| MATHEMATICS (TURKISH, PHD) | |||||
| PhD | TR-NQF-HE: Level 8 | QF-EHEA: Third Cycle | EQF-LLL: Level 8 | ||
| Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
| EDE5124 | Introduction to Item Response Theory (IRT) | Fall | 3 | 0 | 3 | 8 |
| The course opens with the approval of the Department at the beginning of each semester |
| Language of instruction: | Tr |
| Type of course: | Departmental Elective |
| Course Level: | |
| Mode of Delivery: | Face to face |
| Course Coordinator : | Dr. Öğr. Üyesi NİHAL YURTSEVEN |
| Course Objectives: | IRT involves modeling subjects’ responses to individual items, in contrast to Classical Test Theory, which models test scores on complete test forms. IRT offers substantial advantages for many technical problems that arise in creating and using tests, including test design, test equating, assessment of item and test bias, and test scoring. IRT models have the advantage of invariance of person estimates to the collection or sample of items in a particular test, and the invariance of item parameter estimates to the sample of subjects used in test calibration. |
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The students who have succeeded in this course; A student who successfully completes this course will be familiar with various IRT models, and will be able to interpret and apply these models appropriately. |
| The course will begin with presentation of popular models, their estimation, and proper interpretation, and then continue reinforcing these lessons throughout the semester with examples and applications using educational test data. |
| Week | Subject | Related Preparation | |
| 1) | Basic IRT Concepts, Models, and Assumptions. | - | |
| 1) | Test score equating using IRT | - | |
| 1) | Basic IRT Concepts, Models, and Assumptions. | - | |
| 2) | Model Specifications and Scale Characteristics | - | |
| 3) | Ability and Item Parameter Estimation | - | |
| 4) | Item, Test Information Functions | - | |
| 5) | Assessment of Model-data Fit | - | |
| 6) | Test construction, item banking using IRT | - | |
| 7) | IRT Software: BILOGMG | - | |
| 8) | Visa | - | |
| 9) | Differential item functioning | - | |
| 10) | Polytomous response models 1 | - | |
| 11) | Polytomous response models 2 | - | |
| 12) | IRT Software: PARSCALE | - | |
| 13) | Computer-based test designs (CAT, MST) | - | |
| 13) | Computer-based test designs (CAT, MST) | - | |
| 14) | Other models: NRM, MIRT, HRM, TRT | - | |
| 15) | Presentations | - | |
| Course Notes: | Applied Psychological Measurement (Special Issue), Advances in item response theory and applications. Fall, 1982. (Includes eight papers.) Applied Psychological Measurement (Special Issue), Polytomous item response theory. Spring, 1995. (Includes seven papers.) |
| References: | Baker, F. B. (1992). Item response theory: Parameter estimation techniques. New York: Marcel Dekker. Bock, R. D., & Aitkin, M. (1981). Marginal maximum likelihood estimation of item parameters: Application of an EM algorithm. Psychometrika, 46, 443-459. Engelhard, G., Jr. (1994). Examining rate errors in the assessment of written composition with a manyfaceted Rasch model. Journal of Educational Measurement, 31, 93-112. Hambleton, R. K. & Swaminathan, H. (1985). Item response theory: Principles and applications. Boston: Kluwer Nijhoff Publishing. Holland, P. W., & Hoskens, M. (2003). Classical test theory as a first-order item response theory: Applications to true-score prediction from a possibly nonparallel test. Psychometrika, 68, 123-149. Holland, P. W., & Thayer, D. T. (1988). Differential item performance and the Mantel-Haenszel procedure. In H. Wainer & H. I Braun (Eds.), Test validity (pp. 129-145). Hillsdale, NJ: Erlbaum. Journal of Educational Measurement (Special Issue), Applications of latent trait models. Summer, 1977. (Includes six papers.) Junker, B. W., & Sijtsma, K. (2001). Nonparametric item response theory in action: An overview of the special issue. Applied Psychological Measurement, 25, 211-220. Linn, R. L. (1990). Has item response theory increased the validity of achievement test scores? Applied Measurement in Education, 3, 115-141. Livingston, S. A., & Lewis, C. (1995). Estimating the consistency and accuracy of classifications based on test scores. Journal of Educational Measurement, 32, 179-197. Lord, F. M. (1980). Applications of item response theory to practical testing problems. Hillsdale, NJ: Lawrence Erlbaum Associates. Lord, F. M., & Novick, M. R. (1968). Statistical theories of mental test scores. Reading, MA: Addison- Wesley. Mislevy, R. J. (1986a). Bayes modal estimation in item response models. Psychometrika, 51, 177-195. Mislevy, R. J. (1986b). Recent developments in the factor analysis of categorical variables. Journal of Educational Statistics, 11, 3-31. Muraki, E., & Carlson, J. E. (1995). Full-information factor analysis for polytomous item responses. Applied Psychological Measurement, 19, 73-90. Rasch, G. (1980). Probabilistic models for some intelligence and attainment tests. Chicago: University of Chicago Press. 5 Reckase, M. D. (1985). The difficulty of test items that measure more than one ability. Applied Psychological Measurement, 9, 401-412. Thissen, D., & Steinberg, L. (1986). A taxonomy of item response models. Psychometrika, 51, 567-577. Thissen, D., Steinberg, L, & Mooney, J. (1989). Trace lines for testlets: A use of multiple-categorical response models. Journal of Educational Measurement, 26, 247-260. Thissen, D., Steinberg, L, & Wainer, H. (1988). Use of Item Response Theory in the Study of Group Differences in Trace Lines. In H. Wainer & H. I Braun (Eds.), Test validity (pp. 147-169). Hillsdale, NJ: Erlbaum. van der Linden, W. J. & Hambleton, R. K. (Eds.) (1997). Handbook of modern item response theory. New York: Springer. Wright, B. D. (1977). Solving measurement problems with the Rasch model. Journal of Educational Measurement, 14, 97-116. |
| Semester Requirements | Number of Activities | Level of Contribution |
| Attendance | % 0 | |
| Laboratory | % 0 | |
| Application | % 0 | |
| Field Work | % 0 | |
| Special Course Internship (Work Placement) | % 0 | |
| Quizzes | % 0 | |
| Homework Assignments | 5 | % 15 |
| Presentation | 1 | % 15 |
| Project | % 0 | |
| Seminar | % 0 | |
| Midterms | 1 | % 30 |
| Preliminary Jury | % 0 | |
| Final | 1 | % 40 |
| Paper Submission | % 0 | |
| Jury | % 0 | |
| Bütünleme | % 0 | |
| Total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 60 | |
| PERCENTAGE OF FINAL WORK | % 40 | |
| Total | % 100 | |
| Activities | Number of Activities | Duration (Hours) | Workload |
| Course Hours | 14 | 3 | 42 |
| Laboratory | 0 | 0 | 0 |
| Application | 2 | 25 | 50 |
| Special Course Internship (Work Placement) | 0 | 0 | 0 |
| Field Work | 0 | 0 | 0 |
| Study Hours Out of Class | 14 | 5 | 70 |
| Presentations / Seminar | 1 | 5 | 5 |
| Project | 0 | 0 | 0 |
| Homework Assignments | 5 | 6 | 30 |
| Quizzes | 0 | 0 | 0 |
| Preliminary Jury | 0 | 0 | 0 |
| Midterms | 1 | 1 | 1 |
| Paper Submission | 0 | 0 | 0 |
| Jury | 0 | 0 | 0 |
| Final | 1 | 2 | 2 |
| Total Workload | 200 | ||
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution |