estimator. In this paper, we re-investigate the JML estimator for high-dimensional exploratory item factor analysis, from both statistical and computational perspectives. In particular, we establish a notion of statistical consistency for a constrained JML estimator, under an asymptotic setting that both the numbers of items and people grow to infinity and that many responses may be missing. A parallel computing algorithm is proposed for this estimator that can scale to very large datasets. Via simulation studies, we show that when the dimensionality is high, the proposed estimator yields similar or even better results than those from the MML estimator, but can be obtained computationally much more efficiently. An illustrative real data example is provided based on the revised version of Eysenck’s Personality Questionnaire (EPQ-R).

     

Marginal maximum likelihood estimation for a psychometric model of discontinuous development

Item response theory models posit latent variables to account for regularities in students' performances on test items. Wilson's “Saltus” model extends the ideas of IRT to development that occurs in stages, where expected changes can be discontinuous, show different patterns for different types of items, or even exhibit reversals in probabilities of success on certain tasks. Examples include Piagetian stages of psychological development and Siegler's rule-based learning. This paper derives marginal maximum likelihood (MML) estimation equations for the structural parameters of the Saltus model and suggests a computing approximation based on the EM algorithm. For individual examinees, empirical Bayes probabilities of learning-stage are given, along with proficiency parameter estimates conditional on stage membership. The MML solution is illustrated with simulated data and an example from the domain of mixed number subtraction. The authors' names appear in alphabetical order. We would like to thank Karen Draney for computer programming, Kikumi Tatsuoka for allowing us to use the mixed-number subtraction data, and Eric Bradlow, Chan Dayton, Kikumi Tatsuoka, and four anonymous referees for helpful suggestions. The first author's work was supported by Contract No. N00014-88-K-0304, R&T 4421552, from the Cognitive Sciences Program, Cognitive and Neural Sciences Division, Office of Naval Research, and by the Program Research Planning Council of Educational Testing Service. The second author's work was supported by a National Academy of Education Spencer Fellowship and by a Junior Faculty Research Grant from the Committee on Research, University of California at Berkeley. A copy of the Saltus computer program can be obtained from the second author.     

A dynamic generalization of the Rasch model

In the present paper a model for describing dynamic processes is constructed by combining the common Rasch model with the concept of structurally incomplete designs. This is accomplished by mapping each item on a collection of virtual items, one of which is assumed to be presented to the respondent dependent on the preceding responses and/or the feedback obtained. It is shown that, in the case of subject control, no unique conditional maximum likelihood (CML) estimates exist, whereas marginal maximum likelihood (MML) proves a suitable estimation procedure. A hierarchical family of dynamic models is presented, and it is shown how to test special cases against more general ones. Furthermore, it is shown that the model presented is a generalization of a class of mathematical learning models, known as Luce's beta-model.     

Estimating Optimal Weights for Compound Scores: A Multidimensional IRT Approach

A method is proposed for constructing indices as linear functions of variables such that the reliability of the compound score is maximized. Reliability is defined in the framework of latent variable modeling [i.e., item response theory (IRT)] and optimal weights of the components of the index are found by maximizing the posterior variance relative to the total latent variable variance. Three methods for estimating the weights are proposed. The first is a likelihood-based approach, that is, marginal maximum likelihood (MML). The other two are Bayesian approaches based on Markov chain Monte Carlo (MCMC) computational methods. One is based on an augmented Gibbs sampler specifically targeted at IRT, and the other is based on a general purpose Gibbs sampler such as implemented in OpenBugs and Jags. Simulation studies are presented to demonstrate the procedure and to compare the three methods. Results are very similar, so practitioners may be suggested the use of the easily accessible latter method. A real-data set pertaining to the 28-joint Disease Activity Score is used to show how the methods can be applied in a complex measurement situation with multiple time points and mixed data formats.     

