Statistical Methods-Non-Parametric Test (ISS Statistics Paper I (Old Subjective Pattern)): Questions 1 - 6 of 16

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Question number: 1

» Statistical Methods » Non-Parametric Test » Wald-Wolfowitz

Appeared in Year: 2011

Essay Question▾

Describe in Detail

Explain the Wald-Wolfowitz run test for randomness in a sequence of two types of symbols. Find E Ho (R) where R denotes the number of runs of elements of one kind.

Explanation

Suppose we have two sample x 1, x 2, …x n and y 1, y 2, …, y m and we wish to test that either both sample come from same population or not. We can use Wald-Wolfowitz run test for randomness.

First we arrange n… (242 more words) …

Question number: 2

» Statistical Methods » Non-Parametric Test » Sign

Appeared in Year: 2010

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Describe clearly sign test. State its asymptotic relative efficiency with respect to t-test.

Explanation

Let x (1), x (2), …, x (n) be the ordered sample values from a population F (X) and M be its median.

Here we test H0:M=M0Vs.H1:MM0 where M 0 is the given value… (165 more words) …

Question number: 3

» Statistical Methods » Non-Parametric Test » Mann-Whitney

Appeared in Year: 2009

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wo drugs were given to two batches of 6 students. The numbers of days to get a complete cure are given below:

Durg A

6

7

8

9

12

16

Durg B

10

11

13

14

15

17

Using Mann-Whitney test decide whether the median days for cure by the two drugs are equal. (Table values of U - Statistic at 0.05 level are: U 5, 5 = 2, U 5, 6 = 3, and U 6, 6 = 5. )

Explanation

Let the Durg A consider the population X and Durg B consider the population Y. The hypothesis whether two sample comes from same identical population. We test the following null and alternative hypothesis is

H0:FX(x)=FY(x)Vs… (252 more words) …

Question number: 4

» Statistical Methods » Non-Parametric Test » Wilcoxon

Appeared in Year: 2009

Essay Question▾

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Ten experts have given scores of effectiveness on two teams A and B as given below.

Expert

Score on A

Score on B

1

7

9

2

4

5

3

8

8

4

9

8

5

3

6

6

6

10

7

8

9

8

10

8

9

9

4

10

5

9

Are the distribution of scores for group A above that of group B?

Explanation

Let n 1 be the number of scores of effectiveness on team A with median score m 1, and n 2 the number of scores of effectiveness on team B with median score m 2. Then the hypothesis is that the median score of the two teams are… (311 more words) …

Question number: 5

» Statistical Methods » Non-Parametric Test » Run

Appeared in Year: 2012

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Name two non-parametric tests for comparing locations of two correlated populations.

Explanation

The Wald-Wolfowitz runs test and Mann-Whitney U-test comparing locations of two correlated populations. Let the sample 1 consider the population X and sample 2 consider the population Y. The hypothesis whether two sample comes from same identical population. We test the following null and alternative hypothesis is

H0:… (28 more words) …

Question number: 6

» Statistical Methods » Non-Parametric Test » Wald-Wolfowitz

Appeared in Year: 2013

Essay Question▾

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The values of two random samples are arranged below in an increasing order with X denoting the value of sample I and Y denoting the value of sample 2:

XXXYXYYYYXXYXXXYXXYYY

Use Wald-Wolfowitz run test to test whether the two samples may be regarded as coming from a common population.

Explanation

Wald-Wolfowitz run test uses the data of two random samples, sample 1 is X variables of size n = 11 and sample 2 is Y variables of size m = 10 from two population F X (x) and F Y (y) respectively.

The hypothesis under the test is that the… (84 more words) …

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