Discriminant Analysis is a very important tool in SPSS that works in the lines of regression
and helps in predicting outcome. The function involves making of a linear
equation like regression, with sets of independent variables that will predict
the outcome of the dependent variable.
For instance,
the credit rating (CR) of a bank customer, in other words, his capacity of
defaulting on a loan will depend on the following independent variables:
·
Income
·
Debt to income ratio
·
Credit card debt
·
Other debts
·
Instances of previous defaults
·
Years with current employer, etc.
The general
form of equation is:
D= a + vX1
+ vX2+ vX3 +....
Where
D= Discriminant function
a= constant
v= the discriminant coefficient or weight for that
variable
Xn= the independent variables (like in the
above bank loan example)
The aim of
the statistical analysis in this type of analysis is to combine (weight) the
variable scores in some way so that a single new composite variable, the
discriminant score, is produced. Based on this score, one can predict how (as
in the above case) liable is the next customer to make a loan default.
Applications of Discriminant Analysis in
Marketing
Market
Segmentation
This
technique is extensively used for market segmentation by predicting a group
membership and its ability to classify objects into two uniquely defined
classifications. Based on the discriminant score one can predict to which group
(a purchaser of the manufacturer’s brand or a competitive brand) the particular
individual belongs.
The
discriminant weights of each predictive variable (age, sex, income, etc)
indicate the relative importance of each variable. For instance, if age has a low discriminant
weight then it is less important than the other variables.
Product
research
Discriminant Analysis
can be used to distinguish between heavy, medium, and light users of a product
in terms of their consumption habits and lifestyles
Perception/Image
research
To distinguish
between groups of customers who exhibit favourable perceptions of a store or
company and those who do not. Further it can be extended to predict which
future customer will show a favourable response to the product displayed in the
store.
Advertising
research
To identify
how different market segments differ in media consumption habits
Direct
marketing
To identify
the characteristics of consumers who will respond to a direct marketing
campaign and those who will not
--
Neeraj Gandhi
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