question about associations between variables missing response categories

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question about associations between variables missing response categories

Caroline Wilson
Hi listserv,

I have a variable on a 0-10 scale (q2), and I would like to look at associations between this variable and 3 other variables (Q4-Q6).  Q4-Q6 are all (in theory) on a scale of 1-4.

However, in the actual data, the variable q2 only takes 4 values: 0, 7, 8 and 9. Q4-Q6 also has missing categories, for example Q4 only has values of 3 & 4.

I would like to look at the association between q2 and each of the other 3 variables. Does anyone have any advice on this best way to do this? Specific transformations, specific statistical tests?

Many thanks in advance for any assistance,
Caroline

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Re: question about associations between variables missing response categories

Maguin, Eugene
Rather than 'missing', wouldn't 'unused' be a more accurate adjective. You want association. Why not correlations? They're computable. But since correlation assumes linearity why not begin with a crosstabs to whether the percentage of 4's rises or falls across values of Q2. You could also use Means (Q4 to Q6 by Q2) and test for linearity.
Gene Maguin

-----Original Message-----
From: SPSSX(r) Discussion [mailto:[hidden email]] On Behalf Of Caroline Wilson
Sent: Wednesday, April 02, 2014 8:34 PM
To: [hidden email]
Subject: question about associations between variables missing response categories

Hi listserv,

I have a variable on a 0-10 scale (q2), and I would like to look at associations between this variable and 3 other variables (Q4-Q6).  Q4-Q6 are all (in theory) on a scale of 1-4.

However, in the actual data, the variable q2 only takes 4 values: 0, 7, 8 and 9. Q4-Q6 also has missing categories, for example Q4 only has values of 3 & 4.

I would like to look at the association between q2 and each of the other 3 variables. Does anyone have any advice on this best way to do this? Specific transformations, specific statistical tests?

Many thanks in advance for any assistance, Caroline

=====================
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: question about associations between variables missing response categories

Caroline Wilson
Thank you, Eugene. How about using Spearman’s Rho rank-order for correlation for ordinal variables, followed by ordinal regression (per Diana's suggestion)? I assume that q2 should be treated as ordinal - even though it is a 0-10 scale, only 4 of the values were actually used in the data. (?)

Thank you!
Caroline

--------------------------------------------
On Thu, 4/3/14, Maguin, Eugene <[hidden email]> wrote:

 Subject: Re: question about associations between variables missing              response categories
 To: [hidden email]
 Date: Thursday, April 3, 2014, 9:04 AM

 Rather than 'missing', wouldn't
 'unused' be a more accurate adjective. You want association.
 Why not correlations? They're computable. But since
 correlation assumes linearity why not begin with a crosstabs
 to whether the percentage of 4's rises or falls across
 values of Q2. You could also use Means (Q4 to Q6 by Q2) and
 test for linearity.
 Gene Maguin

 -----Original Message-----
 From: SPSSX(r) Discussion [mailto:[hidden email]]
 On Behalf Of Caroline Wilson
 Sent: Wednesday, April 02, 2014 8:34 PM
 To: [hidden email]
 Subject: question about associations between variables
 missing response categories

 Hi listserv,

 I have a variable on a 0-10 scale (q2), and I would like to
 look at associations between this variable and 3 other
 variables (Q4-Q6).�  Q4-Q6 are all (in theory) on a
 scale of 1-4.

 However, in the actual data, the variable q2 only takes 4
 values: 0, 7, 8 and 9. Q4-Q6 also has missing categories,
 for example Q4 only has values of 3 & 4.

 I would like to look at the association between q2 and each
 of the other 3 variables. Does anyone have any advice on
 this best way to do this? Specific transformations, specific
 statistical tests?

