# Statistical Methods (ISS (Statistical Services) Statistics Paper I (Old Subjective Pattern)): Questions 70 - 72 of 72

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## Question number: 70

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

Appeared in Year: 2009

Essay Question▾

### Describe in Detail

Given the following data:

 x 0 1 3 f (x) 1 3 55

find a polynomial P (x) of degree 2 or less so that P (x) = f (x) at the tabulated values of x. Hence

approximate f (2).

### Explanation

Let the a polynomial is P (X) = kx 2 +lx + m, where k, l, m are constants which is determine by using Lagrange’s interpolation polynomial because the x values is not equal interval.

where

x 0 =0, x 1 =1 , , x 2 =3 and f (x 0) =1, f (x 1) =3, f (x 2) =55

The polynomial is

For f (2), the value is

at x = 2

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## Question number: 71

» Statistical Methods » Tests of Significance » Chi-Square

Appeared in Year: 2009

Essay Question▾

### Describe in Detail

Explain the method of testing normality by using chi-squared test.

### Explanation

Let X is a random variable follows normal distribution with mean µ and variance σ 2. The testing of null hypothesis is that the population variance σ 2 equals a specified value against one of the usual alternatives σ 2 < , σ 2 > , or σ 2 . The appropriate statistic on which to base our decision is the chi-squared statistic.

In chi square stati…

… (109 more words) …

## Question number: 72

» Statistical Methods » Association and Contingency

Appeared in Year: 2015

Essay Question▾

### Describe in Detail

Compute Yule’s coefficient of association (Q) and Yule’s coefficient of colligation (Y) for the following table:

 Disease on-set Yes No Medicine used A 19 587 B 193 2741

### Explanation

The frequencies for various attributes be show in this contingency table

 Medicine used Yes (A) No (a) A (B) (AB) (aB) B (b) (Ab) (ab)

(i) Yule’s coefficient of association is a relative measure of association between two attributes, for this question the attributes are No-TB and treatment. If (AB), (aB), (Ab)…

… (49 more words) …

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