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基于變量組合的變量重要性分析(viavc),用于光譜/高光譜的特征選擇算法

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%?Bonferroni-Holm?(1979)?correction?for?multiple?comparisons.??This?is?a
%?sequentially?rejective?version?of?the?simple?Bonferroni?correction?for?multiple
%?comparisons?and?strongly?controls?the?family-wise?error?rate?at?level?alpha.
%
%?It?works?as?follows:
%?1)?All?p-values?are?sorted?in?order?of?smallest?to?largest.?m?is?the
%????number?p-values.
%?2)?If?the?1st?p-value?is?greater?than?or?equal?to?alpha/m?the?procedure
%????is?stopped?and?no?p-values?are?significant.??Otherwise?go?on.
%?3)?The?1st?p-value?is?declared?significant?and?now?the?second?p-value?is
%????compared?to?alpha/(m-1).?If?the?2nd?p-value?is?greater?than?or?equal?
%????to?alpha/(m-1)?the?procedure?is?stopped?and?no?further?p-values?are?
%????significant.??Otherwise?go?on.?
%?4)?Et?cetera.
%
%?As?stated?by?Holm?(1979)?“Except?in?trivial?non-interesting?cases?the?
%?sequentially?rejective?Bonferroni?test?has?strictly?larger?probability?of
%?rejecting?false?hypotheses?and?thus?it?ought?to?replace?the?classical?
%?Bonferroni?test?at?all?instants?where?the?latter?usually?is?applied.“
%
%
%?function?[corrected_p?h]=bonf_holm(pvaluesalpha)
%
%?Required?Inputs:
%??pvalues?-?A?vector?or?matrix?of?p-values.?If?pvalues?is?a?matrix?it?can
%????????????be?of?any?dimensionality?(e.g.?2D?3D?etc...).
%
%?Optional?Input:
%??alpha???-?The?desired?family-wise?alpha?level?(i.e.?the?probability?of
%????????????rejecting?one?of?more?null?hypotheses?when?all?null?hypotheses?are
%????????????really?true).?{default:?0.05}
%
%?Output:
%??corrected_p??-?Bonferroni-Holm?adjusted?p-values.?Any?adjusted?p-values
%?????????????????less?than?alpha?are?significant?(i.e.?that?null?hypothesis?
%?????????????????is?rejected).??The?adjusted?value?of?the?smallest?p-value
%?????????????????is?p*m.??The?ith?smallest?adjusted?p-value?is?the?max?of
%?????????????????p(i)*(m-i+1)?or?adj_p(i-1).??Note?corrected?p-values?can
%?????????????????be?greater?than?1.
%??h????????????-?A?binary?vector?or?matrix?of?the?same?dimensionality?as
%?????????????????pvalues.??If?the?ith?element?of?h?is?1?then?the?ith?p-value
%?????????????????of?pvalues?is?significant.??If?the?ith?element?of?h?is?0?then
%?????????????????the?ith?p-value?of?pvalues?is?NOT?significant.
%
%?Example:
%?>>p=[.56?.22?.001?.04?.01];?%five?hypothetical?p-values
%?>>[cor_p?h]=bonf_holm(p.05)
%?cor_p?=
%????0.5600????0.4400????0.0050????0.1200????0.0400
%?h?=
%?????0?????0?????1?????0?????1
%?
%?Conclusion:?the?third?and?fifth?p-values?are?significant?but?not?the
%?remaining?three.
%
%?Reference:
%?Holm?S.?(1979)?A?simple?sequentially?rejective?multiple?test?procedure.
%?Scandinavian?Journal?of?Statistics.?6?65-70.
%
%
%?For?a?review?on?contemporary?techniques?for?correcting?for?multiple
%?comparisons?that?are?often?more?powerful?than?Bonferroni-Holm?see:
%
%???Groppe?D.M.?Urbach?T.P.?&?Kutas?M.?(2011)?Mass?univariate?analysis?
%?of?event-related?brain?potentials/fields?I:?

