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Analysis of Data from Designed Experiments |
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Resolvable Block Design |
Example: An initial varietal trial was conducted to study the performance of 21 new strains of Toria vis-a-vis 3 checks using an alpha design at Pantnagar with three replications. 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. | Treatment | Treatment No. | ||
| RAU DT-01-03 | 1 | TK-06-1 | 9 | RH-0304 | 17 | ||
| RAU DT-01-02 | 2 | TK-06-2 | 10 | TH-0302 | 18 | ||
| BAUSM-92-24 | 3 | TL-2027 | 11 | JMT-05 | 19 | ||
| RGN 186 | 4 | TL-2013 | 12 | PT-303(NC) | 20 | ||
| EJ-17 | 5 | JMT-02-6 | 13 | Zonal Check | 21 | ||
| NPJ-112 | 6 | NDT 05-5 | 14 | PTC-99-14 | 22 | ||
| VLT-4 | 7 | NDRE 200216 | 15 | JD-6(check) | 23 | ||
| RRN-612 | 8 | PT-2004-3 | 16 | ORT 17-6-16 | 24 |
Note: strains of toria in boldface are the three checks, i.e., treatment numbers 20, 21 and 23 are checks.
Replication 1
| Block 1 | 1 (1555.6) | 5 (1160.5) | 9 (1308.6) | 13 (1382.7) | 17 (987.7) | 21 (1135.8) |
| Block 2 | 2 (1284.0) | 6 (1086.4) | 10 (1284.0) | 14 (1111.1) | 18 (938.3) | 22 (1308.6) |
| Block 3 | 3 (1234.6) | 7 (419.8) | 11 (1308.6) | 15 (963.0) | 19 (963.0) | 23 (987.7) |
| Block 4 | 4 (1234.6) | 8 (987.7) | 12 (1284.0) | 16 (913.6) | 20 (1160.5) | 24 (790.1) |
Replication
2| Block 1 | 1 (1481.5) | 6 (1086.4) | 11 (1308.6) | 16 (1284.0) | 19 (1111.1) | 22 (1185.2) |
| Block 2 | 2 (987.7) | 7 (308.6) | 12 (1234.6) | 13 (1308.6) | 20 (765.4) | 23 (938.3) |
| Block 3 | 3 (1012.3) | 8 (864.2) | 9 (1234.6) | 14 (938.3) | 17 (913.6) | 24 (864.2) |
| Block 4 | 4 (1135.8) | 5 (987.7) | 10 (987.7) | 15 (740.7) | 18 (963.0) | 21 (1135.8) |
Replication
3| Block 1 | 1 (1284.0) | 7 (333.3) | 12 (1135.8) | 15 (839.5) | 18 (814.8) | 24 (888.9) |
| Block 2 | 2 (1135.8) | 8 (913.6) | 9 (1456.8) | 16 (1037) | 19 (938.3) | 21 (1037.0) |
| Block 3 | 3 (963.0) | 5 (1209.9) | 10 (1259.3) | 13 (1234.6) | 20 (963.0) | 22 (1111.1) |
| Block 4 | 4 (1086.4) | 6 (765.4) | 11 (1111.1) | 14 (1037.0) | 17 (938.3) | 23 (938.3) |
Figures in the parenthesis gives the seed yield in kg/ha.
1. Perform the analysis of variance of the data to test whether there is any difference between treatment effects.
2. Obtain the adjusted treatment means.
3. Test whether there is any significant different treatment from the best performing test.
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