Hi,

Can someone set me straight as to how to write formulas in R to indicate:
        complete independence [A][B][C]
        joint independence [AB][C]
        conditional independence [AC][BC]
        nway interaction [AB][AC][BC]
?

For example, if I have 4 factors: 
hair colour, eye colour, age, sex

does 
        >  mosaicplot( frequency ~ hair + eye + age + sex)

mean that the model fitted is of complete independence of all factors 
[hair][eye][age][sex]?

So does 
        > mosaicplot(frequency ~ hair + eye)
mean that the model is of conditional independence
[hairAgeSex][eyeAgeSex]?


How does the operator *  as in
        > mosaicplot( frequency ~ hair * eye)
or
        > mosaicplot( frequency ~ hair * eye + age)
equate to in the type of independence model used?


Thanks in advance for any elucidation!

Gina

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