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Analysis of Data from Designed Experiments

Tests of Significance Based on T - Distribution

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                                                                                                                                                                                      Analysis Using SAS

Analysis Using MS-EXCEL

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 → Compare means → Independent-Samples T test → group [puts group under Grouping Variable: ] → nfs45 → fw → syp → sl [puts nfs45, fw, syp,  sl under Test Variables(s): ] →   Define Groups →  Continue → Run All.

 

For performing analysis, input the data in the following format. 

{Here Number of fruit (45 days) is termed as nfs45, Fruit weight (kg) is termed as fw, seed yield/plant (g) is termed as syp and Seedling length (cm) is termed as sl. 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. In the present case, we enter data in numeric format.

 

 

 

 

 

To test whether the mean of the population of Seed yield/plant (g) is 200 or not use the following steps.

 

  • Choose Analyze from the Menu Bar. Now select Analyze → Compare Means → One-Sample T Test…

 

  • This selection displays the following screen.

 

 

  • Select syp and send it to the test variable(s): box and define the Test Value as 200. This displays the following screen.

 

  • Click OK.

 

To Test whether the natural pollination and hand pollination under open field conditions are equally effective or are significantly different.

 

·         Choose Analyze from the Menu Bar. Now select Analyze → Compare Means → Independent-Samples T Test...

 

 

  • This selection displays the following screen.

 

·         Select group and send it to the Grouping Variables box; nfs45, fw, syp,  sl under Test Variables(s) box. After doing these the dialog box should be like this

 

 

 

·    Select Define Groups in the Independent-Samples T Test dialog box i.e. Define Groups… [Opens Define Group dialogue box] → Use Specified values Define Groups as 1 and 2. This selection displays the following screen.

 

 

·         Click Continue to return to the Independent-Samples T Test dialog box.  

 

 

  • Click OK.

 

To answer the question number 3 one has to perform the one tail t-test. The easiest way to convert a two-tailed test into a one-tailed test is take half of the p-value provided in the output of
2-tailed test output for drawing inferences. 

 

 To answer the questions 1 and 2 the following syntax may be used after creating the data file.

 

T-TEST

  /TESTVAL = 200

  /MISSING = ANALYSIS

  /VARIABLES = syp

  /CRITERIA = CI(.95) .  

T-TEST

  GROUPS = group(1 2)

  /MISSING = ANALYSIS

  /VARIABLES = nfs45 fw syp sl
/CRITERIA = CI(.95) .
  

 

 

  Data File

  Syntax File

  Result File

 

 

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Analysis Using SAS                       Analysis Using SPSS                     Analysis Using MS-EXCEL                      

 

 

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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)