Efficiency of the Mantel, Generalized Mantel–Haenszel, and Logistic Discriminant Function Analysis Methods in Detecting Differential Item Functioning for Polytomous Items

AbstractThe ratios of hydrogen Balmer emission line intensities in cataclysmic variables are signatures of the physical processes that produce them. To quantify those signatures relative to classifications of cataclysmic variable types, we applied the multivariate statistical analysis methods of principal components analysis and discriminant function analysis to the spectroscopic emission data set of Williams (1983). The two analysis methods reveal two different sources of variation in the ratios of the emission lines. The source of variation seen in the principal components analysis was shown to be correlated with the binary orbital period. The source of variation seen in the discriminant function analysis was shown to be correlated with the equivalent width of the Hβ line. Comparison of the data scatterplot with scatterplots of theoretical models shows that Balmer line emission from T CrB systems is consistent with the photoionization of a surrounding nebula. Otherwise, models that we considered do not reproduce the wide range of Balmer decrements, including ‘inverted’ decrements, seen in the data.

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The Applicability of Item Response Theory Based Statistics to Detect Differential Item Functioning in Polytomous Tests

Randwick International of Education and Linguistics Science Journal ◽

10.47175/rielsj.v1i1.23 ◽

2020 ◽

Vol 1 (1) ◽

pp. 1-13

Author(s):

Abdul Wahab Ibrahim

Keyword(s):

Item Response Theory ◽

Differential Item Functioning ◽

Item Response ◽

Undergraduate Students ◽

Function Analysis ◽

Response Theory ◽

Test Items ◽

Item Functioning ◽

Logistic Discriminant Function ◽

High Degree

The study used statistical procedures based on Item Response Theory to detect Differential Item Functioning (DIF) in polytomous tests. These were with a view to improving the quality of test items construction. The sample consisted of an intact class of 513 Part 3 undergraduate students who registered for the course EDU 304: Tests and Measurement at Sule Lamido University during 2017/2018 Second Semester. A self-developed polytomous research instrument was used to collect data. Data collected were analysed using Generalized Mantel Haenszel, Simultaneous Item Bias Test, and Logistic Discriminant Function Analysis. The results showed that there was no significant relationship between the proportions of test items that function differentially in the polytomous test when the different statistical methods are used. Further, the three parametric and non-parametric methods complement each other in their ability to detect DIF in the polytomous test format as all of them have capacity to detect DIF but perform differently. The study concluded that there was a high degree of correspondence between the three procedures in their ability to detect DIF in polytomous tests. It was recommended that test experts and developers should consider using procedure based on Item Response Theory in DIF detection.

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Logistic Discriminant Function Analysis for DIF Identification of Polytomously Scored Items

Journal of Educational Measurement ◽

10.1111/j.1745-3984.1993.tb01069.x ◽

1993 ◽

Vol 30 (2) ◽

pp. 107-122 ◽

Cited By ~ 70

Author(s):

Timothy R. Miller ◽

Judith A. Spray

Keyword(s):

Discriminant Function ◽

Discriminant Function Analysis ◽

Function Analysis ◽

Logistic Discriminant Function

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The relationship between masculine financial identity, workgroup aggression normalization, and incivility perpetration: A discriminant function analysis

PsycEXTRA Dataset ◽

10.1037/e572992012-352 ◽

2010 ◽

Author(s):

T. Bauerle ◽

V. J. Magley

Keyword(s):

Discriminant Function ◽

Discriminant Function Analysis ◽

Function Analysis ◽

The Relationship ◽

Financial Identity

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Diagnoses Generated by Numerical Taxonomic Methods Applied to Standard Blood Variables

Methods of Information in Medicine ◽

10.1055/s-0038-1635282 ◽

1980 ◽

Vol 19 (04) ◽

pp. 205-209

Author(s):

L. A. Abbott ◽

J. B. Mitton

Keyword(s):

Liver Cirrhosis ◽

Renal Disease ◽

Principal Components Analysis ◽

Discriminant Function ◽

Principal Components ◽

Discriminant Function Analysis ◽

Chronic Renal Disease ◽

Function Analysis ◽

Infectious Hepatitis ◽

Components Analysis

Data taken from the blood of 262 patients diagnosed for malabsorption, elective cholecystectomy, acute cholecystitis, infectious hepatitis, liver cirrhosis, or chronic renal disease were analyzed with three numerical taxonomy (NT) methods : cluster analysis, principal components analysis, and discriminant function analysis. Principal components analysis revealed discrete clusters of patients suffering from chronic renal disease, liver cirrhosis, and infectious hepatitis, which could be displayed by NT clustering as well as by plotting, but other disease groups were poorly defined. Sharper resolution of the same disease groups was attained by discriminant function analysis.

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Description of Echolocation Call Parameters for Urban Bats in Vietnam as a Step Towards a More Integrated Acoustic Monitoring of Urban Wildlife in Southeast Asia

Diversity ◽

10.3390/d13010018 ◽

2021 ◽

Vol 13 (1) ◽

pp. 18

Author(s):

Long Kim Pham ◽

Bang Van Tran ◽

Quy Tan Le ◽

Trung Thanh Nguyen ◽

Christian C. Voigt

Keyword(s):

Discriminant Function ◽

Discriminant Function Analysis ◽

Function Analysis ◽

Quantitative Description ◽

Southeast Asian ◽

Asian Countries ◽

Echolocation Call ◽

Echolocation Calls ◽

Pilot Work ◽

Southeast Asian Countries

This study is the first step towards more systematic monitoring of urban bat fauna in Vietnam and other Southeast Asian countries by collecting bat echolocation call parameters in Ho Chi Minh and Tra Vinh cities. We captured urban bats and then recorded echolocation calls after releasing in a tent. Additional bat’s echolocation calls from the free-flying bats were recorded at the site where we captured bat. We used the obtained echolocation call parameters for a discriminant function analysis to test the accuracy of classifying these species based on their echolocation call parameters. Data from this pilot work revealed a low level of diversity for the studied bat assemblages. Additionally, the discriminant function analysis successfully classified bats to four bat species with an accuracy of >87.4%. On average, species assignments were correct for all calls from Taphozous melanopogon (100% success rate), for 70% of calls from Pipistrellus javanicus, for 80.8% of calls from Myotis hasseltii and 67.3% of calls from Scotophilus kuhlii. Our study comprises the first quantitative description of echolocation call parameters for urban bats of Vietnam. The success in classifying urban bats based on their echolocation call parameters provides a promising baseline for monitoring the effect of urbanization on bat assemblages in Vietnam and potentially also other Southeast Asian countries.

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