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

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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 11.2 10.7 10.2 10.9 10.6 Time (in sec) after training 10.1 10.7 9.9 10 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 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 and represent the median… (203 more words) …

Question number: 13

» Statistical Methods » Non-Parametric Test » Run

Appeared in Year: 2013

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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

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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

Fir this first find the difference of median

Also find the difference of temperature of before and after

d i 2.1 4.9 2.0 1.0 3.9 3.4 1.7 4.6 2.4 3.7… (131 more words) …

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