|
|
Analysis of Data from Designed Experiments |
|
|
Groups of Experiments |
Example2: An initial varietal trial was conducted to study
the performance of 9 new strains of Quality mustard
vis-a-vis 3 checks using an RCB design at Bathinda, Hisar,
IARI New Delhi, Ludhiana, Navgaon and TREI New Delhi with
three replications at each of the locations. The seed yield
in kg/ha was recorded. The details of strains, design
adopted and data obtained are given as under.
|
Treatment
|
Treatment
No. |
|
Treatment
|
Treatment
no. |
|
ELM-123
|
1
|
PRQ-2005-10 |
7
|
|
|
LET-5
|
2
|
RH(HO)
0501 |
8 |
|
|
VARUN(NC) |
3 |
ZONAL CHECK |
9 |
|
|
TERI
HOJ-48 |
4
|
LET-14-1
|
10
|
|
|
ELM-108
|
5
|
ELM-134
|
11
|
|
|
KRANTI(NC) |
6 |
RH(OH)
0502 |
12
|
Note: strains of quality
mustard in boldface are the three checks, i.e., treatment
numbers 3, 6 and 9 are checks.
The data for each of the
locations is given below.
|
|
|
Replication |
|
|
|
Replication |
||||
|
Location |
Treatment |
1 |
2 |
3 |
Location |
Treatment |
1 |
2 |
3 |
|
|
Bathinda |
1 |
1794 |
2014 |
2581 |
Hisar |
1 |
3286 |
2459 |
3286 |
|
|
2 |
1134 |
1736 |
1898 |
2 |
2518 |
2364 |
2364 |
|||
|
3 |
718 |
764 |
880 |
3 |
757 |
993 |
875 |
|||
|
4 |
1852 |
1551 |
1887 |
4 |
2553 |
2388 |
2884 |
|||
|
5 |
2245 |
2361 |
2407 |
5 |
2908 |
2482 |
2884 |
|||
|
6 |
1111 |
1065 |
1111 |
6 |
1797 |
1560 |
2033 |
|||
|
7 |
1181 |
880 |
1528 |
7 |
1749 |
1537 |
1537 |
|||
|
8 |
1644 |
1991 |
2060 |
8 |
1501 |
2317 |
2577 |
|||
|
9 |
1551 |
1435 |
1991 |
9 |
1513 |
1608 |
2104 |
|||
|
10 |
1968 |
1551 |
2569 |
10 |
2447 |
2459 |
2813 |
|||
|
11 |
2662 |
2338 |
3056 |
11 |
2600 |
2884 |
2648 |
|||
|
12 |
1065 |
1227 |
1343 |
12 |
1631 |
1466 |
1844 |
|||
|
|
Replication |
|
|
|
Replication |
|||||
|
Location |
Treatment |
1 |
2 |
3 |
Location |
Treatment |
1 |
2 |
3 |
|
|
IARI New Delhi |
1 |
2600 |
2444 |
2711 |
Ludhiana |
1 |
1370 |
1209 |
1320 |
|
|
2 |
3289 |
2667 |
2889 |
2 |
904 |
729 |
1007 |
|||
|
3 |
2756 |
2511 |
2400 |
3 |
858 |
942 |
839 |
|||
|
4 |
2600 |
2444 |
2222 |
4 |
904 |
959 |
1155 |
|||
|
5 |
2689 |
2422 |
2444 |
5 |
1438 |
1456 |
1695 |
|||
|
6 |
2578 |
2400 |
2222 |
6 |
873 |
959 |
946 |
|||
|
7 |
3178 |
3044 |
2889 |
7 |
848 |
639 |
643 |
|||
|
8 |
3244 |
2911 |
3111 |
8 |
1668 |
1770 |
1607 |
|||
|
9 |
2444 |
2222 |
2667 |
9 |
910 |
907 |
1081 |
|||
|
10 |
3156 |
2978 |
2756 |
10 |
1558 |
1606 |
1705 |
|||
|
11 |
2667 |
2267 |
2111 |
11 |
1508 |
1389 |
1447 |
|||
|
12 |
2689 |
2444 |
2289 |
12 |
1280 |
1207 |
1256 |
|||
|
|
Replication |
|
|
|
Replication |
|||||
|
Location |
Treatment |
1 |
2 |
3 |
Location |
Treatment |
1 |
2 |
3 |
|
|
Navgaon |
1 |
2233 |
2222 |
2222 |
TERI New Delhi |
1 |
1666 |
1333 |
2222 |
|
|
2 |
2222 |
2444 |
2722 |
2 |
1611 |
1389 |
1944 |
|||
|
3 |
2000 |
1778 |
1778 |
3 |
1389 |
1244 |
2056 |
|||
|
4 |
2667 |
3289 |
3333 |
4 |
1511 |
1778 |
1889 |
|||
|
5 |
2444 |
2000 |
2000 |
5 |
1644 |
1622 |
1711 |
|||
|
6 |
1778 |
1889 |
1556 |
6 |
1833 |
1822 |
2111 |
|||
|
7 |
1778 |
1722 |
1722 |
7 |
1788 |
2333 |
1711 |
|||
|
8 |
3000 |
2889 |
3222 |
8 |
1644 |
2220 |
2220 |
|||
|
9 |
1778 |
1611 |
1333 |
9 |
1889 |
1822 |
2444 |
|||
|
10 |
3778 |
3667 |
3556 |
10 |
2000 |
1556 |
1356 |
|||
|
11 |
3111 |
3111 |
3222 |
11 |
944 |
388 |
722 |
|||
|
12 |
2222 |
2000 |
2222 |
12 |
1488 |
1400 |
1356 |
|||
- Perform
the analysis of data for each of the locations
separately.
- Test
the homogeneity of error variances using
- Apply
Aitken’s transformation, if error variances are
heterogeneous.
- Perform
the combined analysis of the above data set considering
the locations as fixed effects.
/*this is useful for artificially created
environments*/
- Perform
the combined analysis of the above data set considering
the locations as random effects.
- Prepare
a Site Regression (SREG) or GGE Biplot.
Analysis Using SAS
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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)