Two-Way ANOVA with Repeated Measures

Results
Calculated from: ANOVA_TwoWay_Repeated_Measures.csv using R.
IV A
  • P-value: 0.0157775
  • F (1, 29) = 6.58
  • Wilks' Lambda: 0.8152
IV B
  • P-value: 0.0002967
  • F (2, 28) = 11.01
  • Wilks' Lambda: 0.5598
Wilks' Lambda for the interaction between IV A and IV B: 0.2289

Written in sentences
IV A had a significant effect on the result; F (1, 29) = 6.58, p < 0.05.
IV B had a significant effect on the result; F (2, 28) = 11.01, p < 0.001.
There was a significant interaction effect between IV A and IV B; F (2, 28) = 47.17, p < 0.001.


Bonferronni-corrected pairwise significance (T-Test)
Within IV A, no pairwise significance was found (p >= 0.05).
Within IV B, pairwise significance was found between Age 15 and Age 10 (p < 0.05).


Test assumptions
Your data must have these characteristics for this test to be valid.
1) The independent variables should have at least two independent categorical groups.
2) Dependent variable is either an interval or a ratio variable.
3) Dependent variable is normally distributed for each category or group of the independent variables.
4) Variances between groups are equal.
Note: the Wilks' Lambda variant was used for this calculation.


Interpreting results: recommended readings
Need a refresher? Start here!
1) Warning Signs in Experimental Design and Interpretation
2) Type I and Type II Errors






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