The square of a Student's t with "df" degrees of freedom is an F distribution with 1 and "df" degrees of freedom. hope this helps. spencer graves

Alexander Sirotkin [at Yahoo] wrote:

I have a simple linear model (fitted with lm()) with 2
independant
variables : one categorical and one integer.

When I run summary.lm() on this model, I get a
standard linear
regression summary (in which one categorical variable
has to be
converted into many indicator variables) which looks
like :

           Estimate Std. Error t value Pr(>|t|)
(Intercept)  -3595.3     2767.1  -1.299   0.2005
physicianB     802.0     2289.5   0.350   0.7277
physicianC    4906.8     2419.8   2.028   0.0485 *
severity      7554.4      906.3   8.336 1.12e-10 ***

and when I run summary.aov() I get similar ANOVA table
:


          Df     Sum Sq    Mean Sq F value    Pr(>F)
physician    2  294559803  147279901  3.3557   0.04381
*
severity     1 3049694210 3049694210 69.4864 1.124e-10
***
Residuals   45 1975007569   43889057

What is absolutely unclear to me is how F-value and
Pr(>F) for the
categorical "physician" variable of the summary.aov()
is calculated
from the t-value of the summary.lm() table.

I looked at the summary.aov() source code but still
could not figure
it.

Thanks a lot.

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