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Analysis of Data from Designed Experiments

Principal Component Analysis

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Example: The following data was collected through a pilot sample survey on Hybrid Jowar crop on yield and biometrical characters. The biometrical characters were average Plant Population (PP), average Plant Height (PH), average Number of Green Leaves (NGL) and Yield (kg/plot).

S.No.

PP

PH

NGL

Yield

 

S.No.

PP

PH

NGL

Yield

1

142.00

0.525

8.2

2.470

24

55.55

0.265

5.0

0.430

2

143.00

0.640

9.5

4.760

25

88.44

0.980

5.0

4.080

3

107.00

0.660

9.3

3.310

26

99.55

0.645

9.6

2.830

4

78.00

0.660

7.5

1.970

27

63.99

0.635

5.6

2.570

5

100.00

0.460

5.9

1.340

28

101.77

0.290

8.2

7.420

6

86.50

0.345

6.4

1.140

29

138.66

0.720

9.9

2.620

7

103.50

0.860

6.4

1.500

30

90.22

0.630

8.4

2.000

8

155.99

0.330

7.5

2.030

31

76.92

1.250

7.3

1.990

9

80.88

0.285

8.4

2.540

32

126.22

0.580

6.9

1.360

10

109.77

0.590

10.6

4.900

33

80.36

0.605

6.8

0.680

11

61.77

0.265

8.3

2.910

34

150.23

1.190

8.8

5.360

12

79.11

0.660

11.6

2.760

35

56.50

0.355

9.7

2.120

13

155.99

0.420

8.1

0.590

36

136.00

0.590

10.2

4.160

14

61.81

0.340

9.4

0.840

37

144.50

0.610

9.8

3.120

15

74.50

0.630

8.4

3.870

38

157.33

0.605

8.8

2.070

16

97.00

0.705

7.2

4.470

39

91.99

0.380

7.7

1.170

17

93.14

0.680

6.4

3.310

40

121.50

0.550

7.7

3.620

18

37.43

0.665

8.4

1.570

41

64.50

0.320

5.7

0.670

19

36.44

0.275

7.4

0.530

42

116.00

0.455

6.8

3.050

20

51.00

0.280

7.4

1.150

43

77.50

0.720

11.8

1.700

21

104.00

0.280

9.8

1.080

44

70.43

0.625

10.0

1.550

22

49.00

0.490

4.8

1.830

45

133.77

0.535

9.3

3.280

23

54.66

0.385

5.5

0.760

46

89.99

0.490

9.8

2.690

MS-EXCEL DATA FILE   

Perform principal component analysis.

Analysis Using SAS                                           Analysis Using SPSS                                               

 

 

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Descriptive Statistics
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Partially Confounded Design
Factorial Experiment with Extra Treatments
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Analysis of Covariance
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Cluster Analysis
Groups of Experiments
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Other Designed Experiments
    
(Under Development)

For exposure on SAS, SPSS, 
MINITAB, SYSTAT and
 
MS-EXCEL for analysis of data from designed experiments:

 Please see Module I of Electronic Book II: Advances in Data Analytical Techniques

available at Design Resources Server (www.iasri.res.in/design)