Concordance coefficient: xam piv txwv thiab qauv. Dab tsi yog Concordance Coefficient?

Cov txheej txheem:

Concordance coefficient: xam piv txwv thiab qauv. Dab tsi yog Concordance Coefficient?
Concordance coefficient: xam piv txwv thiab qauv. Dab tsi yog Concordance Coefficient?
Anonim

Thaum cov neeg txheeb xyuas, piv txwv li, ntsuas qhov kev sib tw ntawm cov khoom, nws yog ib qho tsim nyog, xws li hauv ib qho kev tshawb fawb, ua cov ntaub ntawv txheeb xyuas. Qhov kawg pib nrog kev txiav txim siab qhov sib xws ntawm cov kws tshaj lij kev xav, cov lus qhia tus lej uas yog qhov sib txuam ua ke.

Vim li cas peb thiaj xav tau kev soj ntsuam kev pom zoo?

Qhov kev ntsuas no yog qhov tsim nyog, ua ntej ntawm tag nrho, vim tias cov kev xav ntawm cov kws tshaj lij tuaj yeem sib txawv heev ntawm qhov ntsuas qhov ntsuas. Thaum pib, qhov kev ntsuam xyuas yog ua los ntawm kev ntsuas cov ntsuas thiab muab lawv ib coefficient ntawm qhov tseem ceeb (qhov hnyav). Qhov kev sib tw tsis sib haum xeeb ua rau cov coefficients no tsis muaj kev ntseeg siab. Cov kev xav ntawm cov kws tshaj lij nrog lawv tus lej xav tau (ntau dua 7-10) yuav tsum tau muab faib raws li txoj cai ib txwm muaj.

Lub tswvyim ntawm coefficient ntawm concordance

Yog. Kev sib haum xeeb yog kev sib haum xeeb. Lub coefficient yog ib tug dimensionless kom muaj nuj nqis uas qhia qhov piv ntawm cov dispersion mus rau qhov siab tshaj plaws dispersion nyob rau hauv cov ntaub ntawv. Cia peb nthuav cov ntsiab lus no.

Concordance coefficient yog tus lej ntawm 0 txog 1, qhia qhov sib xws ntawm cov kws tshaj lij kev xav thaumqeb duas tej yam khoom. Qhov ze dua tus nqi no yog rau 0, qhov qis dua qhov sib xws yog txiav txim siab. Yog tias tus nqi ntawm cov coefficient no tsawg dua 0.3, cov kev xav ntawm cov kws tshaj lij raug suav tias tsis sib haum. Thaum tus nqi ntawm cov coefficient nyob rau hauv thaj tsam ntawm 0.3 txog 0.7, qhov sib xws yog suav tias yog qhov nruab nrab. Tus nqi ntau dua 0.7 yog suav tias yog siab sib xws.

qhov concordance factor yog
qhov concordance factor yog

Siv case

Thaum ua kev tshawb fawb txog kev txheeb cais, cov xwm txheej yuav tshwm sim nyob rau hauv uas ib yam khoom yuav tsis yog los ntawm ob ntu, uas yog ua tiav cov ntaub ntawv siv cov concordance coefficient, tab sis los ntawm ntau qhov sib lawv liag, uas yog raws li cov kws tshaj lij nrog qib tib. professionalism nyob rau hauv ib cheeb tsam.

Qhov sib xws ntawm cov qeb duas ua los ntawm cov kws tshaj lij yuav tsum tau txiav txim siab kom paub meej qhov tseeb ntawm qhov kev xav tias cov kws tshaj lij ua qhov ntsuas tau zoo, uas tso cai rau tsim ntau pawg hauv pawg kws tshaj lij, uas feem ntau txiav txim siab los ntawm tib neeg cov yam ntxwv, Feem ntau xws li qhov sib txawv ntawm kev pom, cov ntsiab lus, cov tsev kawm ntawv sib txawv, qhov xwm txheej ntawm kev ua haujlwm, thiab lwm yam.

Qhia piav qhia txog txoj hauv kev qeb duas. Nws qhov zoo thiab qhov tsis zoo

Thaum qeb duas, cov txheej txheem qeb duas yog siv. Nws lub ntsiab lus nyob rau hauv qhov tseeb tias txhua yam khoom ntawm cov khoom raug muab rau nws tus kheej qeb. Tsis tas li ntawd, txhua tus kws tshaj lij suav nrog hauv pawg kws tshaj lij, qib no tau raug xaivntawm nws tus kheej, ua rau yuav tsum tau ua cov ntaub ntawv no txhawm rau txheeb xyuas qhov sib xws ntawm cov kws tshaj lij kev xav. Cov txheej txheem no yog ua los ntawm kev suav cov coefficient ntawm concordance.

