Wilkinson expression compiler ?

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Wilkinson expression compiler ?

statistician express models using the Wilkinson notation: y ~ x + a*b + c:d
which originates from Symbolic Description of Factorial Models for Analysis
of Variance , G. N. Wilkinson and C. E. Rogers , 1973, DOI 10.2307/2346786

Basically, the task is to translate a column list into a number of generator
terms. Does anybody have a working translator between such notation and a
set of vectors indicating how to mix columns to create the regression matrix



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