On Jan 8, 2010, at 3:26 PM, Richardson, Patrick wrote:

Let's say I have 8 variables and I want to generate all combinations of those variables (In pairs, threes fours, etc) to run in multiple linear regression. Is there a built-in function to do that in R?

The formula syntax allows that.

y ~ (x1 + x2 + x3 + x4 + x5)^2 for instance, would give you all 5 of the main effects and the ten two way interaction estimates. With the "exponent set to three you also get the three way interactions (although I have never tried this particular level of dredging.) Unless you have scientific arguments for higher level interactions, they are a major threat to interpretability and validity as well as a threat to convergence.

(With 8 variables you are going to experience a combinatorial explosion: 28 two-way terms, 56 3-way, 70 4-way and then down the other side of Pascal's triangle.)


Or at a minimum, how could I take those variables and generate all possible combinations.

Thank you for any assistance.

--

David Winsemius, MD
Heritage Laboratories
West Hartford, CT

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