Correlation between ordinal data

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Correlation between ordinal data

Salbod
I have two columns of data made up of 10 rows, representing families. The data in each row is the choice (Frequently (3), Moderately (2), and Rarely (1)) made by a family member and professional about another individual.   I am interested if there is a correlation between the two: family members and professionals.
Does a Spearman rho provide me with this answer or is there a better test?

TIA, Stephen Salbod, Pace University, NYC
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Re: Correlation between ordinal data

Norberto Hernandez
Maybe you can find useful the polychoric correlation:


Regards!!


2014-04-23 10:02 GMT-05:00 Salbod <[hidden email]>:
I have two columns of data made up of 10 rows, representing families. The
data in each row is the choice (Frequently (3), Moderately (2), and Rarely
(1)) made by a family member and professional about another individual.   I
am interested if there is a correlation between the two: family members and
professionals.
Does a Spearman rho provide me with this answer or is there a better test?

TIA, Stephen Salbod, Pace University, NYC




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Re: Correlation between ordinal data

Salbod

Thanks Norberto. I thought about the polychoric, but I couldn’t find it in SPSS and I wasn’t sure if it used the ordering information. I’ll check out the link you so kindly provided. --Steve

 

From: SPSSX(r) Discussion [mailto:[hidden email]] On Behalf Of Norberto Hernandez
Sent: Wednesday, April 23, 2014 11:11 AM
To: [hidden email]
Subject: Re: Correlation between ordinal data

 

Maybe you can find useful the polychoric correlation:

 

 

Regards!!

 

2014-04-23 10:02 GMT-05:00 Salbod <[hidden email]>:

I have two columns of data made up of 10 rows, representing families. The
data in each row is the choice (Frequently (3), Moderately (2), and Rarely
(1)) made by a family member and professional about another individual.   I
am interested if there is a correlation between the two: family members and
professionals.
Does a Spearman rho provide me with this answer or is there a better test?

TIA, Stephen Salbod, Pace University, NYC




--
View this message in context: http://spssx-discussion.1045642.n5.nabble.com/Correlation-between-ordinal-data-tp5725627.html
Sent from the SPSSX Discussion mailing list archive at Nabble.com.

=====================
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[hidden email] (not to SPSSX-L), with no body text except the
command. To leave the list, send the command
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Re: Correlation between ordinal data

Anton-24
In reply to this post by Salbod
Check out the HETCOR extension bundle on the IBM / SPSS website.

This procedure calculates correlations between nominal, ordinal, and scale
variables, accounting for the measurement levels of the variables. The
resulting heterogeneous correlation matrix consists of Pearson
product-moment correlations between scale variables, polyserial correlations
between scale and categorical variables, and polychoric correlations between
categorical variables. The procedure uses the hetcor function from the R
polycor package.



On Wed, 23 Apr 2014 08:02:42 -0700, Salbod <[hidden email]> wrote:

>I have two columns of data made up of 10 rows, representing families. The
>data in each row is the choice (Frequently (3), Moderately (2), and Rarely
>(1)) made by a family member and professional about another individual.   I
>am interested if there is a correlation between the two: family members and
>professionals.
>Does a Spearman rho provide me with this answer or is there a better test?
>
>TIA, Stephen Salbod, Pace University, NYC
>
>
>
>
>--
>View this message in context:
http://spssx-discussion.1045642.n5.nabble.com/Correlation-between-ordinal-data-tp5725627.html
>Sent from the SPSSX Discussion mailing list archive at Nabble.com.
>
>=====================
>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: Correlation between ordinal data

Jon K Peck
In reply to this post by Salbod
Polychoric correlation is available in the SPSSINC HETCOR extension command - it computes Pearson, polyserial, or polychoric depending on the measurement levels of the variables.



Jon Peck (no "h") aka Kim
Senior Software Engineer, IBM
[hidden email]
phone: 720-342-5621




From:        "Salbod, Mr. Stephen" <[hidden email]>
To:        [hidden email],
Date:        04/23/2014 09:41 AM
Subject:        Re: [SPSSX-L] Correlation between ordinal data
Sent by:        "SPSSX(r) Discussion" <[hidden email]>




Thanks Norberto. I thought about the polychoric, but I couldn’t find it in SPSS and I wasn’t sure if it used the ordering information. I’ll check out the link you so kindly provided. --Steve
 
From: SPSSX(r) Discussion [[hidden email]] On Behalf Of Norberto Hernandez
Sent:
Wednesday, April 23, 2014 11:11 AM
To:
[hidden email]
Subject:
Re: Correlation between ordinal data

 
Maybe you can find useful the polychoric correlation:
 
http://john-uebersax.com/stat/tetra.htm
 
Regards!!
 
