Analysis of contingency tables by ideal point discriminant analysis

Cross-classified data are frequently encountered in behavioral and social science research. The loglinear model and dual scaling (correspondence analysis) are two representative methods of analyzing such data. An alternative method, based on ideal point discriminant analysis (DA), is proposed for analysis of contingency tables, which in a certain sense encompasses the two existing methods. A variety of interesting structures can be imposed on rows and columns of the tables through manipulations of predictor variables and/or as direct constraints on model parameters. This, along with maximum likelihood estimation of the model parameters, allows interesting model comparisons. This is illustrated by the analysis of several data sets.Presented as the Presidential Address to the Psychometric Society's Annual and European Meetings, June, 1987. Preparation of this paper was supported by grant A6394 from the Natural Sciences and Engineering Research Council of Canada. Thanks are due to Chikio Hayashi of University of the Air in Japan for providing the ISM data, and to Jim Ramsay and Ivo Molenaar for their helpful comments on an earlier draft of this paper.     

Multidimensional perfectionism and the DSM-5 personality traits

Encouraging further research on the dimensional assessment of personality disorders (PDs), Section III of the DSM-5 introduced a hybrid model for the assessment of six PDs employing self-reports on 25 maladaptive personality traits (“DSM-5 personality traits”). Following suggestions that multidimensional perfectionism is an important characteristic across various personality disorders (Ayearst, Flett, & Hewitt, 2012), the present study investigated how personal (self-oriented) and interpersonal (other-oriented and socially prescribed) forms of perfectionism predicted the DSM-5 personality traits in a sample of 311 university students. Multiple regressions (controlling for the overlap between the different forms of perfectionism) showed that socially prescribed perfectionism positively predicted the traits defining schizotypal, borderline, avoidant, and obsessive-compulsive PD; other-oriented perfectionism positively predicted the traits defining narcissistic PD; and both socially prescribed and other-oriented perfectionism positively predicted the traits defining antisocial PD. In contrast, self-oriented perfectionism positively predicted only one of the four traits defining obsessive-compulsive PD (rigid perfectionism). Showing that multidimensional perfectionism predicted all DSM-5 traits defining the personality disorders of Section III, the findings suggest that future DSM-5 updates may profit from including interpersonal aspects of perfectionism as a diagnostic criterion.     

MIRT模型中多维能力及其相关矩阵估计的影响因素

多维项目反应理论因其模型本身的天然优势及其兼具因素分析与项目反应理论于一身的优点,而被广大研究者及应用者所重视.本研究在前人研究基础上,重点讨论MIRT多维能力及能力间相关矩阵的参数估计问题.研究采用Monte Carlo模拟方法进行,在三因素完全随机设计（4 ×3×3）下,使用MCMC算法,探讨测验维度数、维度间的相关大小和测验项目数三个因素对MIRT能力及其相关矩阵估计的影响.     

高考数学试卷多维项目反应理论的分析及应用

高考数学学科试卷的试题综合性较强,一道试题通常考查多种能力属性,而基于单维性假设下的经典测量理论和传统的项目反应理论无法完成该种情形下试卷测量性能分析和考生作答表现分析.本文以MIRT理论为基础,使用CONQUEST软件为工具进行分析,可以获得试卷内部不同能力维度之间的相关以及考生不同维度的能力参数,为提升命题质量和改进教学提供了依据,表明MIRT具有很好的应用前景.由于MIRT理论的复杂性以至于目前分析软件的不足制约其进一步的深入应用,这是今后应该深入研究的问题.     

A cross-cultural study of the representation of shape: Sensitivity to generalized cone dimensions

Many of the phenomena underlying shape recognition can be derived from an assumption that the representation of simple parts can be understood in terms of independent dimensions of generalized cones, e.g., whether the axis of a cylinder is straight or curved or whether the sides are parallel or nonparallel. What enables this sensitivity? One explanation is that the representations derive from our immersion in a manufactured world of simple objects, e.g., a cylinder and a funnel, where these dimensions can be readily discerned independent of other stimulus variations. An alternative explanation is that genetic coding and/or early experience with extended contours—a characteristic of all naturally varying visual worlds—would be sufficient to develop the appropriate representations. The Himba, a seminomadic people in a remote region of Northwestern Namibia with little exposure to regular, simple artifacts, were virtually identical to western observers in representing generalized-cone dimensions of simple shapes independently. Thus immersion in a world of simple, manufactured shapes is not required for the development of a representation that specifies these dimensions independently.     

