'Too Many, Too Improbable' (TMTI) Test Procedures

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Documentation for package ‘TMTI’ version 1.0.1

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adjust_LocalTest Adjust all p-values using a Closed Testing Procedure and a user-defined local test which satisfies the quadratic shortcut given in Mogensen and Markussen (2021)
adjust_TMTI Adjust all p-values using a Closed Testing Procedeure and the TMTI family of tests.
CTP_LocalTest A Closed Testing Procedure for any local test satisfying the conditions of Mogensen and Markussen (2021) using an O(n^2) shortcut.
CTP_TMTI A Closed Testing Procedure for the TMTI using an O(n^2) shortcut
FullCTP_C Leading NA
FWER_set_C Leading NA
gamma_bootstrapper Function to bootstrap the Cumulative Distribution Functions (CDFs) of the TMTI statistics.
gamma_bootstrapper_Ttest Compute a list of TMTI CDFs for one- and two-sample test scenarios
kFWER_LocalTest kFWER_LocalTest. Computes the largest rejection set possible with kFWER control.
kFWER_set_C Leading NA
kFWER_TMTI kFWER_TMTI. Computes the largest rejection set possible with kFWER control.
localTest_CTP A Closed Testing Procedure for any local test satisfying the conditions of Mogensen and Markussen (2021) using an O(n^2) shortcut.
MakeY_C Leading NA
MakeZ_C Leading NA
MakeZ_C_nsmall Leading NA
rtTMTI_CDF Computes the analytical version of the rtMTI_infty CDF. When m>100, this should not be used.
TestSet_C Leading NA
TestSet_LocalTest Test a subset of hypotheses in its closure using a user-specified local test
TestSet_localTest Test a subset of hypotheses in its closure using a user-specified local test
TestSet_TMTI Test a subset of hypotheses in its closure using the TMTI
TMTI Computes the TMTI test for a joint hypothesis given input p-values.
TMTI_CDF Computes the analytical version of the TMTI_infty CDF. When m>100, this should not be used.
TMTI_CTP A Closed Testing Procedure for the TMTI using an O(n^2) shortcut
TopDown_C Leading NA
TopDown_C_binary Leading NA
TopDown_C_binary_subset Leading NA
TopDown_LocalTest TopDown LocalTest algorithm for estimating a 1-alpha confidence set for the number of false hypotheses among a set.
TopDown_localTest TopDown LocalTest algorithm for estimating a 1-alpha confidence set for the number of false hypotheses among a set.
TopDown_TMTI TopDown TMTI algorithm for estimating a 1-alpha confidence set for the number of false hypotheses among a set.
tTMTI_CDF Computes the analytical version of the tTMTI_infty CDF. When m>100, this should not be used.