How to attract ad mission in higher education

1. How to attract Admission in
Engineering Institutes:
A Quantitative Strategy
By:
Dr. Bikram Jit Singh
Professor
MMDU Mullana

2. Box-Behnken Design
Factors: 9 Replicates: 1
Base runs: 130 Total runs: 130
Base blocks: 1 Total blocks: 1
Center points: 10
Put table of excel sheet in annexure….
Analysis is as follows……

3. Response Surface Regression: Student Resp versus Brand Name (, Location (Km, ..
The analysis was done using coded units.
Estimated Regression Coefficients for Student Response (%)
Term Coef SE Coef T P
Constant 67.5410 1.8475 36.557 0.000
Brand Name (LS) 8.3607 0.9238 9.051 0.000
Location (Kms) -3.9754 0.9238 -4.303 0.000
Facilities (LS) 2.2131 0.9238 2.396 0.019
Fees (Rs) -9.3852 0.9238 -10.160 0.000
Placement (%) 25.8197 0.9238 27.950 0.000
Advertisement (Per week) 1.9672 0.9238 2.130 0.036
Certification (Nos.) 3.5656 0.9238 3.860 0.000
HR Dealing (LS) 1.3934 0.9238 1.508 0.136
Extra Activities (Nos) -0.3279 0.9238 -0.355 0.724
Brand Name (LS)*Brand Name (LS) -5.4850 1.2317 -4.453 0.000
Location (Kms)*Location (Kms) -3.2650 1.2317 -2.651 0.010
Facilities (LS)*Facilities (LS) -0.0888 1.2317 -0.072 0.943
Fees (Rs)*Fees (Rs) -4.0505 1.2317 -3.289 0.002
Placement (%)*Placement (%) -12.0765 1.2317 -9.805 0.000
Advertisement (Per week)* -0.4986 1.2317 -0.405 0.687
Advertisement (Per week)

4. Certification (Nos.)* -4.0505 1.2317 -3.289 0.002
Certification (Nos.)
HR Dealing (LS)*HR Dealing (LS) -1.8306 1.2317 -1.486 0.141
Extra Activities (Nos)* -1.3183 1.2317 -1.070 0.288
Extra Activities (Nos)
Brand Name (LS)*Location (Kms) 0.8197 2.0656 0.397 0.693
Brand Name (LS)*Facilities (LS) 1.6393 2.0656 0.794 0.430
Brand Name (LS)*Fees (Rs) -1.4344 1.4606 -0.982 0.329
Brand Name (LS)*Placement (%) -1.0246 2.0656 -0.496 0.621
Brand Name (LS)* -2.6639 2.0656 -1.290 0.048
Advertisement (Per week)
Brand Name (LS)*Certification (Nos.) 0.8197 1.4606 0.561 0.576
Brand Name (LS)*HR Dealing (LS) 1.4344 2.0656 0.694 0.490
Brand Name (LS)* 0.6148 2.0656 0.298 0.767
Extra Activities (Nos)
Location (Kms)*Facilities (LS) 2.0492 2.0656 0.992 0.324
Location (Kms)*Fees (Rs) 0.2049 2.0656 0.099 0.921
Location (Kms)*Placement (%) 0.1025 1.4606 1.094 0.050
Location (Kms)* 2.2541 2.0656 1.091 0.052
Advertisement (Per week)
Location (Kms)*Certification (Nos.) -0.6148 2.0656 -0.298 0.767
Location (Kms)*HR Dealing (LS) 1.5369 1.4606 1.052 0.296

5. Location (Kms)* 2.2541 2.0656 1.091 0.279
Extra Activities (Nos)
Facilities (LS)*Fees (Rs) -2.0492 2.0656 -0.992 0.324
Facilities (LS)*Placement (%) 0.8197 2.0656 0.397 0.693
Facilities (LS)* -1.0246 1.4606 -0.701 0.485
Advertisement (Per week)
Facilities (LS)*Certification (Nos.) -0.4098 2.0656 -0.198 0.843
Facilities (LS)*HR Dealing (LS) 1.6393 2.0656 0.794 0.430
Facilities (LS)* 2.4590 1.4606 1.684 0.046
Extra Activities (Nos)
Fees (Rs)*Placement (%) -3.6885 2.0656 -1.688 0.048
Fees (Rs)*Advertisement (Per week) -0.4098 2.0656 -0.198 0.843
Fees (Rs)*Certification (Nos.) 0.2049 1.4606 0.140 0.889
Fees (Rs)*HR Dealing (LS) 2.0492 2.0656 0.992 0.324
Fees (Rs)*Extra Activities (Nos) -1.4344 2.0656 -0.694 0.490
Placement (%)* -0.0000 2.0656 -0.000 1.000
Advertisement (Per week)

