BO4011 Applied Statistics for Biologists Syllabus:
BO4011 Applied Statistics for Biologists Syllabus – Anna University PG Syllabus Regulation 2021
COURSE OBJECTIVES:
This course will help the students to
Study the mathematical aspects of probability, determination of probability and moments.
Study the distributions of discrete and continuous random variables and their properties.
Obtain the covariance and correlation between jointly distributed random variables, interpret simple linear regression and fitting of curves by least square method.
Study concepts and methods of sampling and various statistical tests in testing hypothesis on data.
Analyze one-way, two-way and three-way classifications of analysis of variance and problems using them.
UNIT I PROBABILITY
Random variable-sample spaces-Events-Axiomatic approach to probability-conditional probability additional theorem, Multiplication theorem -Bayes theorem problems-continuous and discrete random variables, Distribution function-Expectation with properties-Moments, mean, Variance problems-for continuous and discrete distributions.
UNIT II DISTRIBUTION
Bivariate distribution-conditional and marginal distribution-Discrete distribution-Binomial, Poisson, geometric distribution-Continuous distribution, Normal, exponential and negative exponential, gamma distributions-simple problems-properties.
UNIT III METHODS OF CORRELATION
Correlation coefficient, properties-problems-Rank correlation-Regression equations problems- curve fitting by the method of least squares-fitting curves of the form ax2+bx+c, abx and axb -Bivariate correlation application to biological problems.
UNIT IV SAMPLING
Concept of sampling-Methods of sampling-sampling distributions and Standard Error-Small samples and large samples-Test of hypothesis-Type I, Type II Errors-Critical region-Large sample tests for proportion, mean-Exact test based on normal, t, f and chi-square distribution-problems- Test of goodness of fit.
UNIT V DESIGN OF EXPERIMENT
Basic principles of experimentation – Analysis of variance-one-way, Two-way Classifications – Randomized block design, Latin square design – problems.
TOTAL : 45 PERIODS
COURSE OUTCOMES:
At the end of the course the student will be able to,
CO1 Understand basic probability and distribution in statistics.
CO2 Learn correlation and regression with sampling in biological experiments.
CO3 Design experiments and justify the statistical significance of the results of the experiment in testing hypothesis.
CO4 Understand and apply statistical methods of analysis in biological research.
REFERENCES:
1. Kapoor, V. K. “Elements of Mathematical statistics”3rd edition,2002. .
2. Vittal, P.R. and V.Malini.”Statistical and Numerical Methods”. Margham Publications. 2012.
3. Veerarajan,T. “Probability, Statistics and Random Processes”.3rd Edition., Tata McGraw- Hill, 2008.
4. Johnson, R. A.”Miller& Freund’s Probability and Statistics for Engineers”. 6 ed. PHI, 2003.
5. Arora, P. N. SmeetArora, and Arora, S. “Comprehensive Statistical Methods”. S. Chand & Co,1997.
6. Spiegel, Murray R., J.Schiller and R. AluSrinivasan. ”Schaum’s Outlines Probability and Statistics”, 2nd Edition. Tata McGraw-Hill 2000.
7. Kandasamy, P. K. Thilagavathi& K. Gunavathi.”Probability Statistics and Queuing Theory”. S. Chand & Co., 2004. 61 61 Course Articulation Matrix Course Outcome Statements rogramme Outcome (PO) 1 2 3 4 5