?屬性????????????大小?????日期????時間???名稱
-----------?---------??----------?-----??----
?????目錄???????????0??2015-04-11?10:51??Supplementary?Material?2?-?The?MATLAB?code?of?VIAVC\
?????目錄???????????0??2015-04-14?16:05??Supplementary?Material?2?-?The?MATLAB?code?of?VIAVC\VIAVC\
?????文件????????1691??2015-04-13?16:43??Supplementary?Material?2?-?The?MATLAB?code?of?VIAVC\VIAVC\Example?of?using?VIAVC?RC?VIP?and?SPA.m
?????文件????????3491??2015-04-12?22:50??Supplementary?Material?2?-?The?MATLAB?code?of?VIAVC\VIAVC\VIAVC.m
?????文件????????4441??2014-12-23?09:45??Supplementary?Material?2?-?The?MATLAB?code?of?VIAVC\VIAVC\bonf_holm.m
?????文件???????????0??2015-04-11?14:38??Supplementary?Material?2?-?The?MATLAB?code?of?VIAVC\VIAVC\error_SPA
?????文件?????????481??2014-12-19?20:05??Supplementary?Material?2?-?The?MATLAB?code?of?VIAVC\VIAVC\generate_binary_matrix.m
?????文件?????????403??2014-09-13?09:39??Supplementary?Material?2?-?The?MATLAB?code?of?VIAVC\VIAVC\get_matrix_result.m
?????文件?????????859??2015-04-12?22:49??Supplementary?Material?2?-?The?MATLAB?code?of?VIAVC\VIAVC\get_replace_result.m
?????文件?????????436??2011-04-27?10:23??Supplementary?Material?2?-?The?MATLAB?code?of?VIAVC\VIAVC\ldapinv.m
?????文件????????6856??2014-09-11?09:14??Supplementary?Material?2?-?The?MATLAB?code?of?VIAVC\VIAVC\obesity.mat
?????文件????????1802??2010-05-18?22:59??Supplementary?Material?2?-?The?MATLAB?code?of?VIAVC\VIAVC\pls_nipals.m
?????文件????????2072??2014-12-16?17:38??Supplementary?Material?2?-?The?MATLAB?code?of?VIAVC\VIAVC\plslda.m
?????文件????????2841??2013-03-18?21:00??Supplementary?Material?2?-?The?MATLAB?code?of?VIAVC\VIAVC\plsldacv.m
?????文件????????2144??2014-11-07?19:45??Supplementary?Material?2?-?The?MATLAB?code?of?VIAVC\VIAVC\plsldadcv.m
?????文件?????????575??2014-11-07?19:52??Supplementary?Material?2?-?The?MATLAB?code?of?VIAVC\VIAVC\plsldaval.m
?????文件????????1066??2014-04-08?20:26??Supplementary?Material?2?-?The?MATLAB?code?of?VIAVC\VIAVC\pretreat.m
?????文件?????????736??2014-11-07?19:40??Supplementary?Material?2?-?The?MATLAB?code?of?VIAVC\VIAVC\roccurve.m
?????文件?????????555??2010-02-08?10:49??Supplementary?Material?2?-?The?MATLAB?code?of?VIAVC\VIAVC\sesp.m
?????文件????????4638??2014-05-27?18:33??Supplementary?Material?2?-?The?MATLAB?code?of?VIAVC\VIAVC\spa.m
?????文件????????1063??2015-03-30?11:24??Supplementary?Material?2?-?The?MATLAB?code?of?VIAVC\VIAVC\sumsqr.m
?????文件?????????340??2010-09-27?22:11??Supplementary?Material?2?-?The?MATLAB?code?of?VIAVC\VIAVC\tp.m
?????文件?????????554??2009-11-05?11:05??Supplementary?Material?2?-?The?MATLAB?code?of?VIAVC\VIAVC\vipp.m

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