A remark on statistics for detecting laboratory effects in ORDANOVA

12 Apr 2019  ·  Jun-ichi Takeshita, Yuto Arai, Mayu Ogawa, Xiao-Nan Lu, Tomomichi Suzuki ·

The present study defines a new statistic for detecting laboratory effects in the analysis of ordinal variation (ORDANOVA). The ORDANOVA is an analysis method similar to one-way analysis of variance for analysing ordinal data obtained from interlaboratory comparison studies. In this paper, we present an approximate continuous distribution for the new statistic for the case of an arbitrary number of ordinal levels, and we demonstrate that $alpha$-percentiles of the distribution are suitable criteria for conducting statistical tests. In addition, a real example involving data from an interlaboratory comparison study is analysed using the proposed statistic.

PDF Abstract
No code implementations yet. Submit your code now

Categories


Applications 62K99, 62P30, 62P99

Datasets


  Add Datasets introduced or used in this paper