Individual differences in anxiety and executive functioning: A multidimensional view

The relationship between individual differences in anxiety and executive functioning was investigated in a sample of young adults. Verbal and spatial working memory, resistance to interference, negative priming, and task‐switching measures were used to assess three executive functioning dimensions: updating, inhibition, and shifting. An additional index of basic psychomotor speed was added to this cognitive battery. According to the multidimensional interaction model of anxiety proposed by Endler (1997), state (cognitive–worry and autonomic–emotional) and trait (related to social evaluation, physical danger, ambiguous situations, and daily routines) anxiety were assessed in this evaluation context. Results indicated that shifting and inhibition (negative priming) efficiency were negatively related to state (cognitive–worry) and trait (related to social evaluation) anxiety. However, there was a relative advantage of subjects higher in social evaluation apprehensions in their memory updating performance. The results are consistent with several predictions of the attentional control theory (Eysenck, Derakshan, Santos, & Calvo, 2007), and are relevant for research regarding the interaction of situational, personality, and cognitive functioning dimensions.     

Mobile Persuasion: Can Screen Size and Presentation Mode Make a Difference to Trust?

Guided by the Modality, Agency, Interactivity, and Navigability (MAIN) model of technology effects and the heuristic–systematic model (HSM) of information processing, this study explicates underlying mechanisms by which variations in screen size (large vs. small) and presentation mode (video vs. text) contribute to user perceptions of media content on their smartphones. Results from a between‐subjects experiment (N = 120) indicate that large screen size and video mode promote heuristic processing while small screen size and text mode encourage systematic processing. Heuristic processing leads to greater affective and behavioral trust while systematic processing is associated with cognitive trust. Phantom model analysis reveals the effects of large screen size and video mode on purchase intentions are sequentially mediated by type of information processing and multidimensional trust.     

Children with Autism and Their Friends: A Multidimensional Study of Friendship in High-Functioning Autism Spectrum Disorder

This study of Israeli and American preadolescent children examined characteristics of friendship in 44 children with high-functioning autism spectrum disorder (HFASD) compared to 38 typically developing children (TYP), as they interacted with a close friend Participants were 8-12 years of age (HFASD: Israel, n = 24; USA, n = 20; TYP: Israel, n = 23; USA, n = 15), and were matched on SES, receptive language vocabulary, child age, and gender (each study group included one girl). Multidimensional assessments included: individual behaviors of target children and observed child-friend interactions during construction and drawing scenarios; target child's and friend's self-perceived mutual friendship qualities; and mother-reported characteristics (friendship's duration/frequency; friend's age/gender/disability status). Overall, children with HFASD displayed a number of differences on individual and dyadic friendship measures. Both age and verbal abilities affected friendship behaviors. Children with HFASD and their friends perceived friendship qualities similarly, suggesting that preadolescents with HFASD have capacities for interpersonal awareness. Between-group similarities also emerged on several complex social behaviors, suggesting that friendship follows a developmental trajectory in autism and may enhance social interaction skills in autism.     

Differences in self-reported work ethic across three career stages

Miller and Woehr’s Multidimensional Work Ethic Profile (as described in Miller, Woehr, & Hudspeth, 2002) was used to examine differences in work ethic across career stages. Participants in the trial stage scored significantly higher on the hard work and delay of gratification dimensions, but participants in the stabilization and maintenance stages scored higher on the morality, wasted time, and leisure dimensions. No significant differences were found for centrality or self-reliance. The results provide evidence of the importance of studying work ethic across the lifespan and of the multidimensional nature of the work ethic construct.     

ConPar: a method for identifying groups of concordant subject proximity matrices for subsequent multidimensional scaling analyses

A common representation of data within the context of multidimensional scaling (MDS) is a collection of symmetric proximity (similarity or dissimilarity) matrices for each of M subjects. There are a number of possible alternatives for analyzing these data, which include: (a) conducting an MDS analysis on a single matrix obtained by pooling (averaging) the M subject matrices, (b) fitting a separate MDS structure for each of the M matrices, or (c) employing an individual differences MDS model. We discuss each of these approaches, and subsequently propose a straightforward new method (CONcordance PARtitioning—ConPar), which can be used to identify groups of individual-subject matrices with concordant proximity structures. This method collapses the three-way data into a subject×subject dissimilarity matrix, which is subsequently clustered using a branch-and-bound algorithm that minimizes partition diameter. Extensive Monte Carlo testing revealed that, when compared to K-means clustering of the proximity data, ConPar generally provided better recovery of the true subject cluster memberships. A demonstration using empirical three-way data is also provided to illustrate the efficacy of the proposed method.