Evaluating Spatial Thinking Ability Using Item Response Theory: Differential Item Functioning Across Math Learning Disabilities and Geometry Instructions

2020 ◽  
pp. 073194872091241
Author(s):  
Sam Choo ◽  
Sunhi Park ◽  
Nancy J. Nelson

Science, Technology, Engineering, and Mathematics (STEM) education initiatives have placed pressure on teachers to bring technology tools into classroom, including three-dimensional (3D) printing. Yet, little research has examined what specific math skills are required for 3D printing technology. This article describes a follow-up analysis of findings from a quasi-experimental study that tested feasibility of 3D geometry instruction, Anchored Instruction with Technology Applications (AITA), designed to help students visualize and construct 3D models based on Enhanced Anchored Instruction. Although we found that AITA improved math outcomes of students with math learning disabilities (MLD) in the previous analysis, we only used composite scores encompassing a variety of math and spatial tasks. In this study, we employed item response theory and differential item functioning to examine the impacts of MLD on students’ spatial thinking skills, understand the types of items to assess the intended skills in a valid way, and provide a detailed information of whether student ability and MLD status have caused different results to assess students’ spatial thinking skills. Results showed that students with MLD struggle to learn spatial thinking skills, and AITA was a significant positive indicator to improve spatial thinking skills for both students with and without MLD.

2011 ◽  
Vol 35 (8) ◽  
pp. 604-622 ◽  
Author(s):  
Hirotaka Fukuhara ◽  
Akihito Kamata

A differential item functioning (DIF) detection method for testlet-based data was proposed and evaluated in this study. The proposed DIF model is an extension of a bifactor multidimensional item response theory (MIRT) model for testlets. Unlike traditional item response theory (IRT) DIF models, the proposed model takes testlet effects into account, thus estimating DIF magnitude appropriately when a test is composed of testlets. A fully Bayesian estimation method was adopted for parameter estimation. The recovery of parameters was evaluated for the proposed DIF model. Simulation results revealed that the proposed bifactor MIRT DIF model produced better estimates of DIF magnitude and higher DIF detection rates than the traditional IRT DIF model for all simulation conditions. A real data analysis was also conducted by applying the proposed DIF model to a statewide reading assessment data set.


2001 ◽  
Vol 27 (2) ◽  
Author(s):  
Pieter Schaap

The objective of this article is to present the results of an investigation into the item and test characteristics of two tests of the Potential Index Batteries (PIB) in terms of differential item functioning (DIP) and the effect thereof on test scores of different race groups. The English Vocabulary (Index 12) and Spelling Tests (Index 22) of the PIB were analysed for white, black and coloured South Africans. Item response theory (IRT) methods were used to identify items which function differentially for white, black and coloured race groups. Opsomming Die doel van hierdie artikel is om die resultate van n ondersoek na die item- en toetseienskappe van twee PIB (Potential Index Batteries) toetse in terme van itemsydigheid en die invloed wat dit op die toetstellings van rassegroepe het, weer te gee. Die Potential Index Batteries (PIB) se Engelse Woordeskat (Index 12) en Spellingtoetse (Index 22) is ten opsigte van blanke, swart en gekleurde Suid-Afrikaners ontleed. Itemresponsteorie (IRT) is gebruik om items te identifiseer wat as sydig (DIP) vir die onderskeie rassegroepe beskou kan word.


2009 ◽  
Vol 15 (5) ◽  
pp. 758-768 ◽  
Author(s):  
OTTO PEDRAZA ◽  
NEILL R. GRAFF-RADFORD ◽  
GLENN E. SMITH ◽  
ROBERT J. IVNIK ◽  
FLOYD B. WILLIS ◽  
...  

