Analisis Koefisien Korelasi Tau Kendall

Qpfpiqpig Ele Zfrfmhprig

Bfb 4 ; Fefoiqiq Glhciqihe Glrhofqi 

Bfb 4 Fefoiqiq Glhciqihe Glrhofqi 2%

Fefoiqiq Glhciqihe Glrhofqi Pfx Ghe`foo

Fqxmqi-fqxmqi  F% @fpf yfed phrqh`if mhrxzfgfe qhbxfn qfmzho fafg yfed phr`iri fpfq e  zfqfedfe nfqio zhedfmfpfe .^  .^ i i  / Y i i)/ hepfn fedgf fpfx bxgfe fedgf% Mfqied-mfqied zfqfedfe nfqio   zhedfmfpfe `izhrlohn `fri `xf zhedxgxrfe yfed `iofgxgfe phrnf`fz xeip fqlqifqi yfed qfmf% B% @fpf qhgxrfed-gxrfedeyf `ixgxr `ixgxr zf`f qgfof lr`iefo/ qhnieddf `fzfp mhmhriedgfp mfqiedmfqied eiofi ^  `fofm nxbxedfeeyf `hedfe eiofi-eiofi ^  ofie yfed phrfmfpi/ `fe mfqiedmfqied eiofi Y `fofm Y `fofm nxbxedfeeyf `hedfe eiofi-eiofi Y  ofie yfed phrfmfpi% Nizlphqiq-nizlphqiq  F .@xf Qiqi) N: ; ^ `fe Y qfoied bhbfq% N6 ; π ≪ : B .Qfpx Qiqi) N: ; ^ `fe Y qfoied bhbfq% N6 ; π 5 : A .Qfpx Qiqi) N: ; ^ `fe Y qfoied bhbfq% N6 ; π ? : Pfrfc Eyfpf . ζ    )  ζ    Qpfpiqpig Xki  6% Qxqxeofn zfqfedfe-zfqfedfe .^  .^ i i  / Y i i ) `fofm glolm mhexrxp bhqfreyf eiofi-eiofi ^ / ^  / `fri eiofi ^ yfed zfoied ghaio/ `fofm nfo iei eiofi-eiofi ^  bhrf`f `fofm xrxpfe yfed tfkfr .efpxrfo  lr`hr)% 2% Zhrbfe`iedgfe qhpifz eiofi Y / qfpx `hmi qfpx/ `hedfe qhpifz eiofi yfed f`f `i qhbhofn bftfneyf% @fofm mhofgxgfe zhmbfe`iedfe iei `fzfp `igfpfgfe/ bfntf qxfpx zfqfedfe eiofieiofi Y  .Y  yfed `izhrbfe`iedgfe `fe Y  yfed `i bftfneyf) bhrf`f `fofm xrxpfe yfed tfkfr biof Y  yfed `i bftfn ohbin bhqfr `fri Y  yfed `i fpfqeyf% @fofm zf`f ipx/ `fzfp `igfpfgfe bfntf qxfpx zfqfedfe eiofi-eiofi Y  bhrf`f xrxpfe phrbfoig .rhshrqh efpxrfo lr`hr)  biof Y   yfed `i bftfn ohbin ghaio `fri Y yfed Y yfed `i fpfqeyf% 1% Phpfzgfe Z  qhbfdfi bfeyfgeyf zfqfedfe bhrxrxpfe tfkfr/ `fe V  qhbfdfi bfeyfgeyf zfqfedfe bhrxrxpfe phrbfoig% 0% Nipxed Q qhbfdfi .Q == Z ‑ Q qhbfdfi qhoiqin fepfrf Z `fe Z `fe V % .Q  Z ‑ V ) 8% Nipxed qpfpiqpig xki glhciqihe glrhofqi `hedf mheddxefgfe rxmxq ;

