An item response tree model with not-all-distinct end nodes for non-response modelling

Yu Wei Chang*, Nan Jung Hsu, Rung Ching Tsai

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

摘要

The non-response model in Knott et al. (1991, Statistician, 40, 217) can be represented as a tree model with one branch for response/non-response and another branch for correct/incorrect response, and each branch probability is characterized by an item response theory model. In the model, it is assumed that there is only one source of non-responses. However, in questionnaires or educational tests, non-responses might come from different sources, such as test speededness, inability to answer, lack of motivation, and sensitive questions. To better accommodate such more realistic underlying mechanisms, we propose a a tree model with four end nodes, not all distinct, for non-response modelling. The Laplace-approximated maximum likelihood estimation for the proposed model is suggested. The validation of the proposed estimation procedure and the advantage of the proposed model over traditional methods are demonstrated in simulations. For illustration, the methodologies are applied to data from the 2012 Programme for International Student Assessment (PISA). The analysis shows that the proposed tree model has a better fit to PISA data than other existing models, providing a useful tool to distinguish the sources of non-responses.

原文英語
頁(從 - 到)487-512
頁數26
期刊British Journal of Mathematical and Statistical Psychology
74
發行號3
DOIs
出版狀態已發佈 - 2021 十一月
對外發佈

ASJC Scopus subject areas

  • 統計與概率
  • 藝術與人文(雜項)
  • 心理學(全部)

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