Descriptive Statistics and Probability Theory

Paper Code: 
CSTT 101
Credits: 
4
Contact Hours: 
60.00
Max. Marks: 
100.00
Objective: 

This paper is designed to acquaint the students with the fundamental statistical techniques. To understand the role of statistics for analyzing and interpreting data meaningfully. This paper aims to familiarize the students with the handling of univariate and bivariate data.

Students will be able to:

Course

Learning outcomes (at course level

Learning and teaching strategies

Assessment Strategies

Paper Code

Paper Title

CSTT 101

Descriptive Statistics and Probability Theory

CO 1: Classify the data and prepare various diagrams and graphs.

 

CO 2: Effectively apply exploratory and descriptive data analysis techniques to gain insights and summarize data patterns.

 

CO 3: Apply mathematical principles to calculate moments and analyze the corresponding results.

 

CO 4: Apply correlation and simple linear regression model to real life examples.

 

CO 5: Identify the problem and apply appropriate laws of probability and Bayes theorem.

Approach in teaching:

Interactive Lectures,

Group Discussion,

Classroom Assignment

Problem Solving Sessions

 

Learning activities for the students:

Assignments

Seminar

Presentation

Subject based  Activities

Classroom Quiz

Assignments

Class Test

Individual Presentation

 

 

12.00
Unit I: 

Concepts of a statistical population and sample from a population, quantitative and qualitative data, nominal, ordinal and time-series data, discrete and continuous data. Presentation of data by tables and by diagrams, frequency distributions for discrete and continuous data, graphical representation of a frequency distribution by histogram and frequency polygon, cumulative frequency distributions (inclusive and exclusive methods).

12.00
Unit II: 

Measures of central tendency: Mean, Median and Mode. Partition Values. Measures of dispersion (Absolute and Relative measures): Range, Mean Deviation, Quartile Deviation and standard deviation.

12.00
Unit III: 

Moments: Raw and central moments and their relations, Measures of skewness and kurtosis. Principle of least square: Fitting of straight line, parabola and power curves.

12.00
Unit IV: 

Correlation: Types of Correlation, Methods of measuring correlation, Properties of correlation coefficient. Regression: Lines of regression, Properties of regression coefficient.

12.00
Unit V: 

Random experiment, sample point and sample space, event, algebra of events, Definition of Probability - classical, relative frequency and axiomatic approaches to probability, merits and demerits of these approaches (only general ideas to be given). Theorem on probability, conditional probability, independent events. Baye’s theorem and its applications.

Essential Readings: 
  • Goon, A.M., Gupta, M.K. and Dasgupta, B. (1991): Fundamentals of Statistics, Volume I, The World Press Pvt    Ltd , Calcutta
  • Gupta, S.C. and Kapoor ,V.K.(2000): Fundamentals of Mathematical Statistics, S Chand & Company, New Delhi.
  • Mood Alexander M., Graybill Frankline and Boes Duane C.(2007): Introduction to Theory ofStatistics, Mc Graw Hill &  Company Third Edition
References: 

SUGGESTED READINGS

  • Yule, G.Udny and Kendall,M.G. (1999): An Introduction to the theory of Statistics,14th Edition.
  • Hooda, R.P. (2002): Introduction to Statistics: Macmillan India Ltd. 1st edition.
  • Speigel M.R., (1967): Theory and Problem of Statistics, Schaum’s Series.
  • Meyer, P.L.(1970) : Introductory Probability and Statistical Application, Addision Wesley.
  • Rohatgi, V.K. and Saleh, A.K. Md. Ehsanes (2001): An Introduction to Probability Theory and Statistics, Second Edition, John Wiley andSons.
  • Bhat,B.R (1981): Modern Probability Theory, New Age Publishers, Third edition,

   

e-RESOURCES:

 

JOURNALS:

  • Sankhya The Indian Journal of Statistics, Indian Statistical Institute
  • Aligarh Journal of Statistics, Department of Statistics and Operations Research, Aligarh Muslim University
  • Afrika Statistika, Saint-Louis Senega University
  • International Journal of Statistics and Reliability Engineering, Indian Association for Reliability and Statistic
  • Journal of the Indian Society for Probability and Statistics, Indian Society for Probability and Statistics
  • Journal of the Indian Statistical Association, Indian Statistical Association
  • Statistica, Department of Statistical Sciences Paolo Fortunato, University of Bologna
  • Statistics and Applications, Society of Statistics, Computer and Applications
  • Stochastic Modeling and Applications, MUK Publications and Distributions

 

Academic Year: 
2023-2024
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