nfofmfe 30 

Qpfpiqpig Ele Zfrfmhprig

π

nipxed =

Bfb 4 ; Fefoiqiq Glhciqihe Glrhofqi 

Q e.e − 6) , 2

6>

Gfi`fn zhedfmbiofe ghzxpxqfe  Kigf qfmzho-qfmzho bhrxgxrfe 0 nieddf 0:/ `idxefgfe Pfbho 66% Nfrdf-nfrdf gripiq xepxg Qpfpiqpig Xki Pfx Ghe`foo  yfed mheyh`ifgfe eiofi-eiofi gripiq π+ pfbho% Xepxg F .@xf Qiqi) ; Plofgofn N : zf`f pfrfc eyfpf ζ  / kigf eiofi π nipxed ohbin bhqfr `frizf`f zlqipic eiofi π+ pfbho/ fpfx eiofi π nipxed ohbin ghaio `frizf`f ehdfpic eiofi π+ pfbho xepxg e `fe pfrfc eyfpf ζ  ,2% Xepxg B .Qfpx Qiqi) ; Plofgofn N : zf`f pfrfc eyfpf ζ  / kigf eiofi π nipxed ohbin bhqfr `frizf`f eiofi π+ pfbho xepxg e `fe pfrfc eyfpf ζ  % Xepxg A .Qfpx Qiqi) ; Plofgofn N : zf`f pfrfc eyfpf ζ  / kigf eiofi π nipxed ohbin ghaio `frizf`f ehdfpic eiofi π+ pfbho xepxg e `fe pfrfc eyfpf ζ  % Alepln 4%2 ; Arfsheq `fe Tll`rxcc mhedf`fgfe qhbxfn qpx`i xepxg mhrfeafed `fe mhedxki qxfpx mhpl`loldi xepxg mhehepxgfe qpfe`fr-qpfe`fr xepxg ghrkf zhekxfofe .qfohq . qfohq zhrclrmfeah ) qhafrf fefoipig% Xepxg ipx mhrhgf mhednimzxe `fpf phepfed bheanmfrg fanihshmhep  `fe mfefdhmhep rfpied  xepxg 28 gftfqfe zhekxfofe qhzhrpi pfmzfg `fofm Pfbho 4%8% Mhrhgf mhednipxed bheanmfrg fanihshmhep  `hedfe afrf mhmbfdi qfohq sloxmh  `hedfe bheanmfrg  qfohq  / `fe mfefdhmhep rfpied  `iphepxgfe bhr`fqfrgfe mlpisfqi `fe xqfnf yfed `ipxekxggfe lohn mfqied-mfqied phefdf zhekxfo% Pfbho 4%8% Zhriedgfpfe phrriplrixm bhr`fqfrgfe bheanmfrg fanihshmhep `fe mfefdhmhep rfpied  Bheanmfrg Mfefdhmhep  Phrriplrixm fanihshmhep .^) rfpied .Y)  6 2 0 2 9 4 1 4 2: 0 21 64 8 8 8 3 64 4 4 63 3 > 28 20 9 0 1 6: 6: 26 66 2: 6> 62 68 9 61 > > 60 66 6: 68 6 6 63 26 60 64 60 68 6> 1 66 69 61 61 2: 6> 69 26 22 28 22 69 63 21 20 21 20 3 22 28 62 62

nfofmfe 38 

Qpfpiqpig Ele Zfrfmhprig

Bfb 4 ; Fefoiqiq Glhciqihe Glrhofqi 

Qxmbhr ; @fsi` T% Arfsheq fe` Rlbhrp B% Tll`rxcc/”Fe Fzzrlfan clr @hphrmieied Ariphrif lc Qfohq Zhrclrmfeah”/ K% Fzzo% Zqyanlo%/ 84 .6941)/ 202-204

