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Analysis of Data from Designed Experiments

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Example: Data pertaining to area and production of coconut of Kerala state during period 1980-81 to 2005-06 are given below. (Data on area are given in ‘hectares (ha)’ and Production in ‘million nuts’ (mn).)

YEAR

AREA  ( in ha)

PRODUCTION (million nuts(mn))

80-81

651370

3008

81-82

666618

3006

82-83

674378

3184

83-84

682281

2602

84-85

687483

3453

85-86

704682

3377

86-87

706107

3173

87-88

775600

3346

88-89

816900

4215

89-90

832200

4358

90-91

870000

4232

91-92

863100

4641

92-93

877000

5124

93-94

882300

5192

94-95

911000

5336

95-96

914300

5155

96-97

902100

5276

97-98

884300

5210

98-99

882300

5132

99-00

925035

5680

00-01

925783

5536

01-02

905718

5479

02-03

899198

5706

03-04

898498

5876

04-05

898200

5727

05-06

898000

6326

MS-EXCEL DATA FILE 

(Source of the data: Directorate of Economics and Statistics, Thiruvananthapuram, Kerala, 2005-2006)

1.         Draw scatter plots of area and production versus time.

2.         If the scatter plots in question 1 are S-shaped, fit the nonlinear models viz. Logistic, Gompertz and Monomolecular for the given data.

3.         Predict the value of the year 2005-2006 for each dependent variable by using each model and also compute percentage (%) forecast error.  

Analysis Using SAS                                                         Analysis Using SPSS  

 

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Descriptive Statistics
Tests of Significance
Correlation and Regression
Completely Randomised Design
RCB Design
Incomplete Block Design
Resolvable Block Design
Augmented Design
Latin Square Design
Factorial RCB Design
Partially Confounded Design
Factorial Experiment with Extra Treatments
Split Plot Design
Strip Plot Design
Response Surface Design
Cross-Over Designs
Analysis of Covariance
Diagnostics and Remedial Measures
Principal Component Analysis
Cluster Analysis
Groups of Experiments
Non-Linear Models
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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)