question about measure creation statistics

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question about measure creation statistics

mmiesner
Hello-
I'm creating a measure that currently has 20 items. 18 of these items are multiple choice, 4 possible answer questions. 2 of the items have 7 possible answers. All of the items are covering the same broad area (knowledge of psychological disorder criteria).

I ran cronbach's alpha and the score was .78.
I talked to my advisor, who said this was incorrect and I should have run KR-20. I did some reading, and two things appear to be true.

First, that in fact, I should be using KR-21 since the answers are not dichotomous.
Second, that there is no way to do this in SPSS.

Would LOVE some guidance.

Michael
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Re: question about measure creation statistics

David Marso
Administrator
SPSS can calculate just about anything.  Please provide formula for KR-21 coefficient (I have not studied psychometrics for about 20+ years) and don't have the time to google it.
mmiesner wrote
Hello-
I'm creating a measure that currently has 20 items. 18 of these items are multiple choice, 4 possible answer questions. 2 of the items have 7 possible answers. All of the items are covering the same broad area (knowledge of psychological disorder criteria).

I ran cronbach's alpha and the score was .78.
I talked to my advisor, who said this was incorrect and I should have run KR-20. I did some reading, and two things appear to be true.

First, that in fact, I should be using KR-21 since the answers are not dichotomous.
Second, that there is no way to do this in SPSS.

Would LOVE some guidance.

Michael
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Re: question about measure creation statistics

Paul Oosterveld
In reply to this post by mmiesner
Michael,

If you score the responses true/false the items are dichotomous. If not please
elaborate on the scoring rules of the items.

KR-21 is a special case of the reliability coefficient with the (general
unrealistic) assumption of equal item difficulties (means). Cronbach's alpha
and KR-20 are identical. The only distinction is that KR-20 is somewhat easier
to compute, something that was useful when calculation had to be done by hand.
It is perfectly valid to use the reliability command in SPSS to compute the
"alpha" on dichotomous variables and call it KR-20.

Paul

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Re: question about measure creation statistics

Swank, Paul R
In reply to this post by mmiesner
Explain what you mean by the answers are not dichotomous. A multiple choice knowledge question has a right answer and several wrong answers but the scoring is dichotomous, right (=1) wrong (=0). Cronbach's alpha in this case gives exactly the same result as the KR-20. It is just a generalization of the Kr-20 to items that are not dichotomous. As the other Paul said, the KR-21 has unreasonable assumptions and was only used because at the time they were developed (1930s) simplicity of computation was of concern. In other words, your advisor is wrong.

Paul

Dr. Paul R. Swank,
Children's Learning Institute
Professor, Department of Pediatrics, Medical School
Adjunct Professor, School of Public Health
University of Texas Health Science Center-Houston


-----Original Message-----
From: SPSSX(r) Discussion [mailto:[hidden email]] On Behalf Of mmiesner
Sent: Thursday, November 17, 2011 6:47 PM
To: [hidden email]
Subject: question about measure creation statistics

Hello-
I'm creating a measure that currently has 20 items. 18 of these items are
multiple choice, 4 possible answer questions. 2 of the items have 7 possible
answers. All of the items are covering the same broad area (knowledge of
psychological disorder criteria).

I ran cronbach's alpha and the score was .78.
I talked to my advisor, who said this was incorrect and I should have run
KR-20. I did some reading, and two things appear to be true.

First, that in fact, I should be using KR-21 since the answers are not
dichotomous.
Second, that there is no way to do this in SPSS.

Would LOVE some guidance.

Michael

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Re: question about measure creation statistics

ANDRES ALBERTO BURGA LEON
In reply to this post by David Marso

KR-20 is for dichotomous scored items, asuming all have the same dificulty

Does all your items have the same dificulty?

Andrés

Mg. Andrés Burga León
Coordinador de Análisis e Informática
Unidad de Medición de la Calidad Educativa (UMC)
Ministerio de Educación del Perú
Av.de la Arqeuología s/n (cuadra 2)
Lima 41
Perú
Teléfono 615-5840 - 6155800 anexo 1212
http://www2.minedu.gob.pe/umc/


David Marso <[hidden email]>
Enviado por: "SPSSX(r) Discussion" <[hidden email]>

17/11/2011 09:31 p.m.

Por favor, responda a
David Marso <[hidden email]>

Para
[hidden email]
cc
Asunto
Re: question about measure creation statistics





SPSS can calculate just about anything.  Please provide formula for KR-21
coefficient (I have not studied psychometrics for about 20+ years) and don't
have the time to google it.

mmiesner wrote:
>
> Hello-
> I'm creating a measure that currently has 20 items. 18 of these items are
> multiple choice, 4 possible answer questions. 2 of the items have 7
> possible answers. All of the items are covering the same broad area
> (knowledge of psychological disorder criteria).
>
> I ran cronbach's alpha and the score was .78.
> I talked to my advisor, who said this was incorrect and I should have run
> KR-20. I did some reading, and two things appear to be true.
>
> First, that in fact, I should be using KR-21 since the answers are not
> dichotomous.
> Second, that there is no way to do this in SPSS.
>
> Would LOVE some guidance.
>
> Michael
>


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Re: question about measure creation statistics

ANDRES ALBERTO BURGA LEON

Sorry for the last post, I've mixed 20 and 21.

Anyway, Both are for dichotoimous items, and KR-20 is mathematically equivalent to Cronbachs alpha

Michael, you said:

> First, that in fact, I should be using KR-21 since the answers are not
> dichotomous.


If your answres are not dichotomous you should not be using any KR reliability estimate.

Cronbacdh alpha is both for dichotomous and polytomous scored items.

