Chapter 12 Flashcards
Formula for variance
Sd squared
What is ANOVA used for
examine differences in sample means amoung 3 or more groups
ANOVA tests the relationship significance between
an independent variable with at least 3 categories (of nominal or ordinal display) and a dependent variable (of interval-ration display)
ANOVA question
are the differences between the sample large enough to reject the null hypothesis
State the null hypothesis for ANOVA
H0: U1=U2-U3…
If the null hypothesis for ANOVA is true
the sample mean should be close to the same value
If the null hypothesis is false
there should be a huge difference in sample means
What is the ANOVA test statistic called
F ratio
What does the F ratio represent
Estimate of the amount of variation between
categories of the independent variable
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Estimate of the amount of variation within each of the categories of the independent variable
SST and what it means
total sum of squares
the grand mean
SSW
Sum of squares within
SSB
sum of squares between
SST
total variation of the scores
Why do we standardize the cases and how
because the number of cases may not be equal
It’s done by dividing SSW and SSB by their corresponding degrees of freedom
What does a high F ratio mean
we are more likely to reject the null hypothesis