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``````SASTRA Deemed to be University                                                  M. Tech. (Medical Nanotechnology)
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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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