The academic outcomes of working memory and metacognitive strategy training in children: A double‐blind randomized controlled trial

Working memory training has been shown to improve performance on untrained working memory tasks in typically developing children, at least when compared to non‐adaptive training; however, there is little evidence that it improves academic outcomes. The lack of transfer to academic outcomes may be because children are only learning skills and strategies in a very narrow context, which they are unable to apply to other tasks. Metacognitive strategy interventions, which promote metacognitive awareness and teach children general strategies that can be used on a variety of tasks, may be a crucial missing link in this regard. In this double‐blind randomized controlled trial, 95 typically developing children aged 9–14 years were allocated to three cognitive training programmes that were conducted daily after‐school. One group received Cogmed working memory training, another group received concurrent Cogmed and metacognitive strategy training, and the control group received adaptive visual search training, which better controls for expectancy and motivation than non‐adaptive training. Children were assessed on four working memory tasks, reading comprehension, and mathematical reasoning before, immediately after, and 3 months after training. Working memory training improved working memory and mathematical reasoning relative to the control group. The improvements in working memory were maintained 3 months later, and these were significantly greater for the group that received metacognitive strategy training, compared to working memory training alone. Working memory training is a potentially effective educational intervention when provided in addition to school; however, future research will need to investigate ways to maintain academic improvements long term and to optimize metacognitive strategy training to promote far‐transfer. A video abstract of this article can be viewed at https://youtu.be/-7MML48ZFgw     

单维项目因素分析：CCFA与IRT估计方法的比较

当观测指标变量为二分分类数据时,传统的因素分析方法不再适用。作者简要回顾了SEM框架下的分类数据因素分析模型和IRT框架下的测验题目和潜在能力的关系模型,并对两种框架下主要采用的参数估计方法进行了总结。通过两个模拟研究,比较了SEM框架下GLSc和MGLSc估计方法与IRT框架下MML/EM估计方法的差异。研究结果表明：（1）三种方法中,GLSc得到参数估计的偏差最大,MGLSc和MML/EM估计方法相差不大;（2）随着样本量增大,各种项目参数估计的精度均提高;（3）项目因素载荷和难度估计的精度受测验长度的影响;（4）项目因素载荷和区分度估计的精度受总体因素载荷（区分度）高低的影响;（5）测验项目中阈值的分布会影响参数估计的精度,其中受影响最大的是项目区分度。（6）总体来看,SEM框架下的项目参数估计精度较IRT框架下项目参数估计的精度高。此外,文章还将两种方法在实际应用中应该注意的问题提供了一些建议。     

Organizational Citizenship Behavior in Sport: Relationships with Leadership,Team Cohesion,and Athlete Satisfaction

The purpose of this study was to introduce the construct of organizational citizenship behavior (OCB; Organ, 1988 Organ, D. W. 1988. Organizational citizenship behavior: The good soldier syndrome, Lexington, MA: Lexington Books. [Crossref] , [Google Scholar]) into the sport psychology literature and examine its utility in sport. Based upon OCB research in the organizational literature, the Multidimensional Model of Leadership (MML; Chelladurai, 1978 Chelladurai, P. 1978. “A contingency model of leadership in athletics”. In Unpublished doctoral dissertation, Waterloo: University of Waterloo, Canada.  [Google Scholar]), the conceptual framework of team cohesion (CFC; Carron & Hausenblas, 1998 Carron, A. V. and Hausenblas, H. A. 1998. Group dynamics in sport, 2nd., Morgantown, WV: Fitness Information Technology.  [Google Scholar]), and a model of athlete satisfaction (MAS; Chelladurai & Riemer, 1997 Chellardurai, P. and Riemer, H. A. 1997. A classification of facets of athlete satisfaction. Journal of Sport Management, 11: 133–159.  [Google Scholar]) were selected as theoretically sound antecedents to be associated with OCB in sport. A total of 193 student-athletes from a large Division I university and a smaller Division III university representing a variety of sports participated in the study. Results of the study provide preliminary evidence for OCB as a unique and meaningful construct in sport and support many of the predictions hypothesized in the MML, CFC, and MAS. Results are discussed in the context of previous literature as well as theoretical, research, and practical implications.     

