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Analysis of Data from Designed Experiments |
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Latin Square Design |
Example: An experiment was conducted at Agricultural Research Station, Kopurgaon, Maharashtra on cotton during the year 1969-1970 using a Latin Square Design to study the effects of foliar application of urea in combination with insecticidal sprays on the cotton yield. The 6 treatments were {T1 : Control (i. e. no N and no insecticides), T2 :100kg N/ha applied as urea (half at final thinning and half at flowering as top dressing), T3: 100kg N/ha applied as urea(80 kg N/ha In 4 equal split doses as spray and 20 kg N/ha at final thinning), T4:100 kg. N/ha applied as CAN (half at final thinning and half at flowering as top dressing), T5 : T2 + six insecticidal sprays, T6 : T4 + six insecticidal sprays}. There were 6 replication, and the data of cotton in kg per plot is:
|
T3
3.10 |
T6
5.95 |
T1
1.75 |
T5
6.40 |
T2
3.85 |
T4
5.30 |
|
T2
4.80 |
T1
2.70 |
T3
3.30 |
T6
5.95 |
T4
3.70
|
T5
5.40 |
|
T1
3.00 |
T2
2.95 |
T5
6.70 |
T4
5.95 |
T6
7.75 |
T3
7.10 |
|
T5
6.40 |
T4
5.80 |
T2
3.80 |
T3
6.55 |
T1
4.80 |
T6
9.40 |
|
T6
5.20 |
T3
4.85 |
T4
6.60 |
T2
4.60 |
T5
7.00 |
T1
5.00 |
|
T4
4.25 |
T5
6.65 |
T6
9.30 |
T1
4.95 |
T3
9.30 |
T2
8.40 |
(i)
Perform the analysis of the data and identify the best
treatment.
(ii)
Test whether the average effect of T3(100kg N/ha applied as
urea) and T4
(100 kg N/ha ) is same as the average effect of T5(T2 + six insecticidal sprays) and
T6(T4
+ six insecticidal sprays).
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Incomplete Block Design Resolvable Block Design Augmented Design Latin Square Design Factorial RCB Design
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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
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)