ISS Statistics Paper IV: Questions 49 - 54 of 79

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Question number: 49

» Design and Analysis of Experiments » Analysis of Variance for 1 Way and 2 Way Classifications

Appeared in Year: 2012

Essay Question▾

Describe in Detail

What is a 23 factorial experiment? Discuss a method to estimate all main effects and interaction effects considering replication size r. Also, write its ANOVA table.

Explanation

23Factorial experiment:

The 23factorial experiment is a two level factorial experiment design with three factors. Let us consider A, B, C as the three factors under study. Then This design tests three main effects (A, B and C) and three, two factorial effects (AB, BC, AC)… (1357 more words) …

Question number: 50

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

Appeared in Year: 2010

Essay Question▾

Describe in Detail

Discuss the layout for 23 factorial experiment with suitable illustration, how would you carry out the analysis of such a design?

Explanation

Here we will have 3 factors each at two levels. Let A, B, C be three factors under study and let small letters a, b, and c represent the two levels of each of the corresponding factors. say,

( a0,a1), (b0,b… (912 more words) …

Question number: 51

» Design and Analysis of Experiments » Analysis of Covariance

Appeared in Year: 2009

Essay Question▾

Describe in Detail

What is the use of analysis of covariance? Give the general procedure of analysis of covariance for a RBD, stating the necessary assumptions.

Explanation

Analysis of Covariance (ANCOVA) : Extension of ANOVA gives way of statistically controlling the (linear) effect of variables one does not want to examine and the extraneous variables are called covariates, or control Variables. It allows removing covariates from the list of possible explanations of variance in the dependent variable.… (406 more words) …

Question number: 52

» Design and Analysis of Experiments » Analysis of Covariance

Appeared in Year: 2010

Essay Question▾

Describe in Detail

Discuss the procedure for carrying out the analysis and testing procedure by means of ANOVA table for two-way classification.

Explanation

Two-way ANOVA technique is used when there are two factors, which may affect the variate values. For example, the agricultural output may be affected by difference in treatments on the basis of seeds and also on the different fertilizers used.

Let there be two factors A and B which affect… (1165 more words) …

Question number: 53

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

Appeared in Year: 2010

Essay Question▾

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

Design and Analysis of Experiments

Latin Square Designs

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 (ith) 3rd row, (jth) 4th column is missing.

i. e. yijk=Pismiss… (329 more words) …

Question number: 54

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

Appeared in Year: 2013

Essay Question▾

Describe in Detail

Identify the design given below, whose blocks are:

(1, 2, 3, 4); (2, 3, 4, 1) and (4, 1, 2, 3).

Write its parameters. Suppose a treatment ‘3’ belonging to 3rd row and 4th column is missing. How can you estimate that missing treatment? Estimate that value. Write degrees of freedom for error and total variation.

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

The method of estimating the missing value:

let us consider the missing value as x belonging… (527 more words) …

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