Measurement

2009 ◽  
Author(s):  
Simon Jackman
Keyword(s):  
Item Response ◽  
Latent Variables ◽  
Latent Variable ◽  
Convergent Validity ◽  
Measurement Model ◽  
Response Models ◽  
Item Response Models ◽  
Measurement Models ◽  
Dynamic Setting

This article shows that the words ‘behavioural’ and ‘behaviour’ turn out to be better measures as judged by tests of criterion and convergent validity. It specifically discusses measurement problems. Further, it pertains to statistical models that link latent variables and their observed indicators as measurement models. The success of measurement — the quality of the inferences provided by a measurement model — is usually assessed with reference to two key concepts: validity and reliability. The distinct uses of measures of latent variables are reported. The article then deals with the costs of ignoring measurement error. Additionally, a quick introduction to factor analysis, item-response models, and a very general class of latent variable models are briefly given. Moreover, it describes the inference for discrete latent variables and the measurement in a dynamic setting.

scholarly journals Estimating Parameters of Dichotomous and Ordinal Item Response Models with Gllamm

2007 ◽  
Vol 7 (3) ◽  
pp. 313-333 ◽  
Author(s):  
Xiaohui Zheng ◽  
Sophia Rabe-Hesketh
Keyword(s):  
Item Response ◽  
Latent Variable ◽  
Rating Scale ◽  
Ordinal Scale ◽  
Response Models ◽  
Item Response Models ◽  
Explanatory Variables ◽  
Test Items ◽  
Measurement Models ◽  
Latent Traits

Item response theory models are measurement models for categorical responses. Traditionally, the models are used in educational testing, where responses to test items can be viewed as indirect measures of latent ability. The test items are scored either dichotomously (correct–incorrect) or by using an ordinal scale (a grade from poor to excellent). Item response models also apply equally for measurement of other latent traits. Here we describe the one- and two-parameter logit models for dichotomous items, the partial-credit and rating scale models for ordinal items, and an extension of these models where the latent variable is regressed on explanatory variables. We show how these models can be expressed as generalized linear latent and mixed models and fitted by using the user-written command gllamm.

Stochastic Approximation Methods for Latent Regression Item Response Models

2010 ◽  
Vol 35 (2) ◽  
pp. 174-193 ◽  
Author(s):  
Matthias von Davier ◽  
Sandip Sinharay
Keyword(s):  
Item Response ◽  
Stochastic Approximation ◽  
Latent Variable ◽  
Reading Assessment ◽  
Mathematics Assessment ◽  
National Assessment ◽  
Variable Model ◽  
Response Models ◽  
Item Response Models ◽  
Latent Regression

This article presents an application of a stochastic approximation expectation maximization (EM) algorithm using a Metropolis-Hastings (MH) sampler to estimate the parameters of an item response latent regression model. Latent regression item response models are extensions of item response theory (IRT) to a latent variable model with covariates serving as predictors of the conditional distribution of ability. Applications to estimating latent regression models for National Assessment of Educational Progress (NAEP) data from the 2000 Grade 4 mathematics assessment and the Grade 8 reading assessment from 2002 are presented and results of the proposed method are compared to results obtained using current operational procedures.

Item response models for joint analysis of quality of life and survival

2001 ◽  
Vol 21 (1) ◽  
pp. 129-142 ◽  
Author(s):  
Chen Wang ◽  
Jeffrey Douglas ◽  
Susan Anderson
Keyword(s):  
Quality Of Life ◽  
Item Response ◽  
Joint Analysis ◽  
Response Models ◽  
Item Response Models

scholarly journals Estimation of Latent Variable Scores with Multiple Group Item Response Models: Implications for Integrative Data Analysis

2020 ◽  
Vol 27 (6) ◽  
pp. 931-941
Author(s):  
Pega Davoudzadeh ◽  
Kevin J. Grimm ◽  
Keith F. Widaman ◽  
Sarah L. Desmarais ◽  
Stephen Tueller ◽  
...  
Keyword(s):  
Data Analysis ◽  
Item Response ◽  
Latent Variable ◽  
Response Models ◽  
Integrative Data Analysis ◽  
Item Response Models ◽  
Multiple Group

scholarly journals Scale Alignment in the Between-Item Multidimensional Partial Credit Model

2021 ◽  
pp. 014662162110131
Author(s):  
Leah Feuerstahler ◽  
Mark Wilson
Keyword(s):  
Item Response ◽  
Kindergarten Readiness ◽  
Latent Trait ◽  
Individual Development ◽  
Partial Credit Model ◽  
Partial Credit ◽  
Response Models ◽  
Item Response Models ◽  
Item Parameters ◽  
Polytomous Item Response

In between-item multidimensional item response models, it is often desirable to compare individual latent trait estimates across dimensions. These comparisons are only justified if the model dimensions are scaled relative to each other. Traditionally, this scaling is done using approaches such as standardization—fixing the latent mean and standard deviation to 0 and 1 for all dimensions. However, approaches such as standardization do not guarantee that Rasch model properties hold across dimensions. Specifically, for between-item multidimensional Rasch family models, the unique ordering of items holds within dimensions, but not across dimensions. Previously, Feuerstahler and Wilson described the concept of scale alignment, which aims to enforce the unique ordering of items across dimensions by linearly transforming item parameters within dimensions. In this article, we extend the concept of scale alignment to the between-item multidimensional partial credit model and to models fit using incomplete data. We illustrate this method in the context of the Kindergarten Individual Development Survey (KIDS), a multidimensional survey of kindergarten readiness used in the state of Illinois. We also present simulation results that demonstrate the effectiveness of scale alignment in the context of polytomous item response models and missing data.

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