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Any number of algorithms may be used to estimate utility functions.
These utility functions indicate the perceived value of the feature and how sensitive consumer perceptions and preferences are to changes in product features.
The actual mode of analysis will depend on the design of the task and profiles for respondents.
For full profile tasks, linear regression may be appropriate, for choice based tasks, maximum likelihood estimation, usually with logistic regression are typically used.
The original methods were monotonic analysis of variance or linear programming techniques, but these are largely obsolete in contemporary marketing research practice.

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