bhu msc statistics entrance test topics weightage
There are only 40 seats available in BHU MSc Stat. two yrs course , and eligibility is graduation with statistics with minimum 50%.
There are 120 questions for 360 marks. Scoring 190+ will be enough to get admission.
The syllabus for entrance exam is as under:-
Probability
- Conditional Probability
- Unconditional Probability
- Approaches to probability - Classical approach to probability, Relative frequency approach to probability, Richard Von Mises approach to probability, Cramer and Kolmogorov’s approach to probability
- Sample Space - Discrete sample space, Continuous sample space
- Event - Operation of Event, Independent Events, Mutually Exclusive Events
- Random Experiment
- Trial
- Bayes's theorem and its application
- Random Variables
- Moment generating functions
- Probability generating functions
- Chesbyshev’s inequality and its application
Distributions
- Uniform Distribution
- Binomial Distribution
- Poisson distribution
- Geometric Distribution
- Hyper-geometric Distribution
- Continuous univariate distributions
- Normal Distribution
- Exponential Distribution
- Gamma and Beta Distribution
Types of Data
- Qualitative and quantitative Data
- Discrete and Continuous data
- Primary and Secondary data
- Presentation of Data
- Construction
- Diagrammatic
- Graphical representation
- Bar diagram
- Ogive diagram
- Histogram
- Frequency Polygon
- Measures of central tendency
- Dispersion
- Relative Dispersion
- Absolute Dispersion
- Bivariate Data
- Scatter diagram
- Correlation coefficient
- Rank correlation
- Spearman’s and Kendall’s measures
- Multivariate Data
- Multiple correlations in three variables
- Partial correlation in three variables
- Regression lines
- Regression coefficient
- Principal of least squares
- Analysis of Categorical Data
Sampling
- Random sample
- Point estimate of a parameter
- Concept of bias and standard error of an estimate
- Tests of significance based on Chi- square
- Testing for the mean and variance of Univarite
- Sample tests
- Use of central limit theorem for testing and interval estimation
- Fisher’s Z transformation
- Non- Parametric tests
- Wilcoxon- Mann- Whitney test
- Run- test
- Median- test
Sample Surveys
- Concept of population and sampling
- Census and sample survey
- Sample selection
- Sample size
- Non-Sampling error
- Simple random sampling
- Stratified random sampling
- Systematic sampling
Linear programming
- Elementary theory of convex sets
- General linear programming problems (LPP)
- Graphical and simplex method of solving LPP
- Transportation Problems
- Assignment problems
Introduction to computers
- Basic set of an electronic computer
- CPU
- Input devices
- Output devices
- Need of computers in statistics
- Binary number system
- Machine
- Language
- Basic commands to operate a computer
- Ms- Office Tools
Demographic Methods
- Sources of demographic data
- Measurement of mortality
- Measurement of fertility
- Economic statistics
- Index number
- Simple aggregative methods
- Weighted average methods
- Lasperey’s, Passche’s and Fisher’s index numbers
Time series Analysis
- Economic time series
- General theory of control charts
- Process control chars for variables (X, R and S Charts)
- Control chart for attributes (np, p and c charts)
- Hypothesis
- Statistical hypothesis
- Simple and composite hypothesis
- Statistical hypothesis
- Null and alternative hypothesis
- Parameter models
- Parameter space
- Point Estimation
- Interval estimation
- Concepts of confidence interval and confidence coefficient.