# Statistical Analysis Syllabus (PDF)

Here I am going to provide you **Statistical Analysis Syllabus pdf** so that you can increase your basic knowledge of Statistical Analysis and you can prepare for your exam easily.

## Statistical Analysis Syllabus

**UNIT-I**

**COMBINATORICS**: Permutation and Combination, Repetition and Constrained Repetition,

Binomial Coefficients, Binomial Theorem.

**UNIT-II**

Frequency distributions, Histograms and frequency polygons, Measures of central tendency:

Mean, Mode, Median, Dispersion, Mean deviation and standard deviation. Moments, Skewness, kurtosis,

**UNIT-III**

**Elementary probability theory**: Definition, conditional probability, Probability distribution,

mathematical expectation

**Theoretical distribution**: Binomial , Poisson and Normal distribution, Relation between the

binomial, poisoned Normal distribution.

**UNIT-IV**

**Correlation and Regression**: Linear Correlation, Measure of Correlation, Least Square

Regression lines.

**Curve fitting**: Method of least square, least square line, least squares Parabola. Chi-square test: definition of chi-square; signification test: contingency test, coefficient of contingency.

**UNIT-V**

**Basic of sampling theory**: Sample mean and variance, students t-test, test of Hypotheses and significance, degree of freedom, Z-test, small and large sampling, Introduction to Monte Carlo method.

**TEXT BOOKS:**

- Advanced Engineering Mathematics: H.K. Dass; §. Chand & Co., 9 Revised Edition, 2001.
- Discrete Mathematics: S.K. Sarkar; S. Chand & Co., 2000.
- Numerical Analysis: S.S. Sastry; Prentice Hall of India, 1998.
- Mathematical Statistics: J.N. Kapoor and H.C. Saxena.
- Mathematical Statistics: M. Ray and H. Sharma

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