DiscreteTests-package: Vectorised Computation of P-Values and Their Supports for...

In DiscreteTests: Vectorised Computation of P-Values and Their Supports for Several Discrete Statistical Tests

Vectorised Computation of P-Values and Their Supports for Several Discrete Statistical Tests

Description

This package provides vectorised functions for computing p-values of various discrete statistical tests. Exact and approximate computation methods are provided. For exact p-values, several procedures of determining two-sided p-values are included.

Additionally, these functions are capable of returning the discrete p-value supports, i.e. all observable p-values under a null hypothesis. These supports can be used for multiple testing procedures in the DiscreteFDR and FDX packages.

Author(s)

Maintainer: Florian Junge [e-mail] (ORCID)

Authors:

• Florian Junge [e-mail] (ORCID)

• Christina Kihn

Other contributors:

• Sebastian Döhler (ORCID) [contributor]

• Guillermo Durand (ORCID) [contributor]

References

Agresti, A. (2002). Categorical data analysis (2nd ed.). New York: John Wiley & Sons. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1002/0471249688")}

Blaker, H. (2000) Confidence curves and improved exact confidence intervals for discrete distributions. Canadian Journal of Statistics, 28(4), pp. 783-798. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.2307/3315916")}

Dixon, W. J. and Mood, A. M. (1946). The statistical sign test. Journal of the American Statistical Association, 41(236), pp. 557–566. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1080/01621459.1946.10501898")}

Fisher, R. A. (1935). The logic of inductive inference. Journal of the Royal Statistical Society Series A, 98, pp. 39–54. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.2307/2342435")}

Good, P. (2000). Permutation Tests: A Practical Guide to Resampling Methods for Testing Hypotheses. Second Edition. New York: Springer. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1007/978-1-4757-3235-1")}

Hirji, K. F. (2006). Exact analysis of discrete data. New York: Chapman and Hall/CRC. pp. 55-83. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1201/9781420036190")}

Hollander, M. & Wolfe, D. (1973). Nonparametric Statistical Methods. Third Edition. New York: Wiley. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1002/9781119196037")}

Mann, H. D. & Whitney, D. R. (1947). On a Test of Whether one of Two Random Variables is Stochastically Larger than the Other. Ann. Math. Statist., 18(1), pp. 50-60. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1214/aoms/1177730491")}

Pitman, E. J. G. (1937). Significance tests which may be applied to samples from any populations. Supplement to the Journal of the Royal Statistical Society, 4(1), pp. 119–130. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.2307/2984124")}

See Also

Useful links:

• https://github.com/DISOhda/DiscreteTests

• Report bugs at https://github.com/DISOhda/DiscreteTests/issues

DiscreteTests documentation built on Sept. 2, 2026, 9:06 a.m.