 Many thanks in advance for any assistance, Caroline

 =====================
 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
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 REFCARD

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Re: question about associations between variables missing response categories

Maguin, Eugene
I didn’t see Diana's reply on the list. Other than knowing that Spearman's is a rank order method, I'm also not very familiar with it. You're after association. I think the most general method is a chi-square or other method that treats the variables as nominal. I can't comment at all on those methods. It seems you'd like to assert that there's an ordinal or, maybe, linear relationship between q2 and q4, q5, and q6. So crosstab the variables and ask for Spearmans. The thing, the important thing, to see from the crosstabs is whether the proportion of 4's in q2 rises steadily (or falls steadily) across increasing values of the other variables. Let's take q2 and q4, specifically. You could treat q2 as the dv in a logistic regression but you get two coefficients for three values of q4. Or, you could treat q4 as the dv in an ordinal regression. You get one coefficient; however, the assumption is that slope coefficient is the same, i.e, not statistically different, for the two embedded regressions, which is testable if you use Plum but not, I don't think, if you use genlin or genlinmixed. You can get an idea of whether this might be from the crosstabs by computing the odds ratios.
Gene Maguin



-----Original Message-----
From: SPSSX(r) Discussion [mailto:[hidden email]] On Behalf Of Caroline Wilson
Sent: Thursday, April 03, 2014 2:13 PM
To: [hidden email]
Subject: Re: question about associations between variables missing response categories

Thank you, Eugene. How about using Spearman’s Rho rank-order for correlation for ordinal variables, followed by ordinal regression (per Diana's suggestion)? I assume that q2 should be treated as ordinal - even though it is a 0-10 scale, only 4 of the values were actually used in the data. (?)

Thank you!
Caroline

--------------------------------------------
On Thu, 4/3/14, Maguin, Eugene <[hidden email]> wrote:

 Subject: Re: question about associations between variables missing              response categories
 To: [hidden email]
 Date: Thursday, April 3, 2014, 9:04 AM

 Rather than 'missing', wouldn't
 'unused' be a more accurate adjective. You want association.
 Why not correlations? They're computable. But since  correlation assumes linearity why not begin with a crosstabs  to whether the percentage of 4's rises or falls across  values of Q2. You could also use Means (Q4 to Q6 by Q2) and  test for linearity.
 Gene Maguin

 -----Original Message-----
 From: SPSSX(r) Discussion [mailto:[hidden email]]  On Behalf Of Caroline Wilson
 Sent: Wednesday, April 02, 2014 8:34 PM
 To: [hidden email]
 Subject: question about associations between variables  missing response categories

 Hi listserv,

 I have a variable on a 0-10 scale (q2), and I would like to  look at associations between this variable and 3 other  variables (Q4-Q6).   Q4-Q6 are all (in theory) on a  scale of 1-4.

 However, in the actual data, the variable q2 only takes 4
 values: 0, 7, 8 and 9. Q4-Q6 also has missing categories,  for example Q4 only has values of 3 & 4.

 I would like to look at the association between q2 and each  of the other 3 variables. Does anyone have any advice on  this best way to do this? Specific transformations, specific  statistical tests?

 Many thanks in advance for any assistance, Caroline

 =====================
 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: question about associations between variables missing response categories

Rich Ulrich
In reply to this post by Caroline Wilson
[posting: third try, this time through Nabble]
Here is a general rule: simple rank transformation/statistics on rating scales
with only a few points should be avoided, almost always.  If there is no
gap in the scores, you almost always do better by using the original numbers.
Using ranks as an intermediate step in computing some logistic solution ,
on the other hand, can be sensible and powerful.

This example does have a 10-point scale with a huge (unexplained) gap. (Why?)
Instead of the Spearman:  The Crosstabs procedure provides the Mantel
statistic, which cleverly treats the categories as if they were coded without a gap.


WHY is there a multiple-point gap in q2?  Should q2 be treated, for purposes
of inference, as two questions -- (0 vs. other) and (points, for the non-zero)?
Alternatively:  Should the 0 be recoded to be contiguous?

Whatever you do, keep in mind that correlations generated by 2-point items
are not "robust" when compared to those from 3-point or 4-point items.  That is
to say:  a Spearman or Pearson of 0.40 (say) on a dichotomy might reflect an underlying
relation that is stronger than the parallel measure of 0.45 for a 4-point item,

--
Rich Ulrich
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Re: question about associations between variables missing response categories

Caroline Wilson
Thank you, Rich and Gene. Your advice is invaluable!

