formula (joint, conditional independence, etc.) - mosaicplots

Hi,

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

You might have a look at demo(mosaic) in package vcd.

g.,
-d
?

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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formula (joint, conditional independence, etc.) - mosaicplots

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