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Table 2

Equations of 2-way ANOVA with interaction (Bolla & Krámli 2005, 2012)

Cause of deviationSum of squaresDegree of freedomEmpirical variance
Effect a  k1  
Effect b  p1  
Interaction between a and b  (k1)(p1)  
Random error  kp(n1)  
Cause of deviationSum of squaresDegree of freedomEmpirical variance
Effect a  k1  
Effect b  p1  
Interaction between a and b  (k1)(p1)  
Random error  kp(n1)  

k: number of groups, Effect a; p: number of groups, Effect b; n: sample size in for a given measuring profile, : average of data in Group i for Effect a; : average of data in Group j for Effect b, : average of data for a given measuring profile, : average of all the measured data (k·p·n), : any data in the dataset.

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