FPSC Statistics CSS Syllabus (100 Marks) Pdf Download
The Statistics CSS Syllabus is a 100 marks optional subject divided into two parts of 50 marks each. Analyze the syllabus with Statistics CSS Past Papers to see how FPSC has tested probability, distributions, regression, hypothesis testing, sampling, and design of experiments.
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
