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ANOVA (Two-way ANOVA (Output (Descriptive results, ANOVA, Significant vs…
ANOVA
Two-way ANOVA
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A technique involving more than one group of factors
Simplest scenario is a different set of subjects are used for each condition. (between subject design).
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Between-subjects effects & Within-subjects effects: Remember participant is not always the unit of analysis!
One-way ANOVA
Determines whether there are significant differences between 3 or more independent samples for some numerical dependent variable.
Difference between 3 or more groups, conditions
One measure for 3 different or more groups
If the groups are truly independent
For example: Measuring body fat of professional, semi-professional and recreational footballers
Assumptions of the test
- Independent samples compared are random samples
- Dependent variable measured on interval or ratio scale
- Dependent variable normally distributed
- There are similar variances for the dependent variable between the samples being compared
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Post-hoc tests: If the one-way ANOVA test is significant then it is desirable to investigate differences between individual pairs of groups.
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Testing the assumptions
Levene’s test, above 0.05
Report between and within group
F statistic
Sig. = significance value
F = 3,38 =3.4, p = 0.026
Is a collection of data analysis techniques particularly useful when more than one independent variable is included in a design.
More T-tests, more error in complex design
Basic concept:
Comparing variation between treatments or groups but considering the variation within each group or condition
F = variance between treatments/ variance within treatments (F statistic)
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