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Analysis of Data from Designed Experiments

Randomized Complete Block Design

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       Analysis Using SAS

Analysis Using SPSS

 

Main Procedure is:

Start® All Programs ® SPSS for Windows® SPSS 15.0/ SPSS13.0/ SPSS10.0 (based on the version available on your machine) ® Enter data in Data Editor ® Analyze ® GLM ® Univariate  ® Height ® [puts Height under Dependent list: ] ® Tree®  [put Tree under Fixed Factor(s): ]   Rep ®[put Rep under Fixed Factor(s):]  Continue ® Model... [Opens Model dialogue box] ® Custom ® Build Term(s) ® Main effects  ®  [puts Rep, Tree under Model: ] ® Continue ® OK.

 

For performing the analysis, input the data in the following format. {Here call the Tree Specie Number as Tree and Replication as Rep.It may, however, be noted that one can retain the same name or can code in any other fashion}.

 

 

Following are the brief description of the steps along with screen shots.

·  Open Data editor: Start® All Programs ® SPSS for Windows® SPSS 15.0/ SPSS13.0/ SPSS10.0

· Enter data in SPSS Data editor. There are two views in SPSS Data Editor. In variable view, one can define the name of variables and variable types string or numeric and data view gives the spreadsheet in which data pertaining to variables may be entered in respective columns. 

 

 

 

· Once the data entry is complete, Choose Analyze from the Menu Bar. Now select Analyze® General linear Model ® Univariate.

 

 

 

 

 

 

 

·  This selection displays the following screen

 

 

· Select Height and send it to the Dependent Variable box; Tree and Rep may be selected for  Fixed Factor(s) box. After doing these the dialog box should be like this.

 

 

 

· Now define model as per design adopted to analyze the data. A Click on the model displays Univariate: Model dialog box. Click on custom then change the Build Terms as Main effects and send Tree(F) and Rep(F) to the Model box. One gets the following screen

 

 

 

 

· Click Continue to return back to the Univariate dialog box.

·              Now select postHoc option to select the desired multiple pairwise comparison procedure from the following screen:

 

 

· Before clicking OK one can check the options available there in the Univariate by clicking the Options button and can change there according to your requirements like significance level, Descriptive Statistics etc.

· Now for contrast analysis contrast should be defined in the syntax editor. After defining model click continue click paste syntax window will come automatically.

 

Write the following line. In the syntax editor.

 

/Lmatrix '1 2 3 4 10 vs 5 6 7 8 9' Tree 1 1 1 1 -1 -1 -1 -1 -1 1;

/Lmatrix 'within group 1' Tree 1 -1 0 0 0 0 0 0 0 0;

                                       Tree 1 1 -2 0 0 0 0 0 0 0;

                                       Tree 1 1 1 -3 0 0 0 0 0 0;

                                       Tree 1 1 1 1 0 0 0 0 0 -4;

/Lmatrix 'within group 2' Tree 0 0 0 0 1 -1 0 0 0 0;

                                       Tree  0 0 0 0 1 1 -2 0 0 0;

                                       Tree  0 0 0 0 1 1 1 -3 0 0;

                                       Tree  0 0 0 0 1 1 1 1  -4 0;

/Lmatrix '1 vs 2 3 4 5 6 7 8 9 10' Tree  9 -1 -1 -1 -1 -1 -1 -1 -1 -1;

/Lmatrix '1 2 3 4 vs 9' Tree 1 1 1 1 0 0 0 0 -4 0;

/Lmatrix'1 2 3 4 vs 10' Tree 1 1 1 1 0 0 0 0 0 -4;

/Lmatrix '5 6 7 8 vs 9' Tree 0 0 0 0 1 1 1 1 -4 0;

/Lmatrix  '5 6 7 8 vs 10' Tree 0 0 0 0 1 1 1 1 0 -4;

 

The following window will come.

 

 

 

  • Click  Run → All

 

 

To answer all the questions from 1 to 5, the following syntax may be used after creating the data file.

 

 

 

UNIANOVA

  Height  BY Tree Rep

  /METHOD = SSTYPE(3)

  /INTERCEPT = INCLUDE

  /POSTHOC = Tree ( DUNCAN LSD )

  /CRITERIA = ALPHA(.05)

/Lmatrix '1 2 3 4 10 vs 5 6 7 8 9' Tree 1 1 1 1 -1 -1 -1 -1 -1 1;

/Lmatrix 'within group 1' Tree 1 -1 0 0 0 0 0 0 0 0;

                                       Tree 1 1 -2 0 0 0 0 0 0 0;

                                       Tree 1 1 1 -3 0 0 0 0 0 0;

                                       Tree 1 1 1 1 0 0 0 0 0 -4;

/Lmatrix 'within group 2' Tree 0 0 0 0 1 -1 0 0 0 0;

                                       Tree  0 0 0 0 1 1 -2 0 0 0;

                                       Tree  0 0 0 0 1 1 1 -3 0 0;

                                       Tree  0 0 0 0 1 1 1 1  -4 0;

/Lmatrix '1 vs 2 3 4 5 6 7 8 9 10' Tree  9 -1 -1 -1 -1 -1 -1 -1 -1 -1;

/Lmatrix '1 2 3 4 vs 9' Tree 1 1 1 1 0 0 0 0 -4 0;

/Lmatrix'1 2 3 4 vs 10' Tree 1 1 1 1 0 0 0 0 0 -4;

/Lmatrix '5 6 7 8 vs 9' Tree 0 0 0 0 1 1 1 1 -4 0;

/Lmatrix  '5 6 7 8 vs 10' Tree 0 0 0 0 1 1 1 1 0 -4;

  /DESIGN = Tree Rep .  

 

Data File

Syntax File

Result File

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Analysis Using SAS                                                       Analysis Using SPSS                                     

         

 

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Descriptive Statistics
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Correlation and Regression
Completely Randomised Design
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Factorial RCB Design
Partially Confounded Design
Factorial Experiment with Extra Treatments
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Other Designed Experiments
   
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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)