Factorial Design of Metal Part Finish 1
Factor A (DEPTH): 4 Levels of Depth of Cut (.15, .18, .2, .25 )
Factor B (FEED) : 3 Levels of Feed Rate (0.2, 0.25, 0.3 in/min)
* FSYM is the alphabetical symbol for Feed Rate values
(0.02 = O, 0.25 = P, 0.30 = Q)
Obs DEPTH FEED FSYM FINISH
1 0.15 0.20 O 74
2 0.15 0.20 O 64
3 0.15 0.20 O 60
4 0.15 0.25 P 92
5 0.15 0.25 P 86
6 0.15 0.25 P 88
7 0.15 0.30 Q 99
8 0.15 0.30 Q 98
9 0.15 0.30 Q 102
10 0.18 0.20 O 79
11 0.18 0.20 O 68
12 0.18 0.20 O 73
13 0.18 0.25 P 98
14 0.18 0.25 P 104
15 0.18 0.25 P 88
16 0.18 0.30 Q 104
17 0.18 0.30 Q 99
18 0.18 0.30 Q 95
19 0.20 0.20 O 82
20 0.20 0.20 O 88
21 0.20 0.20 O 92
22 0.20 0.25 P 99
23 0.20 0.25 P 108
24 0.20 0.25 P 95
25 0.20 0.30 Q 108
26 0.20 0.30 Q 110
27 0.20 0.30 Q 99
28 0.25 0.20 O 99
29 0.25 0.20 O 104
30 0.25 0.20 O 96
31 0.25 0.25 P 104
32 0.25 0.25 P 110
33 0.25 0.25 P 99
34 0.25 0.30 Q 114
35 0.25 0.30 Q 111
36 0.25 0.30 Q 107
Factorial Design of Metal Part Finish 2
Factor A (DEPTH): 4 Levels of Depth of Cut (.15, .18, .2, .25 )
Factor B (FEED) : 3 Levels of Feed Rate (0.2, 0.25, 0.3 in/min)
* FSYM is the alphabetical symbol for Feed Rate values
(0.02 = O, 0.25 = P, 0.30 = Q)
------------------------------------------------------------------------
| | DEPTH |
| |---------------------------------------------------|
| | 0.15 | 0.18 | 0.2 | 0.25 |
| |------------+------------+------------+------------|
| | FINISH | FINISH | FINISH | FINISH |
| |------------+------------+------------+------------|
| | Y(IJ) | Y(IJ) | Y(IJ) | Y(IJ) |
|------------------+------------+------------+------------+------------|
|FEED | | | | |
|------------------| | | | |
|0.2 | 198.00| 220.00| 262.00| 299.00|
|------------------+------------+------------+------------+------------|
|0.25 | 266.00| 290.00| 302.00| 313.00|
|------------------+------------+------------+------------+------------|
|0.3 | 299.00| 298.00| 317.00| 332.00|
------------------------------------------------------------------------
Factorial Design of Metal Part Finish 3
Factor A (DEPTH): 4 Levels of Depth of Cut (.15, .18, .2, .25 )
Factor B (FEED) : 3 Levels of Feed Rate (0.2, 0.25, 0.3 in/min)
* FSYM is the alphabetical symbol for Feed Rate values
(0.02 = O, 0.25 = P, 0.30 = Q)
The GLM Procedure
Class Level Information
Class Levels Values
DEPTH 4 0.15 0.18 0.2 0.25
FEED 3 0.2 0.25 0.3
FSYM 3 O P Q
Number of observations 36
Factorial Design of Metal Part Finish 4
Factor A (DEPTH): 4 Levels of Depth of Cut (.15, .18, .2, .25 )
Factor B (FEED) : 3 Levels of Feed Rate (0.2, 0.25, 0.3 in/min)
