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Analysis of Data from Designed Experiments |
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Randomized Complete Block Design |
Example 1: An initial varietal trial (Late Sown, irrigated) was conducted to study the performance of 20 new strains of mustard vis-a-vis four checks (Swarna Jyoti: ZC; Vardan: NC; Varuna: NC; and Kranti: NC) using a Randomized complete Block Design (RCB) design at Bhatinda with 3 replications. The seed yield in kg/ha was recorded. The details of the experiment are given below:
Yield in kg/ha
| Strain | Code | Replications | ||
| 1 | 2 | 3 | ||
| RK-04-3 | MCN-04-110 | 1539.69 | 1412.35 | 1319.73 |
| RK-04-4 | MCN-04-111 | 1261.85 | 1065.05 | 1111.36 |
| RGN-124 | MCN-04-112 | 1389.19 | 1516.54 | 1203.97 |
| HYT-27 | MCN-04-113 | 1192.39 | 1215.55 | 1157.66 |
| PBR-275 | MCN-04-114 | 1250.27 | 1203.97 | 1366.04 |
| HUJM-03-03 | MCN-04-115 | 1296.58 | 1273.43 | 1308.16 |
| RGN-123 | MCN-04-116 | 1227.12 | 1018.74 | 937.71 |
| BIO-13-01 | MCN-04-117 | 1273.43 | 1157.66 | 1088.20 |
| RH-0115 | MCN-04-118 | 1180.82 | 1203.97 | 1041.90 |
| RH-0213 | MCN-04-119 | 1296.58 | 1458.65 | 1250.27 |
| NRCDR-05 | MCN-04-120 | 1122.93 | 1065.05 | 1018.74 |
| NRC-323-1 | MCN-04-121 | 1250.27 | 926.13 | 1030.32 |
| RRN-596 | MCN-04-122 | 1180.82 | 1053.47 | 717.75 |
| RRN-597 | MCN-04-123 | 1146.09 | 1180.82 | 856.67 |
| CS-234-2 | MCN-04-124 | 1574.42 | 1412.35 | 1597.57 |
| RM-109 | MCN-04-125 | 914.55 | 972.44 | 659.87 |
| BAUSM-2000 | MCN-04-126 | 891.40 | 937.71 | 798.79 |
| NPJ-99 | MCN-04-127 | 1227.12 | 1203.97 | 1389.19 |
| SWARNA JYOTI(ZC) | MCN-04-128 | 1389.19 | 1180.82 | 1273.43 |
| VARDAN(NC) | MCN-04-129 | 1331.31 | 1157.66 | 1180.82 |
| PR-2003-27 | MCN-04-130 | 1250.27 | 1250.27 | 1296.58 |
| VARUNA(NC) | MCN-04-131 | 717.75 | 740.90 | 578.83 |
| PR-2003-30 | MCN-04-132 | 1169.24 | 1157.66 | 1111.36 |
| KRANTI-(NC) | MCN-04-133 | 1203.97 | 1296.58 | 1250.27 |
Note: Strains of mustard in bold are the four checks.
1. Perform the analysis of variance of the data to test whether there is any difference between treatment effects.
2. Perform all possible pair wise treatment comparisons and identify the best treatment i.e. the treatment giving highest yield. Also identify the other treatments which are non-significantly different from this treatment.
3. The varieties Swarna Jyoti (MCN-04-128), Vardan (MCN-04-129), Varuna (MCN-04-131) and Kranti (MCN-04-133) were check varieties and rest of them were strains. Test whether the performance of check varieties is significantly different from strains.
Analysis Using SAS Analysis Using SPSS
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
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for analysis of data from designed experiments:
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