Testing for Equivalence and Noninferiority

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Documentation for package ‘EQUIVNONINF’ version 1.0.2

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EQUIVNONINF-package Testing for equivalence and noninferiority
bi1st Critical constants and power of the UMP test for equivalence of a single binomial proportion to some given reference value
bi2aeq1 Power of the exact Fisher type test for equivalence
bi2aeq2 Sample sizes for the exact Fisher type test for equivalence
bi2aeq3 Determination of a maximally raised nominal significance level for the nonrandomized version of the exact Fisher type test for equivalence
bi2by_ni_del 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
bi2by_ni_OR Objective Bayesian test for noninferiority in the two-sample setting with binary data and the odds ratio as the parameter of interest
bi2diffac 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
bi2dipow 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
bi2rlv1 Power of the exact Fisher type test for relevant differences
bi2rlv2 Sample sizes for the exact Fisher type test for relevant differences
bi2st Critical constants for the exact Fisher type UMPU test for equivalence of two binomial distributions with respect to the odds ratio
bi2ste1 Power of the exact Fisher type test for noninferiority
bi2ste2 Sample sizes for the exact Fisher type test for noninferiority
bi2ste3 Determination of a maximally raised nominal significance level for the nonrandomized version of the exact Fisher type test for noninferiority
bi2wld_ni_del 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
cf_reh_exact Exact confidence bounds to the relative excess heterozygosity (REH) exhibited by a SNP genotype distribution
cf_reh_midp Mid-p-value - based confidence bounds to the relative excess heterozygosity (REH) exhibited by a SNP genotype distribution
EQUIVNONINF Testing for equivalence and noninferiority
exp1st 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
fstretch Critical constants and power of the UMPI (uniformly most powerful invariant) test for dispersion equivalence of two Gaussian distributions
gofhwex Critical constants of the exact UMPU test for approximate compatibility of a SNP genotype distribution with the Hardy-Weinberg model
gofhwex_1s 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]
gofind_t Establishing approximate independence in a two-way contingency table: Test statistic and critical bound
gofsimpt Establishing goodness of fit of an observed to a fully specified multinomial distribution: test statistic and critical bound
mawi Mann-Whitney test for equivalence of two continuous distributions of arbitrary shape: test statistic and critical upper bound
mcnasc_ni Determination of a corrected nominal significance level for the asymptotic test for noninferiority in the McNemar setting
mcnby_ni Bayesian test for noninferiority in the McNemar setting with the difference of proportions as the parameter of interest
mcnby_ni_pp Computation of the posterior probability of the alternative hypothesis of noninferiority in the McNemar setting, given a specific point in the sample space
mcnemasc 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)
mcnempow Exact rejection probability of the asymptotic test for equivalence of two paired binomial proportions with respect to the difference of their expectations (McNemar setting)
mwtie_fr Analogue of mwtie_xy for settings with grouped data
mwtie_xy Distribution-free two-sample equivalence test for tied data: test statistic and critical upper bound
postmys Bayesian posterior probability of the alternative hypothesis in the setting of the one-sample t-test for equivalence
powsign Nonconditional power of the UMPU sign test for equivalence and its nonrandomized counterpart
pow_abe Confidence innterval inclusion test for average bioequivalence: exact power against an arbitrary specific alternative
po_pbibe Bayesian posterior probability of the alternative hypothesis of probability-based individual bioequivalence (PBIBE)
sgnrk 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
srktie_d Generalized signed rank test for equivalence for tied data: test statistic and critical upper bound
srktie_m Analogue of srktie_d for settings where the distribution of intraindividual differences is concentrated on a finite lattice
tt1st 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
tt2st 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