Evaluation of Psychometric Properties of Tests Used in Educational Research
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| Title: | Evaluation of Psychometric Properties of Tests Used in Educational Research |
|---|---|
| Language: | English |
| Authors: | Satyendra Nath Chakrabartty (ORCID |
| Source: | International Journal of Psychology and Educational Studies. 2026 13(1):28-39. |
| Availability: | International Journal of Psychology and Educational Studies. Sakarya University, Faculty of Education, Department of Educational Sciences, Sakarya, Turkey. e-mail: ijpesjournal@gmail.com; Web site: https://ijpes.com/index.php/ijpes/index |
| Peer Reviewed: | Y |
| Page Count: | 12 |
| Publication Date: | 2026 |
| Document Type: | Journal Articles Reports - Evaluative |
| Descriptors: | Evaluation Methods, Psychometrics, Multiple Choice Tests, Likert Scales, Test Validity, Test Reliability, Educational Research, Scoring Formulas, Error of Measurement, Test Theory |
| ISSN: | 2148-9378 |
| Abstract: | It is imperative to assess psychometric parameters of tests and items by methodologically sound approaches and finding relationships among the psychometric qualities. The paper describes methods of computations of psychometric parameters of MCQ test and items under classical test theory, finds relationships among theoretically defined test reliability with factorial validity (FV) and separately with discriminating and difficulty values of test and items considering the entire data. Finding r_(tt(theoretical)) from a single administration offers significant benefits like computation of test error variance; testingH_0: r_(tt(theoretical))=1; finding battery reliability, estimation of true scores and its confidence interval. Relationships of r_(tt(theoretical)) derived with FV of standardized scores ([left white lenticular bracket]FV[right white lenticular bracket]_(Z-scores)), test discriminating value ([left white lenticular bracket]Disc[right white lenticular bracket]_T), Cronbach alpha in terms of item discriminating value [left white lenticular bracket](Disc[right white lenticular bracket]_i) and [left white lenticular bracket]Disc[right white lenticular bracket]_T, Item reliability as function of [left white lenticular bracket]Diff[right white lenticular bracket]_i and [left white lenticular bracket]Disc[right white lenticular bracket]_T, alpha using PCA results ([alpha]_PCA) with [left white lenticular bracket]FV[right white lenticular bracket]_(Z-scores). The point of inflection of the negatively slopped reliability-discriminating value curve gives [left white lenticular bracket]Disc[right white lenticular bracket]_T for which test reliability is optimal; Common point of [left white lenticular bracket]Disc[right white lenticular bracket]_i and [left white lenticular bracket]Diff[right white lenticular bracket]_i curves could be used in item deletions to improve test reliability. |
| Abstractor: | As Provided |
| Entry Date: | 2026 |
| Accession Number: | EJ1496157 |
| Database: | ERIC |
| Abstract: | It is imperative to assess psychometric parameters of tests and items by methodologically sound approaches and finding relationships among the psychometric qualities. The paper describes methods of computations of psychometric parameters of MCQ test and items under classical test theory, finds relationships among theoretically defined test reliability with factorial validity (FV) and separately with discriminating and difficulty values of test and items considering the entire data. Finding r_(tt(theoretical)) from a single administration offers significant benefits like computation of test error variance; testingH_0: r_(tt(theoretical))=1; finding battery reliability, estimation of true scores and its confidence interval. Relationships of r_(tt(theoretical)) derived with FV of standardized scores ([left white lenticular bracket]FV[right white lenticular bracket]_(Z-scores)), test discriminating value ([left white lenticular bracket]Disc[right white lenticular bracket]_T), Cronbach alpha in terms of item discriminating value [left white lenticular bracket](Disc[right white lenticular bracket]_i) and [left white lenticular bracket]Disc[right white lenticular bracket]_T, Item reliability as function of [left white lenticular bracket]Diff[right white lenticular bracket]_i and [left white lenticular bracket]Disc[right white lenticular bracket]_T, alpha using PCA results ([alpha]_PCA) with [left white lenticular bracket]FV[right white lenticular bracket]_(Z-scores). The point of inflection of the negatively slopped reliability-discriminating value curve gives [left white lenticular bracket]Disc[right white lenticular bracket]_T for which test reliability is optimal; Common point of [left white lenticular bracket]Disc[right white lenticular bracket]_i and [left white lenticular bracket]Diff[right white lenticular bracket]_i curves could be used in item deletions to improve test reliability. |
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| ISSN: | 2148-9378 |
