STATISTICS CSS SYLLABUS (100 MARKS)
Part – I (50 Marks)
I. Descriptive Statistics
- Definition
- Importance and scope of Statistics
- Descriptive and Inferential Statistics
- Presentation of the Data
- Tables
- Graphs
- Charts
- Stem-and-leaf diagram
- Box and Whisker Plots
- Measures of Central Tendency / Location
- Measures of Dispersion / Variability
- Measures of Skewness
- Measures of Kurtosis
II. Basic Probability
- Basic Probability Concepts
- Additive laws of Probability
- Multiplicative laws of Probability
- Joint and Marginal Probabilities
- Conditional Probability
- Statistical Independence
- Bayes’ rule
- Concept of a Random Variable
- Mathematical Expectations
- Discrete Random Variables
- Continuous Random Variables
- Probability Distribution
- Mean and Variance of a Discrete Probability Distribution
III. Probability Distributions
- Discrete Probability Distributions
- Continuous Probability Distributions
- Properties and applications of
- Binomial distribution
- Poisson distribution
- Hyper-geometric distribution
- Normal Distribution and its properties
- Standard Normal Curve
- Normal approximation to Binomial distribution
- Normal approximation to Poisson distribution
IV. Regression Analysis & Correlation Analysis
- Concepts of Regression and Correlation and their application
- Simple Linear Regression
- Multiple Linear Regression (up to three variables)
- Estimation of the parameters of simple regression model
- Method of least squares
- Inference regarding regression parameters
- Correlation
- Correlation Coefficient
- Properties of Correlation Coefficient
- Inference regarding correlation coefficient
- Partial Correlation
- Multiple Correlation Coefficients (up to three variables)
V. Non-Parametric Methods
- Parametric versus non-parametric tests
- When to use non-parametric procedures
- One-sample tests
- Sign test
- Wilcoxon signed ranks tests
- Kolmogorov-Smirnov test
- Run test
- Tests for two related samples
- Sign test
- Run tests
- Chi-square test
- Test for two independent samples
- Mann-Whitney test
- Kolmogorov-Smirnov test
Part – II (50 Marks)
I. Sampling & Sampling Distributions
- Population and Sample
- Advantages of Sampling
- Sampling Design
- Probability Sampling techniques
- Non-Probability Sampling techniques
- Simple Random Sampling
- Stratified Sampling
- Systematic Sampling
- Cluster Sampling
- Multiphase Sampling
- Multistage Sampling
- Purposive Sampling
- Quota Sampling
- Convenience Sampling
- Accidental Sampling
- Sampling with replacement
- Sampling without replacement
- Application of Central Limit Theorem in Sampling
- Sampling Distribution of Mean
- Sampling Distribution of difference between two Means
- Sampling Distribution of Proportion
- Sampling Distribution of difference between two Proportions
- Sampling Distribution of Variance
II. Statistical Inferences
- Estimation
- Point Estimation
- Properties of a good Estimator
- Interval Estimation
- Interval Estimation of
- Single population mean
- Single population proportion
- Difference between two means
- Difference between two proportions
- Hypothesis Testing
- Types of errors
- Hypothesis testing for population mean
- Inferences for difference between two population means
- Inferences for difference between means of two normal populations using independent samples (variances assumed equal)
- Inference for two population means using paired samples
- Hypothesis testing for single population proportion
- Hypothesis testing for difference between two population proportions
- Estimation of sample size
- Analysis of categorized data
- Goodness of fit tests
- Contingency tables
- Test of independence in contingency tables
III. Design of Experiments
- One-way Analysis of Variance
- Two-way Analysis of Variance
- Design of Experiments
- Treatment
- Replication
- Blocking
- Experimental Units
- Experimental Error
- Basic Principles of Design of Experiments
- Completely Randomized Design (CRD)
- Randomized Complete Block Design (RCBD)
- Multiple Comparison tests
- LSD test
IV. Population Analysis & Vital Statistics
- Population and Demographic Methods
- Sources of Demographic data
- Basic Demographic Measures
- Sex Ratio
- Child Women Ratio
- Vital Index
- Crude Birth Rates
- Specific Birth Rates
- Crude Death Rates
- Specific Death Rates
- Total Fertility Rates
- Net Reproduction Rates
- Official Statistics
- Statistical Systems in Pakistan
- Functions of Statistics Division
- Bureaus of Statistics
- NADRA
- National Income
- Gross Domestic Product
- Saving and Wealth
- Index Numbers
FPSC RECOMMENDED BOOKS List for STATISTICS CSS SYLLABUS
| S. No. | Title | Author |
|---|---|---|
| 1 | Principles and Procedures of Statistics | Steel, R. and Torrie, J.H. |
| 2 | Probability and Statistics for Engineers and Scientist | Walpole, R.E., Myers, R.H. and Myers, S.L. |
| 3 | Introduction to Statistical Theory, Part-I & II | Chaudhry, S.M. and Kamal, S. |
| 4 | Introduction to Probability Theory and Statistical Inference, 3rd Edition | Larson, H.J. |
| 5 | Design and Analysis of Experiments | Montgomery, D.C. |
| 6 | Fundamentals of Modern Statistical Methods | Wilcox, R. |
| 7 | Biostatistical Analysis | Zar, J.H. |
| 8 | Latest Statistical Methods | Vaidyanathan, M. |
| 9 | Statistical Methods | Aggarwal, Y.P. |
| 10 | Mathematical Statistics | Freund, John E. |
| 11 | Demographic Methods | Andrew Hinde |
| 12 | Publications of Federal Board of Statistics and Provincial Board of Statistics, Pakistan | Govt. of Pakistan |
FPSC Official STATISTICS CSS SYLLABUS
Here is the link to the STATISTICS CSS SYLLABUS on the FPSC official website
