Each of the following hypotheses is a different way of saying that a factor or an interaction among factors has no effect on experimental outcomes. This VI assumes that there are no effects and then seeks evidence to contradict these assumptions. The following are the seven hypotheses:
(A) that for all levels p if factor A is fixed, and that if factor A is random.
(B) that for all levels q if factor B is fixed, and that if factor B is random.
(C) that for all levels r if factor C is fixed, and that if factor B is random.
(AB) that for all levels p and q if factors A and B are fixed, and that if either factor A or B is random.
(AC) that for all levels p and q if factors A and C are fixed, and that if either factor A or C is random.
(BC) that for all levels p and q if factors B and C are fixed, and that if either factor B or C is random.
(ABC) that for all levels p, q, and r if factors A, B, and C are fixed, and that if any of factors A, B, or C is random.
for all levels p if factor A is fixed, and that 
if factor A is random.
for all levels q if factor B is fixed, and that 
if factor B is random.
for all levels r if factor C is fixed, and that 
if factor B is random.
for all levels p and q if factors A and B are fixed, and that 
if either factor A or B is random.
for all levels p and q if factors A and C are fixed, and that 
if either factor A or C is random.
for all levels p and q if factors B and C are fixed, and that 
if either factor B or C is random.
for all levels p, q, and r if factors A, B, and C are fixed, and that 
if any of factors A, B, or C is random.