Design of Experiment Report from MInitab Analysis
Experiment completed and Minitab analysis attached. write 2 pages detail report on the attached minitab design of experiment analysis.
Design of Experiment Procedure
The attached analysis consist of the following experiment:
Two airplanes were created, one from a lightweight printer paper, and the other from a heavier construction paper. The weight were vary using 2 paperclips (one heavy and one light), along with varying the weight position from the front to the rear of the planes. 2 different people throw the planes. 3 replication and the combination factors. Experiment was performed randomized.
Write a report on the attached minitab analysis, All areas of the report have sufficient detail such that the reader is able to make a sound, data informed decision based on the final report. show thorough knowledge of what each graphic is indicating, and how it can be used to draw conclusions about the data. All graphics are discussed in detail and their significance to the final analysis and recommendations is thoroughly detailed. There is a final recommendation made based on the data and analysis completed. The sources of error and experiment improvement sections give details accounts of where errors may have occurred, and give a detailed, fact based, opinion of what could be done in the future to reduce error and improve the effectiveness of the experiment.
————— 11/17/2015 5:53:33 PM ————————————————————
Welcome to Minitab, press F1 for help.
Full Factorial Design
Factors: 4 Base Design: 4, 16
Runs: 48 Replicates: 3
Blocks: 1 Center pts (total): 0
All terms are free from aliasing.
————— 11/17/2015 6:57:47 PM ————————————————————
Welcome to Minitab, press F1 for help.
Retrieving project from file:
‘C:\Users\badlawd\AppData\Local\Microsoft\Windows\Temporary Internet
Files\Content.Outlook\8X8NW2BR\Airplane DOE.MPJ’
Factorial Regression: Result (Dist) versus Pilot, Paper, Weight, Position
Analysis of Variance
Source DF Adj SS Adj MS F-Value P-Value
Model 15 2179004 145267 11.51 0.000
Linear 4 1962368 490592 38.86 0.000
Pilot 1 68479 68479 5.42 0.026
Paper 1 1454989 1454989 115.24 0.000
Weight 1 11194 11194 0.89 0.353
Position 1 427708 427708 33.88 0.000
2-Way Interactions 6 202864 33811 2.68 0.032
Pilot*Paper 1 35698 35698 2.83 0.102
Pilot*Weight 1 1530 1530 0.12 0.730
Pilot*Position 1 6325 6325 0.50 0.484
Paper*Weight 1 12256 12256 0.97 0.332
Paper*Position 1 120501 120501 9.54 0.004
Weight*Position 1 26555 26555 2.10 0.157
3-Way Interactions 4 12127 3032 0.24 0.913
Pilot*Paper*Weight 1 35 35 0.00 0.958
Pilot*Paper*Position 1 1334 1334 0.11 0.747
Pilot*Weight*Position 1 9549 9549 0.76 0.391
Paper*Weight*Position 1 1210 1210 0.10 0.759
4-Way Interactions 1 1645 1645 0.13 0.720
Pilot*Paper*Weight*Position 1 1645 1645 0.13 0.720
Error 32 404013 12625
Total 47 2583017
Model Summary
S R-sq R-sq(adj) R-sq(pred)
112.363 84.36% 77.03% 64.81%
Coded Coefficients
Term Effect Coef SE Coef T-Value P-Value VIF
Constant 460.4 16.2 28.39 0.000
Pilot 75.5 37.8 16.2 2.33 0.026 1.00
Paper 348.2 174.1 16.2 10.74 0.000 1.00
