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Perform a two-factor ANOVA
Metadata
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England schools
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England university
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Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
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History
Newcastle University Mathematics and Statistics 9 years, 3 months ago
Created this.There is only one version of this question that you have access to.
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Name | Type | Generated Value |
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ivr | number |
1.69
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||||
f1vr | number |
16.99
|
||||
f2vr | number |
19.90
|
||||
w2 | list |
[ 0, 0, 0, 0, 1 ]
|
||||
w1 | list |
[ 1, 0, 0, 0, 0 ]
|
||||
w0 | list |
[ 1, 0, 0, 0, 0 ]
|
||||
f1l2 | list |
List of 20 items
|
||||
f1l1 | list |
List of 20 items
|
||||
n | integer |
40
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||||
mu3 | number |
23.5
|
||||
f1ssq | list |
[ 6623, 9446 ]
|
||||
f1btss | number |
133.23
|
||||
m4 | number |
20.10
|
||||
m1 | number |
20.40
|
||||
m3 | number |
22.90
|
||||
m2 | number |
15.30
|
||||
btss | number |
302.48
|
||||
f2btss | number |
156.03
|
||||
rss | number |
282.30
|
||||
tss | number |
584.78
|
||||
f1t | list |
[ 357, 430 ]
|
||||
r4 | list |
List of 10 items
|
||||
tol | number |
0.01
|
||||
f2ssq | list |
[ 9539, 6530 ]
|
||||
ssq | list |
[ 4236, 2387, 5303, 4143 ]
|
||||
vvr | list |
[ 16.99, 19.90, 1.69 ]
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||||
sig1 | number |
3
|
||||
sig2 | number |
2
|
||||
f1ss | number |
16069
|
||||
w | list |
Nested 3×5 list
|
||||
n2 | integer |
10
|
||||
interactionss | number |
13.22
|
||||
tsqovern | list |
List of 4 items
|
||||
mu4 | number |
22.1
|
||||
mu1 | number |
20
|
||||
g | number |
787
|
||||
r2 | list |
List of 10 items
|
||||
mu2 | number |
15.6
|
||||
ss | number |
16069
|
||||
f1tsqovern | list |
[ 6372.45, 9245 ]
|
||||
r3 | list |
List of 10 items
|
||||
f2ss | number |
16069
|
||||
mrs | number |
7.84
|
||||
f1rss | number |
451.55
|
||||
f2l1 | list |
List of 20 items
|
||||
f2l2 | list |
List of 20 items
|
||||
r1 | list |
List of 10 items
|
||||
stovern | number |
15786.7
|
||||
t | list |
[ 204, 153, 229, 201 ]
|
||||
f1stovern | number |
15617.45
|
||||
f2t | list |
[ 433, 354 ]
|
||||
n1 | integer |
10
|
||||
f2stovern | number |
15640.25
|
||||
n3 | integer |
10
|
||||
n4 | integer |
10
|
Generated value: number
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Now complete the following two factor ANOVA table from this data. Input the $SS,\;MS$ and $VR$ data to 2 decimal places.
Source | df | SS | MS | VR |
---|---|---|---|---|
Personality | ||||
Stimulus | ||||
P-S interaction | ||||
Residual | - | |||
Total | - | - |
The Calculations.
1. Residual Calculations. When you are calculating $TSS$ and $BTSS$ round them both to 2 decimal places, then calculate $RSS$ by taking away these rounded values. The $RMS$ value is then obtained by dividing this $RSS$ value by the residual degrees of freedom.
2. For Personality, Stimulus and Interaction, calculate the estimations of their variances to 2 decimal places as well. These values go in the $MS$ column.
3. The $VR$ values are obtained by dividing the first three values in the $MS$ column by the $RMS$ value. Enter the $VR$ values to 2 decimal places in the last column.
Also input the mean values of the factors at their various levels, input your answers to 2 decimal places:
$\overline{x}_i$ | |
Normal, Baseline | |
---|---|
Normal, Stress | |
Antisocial, Baseline | |
Antisocial, Stress |
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This question is used in the following exams:
- Two factor ANOVA Practice by Newcastle University Mathematics and Statistics in Content created by Newcastle University.
- Statistics for experimental psychology by Newcastle University Mathematics and Statistics in Content created by Newcastle University.
- David's copy of Statistics for experimental psychology by David Rickard in David's workspace.
- Jinhua's copy of Two factor ANOVA Practice by Jinhua Mathias in Deactivated user's workspace.
- Two way ANOVA by Lauren Frances Desoysa in Newcastle University Sports Science.
- ANOVA by Jeremie Wenger in Jeremie's workspace.