Tables of Quantiles of the Distribution of the Empirical Chiral Index in the Case of the Uniform Law and in the Case of the Normal Law

TL;DR

This paper provides simulated quantile tables of the empirical chiral index for uniform and normal distributions, aiding symmetry testing with specific quantile values for different sample sizes.

Contribution

It introduces tabulated quantiles of the empirical chiral index for uniform and normal laws, facilitating symmetry testing in statistical analysis.

Findings

Quantile tables for the empirical chiral index are provided for various sample sizes.

The tables include quantiles at 0.90, 0.95, 0.98, and 0.99 levels.

Results assist in hypothesis testing for symmetry in distributions.

Abstract

The empirical distribution of the chiral index is simulated for various sample sizes for the uniform law and and for the normal law. The estimated quantiles $K_{0.90}$, $K_{0.95}$, $K_{0.98}$, and $K_{0.99}$, are tabulated for use in symmetry testing in the uniform case and in the normal case.