6. Placement (%)*Certification (Nos.) 1.6393 2.0656 0.794 0.430
Placement (%)*HR Dealing (LS) -0.5123 1.4606 -0.351 0.727
Placement (%)*Extra Activities (Nos) -2.2541 2.0656 -1.011 0.051
Advertisement (Per week)* -0.6148 2.0656 -0.298 0.767
Certification (Nos.)
Advertisement (Per week)* -2.6639 2.0656 -1.290 0.201
HR Dealing (LS)
Advertisement (Per week)* -1.2295 1.4606 -0.842 0.403
Extra Activities (Nos)
Certification (Nos.)*HR Dealing (LS) 0.4098 2.0656 0.198 0.843
Certification (Nos.)* -1.6393 2.0656 -0.794 0.430
Extra Activities (Nos)
HR Dealing (LS)* 0.8197 2.0656 0.397 0.693
Extra Activities (Nos)
S = 5.84241 PRESS = 8802.10
R-Sq = 93.99% R-Sq(pred) = 79.34% R-Sq(adj) = 89.67%

7. Estimated Regression Coefficients for Student Response (%) using data in
uncoded units
Term Coef
Constant -32.6791
Brand Name (LS) 5.95628
Location (Kms) -0.384601
Facilities (LS) -0.945659
Fees (Rs) 0.00101202
Placement (%) 1.28361
Advertisement (Per week) 5.00683
Certification (Nos.) 13.1352
HR Dealing (LS) -1.47626
Extra Activities (Nos) 1.92623
Brand Name (LS)*Brand Name (LS) -0.342811
Location (Kms)*Location (Kms) -0.00362781
Facilities (LS)*Facilities (LS) -0.00986642
Fees (Rs)*Fees (Rs) -6.48087E-09
Placement (%)*Placement (%) -0.00483060
Advertisement (Per week)* -0.0554038
Advertisement (Per week)
Certification (Nos.)* -4.05055
Certification (Nos.)
HR Dealing (LS)*HR Dealing (LS) -0.114413
Extra Activities (Nos)* -0.329577
Extra Activities (Nos)

8. Brand Name (LS)*Location (Kms) 0.00683060
Brand Name (LS)*Facilities (LS) 0.136612
Brand Name (LS)*Fees (Rs) -1.43443E-05
Brand Name (LS)*Placement (%) -0.00512295
Brand Name (LS)* -0.221995
Advertisement (Per week)
Brand Name (LS)*Certification (Nos.) 0.204918
Brand Name (LS)*HR Dealing (LS) 0.0896516
Brand Name (LS)* 0.0768443
Extra Activities (Nos)
Location (Kms)*Facilities (LS) 0.0227687
Location (Kms)*Fees (Rs) 2.73224E-07
Location (Kms)*Placement (%) 6.83060E-05
Location (Kms)* 0.0250455
Advertisement (Per week)
Location (Kms)*Certification (Nos.) -0.0204918
Location (Kms)*HR Dealing (LS) 0.0128074
Location (Kms)* 0.0375683
Extra Activities (Nos)
Facilities (LS)*Fees (Rs) -2.73224E-05

9. Facilities (LS)*Placement (%) 0.00546448
Facilities (LS)* -0.113843
Advertisement (Per week)
Facilities (LS)*Certification (Nos.) -0.136612
Facilities (LS)*HR Dealing (LS) 0.136612
Facilities (LS)* 0.409836
Extra Activities (Nos)
Fees (Rs)*Placement (%) -2.95082E-06
Fees (Rs)*Advertisement (Per week) -5.46448E-06
Fees (Rs)*Certification (Nos.) 8.19672E-06
Fees (Rs)*HR Dealing (LS) 2.04918E-05
Fees (Rs)*Extra Activities (Nos) -2.86885E-05
Placement (%)* -1.39988E-16
Advertisement (Per week)
Placement (%)*Certification (Nos.) 0.0327869
Placement (%)*HR Dealing (LS) -0.00256148
Placement (%)*Extra Activities (Nos) -0.0225410
Advertisement (Per week)* -0.204918
Certification (Nos.)
Advertisement (Per week)* -0.221995
HR Dealing (LS)
Advertisement (Per week)* -0.204918
Extra Activities (Nos)
Certification (Nos.)*HR Dealing (LS) 0.102459
Certification (Nos.)* -0.819672
Extra Activities (Nos)
HR Dealing (LS)* 0.102459
Extra Activities (Nos)
}

