MSM1204 - Statistical Methods

HNGU M.SC. MATHEMATICS SEMESTER - 2 

MSM1204 – STATICAL METHODS 

Unit 1: 

• Descriptive Statistics and Correlation 
• [Revision:Measures of location: Mean, Median,Mode] 
• Percentiles, Quartiles; 
• Measures of Variability: Range, Inter-quartile Range, Variance,
• Standard Deviation, Coefficient of Variation,
• Measures of Distribution Shape,
• Relative Location and Detecting Outliers,
• Measures of Association Between Two Variables; Covariance, Correlation

Unit 2: 

• Probability Distribution 
• [Revision: Probability: Basic probability concepts,
• Methods for assigning probability,
• Events and their probability, addition rule,
• Conditional probability,
• Multiplication rule & Bayes’ theorem (statement only)] 
• Random variable, Discrete and continuous random variable, 
• Expected value and variance of random variable,
• Probability distribution, Binomial distribution, Poisson distribution,
• Hypergeometric distribution, Uniform distribution, Normal distribution,
• Normal approximation of Binomial, exponential distribution,
• Relationship between Poisson and Exponential distribution

Unit 3: 

• Statistical Inference- Sampling methods, sampling distribution,
• Central limit theorem(statement only), 
• Point and interval estimation,
• Sampling distribution of sample mean, sampling distribution of sample proportion,
• Hypothesis tests: Null & alternative hypothesis, Type I & II errors, 
• Test of hypothesis about population proportion,
• Sampling distribution and test of hypothesis about difference between two population means.

Unit 4: 

• Regression- Introduction to Regression,
• Simple linear Regression Model; least Square Method,
• Coefficient of Determination,
• Correlation Coefficient.

Download Reference Books:

1. Statistics for business and economics - Anderson & Sweeney & Williams, 9th edition.

2. Business statistics using Excel - Glyn Davis & Branko Pecar, OXFORD University press (Indian ed).

3. Statistical Methods by S.P. Gupta.

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