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 1-converted

Lecture 1

Lecture 2 - link1, link2, link 3

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 2-converted

Lecture 3

Session 3

Lecture 4

Probabilities: Definition, Addition and multiplication theorem, problems based on probabilities, Binomial & Poisson Distributions, Normal distribution, and its properties

session 3-converted

Lecture 4

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 4-converted

Lecture 5

Session 5

Introduction to Test of Significance, One sample & two-sample test t for Means

session 5-converted

Lecture 6

Session 6

Chi-Square Test of Independence of Attributes in 2 ×2 Contingency Table

session 6-converted

Lecture 7

Session 7

Correlation: Definition, Types, properties, scatter diagram and testing

session 7-converted

Lecture 8

Lecture 9

Session 8

Regression: Definition, Fitting of regression lines, properties, the relation between correlation and regression

session 8-converted

Lecture 10

Lecture 11

Session 9

Introduction to experimental design, basic principles, ANOVA & its assumption

session 9-converted

Lecture 12

Lecture 13

Session 10

Completely Randomized Design: layout and analysis

session 10-converted

Lecture 14

Lecture 15

Session 11

Randomized Block Design: Layout and Analysis

session 11-converted

Lecture 16

Session 12

Latin Square Design: layout and Analysis

session 12-converted

Lecture 17

Course e-Material

SM E-Material

Our Main Teachers

Dr. Soumik Ray

Assistant Professor
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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- […]