--------------------------------------------
On Thu, 4/3/14, Rich Ulrich <[hidden email]> wrote:

 Subject: Re: question about associations between variables missing              response categories
 To: [hidden email]
 Date: Thursday, April 3, 2014, 4:31 PM

 [posting: third try, this time
 through Nabble]
 Here is a general rule: simple rank
 transformation/statistics on rating
 scales
 with only a few points should be avoided, almost
 always.  If there is no
 gap in the scores, you almost always do better by using the
 original
 numbers.
 Using ranks as an intermediate step in computing some
 logistic solution ,
 on the other hand, can be sensible and powerful.

 This example does have a 10-point scale with a huge
 (unexplained) gap.
 (Why?)
 Instead of the Spearman:  The Crosstabs procedure
 provides the Mantel
 statistic, which cleverly treats the categories as if they
 were coded
 without a gap.


 WHY is there a multiple-point gap in q2?  Should q2 be
 treated, for purposes
 of inference, as two questions -- (0 vs. other) and (points,
 for the
 non-zero)?
 Alternatively:  Should the 0 be recoded to be
 contiguous?

 Whatever you do, keep in mind that correlations generated by
 2-point items
 are not "robust" when compared to those from 3-point or
 4-point items.  That
 is
 to say:  a Spearman or Pearson of 0.40 (say) on a
 dichotomy might reflect an
 underlying
 relation that is stronger than the parallel measure of 0.45
 for a 4-point
 item,

 --
 Rich Ulrich



 --
 View this message in context: http://spssx-discussion.1045642.n5.nabble.com/question-about-associations-between-variables-missing-response-categories-tp5725206p5725253.html
 Sent from the SPSSX Discussion mailing list archive at
 Nabble.com.

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 [hidden email]
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 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: question about associations between variables missing response categories

Caroline Wilson
In reply to this post by Rich Ulrich
Rich, in response to your question about why there is such a large gap in q2: I'm not sure there was a reason other than simply that respondents just did not select those other values when completing the survey.

--------------------------------------------
On Thu, 4/3/14, Rich Ulrich <[hidden email]> wrote:

 Subject: Re: question about associations between variables missing              response categories
 To: [hidden email]
 Date: Thursday, April 3, 2014, 4:31 PM

 [posting: third try, this time
 through Nabble]
 Here is a general rule: simple rank
 transformation/statistics on rating
 scales
 with only a few points should be avoided, almost
 always.  If there is no
 gap in the scores, you almost always do better by using the
 original
 numbers.
 Using ranks as an intermediate step in computing some
 logistic solution ,
 on the other hand, can be sensible and powerful.

 This example does have a 10-point scale with a huge
 (unexplained) gap.
 (Why?)
 Instead of the Spearman:  The Crosstabs procedure
 provides the Mantel
 statistic, which cleverly treats the categories as if they
 were coded
 without a gap.


 WHY is there a multiple-point gap in q2?  Should q2 be
 treated, for purposes
 of inference, as two questions -- (0 vs. other) and (points,
 for the
 non-zero)?
 Alternatively:  Should the 0 be recoded to be
 contiguous?

 Whatever you do, keep in mind that correlations generated by
 2-point items
 are not "robust" when compared to those from 3-point or
 4-point items.  That
 is
 to say:  a Spearman or Pearson of 0.40 (say) on a
 dichotomy might reflect an
 underlying
 relation that is stronger than the parallel measure of 0.45
 for a 4-point
 item,

 --
 Rich Ulrich



 --
 View this message in context: http://spssx-discussion.1045642.n5.nabble.com/question-about-associations-between-variables-missing-response-categories-tp5725206p5725253.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: question about associations between variables missing response categories

Art Kendall
How many respondents do you have?
What are the value labels for the responses?
Art Kendall
Social Research Consultants
On 4/3/2014 5:06 PM, Caroline Wilson [via SPSSX Discussion] wrote:
Rich, in response to your question about why there is such a large gap in q2: I'm not sure there was a reason other than simply that respondents just did not select those other values when completing the survey.

