# ISS (Statistical Services) Statistics Paper IV: Questions 59 - 64 of 92

Access detailed explanations (illustrated with images and videos) to **92** questions. Access all new questions we will add tracking exam-pattern and syllabus changes. *Unlimited Access for Unlimited Time*!

View Sample Explanation or View Features.

Rs. 350.00 or

How to register?

## Question number: 59

» 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 known as BIBD if

(i) Each treatment occurs once and only once in r

… (521 more words) …

## Question number: 60

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

Appeared in Year: 2013

### Describe in Detail

What is a symmetrical BIBD? If N is the incidence matrix of SBIBD and ** ** 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 = block size

λ=number of blocks in which any pair of treatments occurs together

**To obtain the** **relation between N and** **λ****,** **If** **is the**

… (446 more words) …

## Question number: 61

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

Appeared in Year: 2013

### Describe in Detail

Explain the need of Factorial experiments. Develop a method to estimate all main effects and interaction effects of ** ** -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 Agric

… (1421 more words) …

## Question number: 62

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

Appeared in Year: 2011

### 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 size

λ=number of blocks in which any pair of treatments occurs together

For a SBIBD, any two blocks have exactly λ treatments in common.

To pr

… (451 more words) …

## Question number: 63

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

Appeared in Year: 2011

### Describe in Detail

Explain the layout of split plot designs. Write its model and assumptions. Give ANOVA table of sub-plot observations· (only df and sum of squares).

### Explanation

Layout of split plot designs:

The split plot is a design which involves assigning the levels of one factor to large plots and then assigning the levels of a second factor to subplots within each main plot.

The Larger plots are called main plots or whole plots and The factor levels allotted to the main plots are called main plot treatments.

The smaller

… (519 more words) …

## Question number: 64

» 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 the i^{th} row, i. e. the row containing

= total of known observations in the j^{th} column, i. e. the column co

… (504 more words) …