Lecture 33: Analysis – Solitary Confinement
Solitary Confinement
Solitary Confinement
Response: Frequency of brain
waves.
Whole plot/Between Subjects
Factor
12 to 36 Hz – alert.
8 to 12 Hz – relaxed inactivity.
Below 8 Hz – abnormal for
someone who is awake.
Solitary Confinement – Yes, No.
Sub plot/Within Subjects Factor
Time – 1 day, 4 days, 7 days.
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Solitary Confinement
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Informal Analysis
Experimental Units
Overall mean = 13.8 Hz
Solitary Confinement
10 prisoners for each solitary
confinement condition.
Reusing prisoners for time
condition.
Yes: mean = 11.766 Hz
No: mean = 15.833 Hz
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Estimated Effect
Solitary
Confinement
Yes
No
Mean
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Informal Analysis
Estimated Effect
11.766 11.766 – 13.8 = –2.033
15.833 15.833 – 13.8 = +2.033
Being in solitary confinement reduces
brainwave frequency, on average.
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Overall mean = 13.8 Hz
Time
1 Day: mean = 16.65 Hz
4 Days: mean = 12.95 Hz
7 Days: mean = 11.80 Hz
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Lecture 33: Analysis – Solitary Confinement
Estimated Effect
Time
1 Day
4 Days
7 Days
Mean
16.65
12.95
11.80
Treatment Means
Estimated Effect
16.65 – 13.8 = +2.85
12.95 – 13.8 = –0.85
11.80 – 13.8 = –2.00
As time increases brainwave frequency
decreases, on average.
Solitary – Yes
1 Day
4 Days
7 Days
Solitary – No
17.5
10.0
7.8
15.8
15.9
15.8
Being in solitary confinement longer
reduces brainwave frequency, on average.
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Interaction
Frequency
(Hz) LS Means
For prisoners not in solitary
confinement, there is no effect
of time.
For prisoners in solitary
confinement, as time increases
brain wave frequency tends to
decrease.
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10
JMP
JMP Data Table
Solitary
JMP data table set up
Need 60 rows with four columns
Solitary (character, nominal)
Prisoner (character, nominal)
Day (character, nominal)
Frequency (numeric, continuous)
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Prisoner
Day
Frequency
Yes
1
1
14
Yes
2
1
24
Yes
3
1
21
Yes
Yes
4
5
1
1
20
15
No
18
7
21
No
19
7
22
No
20
7
14
12
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Lecture 33: Analysis – Solitary Confinement
Fit Model
Comment
Y: Frequency
Construct Model Effects
Prisoner[Solitary] tells JMP
that Prisoners are associated
with (nested in) the levels
of the factor Solitary.
Solitary
Prisoner[Solitary]
Day
Solitary*Day
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Fit Model
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JMP Output: ANOVA
Be sure to change the
Emphasis (upper right in Fit
Model dialog box) from
Effect Leverage to Minimal
Report.
Source
Model
Error
C. Total
df Sum of Squares
23
2375.6
36
102.0
59
2477.6
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JMP Output: Effect Tests
Source
Solitary
Prisoner[Solitary]
Day
Solitary*Day
df Sum of Squares
1
248.0667
18
1610.2000
2
256.9000
2
260.4333
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Comment
JMP calculates all the sums of
squares and degrees of
freedom correctly, however,
we have not told JMP that a
split plot design was used to
collect the data and so some of
the F tests are incorrect.
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