Page 9 - MTech-Medical Nanotechnology

SASTRA Deemed to be University M. Tech. (Medical Nanotechnology)
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L T P C
Course Code: MAT544 3 1 0 4
Semester: I

BIOSTATISTICS AND DESIGN OF EXPERIMENTS

Course objective:
The course aims to equip students with the basic concepts of statistics, data analysis, data
interpretation and statistical experimental design.

UNIT- I 15 Periods
INFERENTIAL STATISTICS AND ONE SAMPLE HYPOTHESIS TESTING
Samples and populations: Random, stratified and cluster sampling; Single- and Double-blind
experiments; Point and interval estimates; Sampling distributions: t, chi-square, F
distributions; Hypothesis testing: null and alternative hypotheses, decision criteria, critical
values, type I and type II errors, Meaning of statistical significance; Power of a test; One
sample hypothesis testing: Normally distributed data: z, t and chi-square tests; Binomial
proportion testing.

UNIT - II 15 Periods
MULTI-SAMPLE AND NONPARAMETRIC HYPOTHESIS TESTING
Two sample hypothesis testing; Nonparametric methods: signed rank test, rank sum test;
Kruskal-Wallis test; Analysis of variance: One-way ANOVA.

UNIT - III 15 Periods
CURVE FITTING
Regression and correlation: simple linear regression; Least squares method; Analysis of
enzyme kinetic data; Michaelis-Menten; Line weaver-Burk and the direct linear plot; Logistic
Regression; Polynomial curve fitting.

UNIT - IV 15 Periods
DESIGN OF EXPERIMENTS
Single factor experiments; Randomized block design; Plackett-Burman Design; Comparison
of k treatment means; Factorial designs; Blocking and confounding; Response surface
methodology.

REFERENCES
1. J. H. Zar, Biostatistical Analysis, 5/e, Pearson, 2014.
2. E. Kreyszig, Advanced Engineering Mathematics, 10/e, John Wiley, 2015.
3. D. C. Montgomery, Design and Analysis of Experiments, 8/e, Wiley, 2013.

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