ANOVAs Flashcards
(39 cards)
Analysis of Variance
Comparison between 2 or more groups
One-way ANOVA
An anova with multiple groups where one factor is being tested
Two-way anova (three way four way etc)
An ANOVA where more than one operational definition or “factor” is being tested
Between subjects ANOVA
An ANOVA where two independent groups are compared
Within subjects ANOVA
An ANOVA with two groups whos data are dependent on each other
n, N, K
n=number of participants in a group
N=number of participants in a study
k=number of groups (levels in a factor, for instance one two or three majors etc)
Quasi-Experimental assignment
An assignment of participants to groups based on a pre-decided factor, “you’re with your group based on this particular aspect”
Experimental Assignment
where all participants are randomly assigned to groups
Between groups variation
How different are people overall in a group from overall another people in another?
Within group variation
How different are people from each other within a particular group in a study
F-Distro
A positively skewed one-tailed-test used to test ANOVAs
F-statistic (F-obtained)
Test Statistic for ANOVA: mean square between groups divided by mean square within groups (error)
(variance between groups (numerator))/(variance within groups(denominator))
F-Statistic Equation
Fobt=MSbg/MSe
Numerator
differences between groups
Denominator
differences within groups (error)
Overall Degrees of Freedom
N-1
Between Groups Degrees of Freedom (Numerator Degrees of Freedom)
number of groups -1, or k-1
Degrees of freedom error (within groups df) (Denominator degrees of freedom)
The overall number of participants - the number of groups N-k
ANOVA assumptions
The data in a population is normally distributed, the data was randomly sampled, one person performing in your study will not affect another person’s performance in your study, the amount of variability that exists within a single group is the same as exists in the other groups being measured
ANOVA (Analysis of Variance)
A statistical method for testing hypotheses about the variance between k≥2 (greater than two group means) (variance in one or more populations is unknown)
Between-persons variation
Variation that cannot be explained by having different groups; variation between individual person means within a single group
Degrees of freedom between groups
The degrees of freedom aligned with the variance of the numerator group means (K-1)
F Distribution
A positively skewed sampling distribution of f-ratios
Fobt (F obtained)
Test statistic for ANOVA