Exact Functional Test

EFTDP

EFTDQP

Perform the exact functional test on a contingency table to determine if the column variable is a function of the row variable. The null population includes tables with fixed row and column sums as in the observed table. The null distribution follows an exact multivariate hypergeometric distribution.

 nonparametric

 htest

Statistical hypothesis testing methods for
inferring model-free functional dependency using asymptotic
chi-squared or exact distributions. Functional test
statistics are asymmetric and functionally optimal, unique
from other related statistics. Tests in this package reveal
evidence for causality based on the causality-by-
functionality principle. They include asymptotic functional
chi-squared tests (Zhang & Song 2013) <doi:10.48550/arXiv.1311.2707>,
an adapted functional chi-squared test (Kumar & Song 2022)
<doi:10.1093/bioinformatics/btac206>,
and an exact functional test (Zhong & Song 2019)
<doi:10.1109/TCBB.2018.2809743> (Nguyen et al. 2020)
<doi:10.24963/ijcai.2020/372>. The normalized functional
chi-squared test was used by Best Performer 'NMSUSongLab'
in HPN-DREAM (DREAM8) Breast Cancer Network Inference
Challenges (Hill et al. 2016) <doi:10.1038/nmeth.3773>. A
function index (Zhong & Song 2019)
<doi:10.1186/s12920-019-0565-9> (Kumar et al. 2018)
<doi:10.1109/BIBM.2018.8621502> derived from the
functional test statistic offers a new effect size measure
for the strength of functional dependency, a better
alternative to conditional entropy in many aspects. For
continuous data, these tests offer an advantage over
regression analysis when a parametric functional form
cannot be assumed; for categorical data, they provide a
novel means to assess directional dependency not possible
with symmetrical Pearson's chi-squared or Fisher's exact
tests.

Joe Song

FunChisq

Model-Free Functional Chi-Squared and Exact Tests

Yang Zhang

Hua Zhong

Hien Nguyen

Ruby Sharma

Sajal Kumar

Yiyi Li

Exact Functional Test function

<dl> <dt>nm</dt>
<dd>
a matrix of nonnegative integers representing a contingency table.</dd></dl>

Arguments

Hien Nguyen, Hua Zhong, Yiyi Li, and Joe Song

Author


Exact Functional Test on Two Discrete Random Variables — Exact Functional Test

<dl>

 <dt>nm</dt>
<dd>
a matrix of nonnegative integers representing a contingency table.</dd>

</dl>

Exact Functional Test: Exact Functional Test on Two Discrete Random Variables

Description

Usage

Value

Arguments

Author

Details

References

See Also

Examples