Please enable JavaScript.
Coggle requires JavaScript to display documents.
Analysis of Variance, F-Ratio: Variance between treatments = differences…
Analysis of Variance
Terminology:
-
-
-
-
-
Independent measure designs: Studies that use a separate group of participants for each treatment condition.
-
ANOVA Measures, Formulas
-
-
-
-
Sum of all scores 𝜮X, Each treatment condition is identifies by T for treatment total. The total for a specific treatment can be identified by adding a numerical subscript.
-
Analysis Sum of Squares
- Total Sum of Squares: SS total: Between treatments, within treatments.
SS= 𝜮X² - (𝜮X)²
-
SS total = 𝜮X² - G²
-
- Within-Treatment Sum of Squares
-
- Between-Treatment Sum of Squares
-
Hypothesis of ANOVA:
H𝘰: 𝞵₁ = 𝞵₂ = 𝞵₃
Null hypothesis states treatment condition have no effect on performance. The population means for three conditions are all the same.
-
-
Test Statistic ANOVA
t= obtained difference between two samples means
-
F = Variance (differences) between sample means
-
ANOVA: Hypothesis testing procedure to evaluate mean differences between two or more treatments or populations.
-
-
-
-
-
F-Ratio: Variance between treatments = differences including any treatment effects
=
-
-
n
n - N
-