Fzfgfn `fri `fpf iei mhmbhrigfe bxgpi yfed axgxz xepxg mheyimzxogfe bfntf bheanmfrg  fanihshmhep `fe fanihshmhep `fe mfefdhmhep rfpied mhmioigi rfpied  mhmioigi zhrpfoife yfed oxrxq < Zheyhohqfife ; Nizlphqiq ;  N: ; Bheanmfrg fanihshmhep `fe fanihshmhep  `fe mfefdhmhep rfpied ie`hzhe`he rfpied  ie`hzhe`he N6 ; Bheanmfrg fanihshmhep `fe fanihshmhep  `fe mfefdhmhep rfpied mhmioigi rfpied  mhmioigi zhrpfoife oxrxq% Pfrfc Eyfpf ζ = :%:8 Qpfpiqpig Xki ;  Mxof-mxof qxqxe `fpf phrqhbxp qhzhrpi `fofm glolm zhrpfmf Pfbho 4%3/ qhnieddf xrxpfe-xrxpfe ^ mhmioigi ^ mhmioigi xrxpfe yfed tfkfr% Bfeyfgeyf zfqfedfe Y  yfed bhrxrxpfe tfkfr `fe yfed bhrxrxpfe phrbfoig phrnf`fz qhpifz eiofi Y  pfmzfg `fofm glolm gh`xf `fe glolm ghpidf Pfbho 4%3 Zheyxqxefe `fpf xepxg mhednipxed π `fofm alepln 4%2 Bfeyfgeyf Bfeyfgeyf  Xrxpfe-xrxpfe Zfqfedfe-zfqfedfm Y Zfqfedfe-Zfqfedfe Y  .^/Y) `fofm xrxpfe mfkx `fofm xrxpfe mxe`xr  .6 / 6) 20 : .2 / 0) 26 2 .1 / 66) 60 > .0 / 1) 2: 6 .8 / 8) 69 6 .3 / 22) 1 63 .4 / 2:) 0 60 .> / >) 60 1 .9 / 2) 63 : .6: / 26) 1 62 .66 / 6:) 66 1 .62 / 62) 6: 1 .61 / 61) 9 1 .60 / 68) 4 0 .68 / 9) > 2 .63 / 3) 9 : .64 / 4) > : .6> / 69) 1 0 .69 / 63) 8 6 .2: / 6>) 1 2 .26 / 60) 0 : .22 / 28) : 1 .21 / 64) 2 : .20 / 21) 6 : .28 / 20) : : --------------------Z = 26> V = >2

nfofmfe 33 

Qpfpiqpig Ele Zfrfmhprig

Bfb 4 ; Fefoiqiq Glhciqihe Glrhofqi 

Qhnieddf Q = Q = Z ‑ Z ‑ V  = 26> ‑ >2 = 613 @fe `izhrlohn qpfpiqpig xki xepxg Glhciqihe Glrhofqi Pfx-Ghe`foo ; π

nipxed

=

613 28.28 − 6) , 2

=

613 1::

=

:%08

Ghzxpxqfe  Bhr`fqfrgfe Pfbho 66% Nfrdf-nfrdf gripiq xepxg Qpfpiqpig Xki Pfx Ghe`foo/ `izhrlohn xepxg e = 28 `hedfe ζ = :%:8/ bfntf π+ pfbho = :%20:% Gfrhef π nipxed .= :%08) 5 π+ pfbho .= :%20:)/ mfgf N : `iplofg% Ghqimzxofe  F`f zhrpfoife oxrxq fepfrf Bheanmfrg fanihshmhep  `fe mfefdhmhep rfpied  `fofm zlzxofqi fqfo qfmzho/ zf`f pfrfc eyfpf ζ = :%:8% Fzrlqimfqi qfmzho bhqfr% Kigf qfmzho bhrxgxrfe ohbin bhqfr `fri 0:/ mfgf `iphrfzgfe fzrlgqimfqi qfmzho bhqfr `hedfe mhedfeddfz bfntf `iqpribxqi qfmzho mhe`hgfpi `iqpribxqi elrmfo .{) Pfbho 2 @iqpribxqi Elrmfo Qpfe`fr/ `hedfe mhednipxed phrohbin `fnxox { nipxed `hedfe rxmxq ;

{nipxed

=

1π e.e − 6) 2.2e ' 8)

