Cohen's kappa coefficient (often get low coefficients)

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Cohen's kappa coefficient (often get low coefficients)

Paul Mcgeoghan
Hi,
 
A common question I get asked is why does Cohen's Kappa give low coefficient when it can range between 0 and 1.
 
I use the Kappa syntax obtained from Raynald's site:
 
As an example, I have data with 13 raters and 4 categories and 264 items.
 
The overall value of Cohen's Kappa is .0422 and a p-value of .0079. This is quite a low value of Kappa, given that it can range between 0 and 1?
 
The Percent of Rater agreement is .5283

The value of k for individual categories is
 
Category     k
1           -.0035
2           .1410
3           .0059
4           .0489
 
Categories 2 and 4 are significant.
Very few raters indicate category 1 but is it possible to have a negative Kappa when it ranges between 0 and 1.
 
Can anyone offer advice on this?
 
Thanks,
Paul

Paul McGeoghan,
Application Support Specialist (Statistics and Databases),
University Infrastructure Group (UIG),
Information Services
Cardiff University
Tel. 02920 875035
====================To manage your subscription to SPSSX-L, send a message to [hidden email] (not to SPSSX-L), with no body text except the command. To leave the list, send the command SIGNOFF SPSSX-L For a list of commands to manage subscriptions, send the command INFO REFCARD
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Re: Cohen's kappa coefficient (often get low coefficients)

bdates
Paul,

 

Negative kappa values are unusual, but do occur.  Negative values
indicate that raters agreed less than would have been expected by
chance.

 

Brian

 

________________________________

From: SPSSX(r) Discussion [mailto:[hidden email]] On Behalf Of
Paul McGeoghan
Sent: Wednesday, April 02, 2008 7:17 AM
To: [hidden email]
Subject: Cohen's kappa coefficient (often get low coefficients)

 

Hi,

 

A common question I get asked is why does Cohen's Kappa give low
coefficient when it can range between 0 and 1.

 

I use the Kappa syntax obtained from Raynald's site:

http://www.spsstools.net/Syntax/Matrix/CohensKappa.txt

 

As an example, I have data with 13 raters and 4 categories and 264
items.

 

The overall value of Cohen's Kappa is .0422 and a p-value of .0079. This
is quite a low value of Kappa, given that it can range between 0 and 1?

 

The Percent of Rater agreement is .5283


The value of k for individual categories is

 

Category     k

1           -.0035

2           .1410

3           .0059

4           .0489

 

Categories 2 and 4 are significant.

Very few raters indicate category 1 but is it possible to have a
negative Kappa when it ranges between 0 and 1.

 

Can anyone offer advice on this?

 

Thanks,

Paul


Paul McGeoghan,
Application Support Specialist (Statistics and Databases),
University Infrastructure Group (UIG),
Information Services
Cardiff University
Tel. 02920 875035

======= To manage your subscription to SPSSX-L, send a message to
[hidden email] (not to SPSSX-L), with no body text except the
command. To leave the list, send the command SIGNOFF SPSSX-L For a list
of commands to manage subscriptions, send the command INFO REFCARD

====================To manage your subscription to SPSSX-L, send a message to
[hidden email] (not to SPSSX-L), with no body text except the
command. To leave the list, send the command
SIGNOFF SPSSX-L
For a list of commands to manage subscriptions, send the command
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Re: Cohen's kappa coefficient (often get low coefficients)

zstatman
David Nichols of SPSS wrote an article in 1999 for Keywords titled "HOW
NEGATIVE RELIABILITY COEFFICIENTS CAN OCCUR: My Coefficient a is Negative!"
that could help.


WMB
Statistical Services

=========================================
mailto:[hidden email]
http://home.earthlink.net/~info.statman
=========================================

Virus Scan Notice: This email is certified to be virus free.


-----Original Message-----
From: SPSSX(r) Discussion [mailto:[hidden email]] On Behalf Of
Dates, Brian
Sent: Wednesday, April 02, 2008 8:17 AM
To: [hidden email]
Subject: Re: Cohen's kappa coefficient (often get low coefficients)

Paul,



Negative kappa values are unusual, but do occur.  Negative values indicate
that raters agreed less than would have been expected by chance.



Brian



________________________________

From: SPSSX(r) Discussion [mailto:[hidden email]] On Behalf Of
Paul McGeoghan
Sent: Wednesday, April 02, 2008 7:17 AM
To: [hidden email]
Subject: Cohen's kappa coefficient (often get low coefficients)



Hi,



A common question I get asked is why does Cohen's Kappa give low coefficient
when it can range between 0 and 1.



I use the Kappa syntax obtained from Raynald's site:

http://www.spsstools.net/Syntax/Matrix/CohensKappa.txt



As an example, I have data with 13 raters and 4 categories and 264 items.



The overall value of Cohen's Kappa is .0422 and a p-value of .0079. This is
quite a low value of Kappa, given that it can range between 0 and 1?



