ISS (Statistical Services) Statistics Paper IV: Questions 43  48 of 79
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Question number: 43
» Statistical Quality Control » Control Charts » Variable
Describe in Detail
Following data gives the diameter of the rings manufactured by a company. Obtain the Control limits for Rchart.
Sample No.

Observations
 
1

5.02

5.01

4.94

4.99

4.96

2

5.01

5.03

5.07

4.95

4.96

3

4.99

5.00

4.93

4.92

4.99

4

5.03

4.91

5.01

4.98

4.89

5

4.95

4.92

5.03

5.05

5.01

6

4.97

5.06

5.06

4.96

5.03

7

5.05

5.01

5.10

4.96

4.99

8

5.09

5.10

5.00

4.99

5.08

9

5.14

5.10

4.99

5.08

5.09

10

5.01

4.98

5.08

5.07

4.99 
Explanation
Sample No.

Observations

Total

Sample Mean

Range
 
1

5.02

5.01

4.94

4.99

4.96

24.92

4.98

0.08

2

5.01

5.03

5.07

4.95

4.96

25.02

5.00

0.12

3

4.99

5.00

4.93

4.92

4.99

24.83

4.97 
Question number: 44
» Design and Analysis of Experiments » Basic Principle of Experimental Design
Appeared in Year: 2013
Describe in Detail
For a PBIB design with parameters, b, r, k, , show that
Explanation
A PBIB design with m associate classes based on the association scheme is an arrangement of treatments into b blocks such that
(i) Each block contains k distinct treatments (k <
(ii) Each treatment occurs in r blocks
(iii) Any two treatments, which are ith associates
Question number: 45
» Design and Analysis of Experiments » Analysis and Layout of Completely Randomized Design
Appeared in Year: 2012
Describe in Detail
Discus symmetrical BIBD. For an SBIBD, under usual notations, show that
=
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
Question number: 46
» 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
Question number: 47
» Design and Analysis of Experiments » Analysis and Layout of Completely Randomized Design
Appeared in Year: 2011
Write in Short
Explain Randomized block design.
Question number: 48
» Design and Analysis of Experiments » Basic Principle of Experimental Design
Appeared in Year: 2015
Describe in Detail
Explain briefly the main principles of design of experiment and analogy in sample surveys with the corresponding concepts.
Explanation
The main principle of design of experiment is to study the sampling error. If these principles hold, the chance of getting a data set or a design which could be analyzed, with less doubt about structural nuisances, is higher as if the data was collected arbitrarily.
Principle 1: Fisher’s Principle