Week 4 Simple Between and One-Way ANOVA Flashcards
What is the grand mean?
The mean of all group means
How to calculate within group deviations?
Subject score - group mean
How to calculate between group deviations?
Group mean - grand mean
How to calculate total deviation for a single score
Subject score - grand mean
What is partitioning?
Subdivision of the total deviation. Expressing an individual subjects score as a deviation from the grand mean
How to partition?
subscore - grand mean = (groupmean - grand mean) + (subscore - groupmean)
What are the two components of partitioning?
Between groups deviation (treatment effects) and Within groups deviation (error alone)
What is variance defined as?
v= sum of sq deviations from mean/ degrees of freedom
How is the total sums of squares obtained?
= sum (score - grand mean)2
What are sums of squares?
sum of the squared deviation scores
What must sums of squares be converted to for ANOVA?
mean squares!
How are mean squares calculated?
=SS/df
What are the assumptions of the One-Way ANOVA?
Independence (scores independent)
Normality
Homogeneity of Variance
What are the two types of type 1 error?
Per comparison
Familywise
What is per comparison?
considers probability of making type 1 error to be .05 for each comparison