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Statistics: Definition, scope and its limitations. Introduction to sampling, Random sampling vs. non-random sampling, Types of sampling, Simple random sampling, stratified random sampling, systematic cluster sampling, Distributions, sampling error, Classification and tabulation of data.
Project work: Collection of data from primary/secondary course, compilation in spreadsheet, tabulation and graphical presentation. Presentations & Report submission. - Assignment -1
Measures of Central Value: Mean, Median, Mode, harmonic mean and geometric mean. Merits, Limitations and Suitability of averages. Relationship between averages.
Practice Sessions on problems (solve using Excel)
Measures of Dispersion: Meaning and Significance. Absolute and Relative measures of dispersion - Range, Quartile Deviation, Mean Deviation, Standard Deviation, Coefficient of Variation, Moments, Skewness, Kurtosis, Which Measure of Dispersion to Use?
Practice Sessions on problems (solve using Excel)- Assignment-2
Correlation Analysis: Meaning and significance. Correlation and Causation, Types of correlation. Methods of studying simple correlation - Scatter diagram, Karl Pearson’s coefficient of correlation, Spearman’s Rank correlation coefficient.
Regression Analysis: Meaning and significance, Regression vs. Correlation, Linear Regression, Regression lines (X on Y, Y on X) and Standard error of estimate.
Practice Sessions (solve problems using Excel)- Assignment-3
Probability: Meaning and need. Theorems of addition and multiplication. Conditional probability. Bayes’ theorem, Random Variable- discrete and continuous. Probability Distribution: Meaning, characteristics (Expectation and variance) of Binomial, Poisson, and Normal distribution. Central limit theorem.
Practice Sessions (solve problems using Excel)- Assignment-4
Hypothesis testing: Concept, Level of Significance, Steps of hypothesis testing, Test of hypothesis concerning Mean; Test of hypothesis Normal Z test & t test for single mean. Using Non-parametric statistics for hypothesis testing.
Practice Sessions (solve problems using Excel)- Assignment-5
Data Presentation - Data compilation (excel worksheet), Presentation (array, stem & leaf display), Tabulation, Frequency table, Relative Frequency, Bivariate table, Graphical presentation
The students will be guided in the class to choose a topic, finalise an objective, choose a data collection technique, prepare a questionnaire, collect data, compile & present the data. Use of excel and powerpoint for the exercise will be practiced.
Presentation on the project assigned. Report Submission.
Measures of Central Tendency- Introduction, Definition and Objectives, Requisites of a Good Average, Types of Averages: Arithmetic Mean, Median, Mode, Geometric Mean and Harmonic Mean, Advantages and limitation, Which average to use.
Measures of Central Tendency - Mean – Arithmetic Mean (Grouped Data & Ungrouped Data), Weighted Mean, Median (Grouped Data & Ungrouped Data), Mode (Grouped Data & Ungrouped Data)
Use of Excel for the problems
Measures of Dispersion - Range, Quartiles, Interquartile range, Percentile
Measures of Dispersion - Mean Deviation, Variance, Standard Deviation, Relative dispersion (Coefficient of Variation), Kurtosis and Skewness
Measures of Dispersion - Range, Quartile Deviation, Interquartile range, Percentile, Mean Deviation, Variance, Standard Deviation, Coefficient of Variation
Use of Excel for the problems
Correlation Analysis - Introduction, Significance of the Study of Correlation, Types of Correlation- Scatter diagram, Methods of Studying simple Correlation, Karl Pearson’s coefficient of correlation, Spearman’s Rank correlation coefficient.
Regression Analysis - Difference between Correlation & Regression, Regression Analysis (X on Y, Y on X), Standard error of estimate
Correlation and Regression analysis
Use of Excel sheet
Correlation and Regression by using excel- https://www.youtube.com/watch?v=9WvINKYWpPE
How to Calculate a Correlation in Microsoft Excel - Pearson's r -https://www.youtube.com/watch?v=8a_etQN-qso
How to calculate Spearman's correlation coefficient https://youtu.be/DE58QuNKA-c
Spearman's coefficient EXAMPLE: http://egyankosh.ac.in/bitstream/123456789/20449/1/Unit-7.pdf
Probability- Probability, Conditional Probability, Bayes Theorem
Probability distribution - Probability distribution, Discrete Probability distribution, Continuous Probability distribution, Normal distribution, Binomial distribution, Poisson distribution, Central Limit theorem
Previous year question papers and Assignments
Hypothesis Testing - Meaning of Hypothesis, Formulation of Hypothesis, Standard error, Type I and II error
Assignment - Practice problems, Use of Excel
Give live data to the students & Make students formulate a hypothesis, test the hypothesis
Professor in Management and an enthusiast learner with teaching and research experience of 20 years. Research interests and publications in the area of Rural entrepreneurship, Banking, Women entrepreneurship. Have been a part of many training and research projects. “SUCCESS IS NO ACCIDENT. IT IS HARD WORK, PERSEVERANCE, LEARNING, STUDYING, SACRIFICE AND MOST OF […]
Dr. Bibhunandini Das is working as Associate Professor in Economics in the school of management, Centurion University of Technology and Management, Odisha. Dr Bibhunandini Das has obtained her PhD from the Centre for Development Studies, Jawaharlal Nehru University, New Delhi in 2015. Prior to joining CUTM, she has worked with Indian Institute of Public Health, […]