Parameter recovery for a skew-normal IRT model under a Bayesian approach: hierarchical framework, prior and kernel sensitivity and sample size

Item response theory (IRT) comprises a set of statistical models which are useful in many fields, especially when there is an interest in studying latent variables (or latent traits). Usually such latent traits are assumed to be random variables and a convenient distribution is assigned to them. A very common choice for such a distribution has been the standard normal. Recently, Azevedo et al. [Bayesian inference for a skew-normal IRT model under the centred parameterization, Comput. Stat. Data Anal. 55 (2011), pp. 353-365] proposed a skew-normal distribution under the centred parameterization (SNCP) as had been studied in [R. B. Arellano-Valle and A. Azzalini, The centred parametrization for the multivariate skew-normal distribution, J. Multivariate Anal. 99(7) (2008), pp. 1362-1382], to model the latent trait distribution. This approach allows one to represent any asymmetric behaviour concerning the latent trait distribution. Also, they developed a Metropolis-Hastings within the Gibbs sampling (MHWGS) algorithm based on the density of the SNCP. They showed that the algorithm recovers all parameters properly. Their results indicated that, in the presence of asymmetry, the proposed model and the estimation algorithm perform better than the usual model and estimation methods. Our main goal in this paper is to propose another type of MHWGS algorithm based on a stochastic representation (hierarchical structure) of the SNCP studied in [N. Henze, A probabilistic representation of the skew-normal distribution, Scand. J. Statist. 13 (1986), pp. 271-275]. Our algorithm has only one Metropolis-Hastings step, in opposition to the algorithm developed by Azevedo et al., which has two such steps. This not only makes the implementation easier but also reduces the number of proposal densities to be used, which can be a problem in the implementation of MHWGS algorithms, as can be seen in [R.J. Patz and B.W. Junker, A straightforward approach to Markov Chain Monte Carlo methods for item response models, J. Educ. Behav. Stat. 24(2) (1999), pp. 146-178; R. J. Patz and B. W. Junker, The applications and extensions of MCMC in IRT: Multiple item types, missing data, and rated responses, J. Educ. Behav. Stat. 24(4) (1999), pp. 342-366; A. Gelman, G.O. Roberts, and W.R. Gilks, Efficient Metropolis jumping rules, Bayesian Stat. 5 (1996), pp. 599-607]. Moreover, we consider a modified beta prior (which generalizes the one considered in [3]) and a Jeffreys prior for the asymmetry parameter. Furthermore, we study the sensitivity of such priors as well as the use of different kernel densities for this parameter. Finally, we assess the impact of the number of examinees, number of items and the asymmetry level on the parameter recovery. Results of the simulation study indicated that our approach performed equally as well as that in [3], in terms of parameter recovery, mainly using the Jeffreys prior. Also, they indicated that the asymmetry level has the highest impact on parameter recovery, even though it is relatively small. A real data analysis is considered jointly with the development of model fitting assessment tools. The results are compared with the ones obtained by Azevedo et al. The results indicate that using the hierarchical approach allows us to implement MCMC algorithms more easily, it facilitates diagnosis of the convergence and also it can be very useful to fit more complex skew IRT models.

Prozessevaluation einer kognitiv-verhaltenstherapeutischen Gruppentherapie bei Diabetes und Depression : Entwicklung und Validierung der Patienten- und Therapeuten- Gruppentherapiestundenbögen (GTS-P, GTS-T, GTS-TP) zur Vorhersage des Therapieerfolgs

