Exam 3 Flashcards
When to use ANOVA
- Comparing >2 groups
- Seeing if group means differ from one another
ANOVA Assumptions
- Data are normally distributed
- Data are independent
- Groups have constant variance
What is a Simple/One Way Analysis of Variance?
- Two variables: One categorical, one quantitative
- The variable has MORE THAN TWO LEVELS
What is Categorical Data?
Types of data which can be divided into fixed groups (eg. age groups, educational level, etc.)
What is Quantitative Data?
Data expressed in a quantity/amount/range (eg, meters, years, etc.)
ANOVA/F-Statistic Equation
F = Between Group Variation/Within Group Variation
What is Factorial Design ANOVA?
ANOVA with more than one independent variable
What does a larger obtained F score mean for the test?
Larger F = evidenfce against Ho (Because there is more difference between groups than within groups)
How to find the Degrees of Freedom for ANOVA
Numerator: Number of groups - 1 (k-1)
Denominator: Total number of observations - Number of GROUPS (N-k)
How to report F statistic
F (numerator, denominator)
What is the purpose of Post Hoc comparisons?
To indicate WHICH groups were significantly different from each other
What is the APA format for an ANOVA?
“A one way between subjects ANOVA was conducted to compare the effect of [INDEPENDENT VARIABLE] on [DEPENDENT VARIABLE] in [X], [Y], and [Z] conditions
What is the Effect Size?
The proportion of variance (of the dependent variable) that can be explained by the grouping/independent variable.
Small effect size?
About 0.01
Medium effect size?
About 0.06