Question

Answer the following questions based on the summary table below

Source |
SS |
df |
MS |
F |

Subjects | 850 | 13 | ||

Time | 204 | 2 | 102 | 3.4 |

Error | 780 | 26 | 30 |

1. How many people were in the study?

2. How many times was the dependent variable measured in each person?

3. What should be concluded about the effect of time on the dependent variable? Justify your answer by providing the appropriate critical value, assuming alpha = 0.05.

Answer #1

1. The total degree of freedom (df) is 13 +2 +26 = 41

Then total number of observations are 41+1 = 42.

2. There are 3 times were measured in each person. Because the df of the factor time is 2.

3. If observed F = 3.4 > F_{0.05; 2,26} we conclude
that there is a significant difference among the times. Otherwise
we say time doesn't differ significantly.

Now F_{0.05;2,26} = 3.37 so ,

Observed F > tabulated F

So, we can conclude that there is a significant difference among times.

1. Complete the ANOVA summary table and answer the questions
that follow.
Source SS
df MS F
A 127.44 2
B .222
1
A X B 110.778
2
Within 166.00 12
Total
404.444 17
What are the F critical values for A effect, B effect, and the
interaction?
Which effects are significant? Write the results
statistically.

Consider the partially completed one-way ANOVA summary
table.
Source
SS
df
MS
F
Treatment
150
Error
17
Total
840
21
Using α = 0.05, the critical F-score for this ANOVA procedure
is ________.

6. (36 pts) The following is an incomplete
ANOVA summary table:
Source
df
SS
MS
F
Among Groups
3
63
Within Groups
16
97
Total
(a) Complete the ANOVA summary table.
(b) Determine the number of groups.
(b) At the α = 0.05 level of significance, determine whether
there is evidence of difference in the population means.

Fill in the rest of the table below and calculate F.
Source
SS
DF
MS
F
Between
2
35
Within
30
16
Total
100
Would the result above be significant if the critical value was
2.75?
What would eta2 be in the example above?

Consider the following table:
Source
SS
DF
MS
Test Statistic
Regression
??
3
2.29
Error
4766.5
Total
8040.34
13
Copy Data
Step 1 of 9:
Calculate the Sum of Squared Regression. Round your answer to
two decimal places, if necessary.
Consider the following table:
Source
SS
DF
MS
Test Statistic
Regression
3
2.29
Error
4766.5
??
Total
8040.34
13
Copy Data
Step 2 of 9:
Calculate the Degrees of Freedom among Error.
Consider the...

Complete the ANOVA
summary table below. In addition, answer the following questions
for the ANOVA summary table.
a. What is the
factorial notation?
b. How many conditions
were in the study?
c. How many subjects
were in the study?
d. Identify
significant main effects and interaction effects.
Source
df SS MS F
A 2 40
B 3 60
A x B 6 150
Error 72
Total 83 400

Use the table below to answer the following questions.
Source
df
SS
MS
A
1
136
1.36
B
1
0.622
0.622
A*B
1
22.405
22.405
Error
132
143.948
1.091
Total
135
168.335
x
a) How many levels are there for factor A?
b) How many levels are there for factor B?
c) At ?=0.05α=0.05, is there evidence of a treatment
effect?
(Write step 1 exactly as it appears in the formula packet)
1. ?0H0 : vs ??Ha :
2. ?α =...

3. Refer to the following ANOVA Summary Table
to answer the questions listed below it.
SOURCE
SS
df
MS
F
Between
23.57
3
.
Within
24
.95
Total
46.43
Answer each of these questions concerning this ANOVA
Summary Table:
What is SS within?
Your Answer:
.
What is MS between?
Your Answer:
.
What is df total?
Your Answer:
.
What is the observed...

Consider the partially completed ANOVA summary table below.
Complete parts a through d below. Source df SS MS F Regression 1
700 Residual Total 9 1000
a. Complete the remaining entries in the table. Source df SS MS
F Regression 1 700 nothing nothing Residual nothing nothing nothing
Total 9 1000 (Type integers or decimals rounded to two decimal
places as needed.)
b. How many ordered pairs are in this sample?
c. Calculate the sample coefficient of determination.
d. Using...

The results of a one-way ANOVA are reported below.
Source of variation
SS
df
MS
F
Between groups
7.18
3
2.39
21.73
Within groups
48.07
453
0.11
Total
55.25
456
How many treatments are there in the study?
What is the total sample size?
What is the critical value of F if p = 0.05?
Write out the null hypothesis and the alternate
hypothesis.
What is your decision regarding the null hypothesis?
Can we conclude any of the treatment means...

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