Logic of ANOVA
The calculations of ANOVA can be characterized as computing a number of means and variances, dividing two variances and comparing the ratio to a handbook value to determine statistical significance. Calculating a treatment effect is then trivial, "the effect of any treatment is estimated by taking the difference between the mean of the observations which receive the treatment and the general mean."
Read more about this topic: Analysis Of Variance
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“The logic of worldly success rests on a fallacy: the strange error that our perfection depends on the thoughts and opinions and applause of other men! A weird life it is, indeed, to be living always in somebody else’s imagination, as if that were the only place in which one could at last become real!”
—Thomas Merton (1915–1968)
“Though living is a dreadful thing
And a dreadful thing is it
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And what serves, on the final bank,
Our logic and our wit?”
—Philip Larkin (1922–1986)