Simplicity Above Elegance: Another Look at the Asymptotically Correct Standardization of Snijders
Abstract
Person-fit statistics are widely used to detect aberrant response patterns in educational and psychological measurement. Snijders (2001) suggested an asymptotically correct standardization for a broad class of such statistics. This paper presents an alternative derivation of this standardization. The derivation yields several advantages including a simpler formula and simpler description of several person-fit statistics including the lz* statistic (van Krimpen-Stoop & Meijer, 1999) and a theoretical explanation of simulation findings reported by Snijders (2001) and van Krimpen-Stoop and Meijer (1999), among others.
Keywords
Cite
@article{arxiv.2605.00216,
title = {Simplicity Above Elegance: Another Look at the Asymptotically Correct Standardization of Snijders},
author = {Sandip Sinharay},
journal= {arXiv preprint arXiv:2605.00216},
year = {2026}
}
Comments
34 pages, 5 figures. This version is the corrected version of the published article. Due to the correction, the content in pages 7-12 of this document differs substantially from that in the journal version