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Analysis of Data from Designed Experiments

Split Plot Design

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Analysis Using SPSS

   Analysis Using SAS 

 

The analysis of the data is performed using PROC GLM of SAS. The SAS commands are given in the sequel.

 

Data Input:

For performing analysis, input the data in the following format. {Here one can call the replication as rep, main-plot treatments as ms (method of sowing) and sub-plot treatments as mt (manorial treatment). (It may, however, be noted that one can retain the same name or can code in any other fashion).

 

Prepare a SAS data file using

 

data splitplot;           /*one can enter any other name for data*/;

input rep  ms  mt yield;

cards;

1          1          1          4940

1          1          2          4810

1          1          3          5150

1          1          4          5090

1          1          5          5130

1          1          6          5140

1          2          1          4900

1          2          2          4920

1          2          3          5070

1          2          4          4890

1          2          5          5150

1          2          6          5070

2          1          1          4830

2          1          2          5110

2          1          3          4920

2          1          4          4900

2          1          5          4880

2          1          6          4930

2          2          1          5020

2          2          2          5110

2          2          3          5230

2          2          4          5120

2          2          5          5160

2          2          6          5200

3          1          1          5080

3          1          2          5160

3          1          3          5180

3          1          4          5190

3          1          5          5160

3          1          6          5280

3          2          1          5090

3          2          2          5130

3          2          3          4980

3          2          4          5200

3          2          5          4920

3          2          6          5250

;

 

Perform the analysis of the data using the following statements.

 

proc glm;

class rep ms mt;

model yield=rep ms rep*ms mt ms*mt;

test h= ms e = rep*ms;

means ms /lsd e=rep*ms;

means mt ms*mt/lsd;

lsmeans ms*mt/pdiff;

run;

 

Note: In the test statement H = numerator for source of variation and

                                            E = denominator source of variation

 

One can use TUKEY or Scheffe in place of lsd for making all possible pairwise comparisons. Statement  means mt ms*mt/lsd; gives only means and standard deviations for level combinations of ms and mt. For pairwise comparison of level combinations of ms and mt, the statement lsmeans ms*mt/pdiff is used. One may, however, compute only the means from the software and compute the minimum significant differences using the given formulae on the click of mouse.

 

Data File

Result File

 

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  Analysis Using SAS                                                  Analysis Using SPSS                                                

 

 

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Descriptive Statistics
Tests of Significance
Correlation and Regression
Completely Randomised Design
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Incomplete Block Design
Resolvable Block Design
Augmented Design
Latin Square Design
Factorial RCB Design
Partially Confounded Design
Factorial Experiment with Extra Treatments
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Strip Plot Design
Response Surface Design
Cross Over Design
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 Resource Server (www.iasri.res.in/design)