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A New Person‐Fit Statistic for the Lognormal Model for Response Times
Author(s) -
Sinharay Sandip
Publication year - 2018
Publication title -
journal of educational measurement
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.917
H-Index - 47
eISSN - 1745-3984
pISSN - 0022-0655
DOI - 10.1111/jedm.12188
Subject(s) - statistic , log normal distribution , statistics , null hypothesis , econometrics , test statistic , mathematics , statistical hypothesis testing , computer science
Response‐time models are of increasing interest in educational and psychological testing. This article focuses on the lognormal model for response times, which is one of the most popular response‐time models, and suggests a simple person‐fit statistic for the model. The distribution of the statistic under the null hypothesis of no misfit is proved to be a χ 2 distribution. A simulation study and a real data example demonstrate the usefulness of the suggested statistic.