find_k_given_rho_target_mvtnorm
                        Find the difference between the error rate when
                        k and rho are both given and the prespecified
                        alpha level
find_k_target_mvtnorm   Find the difference between the error rate when
                        k is specified and rho is optimal and the
                        prespecified alpha level
find_rho_target_mvtnorm
                        Find the partial derivative of the error rate
                        with respect to the correlation coefficient rho
                        when k and rho are given
iHpTarget1              Find the difference between the achieved power
                        and the desired power for rejecting H1 using
                        the improved trimmed or truncated weighted
                        Hochberg procedure
iHpTarget1m             Find the difference between the achieved power
                        and the desired power for rejecting H1 using
                        the improved trimmed or truncated weighted
                        Hochberg procedure with allowance for different
                        data maturities
iHpTarget2              Find the difference between the achieved power
                        and the desired power for rejecting H2 using
                        the improved trimmed or truncated weighted
                        Hochberg procedure
iHpTarget2m             Find the difference between the achieved power
                        and the desired power for rejecting H2 using
                        the improved trimmed or truncated weighted
                        Hochberg procedure with allowance for different
                        data maturities
interpolate_zero        Calculate the x-coordinates of a function where
                        zero crossings occur
itwcHochPower           Power for rejecting H1 using various types of
                        the Hochberg Procedure
optk                    The two-step algorithm to calculate the best k
                        value for the improved trimmed Hochberg method
                        to ensure that the maximum type I error rate
                        reaches alpha exactly when rho is arbitrary
optrho                  Calculate the rho value that reaches the
                        maximum type I error rate in the improved
                        trimmed Hochberg method when k value is given
optsamplesize_iHp       Compute the optimal sample size for the
                        improved trimmed weighted Hochberg procedure
optsamplesize_iHpm      Compute the optimal sample size for the
                        improved trimmed weighted Hochberg procedure
                        with allowance for different data maturities
optsamplesize_tHp       Compute the optimal sample size for the
                        weighted trimmed or truncated Hochberg
                        procedure
optsamplesize_wHolmpm   Compute the optimal sample size for the
                        weighted Holm procedure with allowance for
                        different data maturities
optsamplesize_wHp       Compute the optimal sample size for the
                        weighted Hochberg procedure
tHpTarget1              Find the difference between the achieved power
                        and the desired power for rejecting H1 using
                        the weighted trimmed or truncated Hochberg
                        procedure
tHpTarget2              Find the difference between the achieved power
                        and the desired power for rejecting H2 using
                        the weighted trimmed or truncated Hochberg
                        procedure
typeIerror_Simes_mvtnorm
                        Calculate the type I error rate of the weighted
                        Simes test
typeIerror_trimSimes_mvtnorm
                        Calculate the type I error rate of the trimmed
                        weighted Simes test
wHolmTarget1            Find the difference between the achieved power
                        and the desired power for rejecting H1 using
                        the weighted Holm procedure
wHolmTarget1m           Find the difference between the achieved power
                        and the desired power for rejecting H1 using
                        the weighted Holm procedure with allowance for
                        different data maturities
wHolmTarget2            Find the difference between the achieved power
                        and the desired power for rejecting H2 using
                        the weighted Holm procedure
wHolmTarget2m           Find the difference between the achieved power
                        and the desired power for rejecting H2 using
                        the weighted Holm procedure with allowance for
                        different data maturities
wHpTarget1              Find the difference between the achieved power
                        and the desired power for rejecting H1 using
                        the weighted Hochberg procedure
wHpTarget2              Find the difference between the achieved power
                        and the desired power for rejecting H2 using
                        the weighted Hochberg procedure