10. Write equation of significant factors & interactions…………

11. 100-10
99.9
99
90
50
10
1
0.1
Residual
Percent
10080604020
10
5
0
-5
-10
Fitted Value
Residual
12840-4-8
24
18
12
6
0
Residual
Frequency
130
120
110
1009080706050403020101
10
5
0
-5
-10
Observation Order
Residual
Normal Probability Plot Versus Fits
Histogram Versus Order
Residual Plots for Student Response (%)

12. 1062
80
60
40
65355 1074
1000007500050000
80
60
40
100500 630
210
80
60
40
1062 642
Brand Name (LS)
Mean
Location (Kms) Facilities (LS)
Fees (Rs) Placement (%) A dv ertisement (Per week)
C ertification (Nos.) HR Dealing (LS) Extra A ctiv ities (Nos)
Main Effects Plot for Student Response (%)
Data Means

13. 65355 1074 100000
75000
50000
100
500 630 210 1062 642
90
60
30
90
60
30
90
60
30
90
60
30
90
60
30
90
60
30
90
60
30
90
60
30
Brand Name (LS)
Location (Kms)
Facilities (LS)
Fees (Rs)
Placement (%)
Advertisement (Per week)
Certification (Nos.)
HR Dealing (LS)
Extra Activities (Nos)
2
6
10
(LS)
Name
Brand
5
35
65
(Kms)
Location
4
7
10
(LS)
Facilities
50000
75000
100000
Fees (Rs)
0
50
100
(%)
Placement
0
3
6
(Perweek)
Advertisement
0
1
2
(Nos.)
Certification
2
6
10
(LS)
HRDealing
Interaction Plot for Student Response (%)
Data Means

14. 50
60
3
6
70
4
6
2
0
9
Student Response (%)
A dvertisement (Per week)
Brand Name (LS)
Location (Kms) 35
Facilities (LS) 7
Fees (Rs) 75000
Placement (%) 50
Certification (Nos.) 1
HR Dealing (LS) 6
Extra Activities (Nos) 4
Hold Values
Surface Plot of Student Response vs Advertisement & Brand Name (LS)
Brand Name (LS)
Advertisement(Perweek)
1098765432
6
5
4
3
2
1
0
Location (Kms) 35
Facilities (LS) 7
Fees (Rs) 75000
Placement (%) 50
Certification (Nos.) 1
HR Dealing (LS) 6
Extra Activities (Nos) 4
Hold Values
>
–
–
–
–
< 50
50 55
55 60
60 65
65 70
70
(%)
Response
Student
Contour Plot of Student Response vs Advertisement & Brand Name (LS)

15. 55
60
65
0
20
40
65
70
6060
4
2
0
6
Student Response (%)
A dvertisement (Per week)
Location (Kms)
Brand Name (LS) 6
Facilities (LS) 7
Fees (Rs) 75000
Placement (%) 50
Certification (Nos.) 1
HR Dealing (LS) 6
Extra Activities (Nos) 4
Hold Values
Surface Plot of Student Response vs Advertisement & Location (Kms)
Location (Kms)
Advertisement(Perweek)
605040302010
6
5
4
3
2
1
0
Brand Name (LS) 6
Facilities (LS) 7
Fees (Rs) 75000
Placement (%) 50
Certification (Nos.) 1
HR Dealing (LS) 6
Extra Activities (Nos) 4
Hold Values
>
–
–
–
–
–
–
< 56
56 58
58 60
60 62
62 64
64 66
66 68
68
(%)
Response
Student
Contour Plot of Student Response vs Advertisement & Location (Kms)

16. 60
65
4
6
8
70
4
6
2
10
Student Response (%)
Extra Activities (Nos)
Facilities (LS)
Brand Name (LS) 6
Location (Kms) 35
Fees (Rs) 75000
Placement (%) 50
Advertisement (Per week) 3
Certification (Nos.) 1
HR Dealing (LS) 6
Hold Values
Surface Plot of Student Response vs Extra Activities & Facilities (LS)
Facilities (LS)
ExtraActivities(Nos)
10987654
6
5
4
3
2
Brand Name (LS) 6
Location (Kms) 35
Fees (Rs) 75000
Placement (%) 50
Advertisement (Per week) 3
Certification (Nos.) 1
HR Dealing (LS) 6
Hold Values
>
–
–
–
–
< 62
62 64
64 66
66 68
68 70
70
(%)
Response
Student
Contour Plot of Student Response vs Extra Activities & Facilities (LS)

