Kappa Measurement of Inter-observer Agreement MultiCalc®, °üÂûÀÚ°£ ÀÏÄ¡µµ Ä«ÆÄ ÃøÁ¤ MultiCalc®

g1 = a + b
g2 = c + d
f1 = a + c
f2 = b + d
P_Observed = (a + d) / N
P_Expected_Cohen = ((f1 * g1) + (f2 * g2)) / sq(N)
P_Expected_Scott = ( sq(f1 + g1) + sq(f2 + g2) ) / ( 4 * sq(N) )
Kappa_Cohen = ( P_Observed - P_Expected_Cohen ) / ( 1 - P_Expected_Cohen )
Kappa_Scott = ( P_Observed - P_Expected_Scott ) / ( 1 - P_Expected_Scott )
Kappa_Bennett = 2 * P_Observed - 1
Bias_Index = (b - c) / N
Prevalence_Index = (a - d) / N
Phi_Coefficient = ((a * d) - (b * c)) / sqr( f1 * f2 * g1 * g2 )

ÀԷ°ª:


°üÂûÀÚ 1

¿¹ ¾Æ´Ï¿À
°üÂûÀÚ 2    ¿¹  a:   b: 
¾Æ´Ï¿À  c:   d: 

°á°ú°ª:

N
P_Observed
P_Expected_Cohen
P_Expected_Scott
Kappa_Cohen
Kappa_Scott
Kappa_Bennett
Bias_Index
Prevalence_Index
Phi_Coefficient
 
Decimal Precision:


Result Ranger® for ÀÏÄ¡ÀÇ °­µµ: Cohen's Kappa

°üÂûÀÚ°£ ÀÏÄ¡µµ¸¦ º¸´Â Ä«ÆÄ ÃøÁ¤°ªÀº ¿ì¿¬È÷ ¹ß»ýÇÒ ¼ö ÀÖ´Â ÀÏÄ¡µµÀÇ Á¤µµ¸¦ ±³Á¤Çϰųª º¸»óÇÕ´Ï´Ù. CohenÀÇ Ä«ÆÄ°¡ ¾Æ¸¶µµ °¡Àå ÈçÈ÷ »ç¿ëµÇ´Â °è»êÀ̰ڽÀ´Ï´Ù¸¸, ¾Æ·¡¿¡ ÀÖ´Â Byrt µîÀÇ ³í¹®Àº Scott°ú BennettÀÇ ¹æ¹ýÀ» Æ÷ÇÔÇÏ¿© ´Ù¾çÇÑ ´Ù¸¥ °è»ê¹æ¹ýÀ» °ËÅäÇϰí ÀÖ½À´Ï´Ù. CohenÀÇ Ä«ÆÄ´Â ¶ÇÇÑ ´ÙÀ½ °è»ê½Ä°ú °°Àº °ªÀ» ³¾ ¼ö ÀÖ½À´Ï´Ù: 2 * ((a * d) - (b * c)) / ((g1 * f2) + (g2 * f1))

ScottÀÇ Ä«ÆÄ´Â ¶ÇÇÑ Æí°ßÀ» ±³Á¤ÇÑ Ä«ÆÄ(Bias Adjusted Kappa)·Î ¾Ë·ÁÁ® ÀÖ½À´Ï´Ù (BAK or Pi). BennettÀÇ °ø½ÄÀº ¶ÇÇÑ Prevalence-adjusted Bias-adjusted Kappa (PABAK)·Î ¾Ë·ÁÁø °á°ú¸¦ ¸¸µé¾î ³À´Ï´Ù. µÎ°¡Áö È¿°ú¸¦ ±³Á¤ÇÔÀ¸·Î½á ¿ì¸®´Â ´Ü¼øÇÑ ¼±Çü°ü°è¸¦ ¾ò½À´Ï´Ù. ¿Ö³ÄÇϸé P_Expected°¡ .5·Î ¸ÂÃß¾îÁ® À־

    ( P_Observed - P_Expected ) / ( 1 - P_Expected )
    ( P_Observed - .5 ) / ( 1 - .5 )À̱⠶§¹®ÀÔ´Ï´Ù.

±×¸®°í ±× ¹æÁ¤½ÄÀº À§¿¡ º¸ÀÌ´Â simple Benett's formula·Î ½±°Ô ¹Ù²Ü ¼ö ÀÖ½À´Ï´Ù.

Phi´Â ÀÌ 2x2 Ç¥¾È¿¡¼­ ¾²ÀÌ´Â »ó°ü°è¼öÀÔ´Ï´Ù.

ÀԷº¯¼ö´Â °üÂûÀÚµéÀÌ È®½ÇÈ÷ µ¿ÀÇÇϰųª(input A), ȤÀº µ¿ÀÇÇÏÁö ¾Ê°Å³ª(input B), ȤÀº °¡´ÉÇÑ µÎ°¡Áö Á¶ÇÕÀÇ µ¿ÀÇÇÏÁö ¾ÊÀ½(input B¿Í C)À» ÀǹÌÇÕ´Ï´Ù


Âü°í¹®Çå

Cohen JA, A coefficient of agreement for nominal scales, Educ Psych Meas, 1960; 20:37-46

Cicchetti DV, Feinstein AR, High agreement but low kappa: II. Resolving the paradoxes, J Clin Epidemiol, 1990;43(6):551-558

Bennett EM, Albert R, Goldstein AC, Communications through limited response questioning, Public Opinion Q, 1954; 18:303-308

Scott WA, Reliability of content analysis: The case of nominal scale coding, Public Opinion Q, 1955; 19:321-325

Byrt T, Bishop J, Carlin JB, Bias, prevalence and kappa, J Clin Epidem, 1993; v46 #5, 423-429


 


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