Statistical Methods-Non-Parametric Test (ISS Statistics Paper I (Old Subjective Pattern)): Questions 12 - 14 of 16

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Question number: 12

» Statistical Methods » Non-Parametric Test » Wilcoxon

Appeared in Year: 2012

Essay Question▾

Describe in Detail

Ten short-distance runners were put to a rigorous training for two months. Times taken by them to clear 100 metres before and after the training were as follows:

Sl. no. of runner

1

2

3

4

5

6

7

8

9

10

Time (in sec)

before

training

10.6

10.9

10.1

10.5

11.0

11.2

10.7

10.2

10.9

10.6

Time (in sec)

after

training

10.1

10.7

9.9

10.0

11.1

10.9

10.6

10.3

10.5

10.8

Use Wilcoxon’s paired sample signed rank test to examine at 1 % level if the training was at all effective. (The critical value of Wilcoxon’s statistic at 1 % level of significance for n = 10 is 5)

Explanation

In Wilcoxon’s paired sample signed rank test, the null hypothesis that we are sampling two continuous symmetric populations with μ~1=μ~2 for the paired-sample case, we rank the differences of the paired observations without regard to sign and proceed as in the single-sample case

Let… (265 more words) …

Question number: 13

» Statistical Methods » Non-Parametric Test » Run

Appeared in Year: 2013

Essay Question▾

Describe in Detail

Describe the run test for randomness. For the sequence of outcomes of 14 tosses of a coin,

HTTHHHTHTTHHTH, .

test whether the outcomes are in random order. (Given the lower and upper critical values R L = 3,

R u = 12 at 0.05 significance level. )

Explanation

Suppose a sample size n contains n 1 symbols of one type and n 2 symbols of the other type. The null hypothesis is the symbols occur in random order, the alternative is the symbols occur in a set pattern. The lower and upper critical value is obtained from tables.… (99 more words) …

Question number: 14

» Statistical Methods » Non-Parametric Test » Sign

Appeared in Year: 2011

Essay Question▾

Describe in Detail

Let the temperature before and after administration of aspirin be

Patient

Before

After

1

100.0

98.1

2

102.1

97.2

3

100.6

98.6

4

100.1

99.1

5

101.5

97.6

6

102

98.6

7

99.9

98.2

8

102.7

98.1

9

100.40

98.2

10

100.8

97.1

Test by the sign test; whether aspirin is effective in reducing temperature. What is the p-value of the calculated statistic?

Explanation

Let M 1 and M 2 is the median temperature of the patients. The hypothesis for test is

H0:M1=M2VsH1:M1M2

Fir this first find the difference of median

d0=M1… (210 more words) …

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