Choose the correct answers for the items listed below. Response =                             [ Select ]                          ["Survival Times", "Medications", "Poisons"]            Row factor, number of levels =                             [ Select ]                          ["Poisons, 4", "Survival Times, 12", "Medications, 3", "Survival Times, 48", "Poisons, 3", "Medications, 4"]            Column factor, number of levels =                             [ Select ]                          ["Medications, 3", "Poisons, 4", "Medications, 4", "Poisons, 3", "Survival Times, 12", "Survival Times, 48"]            Number of treatments = number of samples =                             [ Select ]                          ["3", "4", "12", "48", "16"]            Number of subjects per sample =                             [ Select ]                          ["48", "3", "16", "12", "4"]            Total number of observations =                             [ Select ]                          ["16", "12", "4", "48", "3"]            Variance of the survival times for all animals given Medication D =                             [ Select ]                          ["0.01046288", "0.02789318", "0.04386", "0.00387833", "0.10293333", "0.04815379", "0.08373292"]            Total survival time for all animals given Poison III =                             [ Select ]                          ["4.42", "6.41", "8.12", "4.71", "8.71", "3.77", "9.88"]            Average survival time for animals given Poison II and Medication C =                             [ Select ]                          ["0.3925", "0.4125", "0.544375", "0.375"]

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Choose the correct answers for the items listed below.

Response =                             [ Select ]                          ["Survival Times", "Medications", "Poisons"]           

Row factor, number of levels =                             [ Select ]                          ["Poisons, 4", "Survival Times, 12", "Medications, 3", "Survival Times, 48", "Poisons, 3", "Medications, 4"]           

Column factor, number of levels =                             [ Select ]                          ["Medications, 3", "Poisons, 4", "Medications, 4", "Poisons, 3", "Survival Times, 12", "Survival Times, 48"]           

Number of treatments = number of samples =                             [ Select ]                          ["3", "4", "12", "48", "16"]           

Number of subjects per sample =                             [ Select ]                          ["48", "3", "16", "12", "4"]           

Total number of observations =                             [ Select ]                          ["16", "12", "4", "48", "3"]           

Variance of the survival times for all animals given Medication D =                             [ Select ]                          ["0.01046288", "0.02789318", "0.04386", "0.00387833", "0.10293333", "0.04815379", "0.08373292"]           

Total survival time for all animals given Poison III =                             [ Select ]                          ["4.42", "6.41", "8.12", "4.71", "8.71", "3.77", "9.88"]           

Average survival time for animals given Poison II and Medication C =                             [ Select ]                          ["0.3925", "0.4125", "0.544375", "0.375"]           

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: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
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
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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