[Feature Request]: Fisher-Freeman-Halton Exact Test

[TarandeepKang]

Description

An extension of the Fisher's exact test for tables larger than 2 x 2

Purpose

Analysis of larger tables than currently possible

Use-case

Contingency tables larger than 2 x 2

Is your feature request related to a problem?

The current Fishers exact test is only suitable for 2 x 2 tables as opposed to arbitrarily large tables

Is your feature request related to a JASP module?

Frequencies

Describe the solution you would like

Implement the Fisher-Freeman-Halton Exact Test

Describe alternatives that you have considered

No response

Additional context

Fagerland, M., Lydersen, S., & Laake, P. (2017). Statistical Analysis of Contingency Tables (1st edition). Chapman and Hall/CRC. Page 286

necessary function to accompany the book https://search.r-project.org/CRAN/refmans/contingencytables/html/FisherFreemanHalton_asymptotic_test_rxc.html

Freeman, G.H., & Halton, T.R. (1951). Note on exact treatment of contingency, goodness-of-fit and other problems of significance. Biometrika, 38, 141-149.

Available in SPSS: https://www.ibm.com/support/pages/fisher-exact-test-rxc-table-fisher-freeman-halton-test

[TarandeepKang]

@tomtomme or @FBartos, a further suggestion for when you eventually get around to this. If indeed you already use this function it occurs to me that just enabling

simulate.p.value = TRUE

in

fisher.test

might, in fact, be a better option as it makes use of

Mehta, C. R., & Patel, N. R. (1983). A Network Algorithm for Performing Fisher’s Exact Test in r × c Contingency Tables. Journal of the American Statistical Association, 78(382), 427–434. https://doi.org/10.1080/01621459.1983.10477989

Cyrus R. Mehta and Nitin R. Patel. 1986. ALGORITHM 643: FEXACT: a FORTRAN subroutine for Fisher's exact test on unordered r×c contingency tables. ACM Trans. Math. Softw. 12, 2 (June 1986), 154–161. https://doi.org/10.1145/6497.214326

Clarkson, D. B., Fan, Y. and Joe, H. (1993) A Remark on Algorithm 643: FEXACT: An Algorithm for Performing Fisher's Exact Test in r x c Contingency Tables. ACM Trans Math. Softw, 19, 484–488