Nonparametric IRT: Testing the bi-isotonicity of isotonic probabilistic models (ISOP)

Nonparametric tests for testing the validity of polytomous ISOP-models (unidimensional ordinal probabilistic polytomous IRT-models) are presented. Since the ISOP-model is a very general nonparametric unidimensional rating scale model the test statistics apply to a great multitude of latent trait models. A test for the comonotonicity of item sets of two or more items is suggested. Procedures for testing the comonotonicity of two item sets and for item selection are developed. The tests are based on Goodman-Kruskal's gamma index of ordinal association and are generalizations thereof. It is an essential advantage of polytomous ISOP-models within probabilistic IRT-models that the tests of validity of the model can be performed before and without the model being fitted to the data. The new test statistics have the further advantage that no prior order of items or subjects needs to be known.     

A note on the equivalence of the graded response model and the sequential model

This paper concerns items that consist of several item steps to be responded to sequentially. The item scoreX is defined as the number of correct responses until the first failure. Samejima's graded response model states that each steph=1,...,m is characterized by a parameterb _h , and, for a subject with ability, Pr(Xh; )=F(–b _h ). Tutz's general sequential model associates with each step a parameterdh, and it states that Pr(Xh;)= _r ^=1h G(–d _r ). Tutz's (1991, 1997) conjectures that the models are equivalent if and only ifF(x)=G(x) is an extreme value distribution. This paper presents a proof for this conjecture.     

Milestones in the development of infant numeracy

This article deals with the development of numeracy among young children of the four to seven year age group. The research investigation described had two aims: to see how early numeracy develops in children of different ages; and to see whether there are fixed points which might serve as milestones in the development of infant numeracy. The results of this investigation involving 96 children indicate a strong development of numeracy skills during this period. With reference to the literature, it is also shown that certain items of a test previously developed for this purpose may be taken as core items that do indeed represent milestones in the development of infant numeracy.     

The influence of lay theories of Feng Shui on consumers' peace of mind: The role of regulatory fit

With its history dating back five millennia, the art of creating harmonious surroundings – commonly referred to as Feng Shui – has become deeply rooted in Chinese culture. Yet despite its significant effect on people's daily lives, a dearth of research is available on how Feng Shui influences consumers' decisions. This study investigates the influence of Feng Shui on customers' attitude based on their regulatory focus, providing suggestions for business opportunities. Three studies examine whether Feng Shui's goals influence participants' decisions and feelings of appropriateness. Study 1 demonstrated that the fit between Feng Shui's suggestions and consumers' regulatory focus impacted decision making. Participants were more likely to adopt the Feng Shui practitioner's suggestions of a goal compatible with the consumers' regulatory focus. Study 2 provided evidence that a regulatory focus also impacts participants' peace of mind. Study 3 tested whether the value experienced from regulatory fit is reflected in the price. Specifically, promotion‐oriented individuals feel more accepting of promotion‐focused Feng Shui that is consistent with an approach goal while prevention‐oriented individuals are more persuaded by prevention‐focused Feng Shui that is consistent with an avoidance goal. When the Feng Shui appeal is compatible with the self‐regulatory focus, individuals demonstrate a greater feeling of appropriateness and produce a higher level of peace of mind.     

Validating the coping scale for Chinese athletes using multidimensional Rasch analysis

Objective

The Coping Scale for Chinese Athletes (CSCA) was developed and validated using classic testing theory in 2004 (Chung, Si, Lee, & Liu, 2004). This study aimed to validate CSCA using multidimensional Rasch analysis with the ConQuest software programme.

Method

The sample in this study comprised 367 athletes from mainland China. A Multidimensional Rating Scale model was applied to investigate the validity of the four-dimension scale. Standard fit statistics (Infit and Outfit MNSQ) and Differential item functioning (DIF) were computed to examine the model-data fit. Test reliability and category functioning were also checked.

Results

The item difficulty and the athletes’ trait level of coping were calibrated along the same latent trait scale. Three items were removed from the scale due to misfit with the Rasch model. No DIF across gender was found for the remaining 21 items. Test reliabilities for the four subscales ranged from 0.66 to 0.76. The results also indicated that the original 5-category rating scale structure did not function well.

