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- To develop the students ability to deal with numerical and quantitative issues in statistics
- To enable the use of statistical, graphical and algebraic techniques.
- To have a proper understanding of Statistical applications in Fisheries.

- Describe and discuss the key terminology, concepts tools and techniques used in statistical analysis.
- Critically evaluate the underlying assumptions of analysis tools
- Understand and critically discuss the issues surrounding sampling and significance
- Discuss critically the uses and limitations of statistical analysis
- Solve a range of problems using the techniques covered
- Conduct basic statistical analysis of data.

**Theory**- Definition of statistics, Concepts of population, sample, Census and sample surveys,Classification of data, frequency and cumulative frequency table.Diagrammatic and graphicalrepresentation of data - bar diagrams, pie-diagram, histogram, frequency polygon, frequencycurve and Ogives. Important measures of central tendency - arithmetic mean median and mode.Relative merits and demerits of these measures. Important measures of dispersion, Range, MeanDeviation, Variance and Standard Deviation. Relative merits and demerits of these measures.Coefficient of variation; Normal Curve, Concepts of Skewness and kurtosis. Definitions of probability, mutually exclusive and independent events, conditional probability,addition and multiplication theorems.Random variable, concepts of theoretical distribution;Binomial, Poisson and Normal distributions and their use in fisheries. Basic concept of samplingdistribution; standard error and central limit theorem. Introduction to statistical inference, generalprinciples of testing of hypothesis, types of errors. Tests of significance based on Normal, t, andChi-square distributions. Bivariate data, scatter diagram, simple linear correlation, measure andproperties, linear regression, equation and fitting; relation between correlation and regression,Length weight relationship in fishes; applications of linear regression in fisheries. Methodologyfor estimation of marine fish landings in India, Estimation of inland fish production in India andproblems encountered.
**Practical**- Construction of questionnaires and schedules.Diagrams and frequency graphs.Calculationof arithmetic mean, median, mode, range, mean deviation, variance, standard deviation. Exerciseson probability, Binomial and Poisson distributions, Area of normal curve ,confidence interval forpopulation mean, Test of hypothesis based on normal, t, and chi-square. Computation of Simplecorrelation and regression.Fitting of length - weight relationship in fishes.

**Reference Book**- Sampling theory of surveys with applications –P.V. Sukhatme and V.Sukhatme
- Statistics , a introducing –D.A.S. Fraser
- Statistics for biologists --- R.C. Compbell
- A first coerces in statistics with application ---A.K.P.C. Swain
- Economics of bio statistics --- S.Prassad
- Fundamental of mathematics statistics ---S.C.Gupta / V.K.Kapoor
- Fisheries statstics ----R.C.Biradar

Definition and scope of statistics

Definition of statistics and fisheries statistics

Importance and scope of fisheries statistics

Limitations of statistics

Concept of sample and population

Basic concepts and collection of data

Definition of Sample Survey and Complete census,

Advantages of survey over complete census,

Classification of data,

Frequency distribution and cumulative frequency distribution

Diagrammatic and graphical representation of data

Merits and demerits of graphical representation

Representation of data through Bar-diagram, Pie diagram, histogram frequency polygon, frequency curve and ogives.

Practical- Guidelines for constructing questionnaire and schedule

Construction of questionnaire and schedule

Diagrams and frequency graphs (bar diagram, Pie-diagram and histogram

Measures of central tendency

Concept of measures of central tendency

Merits and demerits

https://www.youtube.com/watch?v=EG_LUhmsVFY&list=PLLgJVrtHe9RppCDT5Nf0Pdz95i1N81zyG

Definition of mean, median and mode

Merits and demerits of mean, median and mode

Calculation of mean, median and mode

https://www.youtube.com/watch?v=EG_LUhmsVFY&list=PLLgJVrtHe9RppCDT5Nf0Pdz95i1N81zyG

Measures of dispersion:

Concept and definition of measures of dispersion

Definition of range, mean deviation, standard deviation and variance

Merits and demerits,

Calculation of range, mean deviation and standard deviation

https://www.youtube.com/watch?v=EG_LUhmsVFY&list=PLLgJVrtHe9RppCDT5Nf0Pdz95i1N81zyG