Andrés

Mg. Andrés Burga León
Coordinador de Análisis e Informática
Unidad de Medición de la Calidad Educativa (UMC)
Ministerio de Educación del Perú
Av.de la Arqeuología s/n (cuadra 2)
Lima 41
Perú
Teléfono 615-5840 - 6155800 anexo 1212
http://www2.minedu.gob.pe/umc/


"Swank, Paul R" <[hidden email]>

18/11/2011 03:58 p.m.

Para
ANDRES ALBERTO BURGA LEON <[hidden email]>
cc
Asunto
RE: question about measure creation statistics





That’s the KR-21 that does that. KR-20 assume that all items have the same relation to the true score.
 
Dr. Paul R. Swank,
Children's Learning Institute
Professor, Department of Pediatrics, Medical School
Adjunct Professor, School of Public Health
University of Texas Health Science Center-Houston
 
From: SPSSX(r) Discussion [[hidden email]] On Behalf Of ANDRES ALBERTO BURGA LEON
Sent:
Friday, November 18, 2011 2:27 PM
To:
[hidden email]
Subject:
Re: question about measure creation statistics

 

KR-20 is for dichotomous scored items, asuming all have the same dificulty


Does all your items have the same dificulty?


Andrés


Mg. Andrés Burga León
Coordinador de Análisis e Informática
Unidad de Medición de la Calidad Educativa (UMC)
Ministerio de Educación del Perú
Av.de la Arqeuología s/n (cuadra 2)
Lima 41
Perú
Teléfono 615-5840 - 6155800 anexo 1212

http://www2.minedu.gob.pe/umc/

David Marso <[hidden email]>
Enviado por: "SPSSX(r) Discussion" <[hidden email]>

17/11/2011 09:31 p.m.


Por favor, responda a
David Marso <[hidden email]>


Para
[hidden email]
cc
Asunto
Re: question about measure creation statistics

 







SPSS can calculate just about anything.  Please provide formula for KR-21
coefficient (I have not studied psychometrics for about 20+ years) and don't
have the time to google it.

mmiesner wrote:
>
> Hello-
> I'm creating a measure that currently has 20 items. 18 of these items are
> multiple choice, 4 possible answer questions. 2 of the items have 7
> possible answers. All of the items are covering the same broad area
> (knowledge of psychological disorder criteria).
>
> I ran cronbach's alpha and the score was .78.
> I talked to my advisor, who said this was incorrect and I should have run
> KR-20. I did some reading, and two things appear to be true.
>
> First, that in fact, I should be using KR-21 since the answers are not
> dichotomous.
> Second, that there is no way to do this in SPSS.
>
> Would LOVE some guidance.
>
> Michael
>


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Re: question about measure creation statistics

Bruce Weaver
Administrator
In reply to this post by ANDRES ALBERTO BURGA LEON
It is KR-21, not KR-20, that assumes all items are equally difficult.  See Paul O's earlier post:

http://spssx-discussion.1045642.n5.nabble.com/question-about-measure-creation-statistics-tp5002888p5003728.html


ANDRES ALBERTO BURGA LEON wrote
KR-20 is for dichotomous scored items, asuming all have the same dificulty

Does all your items have the same dificulty?

Andrés

Mg. Andrés Burga León
Coordinador de Análisis e Informática
Unidad de Medición de la Calidad Educativa (UMC)
Ministerio de Educación del Perú
Av.de la Arqeuología s/n (cuadra 2)
Lima 41
Perú
Teléfono 615-5840 - 6155800 anexo 1212
http://www2.minedu.gob.pe/umc/



David Marso <[hidden email]>
Enviado por: "SPSSX(r) Discussion" <[hidden email]>
17/11/2011 09:31 p.m.
Por favor, responda a
David Marso <[hidden email]>


Para
[hidden email]
cc

Asunto
Re: question about measure creation statistics






SPSS can calculate just about anything.  Please provide formula for KR-21
coefficient (I have not studied psychometrics for about 20+ years) and
don't
have the time to google it.

mmiesner wrote:
>
> Hello-
> I'm creating a measure that currently has 20 items. 18 of these items
are
> multiple choice, 4 possible answer questions. 2 of the items have 7
> possible answers. All of the items are covering the same broad area
> (knowledge of psychological disorder criteria).
>
> I ran cronbach's alpha and the score was .78.
> I talked to my advisor, who said this was incorrect and I should have
run
> KR-20. I did some reading, and two things appear to be true.
>
> First, that in fact, I should be using KR-21 since the answers are not
> dichotomous.
> Second, that there is no way to do this in SPSS.
>
> Would LOVE some guidance.
>
> Michael
>


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Re: question about measure creation statistics

Rich Ulrich
In reply to this post by ANDRES ALBERTO BURGA LEON
Cronbach's alpha serves as a reliability coefficient both for dichotomous
and scaled-score items (not, "polytomous" items).

I gather that both KR-20 and KR-21 are used for dichotomies, where
KR-21 is a simpler formula for hand calculation, usable under an
unlikely assumption.  No one would use it these days, since no one
bothers with the tedium and inaccuracy of hand-calculations.
KR-20 matches one version of Cronbach's alpha.

"Polytomous" describes categorical items when there are more than
two categories.  If they are "ordered" categories, I would always say
"ordered" or "scaled". 

--
Rich Ulrich



Date: Fri, 18 Nov 2011 16:06:43 -0500
From: [hidden email]
Subject: Re: question about measure creation statistics
To: [hidden email]


Sorry for the last post, I've mixed 20 and 21.

Anyway, Both are for dichotoimous items, and KR-20 is mathematically equivalent to Cronbachs alpha

Michael, you said:

> First, that in fact, I should be using KR-21 since the answers are not
> dichotomous.


If your answres are not dichotomous you should not be using any KR reliability estimate.

Cronbacdh alpha is both for dichotomous and polytomous scored items.

Andrés
[snip, previous]