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 » NonParametric Test » MannWhitney
Appeared in Year: 2009
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
Question number: 71
» Statistical Methods » Tests of Significance » ChiSquare
Appeared in Year: 2009
Describe in Detail
Explain the method of testing normality by using chisquared 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} > ,
Question number: 72
» Statistical Methods » Association and Contingency
Appeared in Year: 2015
Describe in Detail
Compute Yule’s coefficient of association (Q) and Yule’s coefficient of colligation (Y) for the following table:
 Disease onset  

 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 NoTB and treatment. If (AB),