# PSYC 3000 Lecture Notes - Lecture 3: Explained Variation, Analysis Of Variance, F-Test

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School
Department
Course PSYC 3000
Jan 14
ANOVA
-generalization of the t test
-can have more than two groups
-variable must still be interval or better
Strategy of t test
-an anova with only two groups, it is basically a t test
-s pooled is characterising unexplained variation within a group
-numerator measures explained variation between groups
-variation between groups is caused by a successful treatment
Between variability
-we use the variance of all the groups
-if the means are all very separate and the variance will be big
-once anova is completed and a difference between groups is notice, then t tests are used
Value of F
-if I take variance of means and multiply it by sample it turns into estimate of population variance
-both numerator and denominator are estimates of population variance. So they should be the same if
the null hypothesis is true. Hence, F = 1 if Ho is true.
-in assignment 4. The ANOVA test should reveal that the null hypothesis is false. So further testing must
be done to find out which groups are significantly different.
-F needs to have a critical point in which we can have limits of accepting the null hypothesis
-critical point is usually at 5%.
-F test is always one tailed.
ANova calculations table
-between groups is the numerator
-within is denominator
-mean square is anova speak for variance
-read slide 43 of week 15 to know how to report anova in assignment
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