Statistics ( Total Marks - 100 )
- Basic Probability Axiomatic definition of probability, random variable, distribution function, probability density function, mathematical expectation; conditional probability, jointly distributed random variables, marginal and conditional distributions, conditional expectation, stochastic independence.
- Some Special Distributions : Binomial, poisson. negative binomial, hypergeometric, normal distributions with their derivation of their mean and variance; Definition and Application of chisquare, "T" and 'F' distributions.
- Statistical Inference: Maximum likelihood estimation of the mean and the variance of a normal population; confidence interval for mean, difference of means and for variance: testing hypothesis for the equality of two means (paired and unpaired observations); testing of equality of sever al means (ANOVA) and testing of variance and equality of two variance.
- Correlation and regression: Simple linear regression model point and interval estimation of parameters, Simple Partial, Multiple Correlation and testing of these correlations.
- Sampling, Simple random, stratified, systematic and cluster sampling, estimates of mean and total and their precision.
- Applications of Statistics in social, economic and political problems public health, crimes, Law, social innovations economic development, socio-political inequality.
Suggested Readings
-
- Title
- Author
-
- 1
- Introduction to the Theory of Statistics
- Mood, Graybill and Boes
-
- 2
- Mathematical Statistics
- Freund
-
- 3
- Mathematical Statistics
- Hood and Craig
-
- 4
- Sampling Techniques (3e)
- Cochran and Cox
-
- 5
- Statistics: An Introductory Analysis
- Yamane
-
- 6
- Statistics: A Guide to the Unknown
- Tanur; Hudith (ed)
Check other Subjects and Syllabus below:
Compulsory Subjects
General Knowledge
-
- 4
- Everyday Science
- 100
-
- 5
- Current Affairs
- 100
-
- 6
- Pakistan Affairs
- 100
-
- Total Marks:
- 600
Optional Subjects:
(subjects carrying a total of 600 marks to be selected)
Group A
Subjects carrying not more than 200 marks can be opted.
Note: Business Administration cannot be opted in combination with Public Administration
-
- 1
- Accounting & Auditing
- 200
-
- 2
- Economics
- 200
-
- 3
- Business Administration
- 100
-
- 4
- Public Administration
- 100
Group B
Subject/s carrying not more than 200 marks can be opted.
-
- 1
- Political Science
- 200
-
- 2
- Agriculture
- 100
-
- 3
- Forestry
- 100
-
- 4
- Sociology
- 100
-
- 5
- Journalism
- 100
Group C
Subjects carrying not more than 200 marks can be opted.
-
- 1
- Pure Mathematics
- 200
-
- 2
- Applied Mathematics
- 200
-
- 3
- Computer Science
- 100
-
- 4
- Statistics
- 100
Group E (History Subjects )
Subjects carrying not more than 200 marks can be opted.
-
- 2
- Indo Pak History
- 200
-
- 3
- British History
- 200
-
- 4
- European History
- 200
-
- 5
- History of the USA
- 100
Group F
Subject/s carrying not more than 200 marks can be opted.
Note: International Law CANNOT BE opted in combination with International Relations.
-
- 1
- Law
- 200
-
- 2
- Constitutional Law
- 100
-
- 3
- Mercantile Law
- 100
-
- 5
- International Law
- 100
-
- 6
- International Relations
- 100
Group I (National and Foreign Languages )
Subjects carrying not more than 200 marks can be opted.
National/Foreign/Classical Languages: Not more than one of 4 subjects can be opted. Note: Urdu can not be combined with Regional Languages.
-
- 1
- English Literature
- 200
-
- 2
- Urdu
- 200
-
- 3
- Persian
- 200
-
- 4
- Arabic
- 200
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