2014-04-23 10:02 GMT-05:00 Salbod <ssalbod@...>:
I have two columns of data made up of 10 rows, representing families. The
data in each row is the choice (Frequently (3), Moderately (2), and Rarely
(1)) made by a family member and professional about another individual.   I
am interested if there is a correlation between the two: family members and
professionals.
Does a Spearman rho provide me with this answer or is there a better test?

TIA, Stephen Salbod, Pace University, NYC




--
View this message in context:
http://spssx-discussion.1045642.n5.nabble.com/Correlation-between-ordinal-data-tp5725627.html
Sent from the SPSSX Discussion mailing list archive at Nabble.com.

=====================
To manage your subscription to SPSSX-L, send a message to

LISTSERV@... (not to SPSSX-L), with no body text except the
command. To leave the list, send the command
SIGNOFF SPSSX-L
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Re: Correlation between ordinal data

Rich Ulrich
In reply to this post by Norberto Hernandez
I'm pretty sure that I would stick with the plain, old Pearson r.

Spearman is much better suited to continuous data:  Is there
really any improvement in anything by transforming (1,2,3) into
the "average rank" observed with massive numbers of ties?  Of
course, if you ask for a Monte Carlo evaluation, you do get an
"exact" test.  Otherwise, the tests on Spearman are only as good
as the adjustment-in-error made for ties (which is not always so
good). 

My impression of the tetrachoric and polychoric correlations is
that they have a role where theorists are paying close attention to
using r as a precise measure of the "underlying relationships". The
price of this gain is that you don't have any decent tests... and you
probably mislead your readership, who fail to note that these numbers
are inflated, compared to the r's that they are familiar with for similar
situations.

--
Rich Ulrich



Date: Wed, 23 Apr 2014 10:10:32 -0500
From: [hidden email]
Subject: Re: Correlation between ordinal data
To: [hidden email]

Maybe you can find useful the polychoric correlation:


Regards!!


2014-04-23 10:02 GMT-05:00 Salbod <[hidden email]>:
I have two columns of data made up of 10 rows, representing families. The
data in each row is the choice (Frequently (3), Moderately (2), and Rarely
(1)) made by a family member and professional about another individual.   I
am interested if there is a correlation between the two: family members and
professionals.
Does a Spearman rho provide me with this answer or is there a better test?

TIA, Stephen Salbod, Pace University, NYC


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Re: Correlation between ordinal data

Andy W
That seems like a fair assessment to me. I've seen arguments for using Kendall's Tau over Spearman when comparing treatments, see this discussion and other linked questions on Crossvalidated, Kendall Tau or Spearman's rho?. But for just estimating the correlation between the two measures any one of them may be sufficient.

With only three measures for each a plot (and/or a table) is fine as well in my opinion. Especially with only 10 observations.
Andy W
apwheele@gmail.com
http://andrewpwheeler.wordpress.com/
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Re: Correlation between ordinal data

Art Kendall
In reply to this post by Salbod
With such a coarse measurement scale and only 10 cases, I would take any result with a good dose of salt even with the exact tests.

Art Kendall
Social Research Consultants
On 4/23/2014 11:02 AM, Salbod [via SPSSX Discussion] wrote:
I have two columns of data made up of 10 rows, representing families. The data in each row is the choice (Frequently (3), Moderately (2), and Rarely (1)) made by a family member and professional about another individual.   I am interested if there is a correlation between the two: family members and professionals.
Does a Spearman rho provide me with this answer or is there a better test?

TIA, Stephen Salbod, Pace University, NYC



If you reply to this email, your message will be added to the discussion below:
http://spssx-discussion.1045642.n5.nabble.com/Correlation-between-ordinal-data-tp5725627.html
To start a new topic under SPSSX Discussion, email [hidden email]
To unsubscribe from SPSSX Discussion, click here.
NAML

Art Kendall
Social Research Consultants
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Re: Correlation between ordinal data

Salbod
In reply to this post by Rich Ulrich

Thanks Rich. I went with the Pearson r—as you said it’s plain. -Steve

 

From: SPSSX(r) Discussion [mailto:[hidden email]] On Behalf Of Rich Ulrich
Sent: Wednesday, April 23, 2014 12:27 PM
To: [hidden email]
Subject: Re: Correlation between ordinal data

 

I'm pretty sure that I would stick with the plain, old Pearson r.

Spearman is much better suited to continuous data:  Is there
really any improvement in anything by transforming (1,2,3) into
the "average rank" observed with massive numbers of ties?  Of
course, if you ask for a Monte Carlo evaluation, you do get an
"exact" test.  Otherwise, the tests on Spearman are only as good
as the adjustment-in-error made for ties (which is not always so
good). 

