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How to Interpret Your Results - Basics
After you click on the Calculate button,
the tables and figures will be automatically filled
in for you. Here's how to interpret them.
1) The first table you see shows your Relative
Importance for each of the five attributes.
These percentages sum to 100%. The greater
the relative importance, the more an attribute
influences your preference for movie theaters.
For example, if your relative importance for
Ticket Price was 40, and your relative importance
for Food was 10, this would imply that Ticket
Price was four times as important as Food in
determining how you ranked the 18 movie theaters.
2) The second table shows the Part-Worth for specific levels of each attribute.
These have been scaled to range from a low of
0 to a high of 1. The greater the part-worth,
the more positively a level of an attribute
influences your preferences. You can compare
part-worths within levels of a given
attribute. For example, if your part-worth
for a $6 ticket was .8, for a $8 ticket was
.7, and for a $10 ticket was .2, you would conclude
that you had a slight preference for a $6 ticket
over a $8 ticket, but that your preference for
either a $6 or an $8 ticket was considerably
greater than for a $10 ticket. Note:
you cannot compare part-worths across
levels of two different attributes.
Thus, you cannot directly compare a part-worth
of .8 for a $6 ticket with a part-worth of .8
for gourmet food and conclude that both are
equally important.
3) Most people find the five plots of part-worths
much easier to interpret than the table of part-worths.
You interpret the part-worths in the figures
exactly the way you interpreted them in the
table.
Advanced Interpretation
One question we like to answer with conjoint analysis
is how much a particular attribute is worth, in
terms of dollars. You can get at this indirectly
in conjoint analysis, by comparing differences in part-worths across Ticket Price and a second
attribute. Remember, we said you can't directly
compare part-worths across levels of two different
attributes. However, you can compare
differences in part-worths across levels
of two different attributes. Here's how it
works.
Look at the difference between your part-worth
for a $6 ticket (say it is .8) and an $8 ticket
(say it is .7). In this example, the
difference is .1. Now, suppose your part-worth
for gourmet snacks is .6 and your part-worth for
plain old hot dogs and popcorn is .4, so that
the difference is equal to .2. This means
that the step up from dogs and popcorn to gourmet
snacks (.2 units) is the same as two times the
difference between a $8 ticket and a $6 ticket
(.1 unit). In dollar terms, you'd be willing
to pay twice the difference between $8 and $6
tickets (i.e., $4) in order to be able to purchase
gourmet snacks instead of hot dogs and popcorn.
You can compare other attributes as well, to get
an idea of how much a good sound system is worth
to you, big seats with cup holders, etc.
Instead of comparing a $6 ticket with an $8 ticket,
you could also compare an $8 ticket with a $10
ticket. Psychologically, the two dollar
gaps between $6 and $8, and between $8 and and
$10, are not necessarily equal, even though both
are two dollar differences. The part-worths
show the psychological difference corresponding
to the dollar difference. In our hypothetical
example, we said the part-worth for a $10 ticket
was only .2. Thus, the difference in part-worths
between $8 and $10 tickets is .5 (.7 minus .2).
This means that the step up from dogs and popcorn
to gourmet snacks (.2 units) is only 40% of the
difference between an $8 ticket and a $10 ticket.
So, if we are comparing the two higher priced
ticket options, gourmet snacks are only worth
40% of $2, or 80 cents; if we are comparing
the two lower priced ticket options, gourmet snacks
are worth two times $2, or $4.
In this hypothetical discussion, the part-worths
for the three levels of ticket price are non-linear.
Identifying such non-linearities in price are
an important objective in conjoint analysis.
We're always on the lookout for the point where
the price becomes so high that consumer interest
drops sharply.
Consider the following for in-class discussion
a. Interpret your pattern of part worths, and
your relative importances. What does it
tell you about your preferences for movie theaters?
b. How might a different number of levels
of attributes have affected your results?
For example, using five price points instead of
three.
c. Can you identify any other attributes,
other than the five used in this exercise, that
are important considerations for you in selecting
a movie theater? How might the inclusion of these
additional attributes have affected your results?
d. Assume we have part worths and relative importances
for all class members. How can this information
be used for market segmentation? For product
development?
e. How well do you think conjoint analysis would
work for designing a movie, compared to
designing a movie theater?
f. Please prepare a one page overhead
showing the plots of your part worths and your
relative importances. (You will need to print,
and then cut/paste/reduce your output to fit).
Bring this to class. I will call on class members
for examples.
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