The factorial design of a study of army rankings Private, Commander, General as additional independent variable

Denote the factorial design of a study of army rankings Private,…

 

Denote the factorial design of a study of army rankings Private, Commander, General as additional independent variable.

A)2×2
B) 3×3
C) 2x2x2
D) 3x3x3

How many potential main effects are there in a two by four factorial design?

A) 1
B) 2
C) 3
D) 4

A 2×3 within groups and2x3 factorial designs have different number of what?

A) Needed participants for required power level
B) Main effects to examine
C) Possible potential interaction effects
D) Types of studies available

Please give me the correct option with explanation and explain why other options are incorrect

How do you calculate factorial design?
The number of different treatment groups that we have in any factorial design can easily be determined by multiplying through the number notation. For instance, in our example we have 2 x 2 = 4 groups. In our notational example, we would need 3 x 4 = 12 groups. We can also depict a factorial design in design notation.