Weight -30.5 -15.3 16.2 -0.94 0.353 1.00
Position -188.8 -94.4 16.2 -5.82 0.000 1.00
Pilot*Paper 54.5 27.3 16.2 1.68 0.102 1.00
Pilot*Weight 11.3 5.6 16.2 0.35 0.730 1.00
Pilot*Position -23.0 -11.5 16.2 -0.71 0.484 1.00
Paper*Weight 32.0 16.0 16.2 0.99 0.332 1.00
Paper*Position 100.2 50.1 16.2 3.09 0.004 1.00
Weight*Position -47.0 -23.5 16.2 -1.45 0.157 1.00
Pilot*Paper*Weight -1.7 -0.9 16.2 -0.05 0.958 1.00
Pilot*Paper*Position 10.5 5.3 16.2 0.32 0.747 1.00
Pilot*Weight*Position -28.2 -14.1 16.2 -0.87 0.391 1.00
Paper*Weight*Position -10.0 -5.0 16.2 -0.31 0.759 1.00
Pilot*Paper*Weight*Position -11.7 -5.9 16.2 -0.36 0.720 1.00
Regression Equation in Uncoded Units
Result (Dist) = 460.4 + 37.8 Pilot + 174.1 Paper - 15.3 Weight - 94.4 Position
+ 27.3 Pilot*Paper + 5.6 Pilot*Weight - 11.5 Pilot*Position
+ 16.0 Paper*Weight + 50.1 Paper*Position - 23.5 Weight*Position
- 0.9 Pilot*Paper*Weight + 5.3 Pilot*Paper*Position
- 14.1 Pilot*Weight*Position - 5.0 Paper*Weight*Position
- 5.9 Pilot*Paper*Weight*Position
Alias Structure
Factor Name
A Pilot
B Paper
C Weight
D Position
Aliases
I
A
B
C
D
AB
AC
AD
BC
BD
CD
ABC
ABD
ACD
BCD
ABCD
Fits and Diagnostics for Unusual Observations
Result
Obs (Dist) Fit Resid Std Resid
1 -3.0 187.0 -190.0 -2.07 R
24 408.0 196.0 212.0 2.31 R
39 504.0 187.0 317.0 3.46 R
R Large residual
Effects Plot for Result (Dist)
Half Normal Effects Plot for Result (Dist)
Effects Pareto for Result (Dist)
Residual Plots for Result (Dist)
48 Raw Data
StdOrder RunOrder CenterPt Blocks Pilot Paper Weight Position Result (Dist)
26 1 1 1 #2 Std Small Back -3
15 2 1 1 #1 Const Big Back 440
33 3 1 1 #1 Std Small Front 434
36 4 1 1 #2 Const Small Front 636
1 5 1 1 #1 Std Small Front 444
29 6 1 1 #1 Std Big Back 72
17 7 1 1 #1 Std Small Front 415
47 8 1 1 #1 Const Big Back 456
28 9 1 1 #2 Const Small Back 564
21 10 1 1 #1 Std Big Front 360
25 11 1 1 #1 Std Small Back 144
27 12 1 1 #1 Const Small Back 504
20 13 1 1 #2 Const Small Front 660
22 14 1 1 #2 Std Big Front 516
35 15 1 1 #1 Const Small Front 558
39 16 1 1 #1 Const Big Front 648
3 17 1 1 #1 Const Small Front 639
4 18 1 1 #2 Const Small Front 792
31 19 1 1 #1 Const Big Back 660
32 20 1 1 #2 Const Big Back 540
18 21 1 1 #2 Std Small Front 456
30 22 1 1 #2 Std Big Back 48
46 23 1 1 #2 Std Big Back 120
41 24 1 1 #1 Std Small Back 408
16 25 1 1 #2 Const Big Back 588
12 26 1 1 #2 Const Small Back 720
9 27 1 1 #1 Std Small Back 36
5 28 1 1 #1 Std Big Front 408
7 29 1 1 #1 Const Big Front 540
43 30 1 1 #1 Const Small Back 552
42 31 1 1 #2 Std Small Back 60
2 32 1 1 #2 Std Small Front 288
14 33 1 1 #2 Std Big Back 84
38 34 1 1 #2 Std Big Front 420
45 35 1 1 #1 Std Big Back 108
23 36 1 1 #1 Const Big Front 648
13 37 1 1 #1 Std Big Back 120
19 38 1 1 #1 Const Small Front 612
10 39 1 1 #2 Std Small Back 504
11 40 1 1 #1 Const Small Back 576
6 41 1 1 #2 Std Big Front 444
34 42 1 1 #2 Std Small Front 624
40 43 1 1 #2 Const Big Front 708
8 44 1 1 #2 Const Big Front 852
37 45 1 1 #1 Std Big Front 360
44 46 1 1 #2 Const Small Back 792
48 47 1 1 #2 Const Big Back 690
24 48 1 1 #2 Const Big Front 852