9.
The
following
values
are
from
an
independent-mea-
10.
11
.
12.
sures
study
comparing
three
treatment
conditions.
Treatment
[
Il
1}
n=10
n=10
n
=10
S§
=063
§§=66
SS=287
a.
Compute
the
variance
for
each
sample.
b.
Compute
MS_
.,
which
would
be
the
denomina-
tor
of
the
F-ratio
for
an
ANOVA.
Because
the
samples
are
all
the
same
size,
you
should
find
that
MS.,
...
18
€qual
to
the
average
of
the
three
sample
variances.
A
researcher
conducts
an
experiment
comparing
four
treatment
conditions
with
a
separate
sample
of
n
=
6
in
each
treatment.
An
ANOVA
is
used
to
evaluate
the
data,
and
the
results
of
the
ANOVA
are
presented
in
the
following
table.
Complete
all
missing
values
in
the
table.
Hint:
Begin
with
the
values
in
the
df
column.
Source
Ss
df
MS
Between
treatments
F
=
Within
treatments
2
Total
58
The
following
summary
table
presents
the
results
from
an
ANOVA
comparing
four
treatment
conditions
with
n
=
10
participants
in
each
condition.
Complete
all
missing
values.
(Hint:
Start
with
the
df
column.)
Source
SS
df
MS
Between
treatments
10
F=__
Within
treatments
Total
174
A
developmental
psychologist
is
examining
the
devel-
opment
of
language
skills
from
age
2
to
age
4.
Three
different
groups
of
children
are
obtained,
one
for
each
age,
with
n
=
18
children
in
each
group.
Each
child
is
given
a
language-skills
assessment
test.
The
resulting
data
were
analyzed
with
an
ANOVA
to
test
for
mean
differences
between
age
groups.
The
results
of
the
ANOVA
are
presented
in
the
following
table.
Fill
in
all
missing
values.
Source
SS
df
MS
Between
treatments
48
F=
Within
treatments
Total
252
PROBLEMS
13.
The
following
data
were
obtained
from
an
indepen-
14.
15.
16.
17.
dent-measures
research
study
comparing
three
treat-
ment
conditions.
Use
an
ANOVA
with
a
=
.05
to
determine
whether
there
are
any
significant
mean
differences
among
the
treatments.
Treatment
NN
=
O
W=
-
WO
WL
W
N
I
S
I
R
L
SRRV
S
N
The
following
data
were
obtained
from
an
indepen-
dent-measures
research
study
comparing
three
treat-
ment
conditions.
Use
an
ANOVA
with
«
=
.05
to
determine
whether
there
are
any
significant
mean
differences
among
the
treatments.
Treatment
|
1l
I}
n=38
n==6
n=4
N=18
T=16
T=24
=32
G=172
S§=40
SS=24
SS=16
32X*
=464
A
research
study
comparing
three
treatment
conditions
produces
T =
20
with
n
=
4
for
the
first
treatment,
T
=
10
with
n
=
5
for
the
second
treatment,
and
T
=
30
with
n
=
6
for
the
third
treatment.
Calculate
SS
for
these
data.
between
treatments
Several
factors
influence
the
size
of
the
F-ratio.
For
each
of
the
following,
indicate
whether
it
would
influ-
ence
the
numerator
or
the
denominator
of
the
F-ratio,
and
indicate
whether
the size
of
the
F-ratio
would
increase
or
decrease.
a.
Increase
the
differences
between
the
sample
means.
b.
Increase
the
sample
variances.
A
researcher
used
ANOVA
and
computed
an
F-ratio
for
the
following
data.
Treatments
|
1l
1
n=10
n
=10
n=10
M
=20
M
=28
M
=35
S§§
=105
S§=191
SS
=180
409
