A rasch model for partial credit scoring

Masters, Geoff N

doi:10.1007/bf02296272

Cited by 2,925 publications

(2,239 citation statements)

References 18 publications

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“…Using a ij and b ij (or equivalently a Ã ij and b Ã ij ) to define the relationship between items and persons allows a general model to be written that includes most of the existing unidimensional Rasch models, such as the simple logistic model [9], the linear logistic test model [15], the rating scale model [8], the partial credit model [16], the partial order model [17], the facet model [18], and the linear partial credit model [19]. More importantly, the definitions allow the specification of a range of multidimensional models by imposing linear constraints on the item parameters, such as multidimensional forms of the simple logistic model, the rating scale model, the partial credit model (to be used in this study), and the linear partial credit model.…”

Section: Resultsmentioning

confidence: 99%

Validating, Improving Reliability, and Estimating Correlation of the Four Subscales in the WHOQOL-BREF using Multidimensional Rasch Analysis

et al. 2006

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Objective: This study examined the construct validity, and improved the test reliability and the estimation accuracy for the correlation between domains of the WHOQOL-BREF using multidimensional Rasch analysis. Method: A total of 13,083 adults were administered the 28-item WHOQOL-BREF Taiwan version, which consists of 4 subscales (domains). The multidimensional form of the partial credit model was used to examine the fit of the 4 subscales. For comparison, each subscale individually was also fitted to the unidimensional partial credit model. Standard item fit statistics and analysis of differential item functioning (DIF) were used to check model-data fit. Results: After excluding 2 overall items and deleting 7 DIF items, the remaining items of each subscale in the WHOQOL-BREF constituted a single construct. The test reliabilities and correlations between domains obtained from the multidimensional approach, (0.82-0.86) and (0.79-0.89), respectively, were much higher than those obtained from the unidimensional approach, (0.67-0.75) and (0.53-0.65), respectively. Conclusion: The 19-item WHOQOL-BREF measures more succinct latent traits than the original design. The multidimensional approach yields not only more accurate estimates for the correlation between domains but also substantially higher reliabilities, than the standard unidimensional approach.

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Section: Resultsmentioning

confidence: 99%

Validating, Improving Reliability, and Estimating Correlation of the Four Subscales in the WHOQOL-BREF using Multidimensional Rasch Analysis

et al. 2006

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“…Table 2 shows the groupings of the revised response formats for testing. Data from each of the revised response formats were then entered into both the Partial Credit and Rating Scale Rasch models, 34,35 and the resulting fit statistics (weighted mean squares) were analyzed. Fit statistics provide information on how much the residuals vary relative to their expected variance as calculated by the model.…”

Section: Data Analysesmentioning

confidence: 99%

Rasch Analyses of the Activities-specific Balance Confidence Scale With Individuals 50 Years and Older With Lower-Limb Amputations

