A factorial experiment has 6 different cells. If you know there ...

[piesebel]

A factorial experiment has 6 different cells. If you know there are two independent variables in the study, what else must be true? There must be _____.
 
  a. two levels of each variable
  b. 4 levels of one variable and three levels of the other
  c. two levels of one variable and three of the other
  d. something wrong with the design

Question 2

In a 2 X 2 X 4 factorial design, how many different combinations of treatments are there?
 
  a. 16 c. 4
  b. 8 d. 3

[cassie_ragen]

Answer to Question 1

C
The number of cells is the product of the levels of the variables. If there are two manipulated variables, there must be more than one level of each. Therefore there must be 2 levels of one and 3 of the other because these are the only 2 numbers greater than one whose product is 6.

Answer to Question 2

A
There are 16 different cells in such an experiment (found by multiplying the numbers together).

[piesebel]

Gracias!

[aliotak]

Thanks for the timely response, appreciate it