Statistical Methods

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Statistical Methods

Statistical Methods

Teacher

Mr. Chandan Haldar

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Course Name : Statistical Methods

Code(Credit) : FSEE 1101(2-1-0)

Course Objectives

  • 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.

Learning Outcomes

  • 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. 

Course Syllabus

  • 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

Session Plan

Session 1

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

https://www.slideshare.net/pratikjeswani/statistics-1537028

Session 2

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

https://www.youtube.com/watch?v=jtI-7wsuYYY

Session 3

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.

https://www.youtube.com/watch?v=TG0cUCc1R2g

Session 4

Practical- Guidelines for constructing questionnaire and schedule

Construction of questionnaire and schedule

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

Session 5

Measures of central tendency
 Concept of measures of central tendency
 Merits and demerits

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

Session 6

 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

Session 7

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

Session 8

Practical- Calculation of mean, median and mode

Calculation of range, mean deviation and standard deviation

v=EG_LUhmsVFY&list=PLLgJVrtHe9RppCDT5Nf0Pdz95i1N81zyG

Session 9

 Definition of co-efficient of variation,
 Application of co-efficient of variation,
 Measurement of co-efficient of variation

https://www.youtube.com/watch?v=-OgrA9mf8Tc

Session 10

 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

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

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

Session 11

 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

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

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

Session 12

Practical- Exercise on probability
Fitting of binomial distribution in fisheries

Session 13

  • 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

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

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

Session 14

 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

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

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

Session 15

 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

https://www.youtube.com/watch?v=RJ9us-Xmog8

Session 16

  • 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

Session 17

 General principles of testing of hypothesis,
 Definition of statistical hypothesis, null hypothesis, alternative hypothesis, type-I and type-II error

https://www.slideshare.net/darlingjunior/hypothesis-testing

Session 18

 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

 

https://www.slideshare.net/BipulKumerSarker/chisquare-distribution?qid=8b2b22b1-b089-4957-946c-c391359990b4&v=&b=&from_search=2

Session 19

  • 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

Session 20

 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

https://www.youtube.com/watch?v=32CuxWdOlow

Session 21

 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

https://www.youtube.com/watch?v=ugd4k3dC_8Y

Session 22

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

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

Session 23

 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

https://www.youtube.com/watch?v=4MtsWBxCPHw

Session 24

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

Session 25

 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

https://www.youtube.com/watch?v=HGCNpqafDV4

Session 26

 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

Session 27

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

Session 28

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

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

Case Studies

Case Studies

Our Main Teachers

    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) […]