## Quick Reference

A model in which two (or more) random variables are independent of one another: the value taken by one variable is completely unaffected by the value taken by the other variable. Suppose, for example, that *A*, *B*, and *C* are three categorical random variables, with *p** _{jkl}* denoting the probability of an outcome in cell (

*j, k, l*); then the independence model states that

*p** _{jkl}*=

*p*

_{j00}*p*

_{0k0}

*p*

_{00l},

where . With just two variables, *A* and *B*, the corresponding result would be

*p** _{jk}*=

*p*

_{j0}*p*

_{0k},

where .

*Subjects:*
Probability and Statistics.

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