17. 20
40
60
0
50
80
75000
100000
50000
100
Student Response (%)
Fees (Rs)
Placement (%)
Brand Name (LS) 6
Location (Kms) 35
Facilities (LS) 7
Advertisement (Per week) 3
Certification (Nos.) 1
HR Dealing (LS) 6
Extra Activities (Nos) 4
Hold Values
Surface Plot of Student Response (%) vs Fees (Rs) & Placement (%)
Fees (Rs)
Placement(%)
1000009000080000700006000050000
100
80
60
40
20
0
Brand Name (LS) 6
Location (Kms) 35
Facilities (LS) 7
Advertisement (Per week) 3
Certification (Nos.) 1
HR Dealing (LS) 6
Extra Activities (Nos) 4
Hold Values
>
–
–
–
< 20
20 40
40 60
60 80
80
(%)
Response
Student
Contour Plot of Student Response (%) vs Placement (%) & Fees (Rs)

18. 20
40
60
0
50
60
80
4
6
2
100
Student Response (%)
Extra Activities (Nos)
Placement (%)
Brand Name (LS) 6
Location (Kms) 35
Facilities (LS) 7
Fees (Rs) 75000
Advertisement (Per week) 3
Certification (Nos.) 1
HR Dealing (LS) 6
Hold Values
Surface Plot of Student Response vs Extra Activities & Placement (%)
Placement (%)
ExtraActivities(Nos)
100806040200
6
5
4
3
2
Brand Name (LS) 6
Location (Kms) 35
Facilities (LS) 7
Fees (Rs) 75000
Advertisement (Per week) 3
Certification (Nos.) 1
HR Dealing (LS) 6
Hold Values
>
–
–
–
–
–
< 30
30 40
40 50
50 60
60 70
70 80
80
(%)
Response
Student
Contour Plot of Student Response vs Extra Activities, Placement (%)

19. 20
40
60
00
20
40
60
80
6060
50
0
100
Student Response (%)
Placement (%)
Location (Kms)
Brand Name (LS) 6
Facilities (LS) 7
Fees (Rs) 75000
Advertisement (Per week) 3
Certification (Nos.) 1
HR Dealing (LS) 6
Extra Activities (Nos) 4
Hold Values
Surface Plot of Student Response (%) vs Placement (%) & Location (Kms)
Location (Kms)
Placement(%)
605040302010
100
80
60
40
20
0
Brand Name (LS) 6
Facilities (LS) 7
Fees (Rs) 75000
Advertisement (Per week) 3
Certification (Nos.) 1
HR Dealing (LS) 6
Extra Activities (Nos) 4
Hold Values
>
–
–
–
–
–
< 30
30 40
40 50
50 60
60 70
70 80
80
(%)
Response
Student
Contour Plot of Student Response (%) vs Placement (%), Location (Kms)

20. Response Optimization
Parameters
Goal Lower Target Upper Weight Import
Student Resp Target 30 90 100 1 1
Starting Point
Brand Name (LS) = 2
Location (Km) = 5
Facilities ( LS) = 4
Fees (Rs) = 50000
Placement (%) = 0
Advertisemen (Freq.) = 0
Certification (Nos.) = 0
HR Dealing (LS) = 2
Extra Activi (Nos.) = 2
Local Solution
Brand Name (LS) = 4.83169
Location (Km) = 15
Facilities (LS) = 8
Fees (Rs) = 50000
Placement (%) = 81.8182
Advertisemen (LS) = 1.69943
Certificatio (Nos.) = 1.81818
HR Dealing (LS) = 2
Extra Activi (Nos.) = 2
Predicted Responses
Student Resp = 89.9795 , desirability = 0.999658
Composite Desirability = 0.94.3

21. Cur
High
Low0.94300
D
New
d = 0.94300
Targ: 90.0
Student
y = 86.5800
0.94300
Desirability
Composite
2.0
6.0
2.0
10.0
0.0
2.0
0.0
6.0
0.0
100.0
50000.0
100000.0
4.0
10.0
5.0
65.0
2.0
10.0
Location Faciliti Fees (Rs Placemen Advertis Certific HR Deali Extra AcBrand Na
[4.8317] [15.0] [8.0] [50000.0][81.8182][1.6994] [1.8182] [2.0] [2.0]