個人層次的測量模式適配度的統計考驗力－仿擬研究並以行動導向量表爲例

Statistical Power in the Detection of the Aberrant Response Patterns: A Simulation Study and Action Orientation Scale as an Example

林重岑(Chung-Tsen Lin)

《測驗學刊》 54卷2期 (2007/12) Pp. 451-468

https://doi.org/10.7108/PT.200712.0451

摘要

教育心理學的研究日益仰賴統計模型的技術以更深入地探究教育與心理測驗的資料，以及測量變項與內隱無法觀察變項間的關係。如果基本假定可以滿足的話，試題反應理論可以依據既有的參數，複製可觀察的樣本資料。此外，IRT模型允許在個體的層次上，以個人為單位進行適配度的分析。本文探討個人層次的測量模式適配度統計量，運用仿擬研究及真實資料（行動導向量表），說明影響其統計考驗力的可能因素，包括：異常反應組型的類型、題數、試題參數等。文末並討論這些結果的意涵、指出本研究的限制與對未來研究的建議。

關鍵字

個人適配度 ； 異常反應組型 ； 統計考驗力 ； 試題反應理論

並列摘要

Studies of educational psychology apply statistical modeling techniques to explore the test data, and to establish the relationships among the latent variables. The IRT model can reproduce data by the given parameters if the assumption is met. Besides, IRT as a model-based method can detect the individuals inadequately measured by a test. An introduction to person-fit statistics Z1 is provided. The purpose of this study was to find the factors, including types of aberrant response patterns, the number of items, and item parameters, which influence the null distribution of Z1. A simulation study and true data were conducted to investigate the Type I error and the detection rates of Z1. Finally, the results, limitations, and suggestion are discussed.

並列關鍵字

aberrant response patterns ； item response theory ； person fit ； statistical power

參考文獻

Birenbaum, M.(1986).Effect of dissimulation motivation and anxiety on response pattern appropriateness measures.Applied Psychological Measurement.10,167-174.

Drasgow, F.(1982).Choice of test model for appropriateness measurement.Applied Psycholgical Measurement.6,297-308.

Drasgow, F.,Levine, M.V.,McLaughlin, M.E.(1987).Detecting inappropriate test scores with optimal and practical appropriateness indices.Applied Psychological Measurement.11,59-79.

Drasgow, F.,Levine, M.V.,Williams, E.A.(1985).Appropriateness measurement with polychotomous item response models and standardized indices.British Journal of Mathematical and Statistical Psychology.38,67-86.

Du Toit, M.(Ed.)(2003).IRT from SSI: BILOG-MG, MULTILOG, PARSCALE, TESTFACT.Lincolnwood (IL):Scientific Software International.