AST 201: Agricultural Statistics
Credit Hours: 3 (2+1)
Full Marks: 75 (Theory: 50, Practical: 25)
Course Objectives
Upon completion of this course, students will be able to:
- Organize, analyze, and interpret agricultural data.
- Design experiments and apply statistical methods to analyze results.
- Prepare reports based on statistical analysis.
I. Syllabus Overview
- Overview of statistics and sampling methods
- Measures of central tendency and dispersion
- Frequency distribution and data presentation
- Probability and probability distributions
- Correlation and regression analysis
- Tests of significance (Z, t, χ² tests)
- Analysis of variance (CRD, RCBD, Latin Square, Factorial experiments)
II. Course Outline
A. Lecture Topics (30 Lectures)
| S.N. | Topics | No. of Lectures |
|---|---|---|
| 1 | Introduction to statistics: definitions, scope, and limitations | 1 |
| 2 | Population and sample: characteristics of a good sample, sampling methods (simple random, stratified, systematic, cluster, multistage), sampling error | 2 |
| 3 | Measures of central tendency: Arithmetic mean, Median, Mode, Quartiles, Deciles, Percentiles | 2 |
| 4 | Frequency distribution: exclusive & inclusive methods; diagrammatic representation (Bar, Pie), graphical methods (Histogram, Frequency Polygon, Frequency curve, Ogives) | 2 |
| 5 | Measures of dispersion: Range, Quartile Deviation, Mean Deviation, Standard Deviation, Variance, Coefficient of Variation; Moments, skewness, and kurtosis | 2 |
| 6 | Probability: definitions, sample space, events, classical & statistical probability; addition & multiplication theorems, conditional probability | 2 |
| 7 | Probability distributions: Binomial, Poisson, Normal distributions | 2 |
| 8 | Sampling distributions of mean and differences | 2 |
| 9 | Correlation: definition, types, scatter diagram, Karl Pearson’s coefficient | 2 |
| 10 | Regression: linear regression, equations of Y on X and X on Y, relation between correlation and regression coefficients | 2 |
| 11 | Tests of significance: introduction, hypothesis, null & alternative hypothesis, degrees of freedom, levels of significance, errors | 2 |
| 12 | Z-test: significance of means for large samples (one and two sample) | 2 |
| 13 | t-test: one sample, two samples, paired t-test; test for correlation coefficient | 2 |
| 14 | χ²-test: test of independence and goodness of fit | 2 |
| 15 | Analysis of variance: CRD, RCBD, Latin Square, factorial experiments (2² and 2³) | 9 |
| Total | 30 |
B. Practical Topics (15 Sessions)
| S.N. | Practical Activities | No. of Practicals |
|---|---|---|
| 1 | Measures of central tendency for ungrouped & grouped data (Mean, Median, Mode, Quartiles, Deciles, Percentiles) | 1 |
| 2 | Classification of data by exclusive & inclusive methods; diagrammatic representation (Bar, Pie charts) | 1 |
| 3 | Cumulative frequency table and graphical representation (Histogram, Frequency Polygon, Frequency Curve, Ogives) | 1 |
| 4 | Measures of dispersion for ungrouped & grouped data (Range, Quartile Deviation, Mean Deviation, Standard Deviation, Variance, Coefficient of Variation) | 1 |
| 5 | Measures of skewness and kurtosis | 1 |
| 6 | Probability and probability distributions: Binomial, Poisson, Normal distributions | 2 |
| 7 | Computation of correlation coefficient and regression equations of Y on X and X on Y | 1 |
| 8 | Tests of significance of means in large samples (Z-test: one & two sample) | 1 |
| 9 | Tests of significance in small samples (t-test: one, two, paired samples) | 1 |
| 10 | F-test: testing equality of two population variances | 1 |
| 11 | χ²-test: test of independence and goodness of fit | 1 |
| 12 | Analysis of variance: CRD, RCBD, Latin Square | 2 |
| 13 | Factorial experiments: 2² and 2³ factorial | 1 |
| Total | 15 |
References
- Agrawal, B.L. (1996). Basic Statistics (3rd Edition). New Age International Pvt. Ltd., New Delhi.
- Chandel, S.R.S. (1984). A Handbook of Agricultural Statistics. Achal Prakashan Mandir, Kanpur, India.
- Gupta, S.C., & Kapoor, V.K. (1988). Fundamentals of Applied Statistics. Chand & Company, New Delhi.
- Singh, S., & Verma, R.P.S. (1982). Agricultural Statistics. Rama Publishers, Meerut.
- Tripathi, P.N. (1991). A Manual on Introductory Agricultural Statistics. Tribhuvan University, IAAS, Chitwan, Nepal.
