Statistical Methods (ISS Statistics Paper I (Old Subjective Pattern)): Questions 13 - 17 of 72

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Question number: 13

» Statistical Methods » Measures of Location

Appeared in Year: 2010

Essay Question▾

Describe in Detail

Let F n (x) be the distribution function define by

Fn(x)={0;xnx+n2n;n<x<n1;xn

Is the lim F n (x) a distribution function? If not, why?

Explanation

The function F n (x) is a distribution function if

limnFn(x)=limnx+n2n

=limn(x2n+12)

=121

By the definition… (31 more words) …

Question number: 14

» Statistical Methods » Correlation Coefficient » Multiple Correlation

Appeared in Year: 2013

Essay Question▾

Describe in Detail

For a trivariate population, it is given that:

σ 1 =3, σ 2 =4, σ 3 =5, r 12 =0.7, r 13 =0.6, r 23 =0.4

Compute all partial and multiple correlation coefficients.

Explanation

Given that there are three variable X 1, X 2, X 3 for a trivariate population. The partial correlation coefficient is between any two variable eliminating the third variable. So, the parital correlation between X 1 and X 2 is

r12.3=r12r13… (343 more words) …

Question number: 15

» Statistical Methods » Tests of Significance » T-Test

Appeared in Year: 2014

Essay Question▾

Describe in Detail

Define power of a test and discuss its role in selecting the best test. Describe a test procedure for testing equality of means of two independent normal populations, when standard deviations are equal but unknown for small samples.

Explanation

Power of a test: The power function is the probability of rejection the null hypothesis when the alternative hypothesis is true. In statistical terms,

P(RejectH0H1)=1β

The quantity 1-β is called the power of the… (292 more words) …

Question number: 16

» Statistical Methods » Correlation Coefficient » Multiple Correlation

Appeared in Year: 2012

Essay Question▾

Describe in Detail

Define partial correlation coefficient r 12.3 between x 1 and x 2 eliminating from each the effect of x 3. Derive the expression for r 12.3 and comment on its usefulness in multivariate data analysis.

Explanation

Partial correlation coefficient defined as a association between any two variables out of a set of eliminating the other variable. Consider three variables X 1, X 2 and X 3. Now we want to find out the partial correlation coefficient r 12.3 between X 1 and X 2… (215 more words) …

Question number: 17

» Statistical Methods » Non-Parametric Test » Wilcoxon

Appeared in Year: 2009

Essay Question▾

Describe in Detail

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) …

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