* FSYM is the alphabetical symbol for Feed Rate values
(0.02 = O, 0.25 = P, 0.30 = Q)
The GLM Procedure
Dependent Variable: FINISH
Sum of
Source DF Squares Mean Square F Value Pr > F
Model 11 5842.666667 531.151515 18.49 <.0001
Error 24 689.333333 28.722222
Corrected Total 35 6532.000000
R-Square Coeff Var Root MSE FINISH Mean
0.894468 5.681249 5.359312 94.33333
Source DF Type I SS Mean Square F Value Pr > F
DEPTH 3 2125.111111 708.370370 24.66 <.0001
FEED 2 3160.500000 1580.250000 55.02 <.0001
DEPTH*FEED 6 557.055556 92.842593 3.23 0.0180
Source DF Type III SS Mean Square F Value Pr > F
DEPTH 3 2125.111111 708.370370 24.66 <.0001
FEED 2 3160.500000 1580.250000 55.02 <.0001
DEPTH*FEED 6 557.055556 92.842593 3.23 0.0180
Factorial Design of Metal Part Finish 5
Factor A (DEPTH): 4 Levels of Depth of Cut (.15, .18, .2, .25 )
Factor B (FEED) : 3 Levels of Feed Rate (0.2, 0.25, 0.3 in/min)
* FSYM is the alphabetical symbol for Feed Rate values
(0.02 = O, 0.25 = P, 0.30 = Q)
Plot of YHAT*DEPTH. Symbol is value of FSYM.
YHAT |
|
115 +
|
|
| Q
110 +
|
|
| Q
105 +
| P
|
| P
100 + Q O
| Q
|
| P
95 +
|
|
|
90 +
| P
| O
|
85 +
|
|
|
80 +
|
|
|
75 +
| O
|
|
70 +
|
|
| O
65 +
|
---+----------------+----------------+----------------+----------------+--
0.10 0.15 0.20 0.25 0.30
DEPTH
NOTE: 24 obs hidden.
Factorial Design of Metal Part Finish 6
Factor A (DEPTH): 4 Levels of Depth of Cut (.15, .18, .2, .25 )
Factor B (FEED) : 3 Levels of Feed Rate (0.2, 0.25, 0.3 in/min)
* FSYM is the alphabetical symbol for Feed Rate values
(0.02 = O, 0.25 = P, 0.30 = Q)
Plot of RESID*YHAT. Legend: A = 1 obs, B = 2 obs, etc.
8 + A
|
| A A
|
|
6 +
| A A
|
| A A
| A A
4 +
|
| A A
|
| A A
2 +
|
RESID | A
| A
| A
0 +
| A A A
| A B
|
| AA
-2 + A
|
| A
|
| A A
-4 +
| A
|
| A A A
| A
-6 + A
|
| A
|
|
-8 +
|
| A
|
|
-10 +
-+-----------+-----------+-----------+-----------+-----------+-----------+
60 70 80 90 100 110 120
YHAT
Factorial Design of Metal Part Finish 7
Factor A (DEPTH): 4 Levels of Depth of Cut (.15, .18, .2, .25 )
Factor B (FEED) : 3 Levels of Feed Rate (0.2, 0.25, 0.3 in/min)
* FSYM is the alphabetical symbol for Feed Rate values
(0.02 = O, 0.25 = P, 0.30 = Q)
Plot of NSCORE*RESID. Legend: A = 1 obs, B = 2 obs, etc.
|
|
2.5 +
|
|
| A
2.0 +
|
|
| B
R 1.5 +
a |
n | A
k | A
1.0 + B
f |
o | B
r | B
0.5 + A
V | A A
a | A
r | A A
i 0.0 + B
a | B
b | A
l | B
e -0.5 + A A
| A
R | A A
E | A
S -1.0 +
I | B
D | A
|
-1.5 + A
|
| A
|
-2.0 +
| A
|
|
-2.5 +
|
---+-------+-------+-------+-------+-------+-------+-------+-------+--
-10.0 -7.5 -5.0 -2.5 0.0 2.5 5.0 7.5 10.0
RESID