HTests
for main effects
åFixed
effects:
íNull
Hypothesis:
Ho : m1.
= m2. =
É = ma.
Ho : m1.
= m2. =
É = ma.i.e. drug type (factor A) has
no effect on mean responseíNull
Hypothesis:
Ho : m.1 = m.2 =
É = m.a
Ho : m.1 = m.2 =
É = m.ai.e. drug dose (factor B) has
no effect on mean responseåRandom
effects:
íNull
Hypothesis:
Ho : sA2 =
0
Ho : sA2 =
0 i.e. there is no extra
variance caused by drug type (factor A)íNull
Hypothesis:
Ho : sB2 =
0
Ho : sB2 =
0 i.e. there is no extra
variance caused by drug dose (factor B)HTests
for interactions
åNull
Hypothesis:Ho: mij + m..
- mi. -
m.j = 0 for all i,j
Ho: mij + m..
- mi. -
m.j = 0 for all i,j Each
level of factor A affects all levels of B in a similar manner and vice versa. i.e.
Drug dose has the same effect regardless of drug type.åAlternative:
Ha: mij + m..
- mi. -
m.j 0 for some i,j
i.e. Drug dose 2 has twice the effect
for drug type 3 than for drug type 5HF-Statistic
ˆ used to test for main effects and
interactions