--------------------------------------------
On Thu, 4/3/14, Rich Ulrich <[hidden email]> wrote:

 Subject: Re: question about associations between variables missing              response categories
 To: [hidden email]
 Date: Thursday, April 3, 2014, 4:31 PM

 [posting: third try, this time
 through Nabble]
 Here is a general rule: simple rank
 transformation/statistics on rating
 scales
 with only a few points should be avoided, almost
 always.  If there is no
 gap in the scores, you almost always do better by using the
 original
 numbers.
 Using ranks as an intermediate step in computing some
 logistic solution ,
 on the other hand, can be sensible and powerful.

 This example does have a 10-point scale with a huge
 (unexplained) gap.
 (Why?)
 Instead of the Spearman:  The Crosstabs procedure
 provides the Mantel
 statistic, which cleverly treats the categories as if they
 were coded
 without a gap.


 WHY is there a multiple-point gap in q2?  Should q2 be
 treated, for purposes
 of inference, as two questions -- (0 vs. other) and (points,
 for the
 non-zero)?
 Alternatively:  Should the 0 be recoded to be
 contiguous?

 Whatever you do, keep in mind that correlations generated by
 2-point items
 are not "robust" when compared to those from 3-point or
 4-point items.  That
 is
 to say:  a Spearman or Pearson of 0.40 (say) on a
 dichotomy might reflect an
 underlying
 relation that is stronger than the parallel measure of 0.45
 for a 4-point
 item,

 --
 Rich Ulrich



 --
 View this message in context: http://spssx-discussion.1045642.n5.nabble.com/question-about-associations-between-variables-missing-response-categories-tp5725206p5725253.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
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 command
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To unsubscribe from SPSSX Discussion, click here.
NAML

Art Kendall
Social Research Consultants
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Re: question about associations between variables missing response categories

Caroline Wilson
Hi Art - there are 75 respondents. For q2, the 0-10 relates to degree of effort. For the other questions, the value labels are definitely disagree, somewhat disagree, somewhat agree, definitely agree.
--------------------------------------------
On Thu, 4/3/14, Art Kendall <[hidden email]> wrote:

 Subject: Re: question about associations between variables missing              response categories
 To: [hidden email]
 Date: Thursday, April 3, 2014, 5:35 PM







     How many respondents do
         you have?

         What are the value labels for the responses?


       Art Kendall
 Social Research Consultants
       On 4/3/2014 5:06 PM, Caroline Wilson [via SPSSX
 Discussion] wrote:


      Rich, in response to your question about why
 there is
       such a large gap in q2: I'm not sure there was a
 reason other than
       simply that respondents just did not select those
 other values
       when completing the survey.




       --------------------------------------------


       On Thu, 4/3/14, Rich Ulrich <[hidden email]>
       wrote:




        Subject: Re: question about associations between
 variables
       missing
  response categories


        To: [hidden email]


        Date: Thursday, April 3, 2014, 4:31 PM




        [posting: third try, this time


        through Nabble]


        Here is a general rule: simple rank


        transformation/statistics on rating


        scales


        with only a few points should be avoided, almost


        always.  If there is no


        gap in the scores, you almost always do better
 by using the


        original


        numbers.


        Using ranks as an intermediate step in computing
 some


        logistic solution ,


        on the other hand, can be sensible and powerful.




        This example does have a 10-point scale with a
 huge


        (unexplained) gap.


        (Why?)


        Instead of the Spearman:  The Crosstabs
 procedure


        provides the Mantel


        statistic, which cleverly treats the categories
 as if they


        were coded


        without a gap.






        WHY is there a multiple-point gap in q2?
  Should q2 be


        treated, for purposes


        of inference, as two questions -- (0 vs. other)
 and (points,


        for the


        non-zero)?


        Alternatively:  Should the 0 be recoded to
 be


        contiguous?




