B.Sc. Statistics
1st Semester Syllabus
Select Paper in this Semester
MJC-1 : Descriptive Statistics (वर्णनात्मक सांख्यिकी)
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Unit 1: UNIT I
◦Statistical Methods: Definition and scope of Statistics
◦Concepts of population and sample
◦Data: quantitative and qualitative
◦Variables
◦Frequency and non frequency
◦Scales of measurement: nominal
◦Ordinal
◦Interval and ratio
◦Presentation of data: tabular and graphical including histogram
◦Ogives and box plot
Unit 2: UNIT II
◦Measures of Central Tendency: mathematical and positional, their relative merits and demerits
◦Measures of Dispersion: range
◦Quartile deviation
◦Mean deviation
◦Standard deviation
◦Coefficient of variation
◦Moments
◦Absolute moments
◦Factorial moments
◦Skewness and kurtosis
◦Sheppard's corrections
Unit 3: UNIT III
◦Bivariate data: Definition
◦Scatter diagram
◦Karl Pearson product moment correlation coefficient and its properties
◦Rank correlation
◦Partial and multiple correlation (3 variables only)
◦Simple linear regression
◦Properties of regression coefficients
◦Principle of least squares and fitting of polynomials and exponential curves
Unit 4: UNIT IV
◦Theory of Attributes: Notations
◦Dichotomy
◦Classes & class frequency
◦Consistency of data and its conditions of independence of attributes
◦Criterion of independence
◦Association of attributes
◦Yule's coefficient of association
Reference Books:
- Goon A.M., Gupta M.K. and Dasgupta B. (2002): Fundamentals of Statistics, Vol. I & II, The World Press, Kolkata.
- Miller, Irwin and Miller, Marylees (2006): John E. Freund's Mathematical Statistics with Applications, Pearson Education, Asia.
- Mood, A.M. Graybill, F.A. and Boes, D.C. (2007): Introduction to the Theory of Statistics, Tata McGraw-Hill Pub. Co. Ltd.
- Gupta, S. C. and Kapoor, V. K. (2020): Fundamentals of Mathematical Statistics, S. Chand & Sons, New Delhi.