建设同他者交互关系的未来

本文的核心主题是如何建立同他者的交互关系。作者认为,伦理行为应该从呼吸开始,这是人类最为原初的举动,但在西方文化中一直未得到尊重。忘却呼吸的结果造成了精神和身体的分离,也形成了二元对立的文化传统。要建立二者的伦理关系,首先就要拥有自我爱慕的能力,这是一种栖居在自我状态、能够主宰自己行动和思维的能力,是维持自己家园的前提。在此基础上,作者认为应该开放自我的世界迎接他者的到来,把自己封闭在自我世界的结果将导致对他者异质性的排斥。同时,有必要保持沉默,要耐心倾听,更要换一个方式讲话,充分开发知觉感受,以尊重他者完成自我的超越。二者关系也因此得以建立,这一尊重差异基础之上的二者关系不仅适用于处理性别关系,也可以应用于处理其他文化差异中的二者关系,而无数的二者关系最终组成了多元的世界。     

治疗决策十题

治疗决策是临床决策中的重要组成部分。为了提高治疗决策水平,临床医生可以从以下几个基本环节入手深究决策依据、明确治疗目标、坚持疗效优化、强调安全第一、注意条件约束、注重时效原则、突出救治重点、减损方案危害、分析失悔程度和了解敏感阈值。     

Zur Dynamik der Interaktion in der Supervision

The manifold functions of a supervisor in following the course of complex processes together with the trainee, are: ? to keep the goals of the supervision in view, ? to establish a teaching alliance and to support the wish and ambitions of the candidate to learn, ? to build a platform for the complex interactions with the trainee with regard to the dynamics of the training situation and keeping in mind the institutional influences, ? to lay down the setting for the work, ? to explore and to reflect how transference and counter-transference influence the interaction between patient and analyst as well as between trainee and supervisor, ? to examine these interactions together focussing continuously on the interaction between candidate and patient, and to encourage the candidate to do the same on his own, ? to continuously formulate hypotheses about the core conflict, the transference phenomena and resistance of the patient, ? to explore and reflect on the cooperative work.     

Psychological and behavioral implications of connectedness to communities with opposing values and beliefs

Without a doubt, people can feel simultaneously connected to multiple communities (e.g., Deaux, 1993; Roccas & Brewer, 2002). But, to what degree can people feel simultaneously connected to communities with opposing beliefs and values? And, more importantly, what are the psychological implications of being dually connected to these communities? Capitalizing on a sample of individuals positioned to potentially feel connected to two very distinct communities, we examined jail inmates' (N = 256) sense of connectedness to the criminal community and to the community at large. Results indicated that (a) connectedness to the community at large is orthogonal to connectedness to the criminal community, supporting the supposition that it is possible to be dually connected to opposing communities; and (b) connectedness to the community at large moderated the relationship between criminal connectedness and indicators of psychological distress, suggesting that connectedness to the criminal community is especially problematic when it occurs in tandem with connectedness to the community at large. These findings are consistent with predictions from the self-expansion model.     

论生态学的马克思主义的人道主义

生态学的马克思主义基于对人类命运的关照,立足人道主义,反对以单纯保护生态为目的的生态中心主义和企图转嫁生态矛盾的生态帝国主义;认为资本主义的生产、分配和消费方式是引发生态危机的根源;要想摆脱已经上升为人和自然之主要矛盾的生态危机,不仅需要建立“无增长的”经济模式,倡导“劳动闲暇一元论”和日常生活的“简朴主义”,根除虚假需求,克服异化消费,使生产过程分散化、民主化和管理科学化,变控制自然为解放自然,提倡技术为全人类服务,使生态学充满人道主义,而且需要根除资本主义生产的利润动机,杜绝独裁主义的政治和生产逻辑,反对技术法西斯主义,最终废除资本主义制度,建立非极权的、更易于生存的、以实现生态与社会和谐发展为目标的“稳态社会主义”。     

The Tragedy of the Commons as an Essentially Aggregative Harm

This article identifies ‘the tragedy of the commons’ as an essentially aggregative harm and considers what agents in such a scenario owe to one another. It proposes that the duty to take reasonable precautions requires that agents make efforts to establish collective solutions to any essentially aggregative harm to which they would otherwise contribute. Baylor Johnson has argued that the general obligation to promote the common good requires that agents make efforts to establish a collective agreement to avert a potential tragedy of the commons. This article agrees with Johnson's analysis but argues that there are also negative duties, which give commons users additional moral reason to take collective action to prevent the destruction of the utility of the commons. These duties link commons users to resolving this particular problem and provide grounds to demand that they make greater efforts to prevent the destruction of the commons compared to bystanders. The article suggests that fulfilling negative duties can require establishing collective institutions with the power to regulate human action and interaction. This analysis could be applied to a range of social problems which result from the aggregation of actions and practices.