        Whatever you do, keep in mind that correlations
 generated by


        2-point items


        are not "robust" when compared to
 those from 3-point or


        4-point items.  That


        is


        to say:  a Spearman or Pearson of 0.40
 (say) on a


        dichotomy might reflect an


        underlying


        relation that is stronger than the parallel
 measure of 0.45


        for a 4-point


        item,




        --


        Rich Ulrich








        --


        View this message in context: http://spssx-discussion.1045642.n5.nabble.com/question-about-associations-between-variables-missing-response-categories-tp5725206p5725253.html

        Sent from the SPSSX Discussion mailing list
 archive at


        Nabble.com.




        =====================


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        For a list of commands to manage subscriptions,
 send the


        command


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       =====================


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           message will be added to the discussion
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         To start a new topic under SPSSX Discussion, email
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         NAML










                                 Art Kendall
 Social Research Consultants


 View this message in context: Re:
 question about associations between variables missing
 response categories
 Sent from the SPSSX
 Discussion mailing list archive at
 Nabble.com.

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Re: question about associations between variables missing response categories

Art Kendall
given the other responses and the context does it make sense that those respondents would put not effort into something, e.g., that they do not do whatever the effort is applied to?
Is it possible that the question stem was ambiguous?
Art Kendall
Social Research Consultants
On 4/3/2014 5:47 PM, Caroline Wilson [via SPSSX Discussion] wrote:
Hi Art - there are 75 respondents. For q2, the 0-10 relates to degree of effort. For the other questions, the value labels are definitely disagree, somewhat disagree, somewhat agree, definitely agree.
--------------------------------------------
On Thu, 4/3/14, Art Kendall <[hidden email]> wrote:

 Subject: Re: question about associations between variables missing              response categories
 To: [hidden email]
 Date: Thursday, April 3, 2014, 5:35 PM







     How many respondents do
         you have?

         What are the value labels for the responses?


       Art Kendall
 Social Research Consultants
       On 4/3/2014 5:06 PM, Caroline Wilson [via SPSSX
 Discussion] wrote:


      Rich, in response to your question about why
 there is
       such a large gap in q2: I'm not sure there was a
 reason other than
       simply that respondents just did not select those
 other values
       when completing the survey.




       --------------------------------------------


       On Thu, 4/3/14, Rich Ulrich <[hidden email]>
       wrote:




        Subject: Re: question about associations between
 variables
       missing
  response categories


        To: [hidden email]


        Date: Thursday, April 3, 2014, 4:31 PM




        [posting: third try, this time


        through Nabble]


        Here is a general rule: simple rank


        transformation/statistics on rating


        scales


        with only a few points should be avoided, almost


        always.  If there is no


        gap in the scores, you almost always do better
 by using the


        original


        numbers.


        Using ranks as an intermediate step in computing
 some


        logistic solution ,


        on the other hand, can be sensible and powerful.




        This example does have a 10-point scale with a
 huge


        (unexplained) gap.


        (Why?)


        Instead of the Spearman:  The Crosstabs
 procedure


        provides the Mantel


        statistic, which cleverly treats the categories
 as if they


        were coded


        without a gap.






        WHY is there a multiple-point gap in q2?
  Should q2 be


        treated, for purposes


        of inference, as two questions -- (0 vs. other)
 and (points,


        for the


        non-zero)?


        Alternatively:  Should the 0 be recoded to
 be


        contiguous?




        Whatever you do, keep in mind that correlations
 generated by


        2-point items


        are not "robust" when compared to
 those from 3-point or


        4-point items.  That


        is


        to say:  a Spearman or Pearson of 0.40
 (say) on a


        dichotomy might reflect an


        underlying


        relation that is stronger than the parallel
 measure of 0.45


        for a 4-point


        item,




        --


        Rich Ulrich








        --


        View this message in context: http://spssx-discussion.1045642.n5.nabble.com/question-about-associations-between-variables-missing-response-categories-tp5725206p5725253.html

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                                 Art Kendall
 Social Research Consultants


 View this message in context: Re:
 question about associations between variables missing
 response categories
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Art Kendall
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Re: question about associations between variables missing response categories

Caroline Wilson
I think a value of 0 on the 0-10 scale could mean "no effort." there are only 2 respondents who selected 0.
It is possible that q2 was not an entirely clear question.
thanks!
--------------------------------------------
On Thu, 4/3/14, Art Kendall <[hidden email]> wrote:

 Subject: Re: question about associations between variables missing              response categories
 To: [hidden email]
 Date: Thursday, April 3, 2014, 6:11 PM







     given the other responses
         and the context does it make sense that those
 respondents would
         put not effort into something, e.g., that they do
 not do
         whatever the effort is applied to?