Qhov txiaj ntsig tseem ceeb ntawm txoj hauv kev qeb duas yog nws qhov yooj yim ntawm kev siv.

Qhov tsis zoo ntawm txoj kev yog:

  • ib qho me me ntawm cov khoom qeb, txij li thaum lawv tus lej siab dua 15-20, nws nyuaj rau muab cov hom phiaj qeb duas;
  • Raws li kev siv cov qauv no, cov lus nug ntawm qhov deb ntawm cov khoom kawm los ntawm ib leeg hauv qhov tseem ceeb tseem qhib.

Thaum siv txoj kev no, nws yuav tsum tau coj mus rau hauv tus account tias qhov kev ntaus nqi yog raws li qee yam ntawm cov qauv tsim nyog, yog li lawv yuav tsum tau siv nrog ceev faj, muab qhov ntsuas.

Kendall's Concordance Rank Coefficient

Siv los txiav txim siab txog kev sib raug zoo ntawm qhov ntau thiab cov yam ntxwv zoo uas ua rau cov khoom sib xws thiab qeb raws li tib txoj cai.

Qhov coefficient no yog txiav txim los ntawm tus qauv:

t=2S/(n(n-1)), where

S - qhov sib npaug ntawm qhov sib txawv ntawm tus lej ntawm cov kab ke thiab tus lej ntawm inversions ntawm qhov thib ob feature;

n - tus naj npawb ntawm kev soj ntsuam.

Kendall qhov sib piv
Kendall qhov sib piv

Calculation algorithm:

  • Tus x qhov tseem ceeb yog nyob rau hauv ascending or descending order.
  • Tus y-tus nqi tau teem rau hauv qhov kev txiav txim uas lawv sib haum rau x-tus nqi.
  • Rau txhua qib zuj zus ntawm y, txiav txim siab seb muaj pes tsawg qib siab dua qhov ua raws nws. Lawv raug muab ntxiv thiab kev ntsuas ntawm kev sib txuas lus ntawm cov qib hauv x thiab y yog xam.
  • Ib yam li ntawd, tus lej ntawm y nrog tus nqi qis yog suav, uas kuj ntxiv.
  • Ntxiv cov lej uas muaj tus nqi siab dua thiab tus lej ntawm qib nrog tus nqi qis dua, ua rau tus nqi S.

Cov coefficient no qhia txog kev sib raug zoo ntawm ob qhov sib txawv, thiab feem ntau hu ua Kendall rank correlation coefficient. Xws li kev vam khom tuaj yeem sawv cev duab.

Kev txiav txim siab coefficient

Nws ua li cas? Yog hais tias tus naj npawb ntawm cov yam ntxwv qeb duas los yog yam tseem ceeb tshaj 2, cov concordance coefficient yog siv, uas, nyob rau hauv lub ntsiab lus, yog ib tug ntau yam ntawm rank correlation.

Nyob zoo. Kev suav ntawm qhov sib txuam coefficient yog nyob ntawm qhov sib txawv ntawm qhov sib txawv ntawm qhov sib npaug ntawm cov squares ntawm qib los ntawm qhov nruab nrab ntawm cov lej ntawm cov lej, muab faib los ntawm 12, rau cov square ntawm cov kws tshaj lij, muab faib los ntawm qhov sib txawv ntawm lub voos xwmfab ntawm tus lej. ntawm cov khoom thiab tus naj npawb ntawm cov khoom.

Calculation algorithm

Yuav kom nkag siab qhov twg tus lej 12 los ntawm tus lej ntawm cov qauv kev suav, cia peb saib qhov kev txiav txim siab algorithm.

Rau txhua kab nrog cov qib ntawm ib tus kws tshaj lij, cov lej ntawm cov qib suav nrog, uas yog tus nqi random.

Cov coefficient feem ntau txhais tau tias yog qhov piv ntawm qhov sib txawv ntawm qhov kwv yees (D) mus rau qhov siab tshaj plaws ntawm qhov kev kwv yees sib txawv(Dmax). Cia peb ua tiav cov ntsiab lus ntawm cov khoom no.

xam qhov concordance factor
xam qhov concordance factor

qhov twg ravg - kwv yees kwv yees;

m - tus lej ntawm cov khoom.