69

Mfgf Gfi`fn Zhedfmbiofe Ghzxpxqfe xepxg Fefoiqiq Glhciqihe Glrhofqi Pfx Ghe`foo qhbfdfi bhrigxp ; Xepxg F .@xf Qiqi) ; Plofgofn N : zf`f pfrfc eyfpf ζ  / kigf eiofi { nipxed ohbin bhqfr `frizf`f zlqipic eiofi { pfbho/ fpfx eiofi { nipxed ohbin ghaio `frizf`f ehdfpic eiofi { pfbho zf`f pfrfc eyfpf :%8 - ζ  ,2% Xepxg B .Qfpx Qiqi) ; Plofgofn N : zf`f pfrfc eyfpf ζ  / kigf eiofi { nipxed ohbin bhqfr `frizf`f eiofi {pfbho zf`f pfrfc eyfpf :%8 - ζ   Xepxg A .Qfpx Qiqi) ; Plofgofn N : zf`f pfrfc eyfpf ζ  / kigf eiofi { nipxed ohbin ghaio `frizf`f ehdfpic eiofi { pfbho zf`f pfrfc eyfpf :%8 - ζ   Fedgf Qfmf% Fzfbiof phrkf`i fedgf yfed qfmf/ mfgf qpfpiqpig xki Pfx-Ghe`foo mhedfofmi glrhgqi% @fe `fzfp mhedigxpi zrlqh`xr qhbfdfi bhrigxp ; 6% Qxqxeofn nfqio-nfqio zhedfmfpfe `fofm xrxpfe yfed tfkfr .mheiedgfp)/ mhexrxp bhqfreyf eiofi-eiofi ^ % 2% Xepxg zfqfedfe-zfqfedfe `hedfe nfrdf ^  yfed qfmf/ eiofi-eiofi Y -eyfofn -eyfofn yfed `iqxqxe qhafrf mheiedgfp% 1% Nipxedofn bfeyfgeyf zfqfedfe Y  yfed bhrxrxpfe tfkfr `fe bfeyfgeyf zfqfedfe Y  yfed bhrxrxpfe phrbfoig/ qhzhrpi yfed `ikhofqgfe qhbhoxmeyf/ phpfzi kfedfe mhmzhrbfe`iedgfe eiofi-eiofi Y  yfed zfqfedfe eiofi ^ -eyf -eyf qfmf% 0% Nipxedofn qpfpiqpig xki Pfx-Ghe`foo `hedfe mheddxefgfe rxmxq ;

nfofmfe 34 

Qpfpiqpig Ele Zfrfmhprig

π

nipxed =

Bfb 4 ; Fefoiqiq Glhciqihe Glrhofqi 

Q 6 6 ^ Y 2 e.e − 6) − P  2 e.e − 6) − P 

2:

`hedfe

6 ∖ p^ .p^ − 6) 2 6 P Y = ∖ pY .pY − 6) 2 P ^

=

26

p^ = bfeyfgeyf eiofi ^  yfed qfmf xepxg qxfpx `fpf/ pY = bfeyfgeyf eiofi Y  yfed qfmf xepxg qxfpx `fpf% Alepln 4%1 ; Grizzehr mhofzlrgfe `fpf yfed pfmzfg `fofm Pfbho 4%4 phepfed 1: fefg .23 zrif `fe 0 tfeipf)  yfed mhedigxpi zhofkfrfe mhmbfaf pfmbfnfe yfed `iqhoheddfrfgfe lohn qxfpx zxqfp zhmhoipife fefg `i qhbxfn xeishrqipfq% @fpf phrqhbxp `igxmzxogfe `fofm rfedgf zheyhoi`igife xepxg mhehepxgfe yfed mfefgfn `fri bhbhrfzf sfrifbho yfed pfmzfgeyf bhrgfipfe `hedfe zheiedgfpfe ghmfmzxfe mhmbfaf bhrgfp qxfpx zrldrfm zhefedfefe gnxqxq% @fri `fpf phrqhbxp/ xkiofn nizlphqiq elo yfed mheyfpfgfe pi`fg f`feyf fqlqifqi fepfrf IV `fe zheiedgfpfe ghmfmzxfe mhmbfaf < Pfbho 4%4% @fpf phepfed 1: qxbkhg yfed mhe`fcpfrgfe `iri zf`f gxrqxq zheiedgfpfe ghmfmzxfe mhmbfaf `fofm oimf mieddx mxqim zfefq% TIQA IV cxoo Goihe Zheiedgfpfe .^ ) qafoh .Y ) Fosie :%3 >3 Bfrry :%2 6:4 Anhqphr 6%3 6:2 @iag :%8 6:0 Hfro :%9 6:0 Coly` :%8 >9 Drhdd :%> 6:9 Nfrry :%> 6:9 Isfe :%> 6:6 Kfalb :%0 93 Gfro 6%> 661 Ohtiq :%6 >8 Mfrsie :%9 6:: Eh` :%2 90 Lqafr 6%3 6:0 Zhphr 6%3 6:0 Vxieay :%: 9> Rfozn 6%3 668 Ripf :%2 6:9 Qimle :%1 90 Pley :%: 662 Xrifn 6%: 93 Siaplr 6%1 661 Tfo`l :%3 66: Tfophr :%3 94 Tfe`f :%8 6:4

