Page 6 - REC :: M.Tech. BioTech Curriculum and Syllabus - R2019

MA19103 STATISTICAL TECHNIQUES FOR BIOTECHNOLOGISTS Category L T P C
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Objectives:
 To introduce the basic concepts of probability, one dimensional and two dimensional Random Variables
 To provide information about Correlation, Regression and applications.
 To enable the students to use the concepts of Testing of Hypothesis and Design of Experiments.

UNIT-I RANDOM VARIABLE AND PROBABILITY DISTRIBUTION 12
Discrete random variable – Probability mass function – Properties – Continuous random variable – Probability density
function – Properties – Moments : Mean and variance with properties –Special distributions : Binomial, Poisson,
Geometric, Uniform, Exponential, Gamma, Weibull and Normal – Properties - Simple Problems.
UNIT-II SAMPLING DISTRIBUTIONAND ESTIMATION THEORY 12
Random sampling – Sample mean and variance – Standard error – Simple problems –Estimator: Unbiasedness –
Maximum likelihood estimation – Method of moments – Curve fitting by the method of least squares: Fitting curves
x
2
of the form y  ax  b, y  ax  bx  c, y  ab and y  ax - Multiple regression lines.
b
UNIT-III TESTING OF HYPOTHESIS 12
2
Sampling distributions – Type I and Type II errors – Tests based on Normal, t,  and F distributions for testing of
mean, difference between two means, proportion, difference between two proportions, variance, ratio of two variances
– Independence of attributes (r x c contingency table) - Goodness of fit.
UNIT-IV NON PARAMETRIC STATISTICS 15 12
One sample sign test – Sign test for paired samples – Signed rank test – Rank-sum test: The U-test – Rank-sum test:
The H-test – Test based on runs.
UNIT-V DESIGN OF EXPERIMENTS 12
Completely random design – Randomized complete block design – Analysis of variance: One-way and two - way
2
classifications – Latin square design -2 factorial design.
Total Contact Hours : 60

Course Outcomes:
 Apply the basic concepts of probability, one dimensional and two dimensional Random Variables.
 Apply the concept of sampling distribution for estimation theory and curve fitting.
 Enable the students to use the concepts of Testing of Hypothesis for industrial problems
 Test the hypothesis for population parameter not obeying normal distribution
 Apply the concept of ANOVA in decision making in the industrial problems

Reference Books(s) / Web links:
Veerarajan T, Probability, statistics and random process with queueing theory and queueing networks, 4th
1
edition, McGraw - Hill Publishing Company Limited
th
2 Spiegel Libschutz, “Probability and Statistics ”, 4 Edition, McGraw Hill, New Delhi, 2010.
th
3 FreundJ.E., “ Mathematical Statistics ”, 5 Edition, Prentice Hall of India.
th
th
4 Miller I and Miller M., “Mathematical Statistics ”, 7 Edition, Pearson Education Inc. (10 impression), 2012.
th
Jay L. Devore,” Probability and Statistics for Engineering and Sciences”, 8 Edition, Cengage Learning Pvt. Ltd.,
5
New Delhi, 2014.
Johnson, R.A and Gupta C. B., “Miller and Freund’s Probability and Statistics for Engineers”, Pearson Education
6
th
Int., Asia, 8 Edition, 2011.
th
Gupta, S.C. and Kapoor, V. K, “Fundamentals of Mathematical Statistics”, Sultan Chand and Sons, 14 Edition,
7
2016.