AbstractScores on the Boston Naming Test (BNT) are frequently lower for African American when compared with Caucasian adults. Although demographically based norms can mitigate the impact of this discrepancy on the likelihood of erroneous diagnostic impressions, a growing consensus suggests that group norms do not sufficiently address or advance our understanding of the underlying psychometric and sociocultural factors that lead to between-group score discrepancies. Using item response theory and methods to detect differential item functioning (DIF), the current investigation moves beyond comparisons of the summed total score to examine whether the conditional probability of responding correctly to individual BNT items differs between African American and Caucasian adults. Participants included 670 adults age 52 and older who took part in Mayo’s Older Americans and Older African Americans Normative Studies. Under a two-parameter logistic item response theory framework and after correction for the false discovery rate, 12 items where shown to demonstrate DIF. Of these 12 items, 6 (“dominoes,” “escalator,” “muzzle,” “latch,” “tripod,” and “palette”) were also identified in additional analyses using hierarchical logistic regression models and represent the strongest evidence for race/ethnicity-based DIF. These findings afford a finer characterization of the psychometric properties of the BNT and expand our understanding of between-group performance. (JINS, 2009, 15, 758–768.)


2014 ◽  
Vol 27 (7) ◽  
pp. 1099-1111 ◽  
Author(s):  
Anne E. Mueller ◽  
Daniel L. Segal ◽  
Brandon Gavett ◽  
Meghan A. Marty ◽  
Brian Yochim ◽  
...  

ABSTRACTBackground:The Geriatric Anxiety Scale (GAS; Segal et al. (Segal, D. L., June, A., Payne, M., Coolidge, F. L. and Yochim, B. (2010). Journal of Anxiety Disorders, 24, 709–714. doi:10.1016/j.janxdis.2010.05.002) is a self-report measure of anxiety that was designed to address unique issues associated with anxiety assessment in older adults. This study is the first to use item response theory (IRT) to examine the psychometric properties of a measure of anxiety in older adults.Method:A large sample of older adults (n = 581; mean age = 72.32 years, SD = 7.64 years, range = 60 to 96 years; 64% women; 88% European American) completed the GAS. IRT properties were examined. The presence of differential item functioning (DIF) or measurement bias by age and sex was assessed, and a ten-item short form of the GAS (called the GAS-10) was created.Results:All GAS items had discrimination parameters of 1.07 or greater. Items from the somatic subscale tended to have lower discrimination parameters than items on the cognitive or affective subscales. Two items were flagged for DIF, but the impact of the DIF was negligible. Women scored significantly higher than men on the GAS and its subscales. Participants in the young-old group (60 to 79 years old) scored significantly higher on the cognitive subscale than participants in the old-old group (80 years old and older).Conclusions:Results from the IRT analyses indicated that the GAS and GAS-10 have strong psychometric properties among older adults. We conclude by discussing implications and future research directions.


Author(s):  
Stella Eteng-Uket

The study investigated detecting differential item functioning using item response theory in West African Senior School Certificate English language test in south-south Nigeria. 2 research questions were formulated to guide the study. Using descriptive research survey design for the study, study population was 117845 Senior Secondary 3 students in Edo, Delta, Rivers and Bayelsa state. A sample of 1309 (604 males, 705 females) drawn through multi stage sampling technique was used for the study. Two valid instruments titled: Socio-economic status questionnaire (SSQ) and WASSCE/SSCE English language objective test (ELOT) were used to collect data for the study. The reliability indices of the instruments were estimated using the Cronbach Alpha method of internal consistency and Richard Kuderson 20 with coefficient values of .84 for the English Language objective test and .71 for the socio-economic status questionnaire respectively. Chi-square and Lord Wald test statistics statistical technique employed by Item Response Theory for Patient Reported Outcome (IRTPRO) was the technique used in data analysis which provided answers to the research questions at.05 level of significance. On analysis, the result revealed that 13 items functioned differently significant between the male and female group and significantly 23 items differentially functioned between High and low socio-economic status group. Thus, this shows 18% DIF based on gender and 32% based on socio-economic status indicating large DIF and items that are potentially biased. Based on the findings, recommendation were made and one among others was that Item Response theory should be used as DIF detection method by large scale public examination and test developers.


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