On 2 Dec 2002 at 19:03, Hugh Foley wrote:

> Your biggest problem is that you used a 4-pt 
> scale. Had you kept the same structure as the original scale, I think 
> that a comparison would have been reasonable. To me, the issue goes 
> beyond the simple assignment of numbers to the scale points (which 
> could be open to challenge, even though everyone does so). With 4 
> points, a respondent cannot choose a mid-point, but is forced to one 
> side or the other. With 5 points, a respondent can choose a neutral 
> response. Thus, I cannot think of a way I could re-scale your data that 
> would allow me to treat the two studies as comparable.

Well, when logic and thought fail to solve the problem, it's time  for an experiment. 
Suppose (this being a thought experiment) someone 
asked subjects to rate various and sundry qualities, only some got to rate using a 
four-point scale, and others a five. Then one could 
examine the data to see what transformations, if any, could bring the means and SDs of 
the two scales into correspondence.  Of 
course, the answer could be none. And, of course, if you're going to go to all the 
trouble of doing the experiment, it might be easier just 
to re-do the original with a 5-point scale. 

The answer to that one is to turn the problem into the deeper one of the general case: 
what transformation will turn a mean derived from 
a scale of x points into a mean from a scale of y points? If I'm following Hugh 
correctly,  he'd predict that means from odd-numbered 
scales could be adjusted to fit means from other odd-numbered scales, and ditto for 
even-numbered scales. But you wouldn't be able to 
turn a mean from an odd scale into a mean from an even scale.

Has no one ever looked into this problem?

Stephen

_______________________________________________________
Stephen L. Black, Ph.D.              tel:  (819) 822-9600 ext 2470
Department of Psychology             fax: (819) 822-9661
Bishop's University                 e-mail:  [EMAIL PROTECTED]
Lennoxville, QC  J1M 1Z7
Canada

Department web page at http://www.ubishops.ca/ccc/div/soc/psy
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