Design and Analysis of ExperimentsRandomized Block and Latin Square Design (ISS Statistics Paper IV): Questions 1  7 of 10
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Question number: 1
» Design and Analysis of Experiments » Randomized Block and Latin Square Design
Appeared in Year: 2015
Describe in Detail
Discuss how you would proceed with the analysis if data on one plot is missing in a Latin Square design.
Explanation
To analysis the data of a Latin square design having missing values, we first estimate the missing value by minimizing the error mean square and the rest missing values by guess estimate which is generally the mean of all available values. The estimated value of x is obtain by to… (210 more words) …
Question number: 2
» Design and Analysis of Experiments » Randomized Block and Latin Square Design
Appeared in Year: 2010
Describe in Detail
Treatments N, P, K and S are administered in 4 blocks through 4 columns. The layout of design is as shown below:
Columns
N

P

K

S

P

K

S

N

K

S

N

P*

S

N

P

K

Blocks
Identify the above design. If the observation (*) in third row and fourth column is missing, how would you estimate the missing yield?
Explanation
This is a 4 x 4 Latin square design with one missing observation.
Estimation of the missing yield:
The observation in the (i^{th}) 3^{rd} row, (j^{th}) 4^{th} column is missing.
i. e.
m = number of rows or columns in the design (here… (164 more words) …
Question number: 3
» Design and Analysis of Experiments » Randomized Block and Latin Square Design
Appeared in Year: 2010
Describe in Detail
Define SBIBD. Show that for SBIBD, if the number of treatments is even then (r λ) is a perfect square.
Explanation
Block design in combinatorial mathematics is a set with family of subsets (repeated subsets are allowed at times) whose members are picked to satisfy set of properties deemed useful for a particular application.
An arrangement of the υ treatments in b blocks of k plots each (k < υ) is… (269 more words) …
Question number: 4
» Design and Analysis of Experiments » Randomized Block and Latin Square Design
Appeared in Year: 2009
Describe in Detail
Obtain an estimate of a missing observation in a Latin square design. How does the subsequent analysis differ from the usual case?
Explanation
Let us suppose that in Latin square, the observation occurring in the i^{th} row and j^{th} column and receiving the k^{th} treatment is missing.
Let us assume that its value is x, i. e. = .
= total of the known observations in… (177 more words) …
Question number: 5
» Design and Analysis of Experiments » Randomized Block and Latin Square Design
Appeared in Year: 2009
Write in Brief
Explain the term ‘connected’ in the context of block designs.
Question number: 6
» Design and Analysis of Experiments » Randomized Block and Latin Square Design
Appeared in Year: 2011
Describe in Detail
For symmetric BIBD, show that , where N is the incidence matrix of SBIBD.
Explanation
Let N= be the incident matrix of a SBIBD with parameters υ, b, k, r, λ. denotes the number of times the ith treatment occurs in the jth block then by Definition of BIBD
Where
, otherwise
By definition of BIBD
since… (123 more words) …
Question number: 7
» Design and Analysis of Experiments » Randomized Block and Latin Square Design
Appeared in Year: 2010
Describe in Detail
Describe under which situations a Latin square design can be preferred to completely randomised design and randomised block design, What are the merits and demerits of LSD?
Explanation
(i) Latin square design compared to completely Randomized design:
In CRD, we allocate the treatments at random to the experimental units, without the grouping of the experimental field. In some cases, this design suffers because of not having more information like other advanced designs. Since in CRD randomisation is not… (370 more words) …