Bayesian analysis of item response theory and its applications to (1)

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Bayesian analysis of item response theory and its applications to (1)

UCŨNNLIBRARYDoctoral DissertationsUniversity of ConnecticutOpenCommons(

Bayesian analysis of item response theory and its applications to (1) m Response Theory and its Applications to Longitudinal Education DataABH1SEKSAHAUnnvríừya/Connecticut, abhiseksaha.Lsi(ỊỈ>gnuil.coniFollow this and ad

ditional works at: https://opencommons.uconn.edu/dissertationsRecommended CitationSAHA, ABHISEK, ‘Bayesian Analysis of hem Response Theory and Its App Bayesian analysis of item response theory and its applications to (1)

lications to Longitudinal Education Data' (2016).Doctoral Dissertations. 1220.https://opencommons.uconn.edu/dissertations/1220Bayesian Analysis of Ite

Bayesian analysis of item response theory and its applications to (1)

m Response Theory and its Applications to Longitudinal Education DataAbhisek Saha, Ph.D. University of Connecticut, 2016ABSTRACTInferences on ability

UCŨNNLIBRARYDoctoral DissertationsUniversity of ConnecticutOpenCommons(

Bayesian analysis of item response theory and its applications to (1) ly wit h the advent of computerized tests. Most of the IRT models may not apply to these mods! cm computerized tests as they still suffer from at leas

t one of the three problems, local independence, randomizer! item and individually varying test dates, due to the flexibility and complex designs of c Bayesian analysis of item response theory and its applications to (1)

omputerized (adaptive) tests. In Chapter 2, we propose a new class of state space models, namely dynamic item responses and response times models (DIR

Bayesian analysis of item response theory and its applications to (1)

.-RT models), which conjointly model response time with time series of dichotomous responses. It aims to improve the accuracy of ability estimation vi

UCŨNNLIBRARYDoctoral DissertationsUniversity of ConnecticutOpenCommons(

Bayesian analysis of item response theory and its applications to (1) , whereas an empirical study is conducted using MetaMet rics datasets to demonstrate its implications in practice. In Chapter 3, we haveinvestigated t

he difficulty in implementing the standard model diagnostic methods whileicomparing t wo popular response t ime models (i.e., monotone and inverted U- Bayesian analysis of item response theory and its applications to (1)

shape). A now variant of condit ional deviance informat ion criterion (DĨC) is proposed and some simulation studios are conducted to check its perform

Bayesian analysis of item response theory and its applications to (1)

ance. The results of model comparison support the inverted u shaped model, as discussed in Chapter 1, which can bettor capture examinees’ behaviors an

UCŨNNLIBRARYDoctoral DissertationsUniversity of ConnecticutOpenCommons(

Bayesian analysis of item response theory and its applications to (1) of irregularly spaced time-points though the inherent moan ability growth process is monotonic and smooth. Also the parametric assumption of ability p

rocess may not be always exact. To have more flexible yet smooth and monotonic estimates of ability we propose a semi-parametric dynamic item resj>ons Bayesian analysis of item response theory and its applications to (1)

e model and study the robustness of the proposed model. Finally, as every student's growth is different from others, it may be of importance to ident

Bayesian analysis of item response theory and its applications to (1)

ify groups of fast learners from slow learners. The growth curves are clustered into distinct groups based on learning rates. A spline derivative base

UCŨNNLIBRARYDoctoral DissertationsUniversity of ConnecticutOpenCommons(

Bayesian analysis of item response theory and its applications to (1) e Theory and its Applications to Longitudinal Education DataAbhisek SahaB. Stat., M. Stat., Statistics. Indian Statistical Institute. India, 2007M.S..

Statistics, University of Connecticut, CT. USA. 2015A DissertationSubmitted in Partial Fulfillment of the Requirements for the Degree of Doctor of Ph Bayesian analysis of item response theory and its applications to (1)

ilosophy at theUniversity of Connecticut2016Copyright byAbhisck Saha2016

UCŨNNLIBRARYDoctoral DissertationsUniversity of ConnecticutOpenCommons(