Conclusion

The multidimensional Rasch analysis supported that the 21-item CSCA measures four latent traits of coping of Chinese athletes as expected. The results also demonstrated advantages of multidimensional Rasch analysis over unidimensional Rasch analysis as well as traditional approach in examining the quality of multidimensional scale in sport settings.     

An Integrative Model Linking Feedback Environment and Organizational Citizenship Behavior

ABSTRACT

Past empirical evidence has suggested that a positive supervisor feedback environment may enhance employees' organizational citizenship behavior (OCB). In this study, we aim to extend previous research by proposing and testing an integrative model that examines the mediating processes underlying the relationship between supervisor feedback environment and employee OCB. Data were collected from 259 subordinate-supervisor dyads across a variety of organizations in Taiwan. We used structural equation modeling to test our hypotheses. The results demonstrated that supervisor feedback environment influenced employees' OCB indirectly through (1) both positive affective-cognition and positive attitude (i.e., person-organization fit and organizational commitment), and (2) both negative affective-cognition and negative attitude (i.e., role stressors and job burnout). Theoretical and practical implications are discussed.     

Multilevel Reliability Measures of Latent Scores Within an Item Response Theory Framework

Abstract

This paper evaluated multilevel reliability measures in two-level nested designs (e.g., students nested within teachers) within an item response theory framework. A simulation study was implemented to investigate the behavior of the multilevel reliability measures and the uncertainty associated with the measures in various multilevel designs regarding the number of clusters, cluster sizes, and intraclass correlations (ICCs), and in different test lengths, for two parameterizations of multilevel item response models with separate item discriminations or the same item discrimination over levels. Marginal maximum likelihood estimation (MMLE)-multiple imputation and Bayesian analysis were employed to evaluate the accuracy of the multilevel reliability measures and the empirical coverage rates of Monte Carlo (MC) confidence or credible intervals. Considering the accuracy of the multilevel reliability measures and the empirical coverage rate of the intervals, the results lead us to generally recommend MMLE-multiple imputation. In the model with separate item discriminations over levels, marginally acceptable accuracy of the multilevel reliability measures and empirical coverage rate of the MC confidence intervals were found in a limited condition, 200 clusters, 30 cluster size, .2 ICC, and 40 items, in MMLE-multiple imputation. In the model with the same item discrimination over levels, the accuracy of the multilevel reliability measures and the empirical coverage rate of the MC confidence intervals were acceptable in all multilevel designs we considered with 40 items under MMLE-multiple imputation. We discuss these findings and provide guidelines for reporting multilevel reliability measures.     

When fit fosters favoring: The role of private self-focus

The present research extends work on the ‘the value from fit’ principle by showing that regulatory fit effects on persuasion and behavioral compliance are stronger for people high, as opposed to low, in private self-focus. Previous research has shown that people high in private self-focus are strongly affected by external information. In the current work, we demonstrated that people high (vs. low) in private self-focus are more persuaded by information that matches (vs. mismatches) activated self-knowledge.     

有时间压力下学习率对学习时间分配议程的影响:来自眼动的证据

利用眼动分析技术,通过设置不同难度和分值的计算项目,探讨了在有时间压力下学习者的学习时间分配。结果发现:(1)在首次项目选择上,学习者优先选择学习率最高的项目;(2)在学习过程中,学习者的项目选择次序也是根据学习率由高到低。总之,在学习时间分配上,如果需要权衡难度与分值,学习者会考虑单位时间的获益,也就是以学习率为议程的主要依据。研究不仅利用眼动分析技术证实了基于议程的学习时间分配模型,而且进一步揭示了学习率是设置学习时间分配议程的重要依据。     

Effets des pratiques organisationnelles vertueuses sur les comportements citoyens et l’intention de rester dans l’entreprise : le rôle médiateur de l’adéquation personne-organisation

The aims of this study were to explore the effects of virtuous organizational practices on employees’ citizenship behaviors towards the organization and employees’ intention to remain, and to test the mediating role of the person-organization fit in these relationships. A total of 290 employees from different sectors responded to the study. The results revealed that these practices had positive effects on citizenship behavior and intention to stay in the organization and that person-organization fit mediated these relationships partially and completely respectively. The results of this study, devoted to the innovative construct of virtuous organizational practices and its relationship to work attitudes and behaviors, suggest different avenues for research and action, which are discussed.