Hloov cov qauv uas tshwm sim nyob rau hauv kev sib raug rau D rau D max peb tau txais cov qauv kawg rau kev sib txuam coefficient:

concordance coefficient formula
concordance coefficient formula
kev sib haum xeeb
kev sib haum xeeb

Ntawm no yog tus naj npawb ntawm cov kws tshaj lij, n yog tus lej ntawm cov khoom.

Thawj tus qauv yog siv los txiav txim siab qhov sib koom ua ke yog tias tsis muaj qhov cuam tshuam. Tus qauv thib ob yog siv yog tias muaj cov qib sib xws.

Yog li, kev suav ntawm qhov sib npaug sib npaug dhau lawm. Tom ntej no yog dab tsi? Tus nqi tau txais yog ntsuas rau qhov tseem ceeb uas siv Pearson coefficient los ntawm kev sib faib cov coefficient no los ntawm tus lej ntawm cov kws tshaj lij thiab los ntawm tus lej ntawm kev ywj pheej (m-1). Cov txiaj ntsig tau muab piv nrog tus nqi ntawm lub rooj, thiab yog tias tus nqi ntawm thawj tshaj qhov kawg, lawv hais txog qhov tseem ceeb ntawm cov coefficient hauv kev kawm.

Nyob rau hauv cov ntaub ntawv muaj feem xyuam, kev xam ntawm Pearson cov txheej txheem yuav nyuaj me ntsis thiab ua los ntawm cov piv txwv hauv qab no: (12S)/(d(m2+ m)-(1/(m-1))x(Ts1 +Ts2 +Tsn)

Example

Xav tias tus kws tshaj lij txoj kev ntsuas qhov kev sib tw ntawm butter muag hauv khw muag khoom network. Cia peb muab piv txwv ntawm kev xam cov concordance coefficient. Ua ntej ntsuas kev sib tw, nws yog ib qho tsim nyog los ntsuas cov neeg siv khoomcov khoom ntawm cov khoom no uas koom nrog hauv kev ntsuam xyuas. Cia peb xav tias cov khoom no yuav yog cov hauv qab no: saj thiab tsw, zoo ib yam thiab zoo li, xim, ntim thiab daim ntawv lo, roj cov ntsiab lus, lub npe lag luam, chaw tsim khoom, nqe.

concordance factor piv txwv
concordance factor piv txwv

Xav tias pawg kws tshaj lij muaj 7 tus kws tshaj lij. Daim duab qhia txog cov txiaj ntsig ntawm kev txheeb xyuas cov khoom no.

Tus nqi nruab nrab ntawm r yog xam raws li qhov nruab nrab ntawm tus lej thiab yuav yog 31.5. Txhawm rau nrhiav S, suav cov squared sib txawv ntawm ris thiab r nruab nrab, raws li cov qauv saum toj no, thiab txiav txim siab tias tus nqi ntawm S yog 1718.

Xaiv cov concordance coefficient siv cov mis tsis siv cov qib uas muaj feem cuam tshuam (qib yuav muaj feem cuam tshuam yog tias tib tus Kws Tshaj Lij Choj muaj tib qib rau cov khoom sib txawv).

concordance factor xam piv txwv
concordance factor xam piv txwv

Tus nqi ntawm qhov coefficient no yuav yog 0.83. Qhov no qhia tias muaj kev pom zoo ntawm cov kws tshaj lij.

Txheeb xyuas nws qhov tseem ceeb siv Pearson xeem:

7 x 0.83 x (8-1)=40.7.

Pearson's tabular test ntawm 1% qhov tseem ceeb theem yog 18.5, thiab ntawm 5% - 14.1..

Qhov piv txwv qhia qhov yooj yim thiab nkag tau yooj yim ntawm kev suav rau txhua tus neeg uas paub txog cov hauv paus ntawm kev suav lej. Kom daws tau lawv,siv cov ntaub ntawv spreadsheet.

In xaus

Yog li, qhov sib piv ntawm kev sib haum xeeb qhia qhov sib xws ntawm kev xav ntawm ntau tus kws tshaj lij. Qhov deb nws yog los ntawm 0 thiab ze rau 1, qhov kev xav zoo sib xws. Cov coefficients no yuav tsum tau lees paub los ntawm kev suav cov qauv Pearson.

Pom zoo: