6360 Minitab Example
6360 Minitab Example
Upload the data from problem 14 on page 118
Lifetime (weeks) of wire specimens tested for thermal endurance according to AIEE Standard 17 from 2 labs using a test temperature of 200oC
1. Editor/Enable Commands
2. Print C1 C2
3. Describe C1 C2
Minitab and Excel
4. Graph/Histogram
Minitab and Excel
5. Graph/Stem and Leaf
6. Graph/Boxplot
7. Sort
8. Q-Q Plot
9. Normal Probability Plots
2. Results for: PROB 14.MTW
MTB > print c1 c2
Data Display
Row Lab1 Lab2
1 14 27
2 16 28
3 17 29
4 18 29
5 20 29
6 22 30
7 23 31
8 25 31
9 27 33
10 28 34
3. Descriptive Statistics: Lab1, Lab2
MTB > Describe c1 c2
Variable N Mean Median TrMean StDev SE Mean
Lab1 10 21.00 21.00 21.00 4.78 1.51
Lab2 10 30.100 29.500 30.000 2.183 0.690
Variable Minimum Maximum Q1 Q3
Lab1 14.00 28.00 16.75 25.50
Lab2 27.000 34.000 28.750 31.500
Excel Output for Descriptive Statistics
| |Lab1 |Lab2 |
| | | |
|Mean |21 |30.1 |
|Standard Error |1.51 |0.69 |
|Median |21 |29.5 |
|Mode |#N/A |29 |
|Standard Deviation |4.78 |2.18 |
|Sample Variance |22.89 |4.77 |
|Kurtosis |-1.28 |-0.31 |
|Skewness |0.09 |0.56 |
|Range |14 |7 |
|Minimum |14 |27 |
|Maximum |28 |34 |
|Sum |210 |301 |
|Count |10 |10 |
4. Histograms: Graph/Histogram
MTB > Histogram 'Lab1';
SUBC> MidPoint;
SUBC> Bar;
SUBC> Title "Distribution of Thermal Endurance (wks) for Wires in Lab 1";
SUBC> ScFrame;
SUBC> ScAnnotation.
Histogram Lab1
[pic]
Histogram Using Excel
| | |
|Weeks |Frequency |
|25 |0 |
|27 |1 |
|29 |4 |
|31 |3 |
|33 |1 |
|35 |1 |
| |0 |
[pic]
5. Graph/Stem and Leaf
MTB > Stem-and-Leaf 'Lab1'.
Stem-and-Leaf Display: Lab1
Stem-and-leaf of Lab1 N = 10
Leaf Unit = 1.0
1 1 4
3 1 67
4 1 8
5 2 0
5 2 23
3 2 5
2 2 7
1 2 8
MTB > Stem-and-Leaf 'Lab2'.
Stem-and-Leaf Display: Lab2
Stem-and-leaf of Lab2 N = 10
Leaf Unit = 0.10
1 27 0
2 28 0
5 29 000
5 30 0
4 31 00
2 32
2 33 0
1 34 0
6. Graph/Boxplot
MTB > Boxplot 'Lab1' 'Lab2';
SUBC> Transpose;
SUBC> Box;
SUBC> Type 3 2;
SUBC> Color 0 0;
SUBC> Symbol;
SUBC> Outlier;
SUBC> Title "Thermal Endurance (Wks)";
SUBC> Title "Wires in Labs 1 & 2";
SUBC> Overlay;
SUBC> ScFrame;
SUBC> ScAnnotation.
Boxplot 'Lab1' 'Lab2';
[pic]
Lab 2 produces more precise results.
Cannot comment on accuracy without true long-run average lifetimes
7. Sort
MTB > Sort c1 c4
MTB > Sort C2 c5
MTB > Print c1-c5
Data Display
Row Lab1 Lab2 C3 Lab 1 s Lab 2 s
1 14 27 14 27
2 16 28 16 28
3 17 29 17 29
4 18 29 18 29
5 20 29 20 29
6 22 30 22 30
7 23 31 23 31
8 25 31 25 31
9 27 33 27 33
10 28 34 28 34
* NOTE * One or more variables are undefined.
8. Q-Q Plot
Graph/Plot
MTB > Plot 'Lab 1 s'*'Lab 2 s';
SUBC> Symbol;
SUBC> Title "Q-Q Plot for Thermal Endurance for Labs 1 & 2";
SUBC> ScFrame;
SUBC> ScAnnotation.
Plot Lab 1 s * Lab 2 s
[pic]
Using Excel
[pic]
9. Normal Probability Plots
MTB > Nscores c1 c7
MTB > Nscores c2 c8
MTB > Print c1 c2 c7 c8
Data Display
Row Lab1 Lab2 Lab 1N Lab 2N
1 14 27 -1.54664 -1.54664
2 16 28 -1.00049 -1.00049
3 17 29 -0.65542 -0.37546
4 18 29 -0.37546 -0.37546
5 20 29 -0.12258 -0.37546
6 22 30 0.12258 0.12258
7 23 31 0.37546 0.51042
8 25 31 0.65542 0.51042
9 27 33 1.00049 1.00049
10 28 34 1.54664 1.54664
Graph/Plot
MTB > Plot 'Lab 1N'*'Lab1';
SUBC> Symbol;
SUBC> Title "Normal Plot for Lab 1";
SUBC> ScFrame;
SUBC> ScAnnotation.
Plot Lab 1N * Lab1
[pic]
[pic]
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