W2 - One Way ANOVA Flashcards
The first assumption of ANOVA is
Homogeneity of variance: That the variance for each mean is similar. V1=V2=V3
The second assumption of ANOVA is
Normality: normally distributed data
The third assumption of ANOVA is
Independence of observations: each observation is unique
How do we test that means are normally distributed?
Levene’s F test
If F test is significant, what do we do?
The null hypothesis of variance being equal in all populations is rejected
We represent whole populations with ___ letters and subpopulations with ___ letters
Greek, normal
ANOVA provides variance information about 2 things
Variance due to treatment
Variance unrelated to treatment
SStotal refers to
Sum of squares of all observations regardless of treatment
SStreat refers to
Sum of squares of treatment means around the grand mean multiplied by n
SSerror refers to
SStotal -SStreat
df refers to
The total independent pieces of data - at least 1
k refers to
The number of treatment groups
dftreat is
k-1
dferror is
N-k
dftotal is
N-1