A General Family of Limited Information Goodness-of-Fit Statistics for Multinomial Data

Maydeu-Olivares and Joe (J. Am. Stat. Assoc. 100:1009–1020, 2005; Psychometrika 71:713–732, 2006) introduced classes of chi-square tests for (sparse) multidimensional multinomial data based on low-order marginal proportions. Our extension provides general conditions under which quadratic forms in linear functions of cell residuals are asymptotically chi-square. The new statistics need not be based on margins, and can be used for one-dimensional multinomials. We also provide theory that explains why limited information statistics have good power, regardless of sparseness. We show how quadratic-form statistics can be constructed that are more powerful than X ² and yet, have approximate chi-square null distribution in finite samples with large models. Examples with models for truncated count data and binary item response data are used to illustrate the theory.     

Creativity,Schizotypicality, and Mystical Experience: An Empirical Study

This study examined the commonalities and the differences between creativity and the schizophrenia spectrum. The variables measured were creativity, schizotypy, absorption, mystical experiences, spatial ability, balance, positive and negative presence, and neuroticism. Three community groups were recruited: 31 artists, 10 people with schizophrenia, and 31 comparisons matched for gender and age with the artists. A larger student group, consisting of 102 students, was also recruited to examine the correlations among the same variables within a larger, more normative, group. The largest commonality between the artist and the schizophrenic groups was the propensity to mystical experiences. The greatest differences between them were that the artists were higher in creativity, had better spatial ability, had better balance, had more positive states of presence, and were lower in neuroticism. In the student group, creativity was positively correlated with positive schizotypy, impulsive nonconformity, spatial ability, positive presence, absorption, and mystical experiences, although in the student group, the relation between creativity and mystical experiences was completely mediated by absorption.     

When Sibling Becomes Competitor: A Qualitative Investigation of Same-Sex Sibling Competition in Elite Sport

Abstract

The effects of performance strategies, goal setting, and self-evaluative recording on the acquisition of a novel motoric skill were studied with 90 high school girls. It was hypothesized that greater acquisition would occur when (a) an analytic strategy was used instead of imaginal strategy, (b) practice goals were shifted dynamically during learning instead of remaining unchanging or fixed, and (c) self-evaluative recording of strategic performance processes was present rather than absent. Support for all three hypotheses was found. In addition to improving motoric skill acquisition, these same self-regulatory processes significantly enhanced three sources of learners' motivation: self-efficacy beliefs, self-satisfaction, and intrinsic interest. Additional analyses revealed that self-evaluative recording enhanced strategy attributions during learning which were predictive of improved self-efficacy, self-satisfaction, and intrinsic interest during posttesting. Self-efficacy was highly predictive of subsequent dart-skill performance. The results were discussed in terms of a strategic cycle view of self-regulation of motoric learning.     

Research Notes

Abstract

The purpose of the present study was to conduct a preliminary criterion validity assessment of the Athletic Motivation Inventory (AMI). Subjects were 649 ice hockey players who were eligible for the National Hockey League (NHL) entry draft. Each player was rated for the dependent measure, psychological strength, by at least one of three NHL scouts from one team. This criterion measure was based on the observation of on-ice play. The data were analyzed using three independent multiple regression analyses, one for each scout, with the eleven AMI subscales as predictor variables. The results show that less than four percent of the variance in scout ratings was accounted for by AMI scores. The data are interpreted as showing that on-ice behaviors inferred by NHL scouts to represent psychological strength have little relationship to what the AMI measures. Finally, the data are discussed for their relevance to current NHL entry draft screening procedures and to future validity research.     

Exploring the Effects of Rational Emotive Behavior Therapy on the Irrational Beliefs and Self-Determined Motivation of Triathletes

The present study addresses proposals that Rational Emotive Behavior Therapy (REBT) can influence self-determined motivation. Triathletes received REBT education, followed by either Rational Emotive Personal-Disclosure Mutual-Sharing (REPDMS) or Personal-Disclosure Mutual-Sharing. Measurements of irrational beliefs and self-determined motivation were collected prior to REBT (baseline), during the REBT education period, and after the REPDMS session (postintervention). An ABC single-case design was adopted, allowing for statistical and visual analysis of data over time and between groups. Findings indicate that REBT led to decreased irrational beliefs and increased self-determined motivation. REPDMS appeared to have no influence on irrational beliefs over and above REBT education.     

Relational Spirituality and Dealing With Transgressions: Development of the Relational Engagement of the Sacred for a Transgression (REST) Scale

In the study of spirituality and forgiveness, researchers have begun to look at how dynamic spiritual experiences influence forgiveness. In three studies, we develop the Relational Engagement of the Sacred for a Transgression (REST) Scale, which assesses the extent to which victims actively engage a relationship with the Sacred to deal with a specific transgression. In Study 1, exploratory factor analysis was used to determine the factor structure of the REST. In Study 2, the factor structure was replicated using confirmatory factory analysis. The REST was correlated with religious commitment and negatively related to avoidant attachment to God. In Study 3, evidence supporting the scale's construct validity was adduced. REST scores were correlated with other appraisals of relational spirituality. Structural equation modeling was used to compare theoretical models. REST scores were related to dedication to the Sacred and viewing the transgression as a desecration. In addition, REST scores were positively related to empathy, which was positively related to forgiveness. Furthermore, REST scores predicted forgiveness above and beyond other appraisals of relational spirituality.     

Principles of polemic in Russell

Three polemical exchanges between Bertrand Russell and F. H. Bradley, F. C. S. Schiller, and the prosecutor in Russell's trial for violating the Defence of the Realm Act in 1916 are examined in order to bring to light some paradigms of informal reasoning, with a view to encouraging research into the logic of natural language. Ten such paradigms are expressed, e.g., Agree with the contention but not for the reasons given; Agree that the criticism is valid and report that one has modified the criticized doctrine but not in the manner suggested.     

A Cathode Ray Oscillograph Apparatus for the Psychological Laboratory

A computer simulation which generated various sample distributions was performed. The equal interval assumption and degree of skewness were systematically manipulated to examine the sensitivity of the t and Mann-Whitney tests to varying degrees of violations of these t test assumptions. Results show that of the 348 sets (2436 t tests), 94 (27%) contained shifts from significant to nonsignificant t test values under mild violations of the equal-interval and normality assumption and would have led to decision errors. Of these, 55% would have been Type I and 45% would have been Type II. The implications of these results are discussed relative to Types I and II errors, to the use of parametric and nonparametric statistics, and to the likelihood of encountering such problems in sampled distributions.