STATISTICAL METHODS
Teacher
Dr. Soumik Ray
Category
Core Courses
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Course Name: Statistical Methods
Code(Credit) : ASAS-1101(1-1-0)
Course Objectives
- To impart knowledge to the students on basic concepts and statistical techniques applied in agriculture and allied sciences.
Course outcome (CO-POs Mapping)
| COs | Course outcomes | Mapping COs with POs |
| CO1 | To enable the students to analyze data and draw appropriate statistical conclusions. | PO1, PO7 |
| CO2 | To recognize and examine the relationships between inputs and outputs in their agricultural field to make effective and profitable decisions. | PO1, PO9 |
| CO3 | Students will demonstrate an ability to engage in critical thinking by analyzing situations and constructing and selecting viable solutions to solve problems. | PO1, PO9 |
PO1 Knowledge Enhancement
PO7 Data Handling: Collect, analyze and interpret scientific data.
PO9 Computational Skills: Recognize, analyze problems and plan strategies for their solutions with the help of computer skills.
Course Syllabus
Theory
Introduction to Statistics, Definition, Advantages and Limitations
Frequency distribution: Construction of Frequency Distribution table.
Measures of Central Tendency: Definition, Characteristics of Satisfactory Average.
Arithmetic Mean, Median, Mode for grouped and ungrouped data – Merits and Demerits of Arithmetic Mean.
Measures of Dispersion: Definition, standard deviation, variance and Coefficient of variation.
Normal Distribution and its properties. Introduction to Sampling: Random Sampling, concept of standard error of Mean.
Tests of Significance: Introduction, Types of errors, Null hypothesis, level of Significance and degrees of freedom, steps in testing of hypothesis.
Large sample tests: Test for Means – Z-test, One sample and Two samples with population S.D. known and Unknown.
Small sample tests: Test for Means – One sample t – test, Two samples t-test and Paired t-test.
Chi-Square test in 2x2 contingency table with Yate‟s correction, F-test.
Correlation: Definition, types, properties, Scatter diagram, calculation and testing.
Regression: Definition, Fitting of two lines Y on X and X on Y, Properties, inter relation between correlation and regression.
Introduction to Experimental Designs, Basic Principles, ANOVA its assumptions.
Completely Randomized Design: Layout, Analysis with equal and unequal replications.
Randomized Block Design: Layout and Analysis.
Latin Square Design: Layout and Analysis.
Practical
Construction of Frequency Distribution tables
Computation of Arithmetic Mean for Grouped and Un-grouped data
Computation of Median for Grouped and Un-grouped data
Computation of Mode for Grouped and Un-grouped data
Computation of Standard Deviation and variance for grouped and ungrouped data
Computation of coefficient of variation for grouped and ungrouped data
SND (Z) test for single sample, Population SD known and Unknown
SND (Z) test for two samples, Population SD known and Unknown
Student‟s t-test for single and two samples
Paired t-test and F-test
Chi-square test – 2x2 contingency table with Yate‟s correction
Computation of correlation coefficient and its testing
Fitting of simple regression equations Y on X and X on Y
Completely Randomized Design: Analysis with equal and unequal replications
Randomized Block Design: Analysis
Latin Square Design: Analysis
Reference
Agriculture and Applied Statistics- I and II
Rangaswamy, R 1995. A Text-Book of Agricultural Statistics. New Age International (P) Ltd., Publishers, Hyderabad.
Nageswara Rao, G 2007. Statistics for Agricultural Sciences. B.S Publications, Hyderabad
Agrawal, B.L. programmed Statistics. 3rd Edition, New Age International Publishers, Hyderabad.
Gupta, S.C and Kapoor, V.K. Fundamental of Mathematical Statistics, Sultan Chand & Sons publication.
Session Plan
Session 1
(Lecture 1, 2)
Introduction to statistics, Definition, Advantages, and Limitation, Frequency distribution: Construction of Frequency distribution
Session 2
(Lecture 3)
Measures of Central tendency: Definition, Arithmetic mean, Median, Mode for grouped and ungrouped data- Merits, and demerits. Measures of Dispersion
Session 3
Lecture 4
Probabilities: Definition, Addition and multiplication theorem, problems based on probabilities, Binomial & Poisson Distributions, Normal distribution, and its properties
Session 4
Introduction to Sampling Methods, Sampling versus Complete Enumeration, Simple Random Sampling with and without replacement, Use of Random Number Tables for selection of Simple Random Sample
Session 5
Introduction to Test of Significance, One sample & two-sample test t for Means
Session 6
Chi-Square Test of Independence of Attributes in 2 ×2 Contingency Table
Session 7
Correlation: Definition, Types, properties, scatter diagram and testing
Session 8
Regression: Definition, Fitting of regression lines, properties, the relation between correlation and regression
Session 9
Introduction to experimental design, basic principles, ANOVA & its assumption
Session 10
Course e-Material
Our Main Teachers
Dr. Soumik Ray Assistant Professor and Hod Department of Agricultural Economics and Statistics Centurion University of Technology and Management, Odisha, India. Dr. Soumik Ray received the NCRTNFBASE-2020 Young Scientist Award in Agra, India, and the BASE Young Scientist Award during an international conference organised by BASE- Biology, Agriculture, SciTech, and Agriculture Congress Association (ICEGTABPS- 2021) […]
Dr. Tufleuddin Biswas completed his M.Sc. in Agricultural Statistics from Bidhan Chandra Krishi Viswavidyalaya, West Bengal. He also completed his Ph.D. from the same institution’s Department of Agriculture Statistics. He worked as a senior research fellow (SRF) on the Conservation Agriculture project funded by the Indian Council of Agricultural Research, National higher education project (ICAR- […]