Practical- Calculation of mean, median and mode

Calculation of range, mean deviation and standard deviation

Definition of co-efficient of variation,

Application of co-efficient of variation,

Measurement of co-efficient of variation

Definition of skewness and kurtosis

Measurement of skewness and kurtosis

Definition of Probability

Terms used in definition of probability ( random experiment, event and trials,

exhaustive cases and favourable cases, mutually exclusive event).

https://www.youtube.com/watch?v=nqPS29IvnHk

Definition of skewness and kurtosis

Measurement of skewness and kurtosis

Definition of Probability

Terms used in definition of probability ( random experiment, event and trials,

exhaustive cases and favourable cases, mutually exclusive event).

https://www.youtube.com/watch?v=nqPS29IvnHk

Practical- Exercise on probability

Fitting of binomial distribution in fisheries

- Definition of theoretical distribution
- Definition of binomial distribution
- Fitting of binomial distribution in fisheries,
- Definition of poison distribution,
- Probability mass function of poison distribution and properties of poison distribution

Application of poison distribution in fisheries and fitting of poison distribution

Definition normal distribution and properties of normal distribution

Normal probability curve and concept of standard normal variate

Application of normal distribution in fisheries

https://www.youtube.com/watch?v=nqPS29IvnHk

Concept of sampling distribution and standard error

Important uses of standard error,

Central limit theorem

Concept of Statistical inference

Definition of simple and composite hypothesis

Definition of point and interval estimation

- Practical- Testing of hypothesis based on normal distribution
- Testing of hypothesis based on chi-square distribution
- Testing of hypothesis based on t-distribution

https://www.youtube.com/watch?v=9PkYISeHHI4

General principles of testing of hypothesis,

Definition of statistical hypothesis, null hypothesis, alternative hypothesis, type-I and type-II error

Level of significance, degrees of freedom

Definition of critical region, one tailed and two tailed test Concept of chi-square distribution

Definition of chi-square distribution

- Practical- Testing of hypothesis based on normal distribution
- Testing of hypothesis based on chi-square distribution
- Testing of hypothesis based on t-distribution

https://www.youtube.com/watch?v=9PkYISeHHI4

Concept of t- distribution

Definition t- distribution,

Applications of t- distribution

Test of significance based on t-distribution

Assumptions of t-test

Test for single mean, testing of difference between two means, testing of difference between two means of correlated observations

Definition of bivariate and univariate data

Meaning of scatter diagram and graphical representation of scatter diagram

Definition of correlation and types of correlation

Definition of correlation co-efficient,

Calculation of correlation co-efficient

Properties of correlation co-efficient

- Practical- Calculation of correlation co-efficient
- Calculation of regression co-efficient

https://www.youtube.com/watch?v=7QbRpHDPBFE

Definition of regression

Definition of dependent variable and independent variable

Properties and measure of regression

Applications of correlation co-efficient,

Theorems on correlation co-efficient

- Practical- Fitting of poison distribution in fisheries
- Determination of confidence interval

Regression equation

Distinguish between correlation and regression

Relation between correlation and regression

Application of linear regression

Definition of linearizing transformation

Meaning of length-weight relationship in fishes

Calculation procedure of slope and intercept in length-weight relationship

Interpretation of length-weight relationship in fishes

Sampling designs to estimate total marine fish landings and methodology

Estimation of inland fish catch and methodology

http://www.fao.org/tempref/docrep/fao/008/a0212e/a0212E12.pdf

- Practical- Fitting of poison distribution in fisheries
- Determination of confidence interval

Practical- Calculation of correlation co-efficient

Calculation of regression co-efficient

https://www.youtube.com/watch?v=7QbRpHDPBFE

Practical- Fitting of length-weight relationship in fishes

Mr. Chandan Haldar is working as Assistant Professor in the School of Fisheries, Centurion University of Technology and Management, Paralakhemundi Campus, Odisha. He has completed his M.F.Sc from ICAR-Central Institute of Fisheries Education, Mumbai, Maharashtra India and his Ph. D. thesis topic is “Identification of Growth Associated SNPs in Clarias magur (Hamilton, 1822) […]

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