Statistical MethodsAssociation and Contingency (ISS (Statistical Services) Statistics Paper I (Old Subjective Pattern)): Questions 1  4 of 4
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Question number: 1
» Statistical Methods » Association and Contingency
Appeared in Year: 2014
Describe in Detail
A medicine supposed to have effect in preventing TB was treated on 500 individuals and their records were compared with the records of 500 untreated individuals as follows. Study the effectiveness of medicine by calculating (i) Yule’s coefficient of association (ii) Yule’s coefficient of colligation.
  NoTB  TB 
Treated  252  248 
Untreated  224  276 
Explanation
The frequencies for various attributes be show in this contingency table
  NoTB (A)  TB (a) 
Treated (B)  (AB)  (aB) 
Untreated (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), (aB),
Question number: 2
» Statistical Methods » Association and Contingency
Appeared in Year: 2013
Describe in Detail
Out of 200 persons appeared for an examination, 80 % were males and the rest were females. Among 30 married males, 14 were successful; 110 unmarried males were successful. In respect of 10 married females, 4 were successful; 20 unmarried females were successful. Compute Yule’s coefficient of association between success in the examination and the marital status for males as well as females.
Explanation
Out of 200 persons appeared for an examination, 160 males and 40 are females.
The frequencies for various attributes be show in this contingency table
Male  Successful (A)  unsuccessful (a) 
married (B)  (AB) =14  (aB) =16 
unmarried (b)  (Ab) =110  (ab) =20 
Female  successful (A)  unsuccessful (a) 
married (B)  (AB) 
Question number: 3
» Statistical Methods » Association and Contingency
Appeared in Year: 2014
Describe in Detail
The runs scored by two batsmen A and B in five cricket matches were as follows:
Batsmen A: 50 60 100 70 20
Batsmen B: 120 100 30 20 40
Discuss the consistency and efficiency of the batsmen.
Explanation
The mean of batsmen A is
The variance of the batsmen A is
The coefficient of variation is
The mean of batsmen B is
The variance of the batsmen B is
The coefficient of variation is
Since the average of
Question number: 4
» 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),