Σεμινάριο: "Detection of two-way outliers in multivariate data and application to cheating detection in educational tests"

ΚΥΚΛΟΣ ΣΕΜΙΝΑΡΙΩΝ ΣΤΑΤΙΣΤΙΚΗΣ ΜΑΙΟΣ 2022

Ομιλήτρια: Irini Moustaki (Department of Statistics, London School of Economics & Political Science, UK)

Detection of two-way outliers in multivariate data and application to cheating detection in educational tests

ΠΕΡΙΛΗΨΗ:

In the talk we will discuss a latent variable model for the simultaneous (two-way) detection of outlying individuals and items for item-response-type data. The proposed model is a synergy between a factor model for binary responses and continuous response times that captures normal item response behaviour and a latent class model that captures the outlying individuals and items. Covariates are also added to enhance the classification power of the model. A statistical decision framework is developed under the proposed model that provides compound decision rules for controlling local false discovery/ nondiscovery rates of outlier detection. Statistical inference is carried out under a Bayesian framework for which a Markov chain Monte Carlo algorithm is developed. The proposed method is applied to the detection of cheating in educational tests, due to item leakage, using a case study of a computer-based nonadaptive licensure assessment. The performance of the proposed method is evaluated by simulation studies.

Co-authors: Yunxiao Chen and Yan Lu

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