The Percent of Rater agreement is .5283


The value of k for individual categories is



Category     k

1           -.0035

2           .1410

3           .0059

4           .0489



Categories 2 and 4 are significant.

Very few raters indicate category 1 but is it possible to have a negative
Kappa when it ranges between 0 and 1.



Can anyone offer advice on this?



Thanks,

Paul


Paul McGeoghan,
Application Support Specialist (Statistics and Databases), University
Infrastructure Group (UIG), Information Services Cardiff University Tel.
02920 875035

======= To manage your subscription to SPSSX-L, send a message to
[hidden email] (not to SPSSX-L), with no body text except the
command. To leave the list, send the command SIGNOFF SPSSX-L For a list of
commands to manage subscriptions, send the command INFO REFCARD

=======
To manage your subscription to SPSSX-L, send a message to
[hidden email] (not to SPSSX-L), with no body text except the
command. To leave the list, send the command SIGNOFF SPSSX-L For a list of
commands to manage subscriptions, send the command INFO REFCARD

=====================
To manage your subscription to SPSSX-L, send a message to
[hidden email] (not to SPSSX-L), with no body text except the
command. To leave the list, send the command
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Will
Statistical Services
 
============
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http://home.earthlink.net/~z_statman/
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Re: Cohen's kappa coefficient (often get low coefficients)

Swank, Paul R
Kappa is very dependent on the distribution of the responses. Because it
corrects for chance agreement, the more likely a chance agreement, the
lower Kappa tends to be. If you have a dichotomous item where 90% of the
respondents sat=y "A", it won't take much disagreement to cause kappa to
be low.

Paul R. Swank, Ph.D.
Professor and Director of Research
Children's Learning Institute
University of Texas Health Science Center - Houston


-----Original Message-----
From: SPSSX(r) Discussion [mailto:[hidden email]] On Behalf Of
Statman (WMB)
Sent: Wednesday, April 02, 2008 7:56 AM
To: [hidden email]
Subject: Re: Cohen's kappa coefficient (often get low coefficients)

David Nichols of SPSS wrote an article in 1999 for Keywords titled "HOW
NEGATIVE RELIABILITY COEFFICIENTS CAN OCCUR: My Coefficient a is
Negative!"
that could help.


WMB
Statistical Services

=========================================
mailto:[hidden email]
http://home.earthlink.net/~info.statman
=========================================

Virus Scan Notice: This email is certified to be virus free.


-----Original Message-----
From: SPSSX(r) Discussion [mailto:[hidden email]] On Behalf Of
Dates, Brian
Sent: Wednesday, April 02, 2008 8:17 AM
To: [hidden email]
Subject: Re: Cohen's kappa coefficient (often get low coefficients)

Paul,



Negative kappa values are unusual, but do occur.  Negative values
indicate
that raters agreed less than would have been expected by chance.



Brian



________________________________

From: SPSSX(r) Discussion [mailto:[hidden email]] On Behalf Of
Paul McGeoghan
Sent: Wednesday, April 02, 2008 7:17 AM
To: [hidden email]
Subject: Cohen's kappa coefficient (often get low coefficients)



Hi,



A common question I get asked is why does Cohen's Kappa give low
coefficient
when it can range between 0 and 1.



I use the Kappa syntax obtained from Raynald's site:

http://www.spsstools.net/Syntax/Matrix/CohensKappa.txt



As an example, I have data with 13 raters and 4 categories and 264
items.



The overall value of Cohen's Kappa is .0422 and a p-value of .0079. This
is
quite a low value of Kappa, given that it can range between 0 and 1?



The Percent of Rater agreement is .5283


The value of k for individual categories is



Category     k

1           -.0035

2           .1410

3           .0059

4           .0489



Categories 2 and 4 are significant.

Very few raters indicate category 1 but is it possible to have a
negative
Kappa when it ranges between 0 and 1.



Can anyone offer advice on this?



Thanks,

Paul


Paul McGeoghan,
Application Support Specialist (Statistics and Databases), University
Infrastructure Group (UIG), Information Services Cardiff University Tel.
02920 875035

======= To manage your subscription to SPSSX-L, send a message to
[hidden email] (not to SPSSX-L), with no body text except the
command. To leave the list, send the command SIGNOFF SPSSX-L For a list
of
commands to manage subscriptions, send the command INFO REFCARD

=======
To manage your subscription to SPSSX-L, send a message to
[hidden email] (not to SPSSX-L), with no body text except the
command. To leave the list, send the command SIGNOFF SPSSX-L For a list
of
commands to manage subscriptions, send the command INFO REFCARD

=====================
To manage your subscription to SPSSX-L, send a message to
[hidden email] (not to SPSSX-L), with no body text except the
command. To leave the list, send the command
SIGNOFF SPSSX-L
For a list of commands to manage subscriptions, send the command
INFO REFCARD

=====================
To manage your subscription to SPSSX-L, send a message to
[hidden email] (not to SPSSX-L), with no body text except the
command. To leave the list, send the command
SIGNOFF SPSSX-L
For a list of commands to manage subscriptions, send the command
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