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Psych 541 Quiz 5 Summer 2017
47 points

1. IfSST
= 56 and
SSB = 14,SSW = _________.

a. 34

b. 6

c. -6

d. 42

2. If dfB = 4 and dfW
= 20, using
alpha = 0.05,Fcrit
= _________.

a. 2.87

b. 3.10

c. 3.74

d. 6.22

3. An investigator conducts
an experiment involving the effects of three levels of a drug on memory.
Subjects are randomly assigned to one of three conditions. A different drug
level is administered in each condition. Memory is measured 10 minutes after
each subject receives the drug. The following scores are recorded. The higher
the score, the better the memory.

Drug Level one two three

6 9 14

5 7 13

8 9 15

2 13 19

After conducting a one-way
ANOVA of the above data, which of the following is the variability among the
group means _________.

a. 6.50

b. 15.5

c. 100.75

d. 201.5

4. Refer to the drug study. After conducting a
one-way ANOVA of the above data, which of the following is the average variance
within each of the three groups.

a. 6.50

b. 15.5

c. 100.75

d. 201.5

5. Refer to
the drug study. After conducting a one-way ANOVA of the above data, which of
the following is the F critical using alpha at .05.

a. 3.63

b. 4.26

c. 5.12

d. 4.46

6. If I
have four groups, and a total of 40 subjects in the entire experiment, how many
within groups degrees of freedom do I have.

a. 39

b. 3

c. 36

d. 28

7. Refer to the drug study. When calculating the
total sum of squares, I utilize the following expression: SStotal = 1460 –
(120)
2/12 which equals 260. The SS between = (21)2/4 +
(38)
2/4 + (61)2/4
– (120)2/12 which
equals 201.5. Based on this information which of the following is the numerator
of the average variance within each group.

a. 1460

b. 201.5

c. 120

d. 58.5

8. Refer
to the drug study. When calculating the total sum of squares, I utilize the
following expression: SStotal = 1460 – (120)
2/12 which equals 260.
The SS between = (21)
2 + (38)2 + (61)2– (120)2/12
which equals
201.5. Based on this
information which of the following is the numerator of the total variance among
all the scores.

a. 1460

b. 201.5

c. 120

d. 260.

9. Refer to the drug study Estimate the size
of the effect.
Using
omega squared.

a. 0.5109

b. 0.6698

c. 1.6633

d. 0.7073

10. Refer to drug study. Estimate the size of the effect using
Cohen’s f.

a. 1.4244

b. 0.6698

c. 1.6633

d. 1.5546

11. (12 points) In the space below conduct
pairwise comparisons using the Tukey, Neuman Keuls, LSD and Bonferroni for the
drug study above. Place the work for each test (show all work) below the label
for each test and be specific when you state you conclusions.

(3 points) Tukey
test (show all work for Tukey below)

(3 points) Neuman
Keuls (show all work for Neuman Keuls below)

( 3 points) LSD
(show all work for LSD below)

(3 points) Bonferroni
(show all work for Bonferroni below)

11.
A sleep researcher conducts an experiment to determine whether sleep loss
affects the ability to maintain sustained attention.
Fifteen individuals are randomly divided into
the following three groups of 5 subjects each: group 1, which gets the normal
amount of sleep (7-8 hours); group 2, which is sleep-deprived for 24 hours;
group 3, which is sleep-deprived for 48 hour. And group 4 which is sleep
deprived for 72 hours.
All four groups
are tested on same auditory vigilance task.

Subjects are presented with half-second tones spaced at irregular
intervals over a 1-hour duration.

Occasionally, one of the tones is slightly shorter than the rest. The subject’s task is to detect the shorter
tones.
The following percentages of
correct detections were observed:

Normal
Sleep-Deprived Sleep-Deprived Sleep Deprived

Sleep for
24 Hours
for 48 Hours for 72 Hours

85 60 60 55

83 58 48 47

76 76 38 27

64 52 47 41

75 63 50 43

After conducting a one way ANOVA, which of the
following is the
SSBetween?

a. 3422.4

b. 2234.4

c. 96.555

d. 1953.3

12. Refer to the sleep
study.
SSW =
_________.

a. 3422.4

b. 2234.4

c. 96.555

d. 1256.4

13. Refer to the sleep study.
Fobt = _________.

a. 20.99

b. 10.99

c. 14.528

d. 3.24

14. Refer to the sleep study.
Based on the F obtained which of the
following below is the amount of variability among the means expected by
chance.

a. 1140.8

b. 78.525

c. 3422

d. 3255

15.Refer to the sleep study.
Using
aplha = 0.05,Fcrit
= _________.

a. 4.33

b. 3.63

c. 2.96

d. 3.24

16. Refer to the sleep
study. Using
alpha = 0.05, what do you conclude?

a. rejectH0;
sleep deprivation
has the same effect on
vigilance at all levels

b. rejectH0;
sleep deprivation
does not have the same
effect on vigilance at all levels

c. retainH0;
we cannot conclude that sleep deprivation influences vigilance

d. acceptH0;
sleep deprivation
has the same effect on
vigilance at all levels

17. Refer
to sleep study Estimate the size of the effect.
Using omega squared.

a. 0.5109

b. 0.6698

c. 1.6633

d. 0..5678

18. Refer to sleep study. Estimate the size of the effect using
Cohen’s f.

a. 1.4244

b. 0.6698

c. 1.6633

d. 0.5678

19.
If the variability of the cell means around the grand mean is no greater than
you would

expect
by chance, then you would expect your F ratio to be equal to ?

a.
10

b. 0

c.
2.34

d.
1.00

20. Which of the following would cause Fobtainedto increase?

a. an increase in the difference between the means

b. an increase in the within-groups variability

c. an increase in the magnitude of the independent variable’s effect

d. a and b

e. a and c

21.
Which of the following assumptions of the analysis of variance if violated
is especially problematic if you have unequal
sample sizes.

a.
normality

b.
homogeneity of variance

c.
independence

d.
odd numbers

22. TheF ratio
increases as _________.

a. the variability between
means increases relative to the variability within groups

b. the variability between
means decreases relative to the variability within groups

c. the total variability
increases

d. the total variability
decreases

e. the variability within
groups remains the same

23. Which of the follow
will result if you violate the assumptions of the F test, especially if you
have heterogeneity of variance and unequal n?

a) Power will decrease

b) Probability of a type 2
error will increase

c) Probability of a type 1
error will increase

d) The world will end

24.(12 points)In the space below conduct pairwise
comparisons using the Tukey, Neuman Keuls, LSD and Bonferroni for the sleep study
above. Place the work for each test (show all work) below the label for each
test and be specific when you state you conclusions.

(3 points) Tukey
test (show all work for Tukey below)

(3 points) Neuman
Keuls (show all work for Neuman Keuls below)

(3 points) LSD
(show all work for LSD below)

(3 points) Bonferroni
(show all work for LSD below)

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