Statistical hypothesis testing methods for
non-parametric functional dependencies using asymptotic
chi-square or exact distributions. Functional chi-squares 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-square tests, an exact functional
test, a comparative functional chi-square test, and also a
comparative chi-square test. The normalized non-constant
functional chi-square test was used by Best Performer
NMSUSongLab in HPN-DREAM (DREAM8) Breast Cancer Network
Inference Challenges. 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 dependencies not possible with
symmetrical Pearson's chi-square or Fisher's exact tests.

Chi-Square and Exact Tests for Model-Free Functional Dependency
Yang Zhang [aut],
Hua Zhong [aut],
Ruby Sharma [aut],
Sajal Kumar [aut],
Joe Song [aut, cre]
Statistical hypothesis testing methods for
model-free functional dependency using asymptotic
chi-square or exact distributions. Functional chi-squares 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-square tests, an exact functional
test, a comparative functional chi-square test, and also a
comparative chi-square test. The normalized non-constant
functional chi-square test was used by Best Performer
NMSUSongLab in HPN-DREAM (DREAM8) Breast Cancer Network
Inference Challenges. 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-square or Fisher's exact tests.