OptimalGoldstandardDesigns
                        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
