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Analysis of Data from Designed Experiments

Augmented Design

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Analysis Using SPAD

To test the equality of check variety effects, accession effects and to compare accessions with check varieties, treatment contrast analysis is to be performed therefore, for ease of understanding, recode the accession number and check variety as follows:

C1

1

 

 

 

 

 

 

N3

7

C2

2

N4

8

C3

3

N5

9

C4

4

N6

10

N1

5

N7

11

N2

6

N8

12

 

Here C1, C2, C3 and C4 are checks and N1 to N8 is accession.

  • Analysis of data through an augmented block design through SPAD requires following steps:

 

  • Create a data file in SPAD format (for creation of data file in a specified format, the treatments are renumbered as 1, 2, ..., u, u + 1, ..., u + w. Here first u treatments are the control treatment(s) and u+1, ... ,  u + w are the test treatments. Data file contains at least three columns, first column represents block number, second column represents treatment number and third column consists of observed value of character. If there are more than one character to be analyzed, then these can be entered in fourth column onwards. There is no limitation on the number of characters present in the file. All these data values must be separated by a SPACE or a TAB.), and open it in SPAD Editor. The format of the data file for the example is given as

 

  • Select the sub-option Analyze Block Design from menu Option Augmented Design. This will display a dialog box for specifying the character to analyze. (This box will only appear if data file has more than one character.)

 

  • Once data file is prepared and opened in the SPAD window, execute analysis module from menu by selecting Option Analyze Block Design. As there is only one character to be analyzed, therefore, a click on the Analyze Block Design option displays the analysis consisting of ANOVA tables (Block Adjusted and Treatments Adjusted), R2, Coefficient of Variation, Root MSE, General Mean and adjusted treatment means (see fig below)

 

 

  • After this analysis, experimenter can also carry out the partitioning of treatment sum of squares into various components of interest viz. (i) among test treatments, (ii) among control treatments and (iii) among test treatments vs control treatments. These options are available in sub-option Contrast Analysis on menu Option Augmented Design.

 

If the data is generated from an augmented design in which each of the control treatments appear equally often in all the blocks, then the option Augmented CB design can be used for obtaining partitioned sum of squares and critical differences for performing all possible paired treatment comparisons. In this case, it is an augmented randomized complete block design, therefore, one can select the option augmented CB design.

 

 

  • In the Dialog box define the Total controls present in the data set.

 

  • This will display Sum of Squares, Mean square, F-Cal and Prob>F for (i) among test treatments, (ii) among control treatments and (iii) among test treatments vs control treatments contrasts. Four Critical Differences (CD) will also be listed at 1% and 5% level of significance.

 

 

Data File

 

Result File1 File2

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Analysis Using SAS                              Analysis Using SPSS                      Analysis Using SPAD                       

         

 

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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 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)