My impression of the tetrachoric and polychoric correlations is
that they have a role where theorists are paying close attention to
using r as a precise measure of the "underlying relationships". The
price of this gain is that you don't have any decent tests... and you
probably mislead your readership, who fail to note that these numbers
are inflated, compared to the r's that they are familiar with for similar
situations.

--
Rich Ulrich


Date: Wed, 23 Apr 2014 10:10:32 -0500
From: [hidden email]
Subject: Re: Correlation between ordinal data
To: [hidden email]

Maybe you can find useful the polychoric correlation:

 

 

Regards!!

 

2014-04-23 10:02 GMT-05:00 Salbod <[hidden email]>:

I have two columns of data made up of 10 rows, representing families. The
data in each row is the choice (Frequently (3), Moderately (2), and Rarely
(1)) made by a family member and professional about another individual.   I
am interested if there is a correlation between the two: family members and
professionals.
Does a Spearman rho provide me with this answer or is there a better test?

TIA, Stephen Salbod, Pace University, NYC

 

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Re: Correlation between ordinal data

Salbod
In reply to this post by Jon K Peck

Jon, Thanks for mentioning SPSSINC HETCOR. Are there instructions on how I can access that procedure? Thank you. -Steve

 

From: Jon K Peck [mailto:[hidden email]]
Sent: Wednesday, April 23, 2014 11:55 AM
To: Salbod, Mr. Stephen
Cc: [hidden email]
Subject: Re: [SPSSX-L] Correlation between ordinal data

 

Polychoric correlation is available in the SPSSINC HETCOR extension command - it computes Pearson, polyserial, or polychoric depending on the measurement levels of the variables.



Jon Peck (no "h") aka Kim
Senior Software Engineer, IBM
[hidden email]
phone: 720-342-5621




From:        "Salbod, Mr. Stephen" <[hidden email]>
To:        [hidden email],
Date:        04/23/2014 09:41 AM
Subject:        Re: [SPSSX-L] Correlation between ordinal data
Sent by:        "SPSSX(r) Discussion" <[hidden email]>





Thanks Norberto. I thought about the polychoric, but I couldn’t find it in SPSS and I wasn’t sure if it used the ordering information. I’ll check out the link you so kindly provided. --Steve
 
From: SPSSX(r) Discussion [[hidden email]] On Behalf Of Norberto Hernandez
Sent:
Wednesday, April 23, 2014 11:11 AM
To:
[hidden email]
Subject:
Re: Correlation between ordinal data

 
Maybe you can find useful the polychoric correlation:
 
http://john-uebersax.com/stat/tetra.htm
 
Regards!!
 
2014-04-23 10:02 GMT-05:00 Salbod <[hidden email]>:
I have two columns of data made up of 10 rows, representing families. The
data in each row is the choice (Frequently (3), Moderately (2), and Rarely
(1)) made by a family member and professional about another individual.   I
am interested if there is a correlation between the two: family members and
professionals.
Does a Spearman rho provide me with this answer or is there a better test?

TIA, Stephen Salbod, Pace University, NYC




--
View this message in context: http://spssx-discussion.1045642.n5.nabble.com/Correlation-between-ordinal-data-tp5725627.html
Sent from the SPSSX Discussion mailing list archive at Nabble.com.

=====================
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: Correlation between ordinal data

Salbod
In reply to this post by Art Kendall

Art: Thank you for the smile J Steve

 

From: SPSSX(r) Discussion [mailto:[hidden email]] On Behalf Of Art Kendall
Sent: Wednesday, April 23, 2014 4:12 PM
To: [hidden email]
Subject: Re: Correlation between ordinal data

 

With such a coarse measurement scale and only 10 cases, I would take any result with a good dose of salt even with the exact tests.


Art Kendall
Social Research Consultants

On 4/23/2014 11:02 AM, Salbod [via SPSSX Discussion] wrote:

I have two columns of data made up of 10 rows, representing families. The data in each row is the choice (Frequently (3), Moderately (2), and Rarely (1)) made by a family member and professional about another individual.   I am interested if there is a correlation between the two: family members and professionals.
Does a Spearman rho provide me with this answer or is there a better test?

TIA, Stephen Salbod, Pace University, NYC


If you reply to this email, your message will be added to the discussion below:

http://spssx-discussion.1045642.n5.nabble.com/Correlation-between-ordinal-data-tp5725627.html

To start a new topic under SPSSX Discussion, email [hidden email]
To unsubscribe from SPSSX Discussion, click here.
NAML

 

Art Kendall
Social Research Consultants

 


View this message in context: Re: Correlation between ordinal data
Sent from the SPSSX Discussion mailing list archive at Nabble.com.