Sakakibara

Miller

Backman

2011

Archives of Physical Medicine and Rehabilitation

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Objective-To explore shortened response formats for use with the Activities-specific Balance Confidence scale and then: 1) evaluate the unidimensionality of the scale; 2) evaluate the item difficulty; 3) evaluate the scale for redundancy and content gaps; and 4) evaluate the item standard error of measurement (SEM) and internal consistency reliability among aging individuals (≥50 years) with a lower-limb amputation living in the community.Design-Secondary analysis of cross-sectional survey and chart review data.Setting-Out-patient amputee clinics, Ontario, Canada.Participants-Four hundred forty eight community living adults, at least 50 years old (mean = 68 years), who have used a prosthesis for at least 6 months for a major unilateral lower limb amputation. Three hundred twenty five (72.5%) were men. Intervention-N/aMain Outcome Measure(s)-Activities-specific Balance Confidence Scale.Results-A 5-option response format outperformed 4-and 6-option formats. Factor analyses confirmed a unidimensional scale. The distance between response options is not the same for all items on the scale, evident by the Partial Credit Model (PCM) having a better fit to the data than the Rating Scale Model. Two items, however, did not fit the PCM within statistical reason. Revising the wording of the two items may resolve the misfit, and improve the construct validity Corresponding author: Dr. William C Miller, Department of Occupational Science and Occupational Therapy, University of British Columbia, T325-2211 Wesbrook Mall, Vancouver, BC V6T 2B5, Tel work: 604-714-4108, Fax: 604-714-4168, bcmiller@telus.net. We certify that no party having a direct interest in the results of the research supporting this article has or will confer a benefit on us or on any organization with which we are associated AND, if applicable, we certify that all financial and material support for this research (eg, NIH or NHS grants) and work are clearly identified in the title page of the manuscript.The manuscript submitted does not contain information about medical device(s). CIHR Author Manuscript CIHR Author Manuscript CIHR Author Manuscriptand lower the SEM. Overall, the difficulty of the scale's items is appropriate for use with aging individuals with lower-limb amputation, and is most reliable (Cronbach ∝ = 0.94) for use with individuals with moderately low balance confidence levels.Conclusions-The ABC-scale with a simplified 5-option response format is a valid and reliable measure of balance confidence for use with individuals aging with a lower limb amputation. KeywordsAging; amputation; self-efficacy; rehabilitation; psychometrics; postural balanceFalling and the consequences of falling are important health issues for older individuals with a lower limb amputation. In Canada, the prevalence of falling among community dwelling individuals with a lower-limb amputation is reported to be as high as 52%. 1 Further, the annual incidence of falling among older adults (≥65 years) living in the community is commonly reported to be around 30% to ...

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“…Other polytomous extensions of the 2PL model include the partial credit model [7] and the generalized partial credit model [8]. The formula for a GRM trace line is (2) which states that the probability of responding in category j is the difference between a 2PL trace line for the probability of responding in category j or higher and a 2PL trace line for the probability of responding in category j+1 or higher.…”

Section: Introductionmentioning

confidence: 99%

Item response theory detected differential item functioning between healthy and ill children in quality-of-life measures

Langer

Hill

Thissen

et al. 2008

Journal of Clinical Epidemiology

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Objective-To demonstrate the value of item response theory (IRT) and differential item functioning (DIF) methods in examining a health-related quality of life (HRQOL) measure in children and adolescents.Study Design and Setting-This illustration uses data from 5,429 children using the four subscales of the PedsQL™ 4.0 Generic Core Scales. The IRT model-based likelihood ratio test was used to detect and evaluate DIF between healthy children and children with a chronic condition.Results-DIF was detected for a majority of items but cancelled out at the total test score level due to opposing directions of DIF. Post-hoc analysis indicated that this pattern of results may be due to multidimensionality. We discuss issues in detecting and handling DIF.Conclusion-This paper describes how to perform DIF analyses in validating a questionnaire to ensure that scores have equivalent meaning across subgroups. It offers insight into ways information gained through the analysis can be used to evaluate an existing scale. Publisher's Disclaimer: This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final citable form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. NIH Public Access What is new?• Differential item functioning (DIF) can be detected and is important in health-related quality of life (HRQOL) scale development and for different populations.• Implications of ignoring DIF in scales are reviewed.

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A rasch model for partial credit scoring

Abstract: latent trait, Rasch model, ordered categories, partial credit,

Cited by 2,925 publications

References 18 publications

Validating, Improving Reliability, and Estimating Correlation of the Four Subscales in the WHOQOL-BREF using Multidimensional Rasch Analysis

Validating, Improving Reliability, and Estimating Correlation of the Four Subscales in the WHOQOL-BREF using Multidimensional Rasch Analysis

Rasch Analyses of the Activities-specific Balance Confidence Scale With Individuals 50 Years and Older With Lower-Limb Amputations

Item response theory detected differential item functioning between healthy and ill children in quality-of-life measures

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