Simple T-test/F-test question.

Hello, I am trying to perform a T-test to do a test of the null
hypothesis that the means of normally distributed populations are
equal. However, as far as I know, the T-test will only test 2
different populations. However I need to do the test with four
different populations.

Someone told me that in order to test for more than 2 populations I
will need to to an F-test. However reading about the F-test I found it
is tests the *variance* of two populations. Is there a way to make a T-
test for the 4 populations within them or do I need to make a ttest
for A-B, A-C, A-D, B-C,B-D, D-C in order to see that all the
populations are different?.

Thank you!

.

Relevant Pages

  • Re: Not sure how to approach this. (did stats 15 years ago)
    ... > Given, say, two populations of data points with a roughly normal ... > understand, t-test assumes equal variances, which is not necessarily true ... The variances are not horribly different, ... An overall ANOVA tests whether the variation among ...
    (sci.stat.math)
  • Re: Question about T-Test and Size of Samples
    ... the two sets were drawn from populations with different means. ... plots show that, with ~5 points, my data kind of look normal ... ... able to use a T-Test to draw a conclusion about my population means? ... normality than people often realize. ...
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  • Re: Simple T-test/F-test question.
    ... :> hypothesis that the means of normally distributed populations are ... However, as far as I know, the T-test will only test 2 ... :(ANOVA) F-test. ... Your reading was about a different F-test. ...
    (sci.stat.math)
  • Re: Simple T-test/F-test question.
    ... hypothesis that the means of normally distributed populations are ... However reading about the F-test I found it ... is that variation larger ... "City A, City B, City C, City D" then go with the F-test as described ...
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  • Re: Simple T-test/F-test question.
    ... hypothesis that the means of normally distributed populations are ... However reading about the F-test I found it ... Your reading was about a different F-test. ... Here are some very readable introductions to one-way ANOVA that you might find helpful. ...
    (sci.stat.math)