         Is it possible that the question stem was
 ambiguous?


       Art Kendall
 Social Research Consultants
       On 4/3/2014 5:47 PM, Caroline Wilson [via SPSSX
 Discussion] wrote:


      Hi Art - there are 75 respondents. For q2, the
 0-10
       relates to degree of effort. For the other questions,
 the value
       labels are definitely disagree, somewhat disagree,
 somewhat agree,
       definitely agree.


       --------------------------------------------


       On Thu, 4/3/14, Art Kendall <[hidden email]>
       wrote:




        Subject: Re: question about associations between
 variables
       missing
  response categories


        To: [hidden email]


        Date: Thursday, April 3, 2014, 5:35 PM
















            How many respondents do


                you have?




                What are the value
 labels for the responses?






              Art Kendall


        Social Research Consultants


              On 4/3/2014 5:06 PM,
 Caroline Wilson [via SPSSX


        Discussion] wrote:






             Rich, in response to your
 question about why


        there is


              such a large gap in q2:
 I'm not sure there was a


        reason other than


              simply that respondents
 just did not select those


        other values


              when completing the survey.











  --------------------------------------------






              On Thu, 4/3/14, Rich Ulrich
 <[hidden email]>


              wrote:










               Subject: Re: question
 about associations between


        variables


              missing


         response categories






               To: [hidden email]






               Date: Thursday, April 3,
 2014, 4:31 PM










               [posting: third try, this
 time






               through Nabble]






               Here is a general rule:
 simple rank






               transformation/statistics
 on rating






               scales






               with only a few points
 should be avoided, almost






               always.  If there is
 no






               gap in the scores, you
 almost always do better


        by using the






               original






               numbers.






               Using ranks as an
 intermediate step in computing


        some






               logistic solution ,






               on the other hand, can be
 sensible and powerful.










               This example does have a
 10-point scale with a


        huge






               (unexplained) gap.






               (Why?)






               Instead of the Spearman:
  The Crosstabs


        procedure






               provides the Mantel






               statistic, which cleverly
 treats the categories


        as if they






               were coded






               without a gap.














               WHY is there a
 multiple-point gap in q2?


         Should q2 be






               treated, for purposes






               of inference, as two
 questions -- (0 vs. other)


        and (points,






               for the






               non-zero)?






               Alternatively:
  Should the 0 be recoded to


        be






               contiguous?










               Whatever you do, keep in
 mind that correlations


        generated by






               2-point items






               are not "robust"
 when compared to


        those from 3-point or






               4-point items.  That






               is






               to say:  a Spearman
 or Pearson of 0.40


        (say) on a






               dichotomy might reflect an






               underlying






               relation that is stronger
 than the parallel


        measure of 0.45






               for a 4-point






               item,










               --






               Rich Ulrich


















               --






               View this message in
 context: http://spssx-discussion.1045642.n5.nabble.com/question-about-associations-between-variables-missing-response-categories-tp5725206p5725253.html



               Sent from the SPSSX
 Discussion mailing list


        archive at






               Nabble.com.










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    Art Kendall


        Social Research Consultants






        View this message in context: Re:


        question about associations between variables
 missing


        response categories


        Sent from the SPSSX


        Discussion mailing list archive at


        Nabble.com.




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                                 Art Kendall
 Social Research Consultants


 View this message in context: Re:
 question about associations between variables missing
 response categories
 Sent from the SPSSX
 Discussion mailing list archive at
 Nabble.com.

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