PreprintCC BY 4.0arXiv
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.
Versions
Related
- A characterization of simplicity of reduced groupoid C*-algebras
- Simplicity of reduced crossed products
- Simplicity and pure infiniteness for C*-algebras associated with stabilizers of boundary actions
- A Direct Proof of the Simplicity of Non-Trivial Zeros of the Riemann Zeta Function
- Group-graded Ore extensions and graded simplicity
BibTeX
@misc{sinharay2026simplicity,
title = {{Simplicity Above Elegance: Another Look at the Asymptotically Correct Standardization of Snijders}},
author = {Sandip Sinharay},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2605.00216},
eprint = {2605.00216},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.00216},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Simplicity Above Elegance: Another Look at the Asymptotically Correct Standardization of Snijders
AU - Sandip Sinharay
PY - 2026
DA - 2026/10/14
PB - arXiv
DO - 10.48550/arxiv.2605.00216
UR - https://arxiv.org/abs/2605.00216
AB - 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.
ER -