Quantitative Psychology Commons^™

The Smallest Upper Bound For The Pth Absolute Central Moment Of A Class Of Random Variables, Martin Egozcue, Luis Fuentes García, Wing Keung Wong, Ricardas Zitikis

Martin Egozcue

We establish the smallest upper bound for the p absolute central moment over the class of all random variables with values in a compact interval. Numerical values of the bound are calculated for the first ten integer values of p, and its asymptotic behaviour derived when p tends to infinity. In addition, we establish an analogous bound in the case of all symmetric random variables with values in a compact interval. Such results play a role in a number of areas including actuarial science, economics, finance, operations research, and reliability.

An Optimal Strategy For Maximizing The Expected Real- Estate Selling Price: Accept Or Reject An Offer?, Martin Egozcue, Luis Fuentes García, Ricardas Zitikis

Martin Egozcue

Motivated by a real-life situation, we put forward a model and then derive an optimal strategy that maximizes the expected real-estate selling price when one of the only two remaining buyers has already made an offer but the other one is yet to make. Since the seller is not sure whether the other buyer would make a lower or higher offer, and given no recall, the seller needs a strategy to decide whether to accept or reject the first-come offer. The herein derived optimal seller's strategy, which maximizes the expected selling price, is illustrated under several scenarios, such as independent …

Capacity Coefficient Variations, Joseph W. Houpt, Andrew Heathcote, Ami Eidels, Nathan Medeiros-Ward, Jason Watson, David Strayer

Joseph W. Houpt

The capacity coefficient has become an increasingly popular measure of efficiency under changes in workload. It has been used in applications ranging from psychophysical detection tasks to complex cognitive tasks, as well as in addressing questions in social and clinical psychology. The basic formulation compares response times to each stimulus property (or task) in isolation to response times with all stimulus properties (or tasks) at the same time. A number of variations on the basic capacity coefficient have been used, both in the experimental design and in the calculations, and many more are possible. Here we outline the theoretical reasons …

General Recognition Theory Extended To Include Response Times: Predictions For A Class Of Parallel Systems, Joseph W. Houpt, James T. Townsend, Noah H. Silbert

Joseph W. Houpt

No abstract provided.

Convex Combinations Of Quadrant Dependent Copulas, Martin Egozcue, Luis Fuentes García, Wing Wong, Ricardas Zitikis

Martin Egozcue

It is well known that quadrant dependent (QD) random variables are also quadrant dependent in expectation (QDE). Recent literature has offered examples rigorously establishing the fact that there are QDE random variables which are not QD. The examples are based on convex combinations of specially chosen QD copulas: one negatively QD and another positively QD. In this paper we establish general results that determine when convex combinations of arbitrary QD copulas give rise to negatively or positively QD/QDE copulas. In addition to being an interesting mathematical exercise, the established results are helpful when modeling insurance and financial portfolios.

Integration–Segregation Decisions Under General Value Functions: ‘Create Your Own Bundle—Choose 1, 2 Or All 3!’, Martin Egozcue, Sebastien Massoni, Wing Wong, Ricardas Zitkiks

Martin Egozcue

Whether to keep products segregated (e.g., unbundled) or integrate some or all of them (e.g., bundle) has been a problem of profound interest in areas such as portfolio theory in finance, risk capital allocations in insurance and marketing of consumer products. Such decisions are inherently complex and depend on factors such as the underlying product values and consumer preferences, the latter being frequently described using value functions, also known as utility functions in economics. In this paper, we develop decision rules for multiple products, which we generally call ‘exposure units’ to naturally cover manifold scenarios spanning well beyond ‘products’. Our …

Gains From Diversification: A Regret Theory Approach, Martin Egozcue

Martin Egozcue

No abstract provided.

Bayesian Approaches To Assessing Architecture And Stopping Rule, Joseph W. Houpt, A. Heathcote, A. Eidels, J. T. Townsend

Joseph W. Houpt

Much of scientific psychology and cognitive science can be viewed as a search to understand the mechanisms and dynamics of perception, thought and action. Two processing attributes of particular interest to psychologists are the architecture, or temporal relationships between sub-processes of the system, and the stopping rule, which dictates how many of the sub-processes must be completed for the system to finish. The Survivor Interaction Contrast (SIC) is a powerful tool for assessing the architecture and stopping rule of a mental process model. Thus far, statistical analysis of the SIC has been limited to null-hypothesis- significance tests. In this talk …

Statistical Methods Used In Gifted Education Journals, 2006-2010, Russell Warne, Maria Lazo, Tami Ramos, Nicola Ritter

Russell T Warne

This article describes the statistical methods used in quantitative and mixed methods articles between 2006 and 2010 in five gifted education research journals. Results indicate that the most commonly used statistical methods are means (85.9% of articles), standard deviations (77.8%), Pearson’s r (47.8%), χ2 (32.2%), ANOVA (30.7%), t tests (30.0%), and MANOVA (23.0%). Approximately half (53.3%) of the articles included reliability reports for the data at hand; Cronbach’s alpha was the most commonly reported measure of reliability (41.5%). Some discussions of best statistical practice and implications for the field of gifted education are included.

Prospective Investigation Of A Ptsd Personality Typology Among Individuals With Personality Disorders, Meghan E. Mcdevitt-Murphy, M. Tracie Shea, Shirley Yen, Carlos M. Grilo, Charles A. Sanislow, John C. Markowitz, Andrew E. Skodol

Charles A. Sanislow, Ph.D.

