Design Parameter Optimization for Gold-Standard Non-Inferiority Trials

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Documentation for package ‘OptimalGoldstandardDesigns’ version 1.0.1

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OptimalGoldstandardDesigns-package OptimalGoldstandardDesigns
calc_ASN Helper function to calculate the average sample size
calc_ASNP Calculate the average placebo group sample size
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_Sigma Helper function to calculate the covariance matrix from the group variances, cumulative allocation ratios and gamma factors
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_mean Calculate the conditional mean of a multivariate normal distribution
conditional_Sigma 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
OptimalGoldstandardDesigns OptimalGoldstandardDesigns
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