18 Questions
What is the total variance (SSTotal) in a two-way ANOVA?
The variability of each child's score around the grand mean, ignoring group membership
What does the between-treatment variability (SSbetween treatment) represent in a two-way ANOVA?
The variability of the cell means around the grand mean
What is represented by SSinteraction in a two-way ANOVA?
The remaining variability after accounting for gender and class effects
What is an assumption of homogeneity of variance in a two-way ANOVA?
The assumption that the variance of each group is equal
What is typically presented in a two-way ANOVA summary table?
The sums of squares for each factor and interaction
In a two-way ANOVA, what does the grand mean represent?
The overall mean of all observations
What is the residual variance consists of?
The variance left after accounting for the interaction and main effects of IV1 and IV2
What is the effect on the SSerror when extra factors and interaction terms are added to the analysis?
It shrinks the SSerror
What is the purpose of checking for homogeneity of variance?
To determine if the groups have similar variances
What does a two-way ANOVA summary table typically include?
The main effects of IV1 and IV2, and their interaction
What type of effect is represented by non-parallel lines in a graph?
Interaction between IV1 and IV2
What can be concluded if the p-value in a homogeneity of variance test is greater than 0.05?
The groups have similar variances
What is the primary advantage of using factorial ANOVA over one-way ANOVA?
It enables the evaluation of the effect of multiple independent variables.
What is the term for the variation in the dependent variable that can be attributed to the different levels of the independent variables?
Between-treatment Variability
What is the term for the situation where the effect of one independent variable on the dependent variable depends on the level of another independent variable?
Interaction Effect
What is the assumption that must be met for the validity of a two-way ANOVA?
Homogeneity of Variance
What is the purpose of a two-way ANOVA summary table?
To summarize the results of a two-way ANOVA, including the main effects and interaction effects
What is the term for an ANOVA where four independent variables have been manipulated?
Four-way ANOVA
This quiz is based on a dataset of maths performance scores, exploring the sources of variance and ANOVA analysis. It covers concepts such as total variability, variability between groups, and variability within groups.
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