This study investigated the replicability of a previously proposed personality typology of posttraumatic stress disorder (PTSD, and explored stability of cluster membership over a 6-month period. Participants with current PTSD (n = 156) were drawn from the Collaborative Longitudinal Personality Disorders Study (CLPS). The CLPS project tracked a large sample of individuals who met criteria for 1 of 4 target diagnoses (borderline, schizotypal, avoidant, and obsessive-compulsive) and a contrast group of individuals who met criteria for depression but no personality disorder. A cluster analysis using scales from the Schedule of Nonadaptive and Adaptive Personality yielded 3 clusters: “internalizing,” “externalizing,” and …

Managing Clustered Data Using Hierarchical Linear Modeling, Russell Warne

Russell T Warne

Researchers in nutrition research often use cluster or multistage sampling to gather participants for their studies. These sampling methods often produce violations of the assumption of data independence that most traditional statistics share. Hierarchical linear modeling is a statistical method that can overcome violations of the independence assumption and lead to correct analysis of data, yet it is rarely used in nutrition research. The purpose of this viewpoint is to illustrate the benefits of hierarchical linear modeling within a nutrition research context.

Avoidant Personality Disorder, Traits, And Type, Charles A. Sanislow, Katelin Da Cruz, May O. Gianoli, Elizabeth M. Reagan

Charles A. Sanislow, Ph.D.

In this chapter, the evolution of the avoidant personality disorder (AVPD) diagnosis, its current status, and future possibilities are reviewed. AVPD is a chronic and enduring condition involving a poor sense of self and anxiety in social situations, and it is marked by fears of rejection and a distant interpersonal stance. AVPD may be conceptualized at the severe end of a continuum of social anxiety. In the extreme, traits, mechanisms, and symptoms become integral to chronic dysfunction in personality and interpersonal style. While AVPD is a valid diagnostic construct, the optimal organization of AVPD criteria for the diagnosis, and the …

Long Term Predictive Validity Of Diagnostic Models For Personality Disorder: Integrating Trait And Disorder Concepts, Leslie C. Morey, Christopher J. Hopwood, John C. Markowitz, John G. Gunderson, Carlos M. Grilo, Thomas H. Mcglashan, M. Tracie Shea, Shirley Yen, Charles A. Sanislow, Andrew E. Skodol

Charles A. Sanislow, Ph.D.

Background. Several conceptual models have been considered for the assessment of personality pathology in DSM-5. This study sought to extend our previous findings to compare the long-term predictive validity of three such models: the Five-Factor Model (FFM), the Schedule for Nonadaptive and Adaptive Personality (SNAP), and DSM-IV personality disorders (PDs).

Method. An inception cohort from the Collaborative Longitudinal Personality Disorder Study (CLPS) was followed for 10 years. Baseline data were used to predict long-term outcomes, including functioning, Axis I psychopathology, and medication use.

Results. Each model was significantly valid, predicting a host of important clinical outcomes. Lower-order elements of the …

General Recognition Theory Extended To Include Response Times: Predictions For A Class Of Parallel Systems, James T. Townsend, Joseph W. Houpt, Noah H. Silbert

Joseph W. Houpt

General Recognition Theory (GRT; Ashby & Townsend, 1986) is a multidimensional theory of classification. Originally developed to study various types of perceptual independence, it has also been widely employed in diverse cognitive venues, such as categorization. The initial theory and applications have been static, that is, lacking a time variable and focusing on patterns of responses, such as confusion matrices. Ashby proposed a parallel, dynamic stochastic version of GRT with application to perceptual independence based on discrete linear systems theory with imposed noise \citep{Ash89}. The current study again focuses on cognitive/perceptual independence within an identification classification paradigm. We extend stochastic …

Governance-Default Risk Relationship And The Demand For Intermediated And Non-Intermediated Debt, Safdar Khan

Safdar Khan

No abstract provided.

An Introduction To Item Response Theory For Health Behavior Researchers, Russell Warne

Russell T Warne

OBJECTIVE:

To introduce item response theory (IRT) to health behavior researchers by contrasting it with classical test theory and providing an example of IRT in health behavior.

METHOD:

Demonstrate IRT by fitting the 2PL model to substance-use survey data from the Adolescent Health Risk Behavior questionnaire (n=1343 adolescents).

RESULTS:

An IRT 2PL model can produce viable substance use scores that differentiate different levels of substance use, resulting in improved precision and specificity at the respondent level.

CONCLUSION:

IRT is a viable option for health researchers who want to produce high-quality scores for unidimensional constructs. The results from our example-although not …

Interpersonal Pathoplasticity In The Course Of Major Depression, Nicole M. Cain, Emily B. Ansell, Aidan G. C. Wright, Christopher J. Hopwood, Katherine M. Thomas, Anthony Pinto, John C. Markowitz, Charles A. Sanislow, Mary C. Zanarini, M. Tracie Shea, Leslie C. Morey, Thomas H. Mcglashan, Andrew E. Skodol, Carlos M. Grilo

Charles A. Sanislow, Ph.D.

Objective: The identification of reliable predictors of course in major depressive disorder (MDD) has been difficult. Evidence suggests that the co-occurrence of personality pathology is associated with longer time to MDD remission. Interpersonal pathoplasticity, the mutually influencing nonetiological relationship between psychopathology and interpersonal traits, offers an avenue for examining specific personality vulnerabilities that may be associated with depressive course. Method: This study examined 312 participants with and without a cooccurring personality disorder diagnosis who met criteria for a current MDD episode at baseline and who were followed for 10 years in the Collaborative Longitudinal Personality Disorders Study. Results: Latent profile …

Dynamic Problem Solving: A New Assessment Perspective, Samuel Greiff, Sascha Wüstenberg, Joachim Funke

Joachim Funke