The purpose of the present study was twofold: (1) to determine the relationship between sample size and equating error produced by the Tucker and Rasch methods; and, (2) to compare the efficiency of the two methods when utilizing small sample sizes. The aim was to examine equating error at selected points on the raw score scale corresponding to the 20th, 40th, 60th, and 80th percentiles, as well as the average error over all examinees and all score points, using five sample sizes of 25, 50, 75, 100, and 500. / The results of the study indicated that the relationship between equating error and sample size was approximately linear and negative. The Rasch method generally produced slightly more error and bias than the Tucker method when using small sample sizes. For the data used in the study, the expected value of equating error for the Rasch method is reduced with higher selected scores, whereas for the Tucker method, it increases as the selected scores deviate from the average score. The minimum number of examinees for equating with the two methods as well as further investigations were suggested. / Source: Dissertation Abstracts International, Volume: 47-12, Section: A, page: 4369. / Thesis (Ph.D.)--The Florida State University, 1986.
| Identifer | oai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_75996 |
| Contributors | YOTINPRASERT, SAWEK., Florida State University |
| Source Sets | Florida State University |
| Detected Language | English |
| Type | Text |
| Format | 90 p. |
| Rights | On campus use only. |
| Relation | Dissertation Abstracts International |
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