nfofmfe 3> 

Qpfpiqpig Ele Zfrfmhprig

^fsihr Ylrg Ysleeh [lnrf

Bfb 4 ; Fefoiqiq Glhciqihe Glrhofqi 

6%4 6%3 2%2 6%8

661 6:9 9> 6:3

Qxmbhr ; Q% Grizzehr%/”Alrrhofphq Grizzehr%/”Alrrhofphq lc Rhf`ied Imzrlshmhep”/ K% @fsho% Rhf`ied/ 4 .6931)/ 29-19

Zheyhohqfife ; Nizlphqiq ;  N: ; Zheiedgfpfe ghmfmzxfe mhmbfaf `fe IV qfoied bhbfq% N6 ; F`f qxfpx zhrpfoife yfed hepfn oxrxq fpfx phrbfoig fepfrf zheiedgfpfe ghmfmzxfe mhmbfaf `fe IV . π ≪ :) Pfrfc Eyfpf ζ = :%:8 Qpfpiqpig Xki ;  Qhbhoxm mhednipxed π/ `iqxqxe `fpf phrohbin `fnxox qhzhrpi `fofm pfbho 4%> Pfbho 4%>% @fpf phepfed 1: qxbkhg yfed mhe`fcpfrgfe `iri zf`f gxrqxq zheiedgfpfe ghmfmzxfe mhmbfaf `fofm oimf mieddx mxqim zfefq% Bfeyfgeyf Bfeyfgeyf TIQA IV cxoo Zfqfedfe-zfqfedfe .Y ) Zfqfedfe-zfqfedfe . Y ) Zheiedgfpfe .^  .^ ) qafoh .Y ) `fofm xrxpfe mfkx `fofm xrxpfe mxe`xr :%: 9> 69 > :%: 662 0 20 :%6 >8 24 : :%2 90 26 2 :%2 6:4 > 68 :%2 6:9 8 63 :%1 90 26 2 :%0 93 69 2 :%8 >9 6> 6 :%8 6:0 9 4 :%8 6:4 > 66 :%3 >3 63 : :%3 94 68 6 :%3 66: 0 62 :%> 6:6 6: 1 :%> 6:9 0 > :%> 6:9 0 > :%9 6:: 9 2 :%9 6:0 3 1 6%: 93 6: : 6%1 661 6 3 6%8 6:3 0 0 6%3 6:2 2 6 6%3 6:0 2 6 6%3 6:0 2 6 6%3 6:9 2 6 6%3 668 : 1 6%4 661 : 6

nfofmfe 39 

Qpfpiqpig Ele Zfrfmhprig

6%> 2%2

Bfb 4 ; Fefoiqiq Glhciqihe Glrhofqi 

661 9>

: : -----------Z  = 28:

6 : ------------V  = 600

Qhofekxpeyf `inipxed ;

P ^

=

2.6) ' 1.2) ' 1.2) ' 1.2) ' 1.2) ' 2.6) ' 8.0) 2

P Y

=

2.6) ' 2.6) ' 2.6) ' 0.1) ' 2.6) ' 0.1) ' 1.2) 2

=

20

`fe =

69

Qhnieddf `izhrlohn ; π

nipxed

=

28: − 68: 1:.29) 1:.29) − 20 − 69 2 2

=

:%23

Ghzxpxqfe  Bhr`fqfrgfe Pfbho 66% Nfrdf-nfrdf gripiq xepxg Qpfpiqpig Xki Pfx Ghe`foo/ `izhrlohn xepxg e = 1: `fe ζ,2 = :%:28/ bfntf π+ pfbho = :%288% Gfrhef π nipxed .= :%23) 5 π+ pfbho .= :%288)/ mfgf N : `iplofg% Ghqimzxofe  F`f qxfpx zhrpfoife yfed hepfn oxrxq fpfx phrbfoig fepfrf zheiedgfpfe ghmfmzxfe mhmbfaf `fe IV/ zf`f pfrfc eyfpf ζ = :%:8%

nfofmfe 4: