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EQUIVNONINF (version 1.0.2)

Testing for Equivalence and Noninferiority

Description

Making available in R the complete set of programs accompanying S. Wellek's (2010) monograph ''Testing Statistical Hypotheses of Equivalence and Noninferiority. Second Edition'' (Chapman&Hall/CRC).

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install.packages('EQUIVNONINF')

Monthly Downloads

215

Version

1.0.2

License

CC0

Maintainer

Stefan Wellek

Last Published

July 12th, 2021

Functions in EQUIVNONINF (1.0.2)

EQUIVNONINF-package

Testing for equivalence and noninferiority

EQUIVNONINF-internal

Internal Equiv_Noninf Functions

Power of the exact Fisher type test for equivalence

Critical constants and power of the UMP test for equivalence of a single binomial proportion to some given reference value

Determination of a corrected nominal significance level for the asymptotic test for equivalence of two unrelated binomial proportions with respect to the difference \(\delta\) of their population counterparts

Objective Bayesian test for noninferiority in the two-sample setting with binary data and the odds ratio as the parameter of interest

Sample sizes for the exact Fisher type test for equivalence

Determination of a maximally raised nominal significance level for the nonrandomized version of the exact Fisher type test for equivalence

Exact rejection probability of the asymptotic test for equivalence of two unrelated binomial proportions with respect to the difference of their expectations at any nominal level under an arbitrary parameter configuration

Objective Bayesian test for noninferiority in the two-sample setting with binary data and the difference of the two proportions as the parameter of interest

Mid-p-value - based confidence bounds to the relative excess heterozygosity (REH) exhibited by a SNP genotype distribution

Sample sizes for the exact Fisher type test for relevant differences

Power of the exact Fisher type test for relevant differences

Sample sizes for the exact Fisher type test for noninferiority

Determination of a maximally raised nominal significance level for the nonrandomized version of the exact Fisher type test for noninferiority

Determination of a corrected nominal significance level for the asymptotic test for equivalence of two paired binomial proportions with respect to the difference of their expectations (McNemar setting)

Power of the exact Fisher type test for noninferiority

Critical constants of the exact UMPU test for absence of a substantial deficit of heterozygotes as compared with a HWE-compliant SNP genotype distribution [noninferiority version of the test implemented by means of gofhwex]

Critical constants for the exact Fisher type UMPU test for equivalence of two binomial distributions with respect to the odds ratio

Establishing approximate independence in a two-way contingency table: Test statistic and critical bound

Computation of the posterior probability of the alternative hypothesis of noninferiority in the McNemar setting, given a specific point in the sample space

Mann-Whitney test for equivalence of two continuous distributions of arbitrary shape: test statistic and critical upper bound

Critical constants and power against the null alternative of the UMP test for equivalence of the hazard rate of a single exponential distribution to some given reference value

Establishing goodness of fit of an observed to a fully specified multinomial distribution: test statistic and critical bound

Determination of a corrected nominal significance level for the asymptotic test for noninferiority in the McNemar setting

Signed rank test for equivalence of an arbitrary continuous distribution of the intraindividual differences in terms of the probability of a positive sign of a Walsh average: test statistic and critical upper bound

Bayesian posterior probability of the alternative hypothesis of probability-based individual bioequivalence (PBIBE)

Distribution-free two-sample equivalence test for tied data: test statistic and critical upper bound

Nonconditional power of the UMPU sign test for equivalence and its nonrandomized counterpart

Function to compute corrected nominal levels for the Wald type (asymptotic) test for one-sided equivalence of two binomial distributions with respect to the difference of success rates

Critical constants and power of the UMPI (uniformly most powerful invariant) test for dispersion equivalence of two Gaussian distributions

Bayesian test for noninferiority in the McNemar setting with the difference of proportions as the parameter of interest

Generalized signed rank test for equivalence for tied data: test statistic and critical upper bound

Exact confidence bounds to the relative excess heterozygosity (REH) exhibited by a SNP genotype distribution

Critical constants of the exact UMPU test for approximate compatibility of a SNP genotype distribution with the Hardy-Weinberg model

Exact rejection probability of the asymptotic test for equivalence of two paired binomial proportions with respect to the difference of their expectations (McNemar setting)

Critical constants and power against the null alternative of the one-sample t-test for equivalence with an arbitrary, maybe nonsymmetric choice of the limits of the equivalence range

Critical constants and power against the null alternative of the two-sample t-test for equivalence with an arbitrary, maybe nonsymmetric choice of the limits of the equivalence range

Analogue of mwtie_xy for settings with grouped data

Confidence innterval inclusion test for average bioequivalence: exact power against an arbitrary specific alternative

Bayesian posterior probability of the alternative hypothesis in the setting of the one-sample t-test for equivalence

Analogue of srktie_d for settings where the distribution of intraindividual differences is concentrated on a finite lattice