FunChisq: Model-Free Functional Chi-Squared and Exact Tests
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.
| Version: | 2.5.4 |
| Depends: | R (≥ 3.0.0) |
| Imports: | Rcpp,Rdpack (≥ 0.6-1), stats,dqrng |
| LinkingTo: | BH,Rcpp |
| Suggests: | Ckmeans.1d.dp,DescTools,DiffXTables,GridOnClusters,infotheo,knitr,rmarkdown,testthat (≥ 3.0.0) |
| Published: | 2024-05-10 |
| DOI: | 10.32614/CRAN.package.FunChisq |
| Author: | Yang Zhang [aut], Hua Zhong [aut], Hien Nguyen [aut], Ruby Sharma [aut], Sajal Kumar [aut], Yiyi Li [aut], Joe Song [aut, cre] |
| Maintainer: | Joe Song <joemsong at cs.nmsu.edu> |
| License: | LGPL (≥ 3) |
| URL: | https://www.cs.nmsu.edu/~joemsong/publications/ |
| NeedsCompilation: | yes |
| Citation: | FunChisq citation info |
| Materials: | README,NEWS |
| CRAN checks: | FunChisq results |
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