Untersucht werden Prozess-Ergebnis-Zusammenhänge einer kognitiv-verhaltenstherapeutischen Gruppentherapie für Diabetes und Depression im Rahmen der DAD-Studie. rnAufgrund des Mangels an geeigneten Erhebungsinstrumenten der validen, ökonomischen und komplementären Sitzungsbewertung von Gruppenpatienten und -therapeuten wurden angelehnt an einen Patienten- (GTS-P) zwei Therapeutenstundenbögen entwickelt: der GTS-T zur Bewertung der Gesamtgruppe und der GTS-TP zur Bewertung einzelner Patienten. Die GTS-Bögen zeigen bei der Überprüfung der Testgüte insgesamt gute Itemparameter und Reliabilitäten. Das in den exploratorischen Faktorenanaylsen des GTS-P identifizierte zweifaktorielle Modell (1. wahrgenommene Zuversicht hinsichtlich der Gruppentherapie, 2. wahrgenommene persönliche Beteiligung) kann in den konfirmatorischen Faktorenanalysen bestätigt werden. Dazu wurden GTS-P-Daten aus einer Untersuchung mit Patienten mit somatoformen Störungen (Schulte, 2001) einbezogen. Den Ergebnissen der Item- und Faktorenanalysen folgend, wurden zwei Items des GTS-P und zwei weitere Items des GTS-T aus den Instrumenten ausgeschlossen. Für den GTS-T zeigt sich eine einfaktorielle, für den GTS-TP eine zum GTS-P parallele zweifaktorielle Struktur. rnIn den Mehrebenenanalysen zur Vorhersage des Therapieergebnisses (Post-Depressionssymptomatik) zeigt sich die Skala Zuversicht des GTS-P zu Therapiebeginn (1.-4. Sitzung) kontrolliert an der Skala Beteiligung und der Prä-Symptomatik, als valider Prädiktor. Das Item 5 „Anregungen“ (Skala Zuversicht) und Item 2 „Aktive Mitwirkung“ (Skala Beteiligung) sind am stärksten an diesem Effekt beteiligt, da diese Itemkombination das Therapieergebnis ebenfalls valide vorhersagen kann. Die Prognose ist schon durch die Werte der ersten Gruppentherapiesitzungen in der Remoralisierungsphase (Howard et al., 1993) möglich und verbessert sich nicht bei Berücksichtigung aller 10 Gruppensitzungen. Die Therapeutenbögen zeigen keine prädiktive Validität. Bedeutsame Zusammenhänge der Patienten- und Therapeutenbewertungen finden sich lediglich für den GTS-P und GTS-TP. Weitere Prädiktoren, wie der Diabetestyp, Diabeteskomplikationen und die Adhärenz, konnten nicht zur Verbesserung der Vorhersage beitragen. Für sekundär überprüfte Kriterien gelang die Prognose lediglich für ein weiteres Maß der Depressionssymptomatik und für eine Gesamtbewertung der Gruppentherapie durch die Patienten zu Therapieende. Bei der deskriptiven Betrachtung der Prozessqualität der DAD-Gruppentherapien zeigen sich positive, über den Verlauf der Gruppe zunehmende und nach Therapiephasen differenzierbare Bewertungsverläufe. rnDie Ergebnisse der Studie sprechen für die Relevanz von unspezifischen Wirkfaktoren für das Therapieergebnis von kognitiv-behavioralen Gruppentherapien. Die von den Gruppenpatienten wahrgenommene Zuversicht und Beteiligung als Zeichen der Ansprechbarkeit auf die Therapie sollte mit Hilfe von Stundenbögen, wie den GTS-Bögen, von Gruppentherapeuten zur Prozessoptimierung und Prävention von Therapieabbrüchen und Misserfolgen beachtet werden. rn

Group Comparisons on Cognitive Attributes Using the Least Squares Distance Model of Cognitive Diagnosis

2010 Mathematics Subject Classification: 62P15.

Rasch analysis of the routines-based interview implementation checklist

The Routines-Based Interview (RBI) is useful for developing functional outcomes/goals, for establishing strong relationships with families, and for assessing the family’s true needs. In this study, the authors investigated the psychometric properties of the RBI Implementation Checklist, conducted by 120 early intervention professionals, specifically looking at the probability of correct responses on the items as a logistic function of the difference between the person and the item parameters.We selected Rasch analysis (Rasch, 1980) for this study so we could answer questions about both how themeasure performed and how the interviewers performed and we related these performances to one another. Results indicate that scores on the RBI Implementation Checklist were reliable. The checklist could possibly benefit from more difficult items to measure the true performance of the few people who had scores higher than the most difficult items and also from additional items that focus on the family.

Relación entre estrés y desórdenes músculo esqueléticos en trabajadores de una empresa de transporte terrestre de pasajeros, Bogotá, 2015.

Introducción. Los conductores de transporte terrestre de pasajeros están expuestos a factores de riesgo inherentes a su labor, por lo que la intervención sobre estos factores es un aspecto relevante en las empresas de transporte público dado que dicha actividad afecta la calidad de vida de los mismos. Objetivo: Determinar la prevalencia de estrés en el lugar de trabajo y los factores de riesgo biomecánicos asociados en trabajadores de una empresa de transporte terrestre de pasajeros. Materiales y métodos: Estudio de corte transversal con datos secundarios procedentes de una población de 219 empleados, de los cuales 13 eran administrativos y 206 laboraban en la operación de una empresa de transporte terrestre de pasajeros. Las variables incluidas fueron socio demográficas, laborales, variables relacionadas con la medición de estrés y síntomas osteomusculares. El análisis estadístico incluyó medidas de tendencia central y dispersión y para identificar los factores asociados con el estrés se utilizaron pruebas de asociación Chi2 y prueba exacta de Fisher. Resultados: La edad promedio de los participantes fue de 43 años (DS 10 años), siendo en su mayoría trabajadores de sexo masculino (96,3%). Se presentaron síntomas y factores de riesgo biomecánicos en cuello y espalda en un 55.5%. Se encontró asociación significativa entre estrés con los síntomas en pies (p=0,009), con los factores de riesgo biomecánicos, se encontró relación significativa con el tiempo que permanece adoptando las posturas de inclinación hacia delante (p=0,000) y hacia atrás (p=0,001) de espalda/tronco y las posturas en muñecas, (p=0,000), y a la exposición de los conductores a superficies vibrantes (asientos de vehículo) (p=0,021). No se encontró asociación significativa entre estrés y la postura de sedente. Conclusiones: Con este estudio se encontró una prevalencia de estrés de 78% en el lugar de trabajo y de los factores de riesgo biomecánicos asociados a antigüedad, postura y repetitividad de movimientos, con repercusiones en cuello y espalda lumbar, por lo tanto, se requiere de un seguimiento a las condiciones de salud y trabajo para los empleados del sector transporte.

