 |
Analysis of Data from Designed Experiments |
 |
|
Augmented Design |
More Example>>
Example 1: An experiment was conducted at Directorate of Wheat Research during 2002-03 to compare the 54 new accessions with 4 check varieties to see whether any of the check varieties can be replaced by any of the new accessions. The experiment was conducted using an augmented randomized complete block design with 6 blocks each of size 13 such that each of 4 check varieties are allocated in each of the six blocks and accessions are allocated only once in the design. The data on 1000 grain weight in grams is given below:
|
BLOCK
1 |
BLOCK
2 |
BLOCK
3 |
|||||
|
ACCESSION
NUMBER/CHECK VARIETY |
1000
GRAIN WEIGHT(g) |
ACCESSION
NUMBER/CHECK VARIETY |
1000
GRAIN WEIGHT(g) |
ACCESSION
NUMBER/CHECK VARIETY |
1000
GRAIN WEIGHT(g) |
||
|
C-1 |
27.2 |
C-1 |
29.3 |
C-1 |
33.5 |
||
|
C-2 |
29.6 |
C-2 |
38.1 |
C-2 |
24.8 |
||
|
C-3 |
24.4 |
C-3 |
37.9 |
C-3 |
21.6 |
||
|
C-4 |
36.0 |
C-4 |
35.8 |
C-4 |
35.9 |
||
|
IC-028532 |
36.7 |
IC-036871 |
24.9 |
IC-060218 |
23.0 |
||
|
IC-028661 |
31.6 |
IC-036875 |
23.6 |
IC-060221 |
33.5 |
||
|
IC-028696 |
22.7 |
IC-036882 |
25.7 |
IC-060997 |
22.9 |
||
|
IC-028741 |
30.2 |
IC-036884 |
28.3 |
IC-063947 |
19.9 |
||
|
IC-028764 |
31.4 |
IC-036885 |
16.6 |
IC-066518 |
26.9 |
||
|
IC-028794 |
29.5 |
IC-041405 |
24.9 |
IC-073207 |
21.4 |
||
|
IC-028835 |
28.3 |
IC-042343 |
26.1 |
IC-073214 |
36.9 |
||
|
IC-028843 |
34.7 |
IC-042408 |
35.9 |
IC-073491 |
34.6 |
||
|
IC-028847 |
33.4 |
IC-042458 |
28.7 |
IC-073493 |
18.9 |
||
|
BLOCK
4 |
|
BLOCK
5 |
|
BLOCK
6 |
|||
|
ACCESSION
NUMBER/CHECK VARIETY |
1000
GRAIN WEIGHT(g) |
ACCESSION
NUMBER/CHECK VARIETY |
1000
GRAIN WEIGHT(g) |
ACCESSION
NUMBER/CHECK VARIETY |
1000
GRAIN WEIGHT(g) |
||
|
C-1 |
28.2 |
C-1 |
34.4 |
C-1 |
31.1 |
||
|
C-2 |
31.2 |
C-2 |
36.3 |
C-2 |
36.5 |
||
|
C-3 |
33.1 |
C-3 |
30.9 |
C-3 |
36.5 |
||
|
C-4 |
34.9 |
C-4 |
36.9 |
C-4 |
30.1 |
||
|
IC-079002 |
28.6 |
IC-082326 |
18.5 |
IC-1044601 |
36.5 |
||
|
IC-079007 |
25.5 |
IC-082330 |
18.3 |
IC-104604 |
24.8 |
||
|
IC-079008 |
25.4 |
IC-082335 |
31.2 |
IC-104607 |
39.2 |
||
|
IC-079027 |
19.9 |
IC-082336 |
29.0 |
IC-104609 |
32.5 |
||
|
IC-079034 |
20.9 |
IC-082338 |
27.9 |
IC-104610 |
29.2 |
||
|
IC-079037 |
25.5 |
IC-082343 |
23.5 |
IC-104611 |
34.4 |
||
|
IC-079047 |
27.9 |
IC-082351 |
27.5 |
IC-104612 |
39.9 |
||
|
IC-079048 |
27.0 |
IC-082352 |
27.9 |
IC-104613 |
24.3 |
||
|
IC-079050 |
22.8 |
IC-082362 |
28.9 |
IC-104614 |
34.6 |
||
Note: Here C-1, C-2, C-3 and C-4 are checks and IC-# is accession.
- Perform the Analysis of variance to test the significance of treatments (accessions and checks taken together).
- Test the equality of check variety, accession and accessions with check effects.
- Compare accessions with check varieties.
- Perform all possible pairwise comparisons of check varieties with each of the accessions and identify the best accession.
Analysis Using SAS Analysis Using SPSS Analysis Using SPAD
Home 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
Copyright Disclaimer How to Quote this page Report Error Comments/suggestions
(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)