In article <[EMAIL PROTECTED]>,
Joseph McDonnell <[EMAIL PROTECTED]> wrote:
>I may be wrong, but I thought that Gerhard was asking something like "If I
>perform a linear regression but with a dichotomous dependent variable, do
>I get 'garbage' results?"
The results must be at least partly garbage. We can
consider the dichotomous variable to be 0 or 1, and,
using expectation, should interpret an answer between
0 and 1 as a probability.
However, what meaning can be given to <0 or >1? The
TRUE "linear regression" does not give the conditional
expected value of the dependent random variable given
the independent random variables, here the probability
of 1, as it does in a linear model..
>Joseph
>Gene Gallagher wrote:
>> In article <[EMAIL PROTECTED]>,
>> Gerhard Luecke <[EMAIL PROTECTED]> wrote:
>> > Can anyone name some references where the problem of using a
>> DICHOTOMOUS
>> > variable as a DEPENDENT variable in an ANOVA is discussed?
>> > Many thanks in advance,
>> > Gerhard Luecke
>> Check out Ramsey & Schaefer's "The Statistical Sleuth." It devotes
>> several chapters to logistic regression. The dichotomous dependent
>> variable in on chapter's case study is "Dead vs. Alive" in the members
>> of the Donner party. They tested the odds of a woman dying vs. a man.
--
This address is for information only. I do not claim that these views
are those of the Statistics Department or of Purdue University.
Herman Rubin, Dept. of Statistics, Purdue Univ., West Lafayette IN47907-1399
[EMAIL PROTECTED] Phone: (765)494-6054 FAX: (765)494-0558
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