The data "... appear in a paper by Box and Cox (1964). These are survival times of groups of four animals randomly allocated to three poisons and fou treatments. The experiment was part of an investigation to combat the effects of certain toxic agents. This arrangement is called a 3 x 4 factorial design and is replicated four times." The aim here is to see how the different poisons and medications affect survival times. Survival time is measured in ten-hours. Use the information provided below to answer the SURVIVAL TIMES questions that follow.
The data "... appear in a paper by Box and Cox (1964). These are survival times of groups of four animals randomly allocated to three poisons and fou treatments. The experiment was part of an investigation to combat the effects of certain toxic agents. This arrangement is called a 3 x 4 factorial design and is replicated four times." The aim here is to see how the different poisons and medications affect survival times. Survival time is measured in ten-hours. Use the information provided below to answer the SURVIVAL TIMES questions that follow.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Please answer the remaining questions regardless of whether you decided that there was or was not significant interaction.
Use the Excel output to write out the conclusions of the Two-way Anova F-test, and use a 5% significance level.
Choose the options that would create the correct column factor hypotheses.
Ho: [ Select ] ["Survival Times", "Medications", "Poisons"] [ Select ] ["affect", "do not affect"] [ Select ] ["Poisons", "Survival Times", "Medications"] .
Ha: [ Select ] ["Poisons", "Medications", "Survival Times"] affect [ Select ] ["Survival Times", "Poisons", "Medications"] .
Transcribed Image Text:Data from "Statistics For Experimenters" by Box Hunter Hunter, 1978.
The data “... appear in a paper by Box and Cox (1964). These are survival
times of groups of four animals randomly allocated to three poisons and four
treatments. The experiment was part of an investigation to combat the
effects of certain toxic agents. This arrangement is called a 3 x 4 factorial
design and is replicated four times."
The aim here is to see how the different poisons and medications affect
survival times. Survival time is measured in ten-hours.
Use the information provided below to answer the SURVIVAL TIMES
questions that follow.
Two-way Anova: SURVIVAL TIMES (DATA)
MEDICATIONS
D
Means
0.31
0.82
0.43
0.45
0.45
1.1
0.45
0.71
0.6175
0.46
0.88
0.63
0.66
0.43
0.72
0.76
0.62
0.36
0.92
0.44
0.56
0.29
0.61
0.35
1.02
II
0.5444
0.4
0.49
0.31
0.71
0.23
1.24
0.4
0.38
0.22
0.3
0.23
0.3
0.21
0.37
0.25
0.36
II
0.2763
0.18
0.38
0.24
0.31
0.23
0.29
0.22
0.33
Means
0.3142
0.6767
0.3925
0.5342
0.4794
SNOSIOD
Transcribed Image Text:Two-way Anova: SURVIVAL TIMES (EXCEL OUTPUT)
Anova: Two-Factor
SUMMARY
A
B
Total
Count
4
4
4
4
16
Sum
1.65
3.52
2.27
2.44
9.88
Average
0.4125
0.88
0.5675
0.61
0.6175
Variance
0.004825
0.02586667 0.02455833
0.01273333
0.04386
Count
4
4
4
4
16
Sum
1.28
3.26
1.5
2.67
8.71
Average
0.32
0.815
0.375
0.6675
0.544375
Variance
0.00566667
0.1131
0.00323333
0.073425
0.08373292
Count
4
4
4
16
Sum
0.84
1.34
0.94
1.3
4.42
Average
0.21
0.335
0.235
0.325
0.27625
Variance
0.00046667 0.00216667 0.00016667
0.0007
0.00387833
Total
Count
12
12
12
12
Sum
3.77
8.12
4.71
6.41
Average
0.31416667 0.67666667
0.3925
0.53416667
Variance
0.01046288 0.10293333 0.02789318
0.04815379
ANOVA
Source of Variation
S
df
MS
F
P-value
F crit
Sample
1.0330125
0.51650625
2
23.2217366
3.3314E-07
3.259446306
Columns
0.92120625
3
0.30706875
13.8055824
3.7773E-06
2.866265557
Interaction
0.2501375
0.04168958
1.87433264
0.11225061
2.363750958
Within
0.800725
36
0.02224236
Total
3.00508125
47
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