Design and Analysis of Experiments (ISS Statistics Paper IV): Questions 14 - 19 of 36

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Question number: 14

» Design and Analysis of Experiments » Analysis and Layout of Completely Randomized Design

Appeared in Year: 2012

Essay Question▾

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Let four treatments be arranged in three blocks. The arrangement is given below:

Block 1: Equation

Block 2: Equation

Block 3: Equation

Identify the block design. Write its parameters. If the treatment Equation in Block 3 is missing, estimate the missing value. Write its ANOVA table.

Explanation

This is the Randomized block design. (RBD)

its parameters are t = treatments 4 and Blocks r = blocks = 3

Here i = 1, 2, 3, 4 and j = 1, 2, 3

Let the missing value be Equation in Block 3.

The method of estimating missing value

Calculate… (157 more words) …

Question number: 15

» Design and Analysis of Experiments » Need for Design of Experiments

Appeared in Year: 2010

Essay Question▾

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What is confounding in a factorial experiment? Explain why it is necessary. Enumerate the advantages and disadvantages for confounding.

Explanation

The process by which unimportant comparisons are mixed up with the block comparisons, for assessing more important comparisons with greater precision is called confounding. It is also defined as the technique of reducing the size of a replication over a number of blocks at the cost of losing some information… (250 more words) …

Question number: 16

» Design and Analysis of Experiments » Randomized Block and Latin Square Design

Appeared in Year: 2010

Essay Question▾

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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: 17

» Design and Analysis of Experiments » Basic Principle of Experimental Design

Appeared in Year: 2013

Essay Question▾

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What is a symmetrical BIBD? If N is the incidence matrix of SBIBD and Equation is the number of treatments common in any two blocks, then establish a relation between N and λ.

Explanation

Symmetrical BIBD:

A BIBD is said to be symmetric if b = υ and r = k

υ, r, b, k and λ are called the parameters of the BIBD

υ= number of varities or treatments

b = number of blocks

r = number of replicates for each treatment

k… (163 more words) …

Question number: 18

» Design and Analysis of Experiments » Need for Design of Experiments

Appeared in Year: 2013

Essay Question▾

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Explain the need of Factorial experiments. Develop a method to estimate all main effects and interaction effects of Equation -factorial experiment. Give its ANOVA table.

Explanation

Need of Factorial experiments:

A factorial design is used to understand the effect of two or more independent variables upon a single dependent variable. Several factors affect simultaneously the characteristic under study. Factorial experiments helps to study the main effects and the interaction effects among different factors.

For example, in… (572 more words) …

Question number: 19

» Design and Analysis of Experiments » Basic Principle of Experimental Design

Appeared in Year: 2011

Essay Question▾

Describe in Detail

Discuss symmetrical BIBD. For a SBIBD, show that any two blocks have exactly λ treatments in common.

Explanation

A BIBD is said to be symmetric if b = υ and r = k.

υ, r, b, k and λ are called the parameters of the BIBD

υ= number of varities or treatments

b = number of blocks

r = number of replicates for each treatment

k = block… (167 more words) …

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