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The effect of correlation on the formation of clusters can ... - GreenBook

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Collinearity could be a problem in <strong>the</strong> regressi<strong>on</strong> models, but it’s<br />

not clear how much <str<strong>on</strong>g>of</str<strong>on</strong>g> a problem it would be in <strong>the</strong> formati<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g><br />

<strong>the</strong> segments. SOM is a neural network that makes virtually no<br />

assumpti<strong>on</strong>s about <strong>the</strong> data. While its reliance <strong>on</strong> Euclidean<br />

distances for creating a topological map could make it vulnerable<br />

to collinearity problems, o<strong>the</strong>r available distance measures may<br />

alleviate <strong>the</strong> problem. Methods such as CHAID rely <strong>on</strong> splitting<br />

variables <strong>on</strong>e at a time and hence may not be susceptible to<br />

collinearity problems. However, without a thorough investigati<strong>on</strong>,<br />

it’s impossible to say all <strong>the</strong>se methods are free <str<strong>on</strong>g>of</str<strong>on</strong>g> collinearity<br />

problems, even though it does appear that, in <strong>the</strong>ory, <strong>the</strong> problem<br />

should be less severe than in cluster analysis.<br />

Segmentati<strong>on</strong> by itself is a l<strong>on</strong>g and arduous process<br />

requiring choices to be made based <strong>on</strong> study objectives, type <str<strong>on</strong>g>of</str<strong>on</strong>g><br />

data, analytical method, and guidelines for decisi<strong>on</strong> criteria. It<br />

doesn’t need to be fur<strong>the</strong>r complicated by <strong>the</strong> presence <str<strong>on</strong>g>of</str<strong>on</strong>g><br />

collinearity in <strong>the</strong> data when cluster analysis is used to create <strong>the</strong><br />

segments. While it is true that practical segmentati<strong>on</strong> studies<br />

almost always use more than two variables, I hope <strong>the</strong> informati<strong>on</strong><br />

from this study will lead to a better understanding <str<strong>on</strong>g>of</str<strong>on</strong>g> <strong>the</strong> problems<br />

caused by collinearity and possible soluti<strong>on</strong>s. Of course, this<br />

preliminary effort needs to be expanded in scope to properly<br />

understand <strong>the</strong> role <str<strong>on</strong>g>of</str<strong>on</strong>g> collinearity in segmentati<strong>on</strong> problems.<br />

About <strong>the</strong> Author<br />

Rajan Sambandam is vice president <str<strong>on</strong>g>of</str<strong>on</strong>g> research at <str<strong>on</strong>g>The</str<strong>on</strong>g> Resp<strong>on</strong>se<br />

Center in Fort Washingt<strong>on</strong>, Penn. He may be reached at<br />

rsambandam@resp<strong>on</strong>se-center.com.<br />

Reprinted with permissi<strong>on</strong> from <strong>the</strong> Ameri<strong>can</strong> Marketing Associati<strong>on</strong> (Marketing Research, Vol 15, No. 1, Spring 2003)<br />

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