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OptimalGoldstandardDesigns
OptimalGoldstandardDesigns-package
OptimalGoldstandardDesigns
calc_ASN()
Helper function to calculate the average sample size
calc_ASNP()
Calculate the average placebo group sample size
calc_Sigma()
Helper function to calculate the covariance matrix from the group variances, cumulative allocation ratios
and gamma factors
calc_c()
Helper function to calculate allocation ratios from stagewise sample sizes
calc_conditional_local_rejection_probs()
Calculate the (local) conditional type I errors of both hypothesis given both interim test statistics.
calc_conditional_power()
Calculate the conditional power to reject both hypothesis given both interim test statistics.
calc_cumc()
Helper function to calculate "cumulative allocation ratio" from stagewise allocation ratios
calc_cumn()
Helper function to calculate cumulative sample sizes from stagewise sample sizes
calc_final_state_probs()
Helper function to calculate the final state probabilities
calc_gamma()
Helper function to calculate gamma factors from group variances and cumulative allocation ratios
calc_local_alphas()
Helper function to calculate the local type I error rates of a Design
calc_local_rejection_boundaries()
Helper function to calculate the local rejection boundaries of group sequential testing
procedure associated with the hypothesis belong to the groups argument
calc_mu_vec()
Helper function to calculate expected value of normal test statistic vector c(Z_TP1, Z_TP2, Z_TC1, Z_TP2)
under the null and alternative hypothesis given nT1, gamma and mu.
calc_mu_wo_nT1()
Helper function to calculate expected value of normal test statistic vector c(Z_TP1, Z_TP2, Z_TC1, Z_TP2)
under the null and alternative hypothesis given nT1=1, gamma and mu.
calc_nT1_wrt_bTC2e()
Helper function to calculate the required sample size (of the stage 1 treatment group)
to achieve the target power given the bTC2e
calc_n_from_c()
Helper function to calculate other n's given n_1,T and allocation ratios
calc_prob_reject_both()
Helper function to calculate the probability to reject both hypotheses
given the mean of the normal test statistic vector c(Z_TP1, Z_TP2, Z_TC1, Z_TC2).
calc_prob_reject_both_singlestage()
Helper function to calculate the probability to reject both hypotheses
given the mean of the normal test statistic vector c(Z_TP1, Z_TC1).
calc_worst_type_I_error()
Helper function to calculate the maximal probability of rejecting the non-inferiority hypothesis
in the testing procedure featuring nonsequential futility, given a point hypothesis for
the superiority hypothesis.
conditional_Sigma()
Calculate the conditional mean of a multivariate normal distribution
conditional_mean()
Calculate the conditional mean of a multivariate normal distribution
objective_onestage()
Objective function for single-stage gold-standard designs
objective_twostage()
Objective function for two-stage gold-standard designs
optimize_design_onestage()
Calculate optimal design parameters for a single-stage gold-standard design
optimize_design_twostage()
Calculate optimal design parameters for a two-stage gold-standard design
padd_whitespace()
Add whitespace padding to string
pmvnorm_()
mvtnorm::pmvnorm, but returns 0 if any lower boundary is larger than
any upper boundary
pmvt_()
mvtnorm::pmvt, but returns 0 if any lower boundary is larger than
any upper boundary
print(<OneStageGoldStandardDesign> )
Printing method for optimal single-stage goldstandard designs
print(<TwoStageGoldStandardDesign> )
Printing method for optimal two-stage goldstandard designs