Statistical Methods (ISS 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.

f(x)=(xx1)(xx… (322 more words) …

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 σ02 against one of the usual alternatives σ 2 < σ02, σ… (205 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),… (166 more words) …

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