On Thu, 22 Jun 2000 16:16:55 -0700, sig
<[EMAIL PROTECTED]> wrote:

> I took a sample to determine if users preferred one of 3
> different designs (A, B, and C).  Of the 740 people
> sampled, 300 replied "no preference", 160 preferred
> prototype A, 130 B, and 150 C.
> 
> Is there a significant difference between the protoypes? If
> so, which ones? Which test do I use? How do I handle
> the "no preference" data? I need help.

What are your choices for handling "no preference"?  Unlike the
instance of an equal amount of Missing Data - which would cast extra
doubt on the representativeness of the survey - you do have the
information here, that 40% of the sample don't care.

It seems unlikely to me that you expected there to be 25% of the
responses falling into each category or none, which is one easy thing
to test for.  Maybe, equal across the 3?

A better survey might have asked for strength-of-preference.

Or you might have asked "Are any of these particularly BAD?"

Or, there is a style of Voting, in which you look at the second
preference for each of the 130 B's (since B was the low category).
This is used in some elections in Canada, if I remember right.

-- 
Rich Ulrich, [EMAIL PROTECTED]
http://www.pitt.edu/~wpilib/index.html


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