ISS (Statistical Services) Statistics Paper IV: Questions 79 - 87 of 92

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Question 79

Appeared in Year: 2014

Describe in Detail Subjective▾

Explain clearly the purposes of replications, randomizations and local control in design of experiments.

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Explanation

Replication:

Replication means the repetition of the basic experiments. In other words, the repetition of the treatments under investigation is known as Replication. The main purpose of the replication is to average out the influence of the chance factors on different experimental units.

The main advantages of Replication:

(i) It provides an estimate …

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Question 80

Describe in Detail Subjective▾

Describe Randomized Block Design.

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Explanation

If large number of treatments are to be compared, then large number of experimental units are required. This will increase the variation among the responses and CRD may not be appropriate to use. In such a case when the experimental material is not homogeneous and there are v treatments to be compared, then it may be possible to

  • Group the experiment…

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Question 81

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Using the following data, perform a one way analysis of variance using . Write up the results in APA format.

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Explanation

Sample means for the groups:

Intermediate steps in calculating the group variances:

Image Shown Intermediate Step

Sum of squared deviations from the mean (SS) fo…

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Question 82

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Using the following summary data, perform a one way analysis of variance using

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Explanation

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Question 83

Describe in Detail Subjective▾

Explain Design of Experiments for Two-way classification.

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Explanation

Experiments with two or more factors: (Two-way classification) :

  • We consider only the complete block design.
  • Let there be J treatments and I blocks. Consider the two way classification model where J different treatments are applied to each of I different blocks so that each block contains exactly J treatment and each treatment is replicated exactly n

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Question 84

Describe in Detail Subjective▾

Suppose different brands of petrol are to be compared with respect to the mileage per liter achieved in motor cars

Important factors responsible for the variation in the mileage are

• difference between individual cars.

• difference in the driving habits of drivers

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Explanation

  • We have three factors – cars, drivers and petrol brands. Suppose we have types of cars denoted as 1,2, 3,4.
  • 4 drivers that are represented by a, b, c, d.
  • 4 brands of petrol are indicated by A, B, C, D.
  • Now the complete replication will require number of experim…

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Question 85

Describe in Detail Subjective▾

Explain the Case of rejection of for Analysis of variance for one way classification.

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Explanation

Case of rejection of :

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Question 86

Describe in Detail Subjective▾

Explain One-way classification with fixed effect linear models of full rank

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Explanation

  • The objective in the one way classification is to test the hypothesis about the equality of means on the basis of several samples which have been drawn from unilabiate normal populations with different means but the same variances.
  • Let there be p unilabiate normal populations and samples of different sizes are drawn from each of the population
  • Let

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Question 87

Describe in Detail Subjective▾

Describe Latin square.

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Explanation

Latin square:

  • A Latin square of order p is an arrangement of p symbols in cells arranged in p rows and p columns such that each symbol occurs once and only once in each row and in each column.
  • For example, to write a Latin square of order 4, choose four symbols – A, B, C and D. These letters are Latin letters which are used as sy…

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