ROC parameters in item and context recognition. 'Par??metros ROC en el reconocimiento de items y contextos'

Resumen tomado de la publicaci??n. Resumen tambi??n en ingl??s

Estimation of IRT Parameters over a Small Sample. Bootstrapping of the Item Responses

2000 Mathematics Subject Classification: 97C40.

Evaluation of a skin self examination attitude scale using an item response theory model approach

Introduction The Skin Self-Examination Attitude Scale (SSEAS) is a brief measure that allows for the assessment of attitudes in relation to skin self-examination. This study evaluated the psychometric properties of the SSEAS using Item Response Theory (IRT) methods in a large sample of men ≥ 50 years in Queensland, Australia. Methods A sample of 831 men (420 intervention and 411 control) completed a telephone assessment at the 13-month follow-up of a randomized-controlled trial of a video-based intervention to improve skin self-examination (SSE) behaviour. Descriptive statistics (mean, standard deviation, item–total correlations, and Cronbach’s alpha) were compiled and difficulty parameters were computed with Winsteps using the polytomous Rasch Rating Scale Model (RRSM). An item person (Wright) map of the SSEAS was examined for content coverage and item targeting. Results The SSEAS have good psychometric properties including good internal consistency (Cronbach’s alpha = 0.80), fit with the model and no evidence for differential item functioning (DIF) due to experimental trial grouping was detected. Conclusions The present study confirms the SSEA scale as a brief, useful and reliable tool for assessing attitudes towards skin self-examination in a population of men 50 years or older in Queensland, Australia. The 8-item scale shows unidimensionality, allowing levels of SSE attitude, and the item difficulties, to be ranked on a single continuous scale. In terms of clinical practice, it is very important to assess skin cancer self-examination attitude to identify people who may need a more extensive intervention to allow early detection of skin cancer.

Genetic Parameters for Staple Length and Staple Strength of Merino Wool Produced in Central and North West Queensland

Estimates of genetic parameters are presented for staple length and staple strength for 15 month old, medium Peppin sheep at Longreach and Julia Creek Queensland. The effects of birth type, sex and year of birth are shown. There were significant interactions for sex by site and for sex by year of birth. Heritability of staple length and strength were respectively 0.75 and 0.37 for the Longreach flock and 0.70 and 0.23 for the Julia Creek flock. The heritability of staple strength agrees with other published data however the estimate for staple length is very high. Phenotypic and genetic correlations with greasy fleece weight, yield, clean fleece weight, average fibre diameter and liveweight are in general agreement with other published estimates. Animal production for a consuming world : proceedings of 9th Congress of the Asian-Australasian Association of Animal Production Societies [AAAP] and 23rd Biennial Conference of the Australian Society of Animal Production [ASAP] and 17th Annual Symposium of the University of Sydney, Dairy Research Foundation, [DRF]. 2-7 July 2000 University of New South Wales, Sydney, Australia.

Genetic Parameters for Production Traits in Queensland Merinos

Genetic and phenotypic parameters are presented for production traits, greasy fleece weight (GFW), yield (YLD), clean fleece weight (CFW), average fibre diameter (DIAM) and liveweight (LWT), in 15 month old medium Peppin Merino sheep at Longreach and Julia Creek, Queensland. Heritabilities for GFW, YLD, CFW, DIAM and LWT were respectively 0.35, 0.62, 0.34, 0.74, and 0.37 for Longreach and 0.23, 0.52, 0.20, 0.67 and 0.56 for Julia Creek. Most estimates were consistent with other reported values. AAABG 13th Conference; Proceedings of the Association for the Advancement of Animal Breeding and Genetics.

Genetic Parameters for Physiological Characters in Merino Rams in Central and North West Queensland

Genetic and phenotypic parameters for respiration rate (RR) and rectal temperature (RT) are presented for weaner and hogget Merino rams, at Longreach and Julia Creek, Queensland. Heritability estimates for RT and RR at both sites and at both ages ranged from moderate to very high. Phenotypic and genetic correlations between these characters are also reported. AAABG 14th Conference; Proceedings of the Association for the Advancement of Animal Breeding and Genetics. AAABG