For example, when I want to know the effect of coffee and sugar on tasty. I have two kinds of coffee A & B, and two kinds of Sugar a & b. Should I design Aa, Ab, Ba, Bb in experiment or A, B, a, b, Aa, Ab, Ba, Bb in experiment?
Miguel Angel García-Alvarado
A completely random design for your experiment (factorial 2x2) is,
Aa (Coffee A and sugar a).
Ab (Coffee A and sugar b).
Ba (Coffee B and sugar a).
Bb (Coffee B and sugar b).
Each treatment must be done at least by duplicate. And you can perform 1W ANOVA for 4 treatments; or, 2W ANOVA by factors.
A treatment “A” implies coffee “A” without sugar; a treatment “a” implies sugar “a” without coffee.
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Vipul Batra
Indeed Wenyan Xu For example in this case we have two independent variables affecting one outcome-Tasty (sic) or Taste.
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