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# Biostatistics and Mathematical Biology

### Overview

This 12 weeks course will thoroughly cover basic mathematics essential for biologists. Traditional course Biostatistics offered across Indian universities usually do not cover topics such as Bayesian probability, Maximum Likelihood, Box-Plots, Statistical Power and sampling size estimation, Normality and Outlier tests, Non-linear regression and so on; this course is designed such a way to compensate that deficiency. In addition, mathematical skills essential for biologists are covered thoroughly as part of this course, including levels of measurements, permutations and combinations, tests for categorical data including Relative Risk, Odds Ratio and so on. Fun facts and games included in the course is expected to pique interest among the participants. Substantial time is spared to solve practice problems on whiteboard, making the comprehension easy. The course is application oriented and more importance is given for deciding which significance test to use, how to analyse the data and so on using computational softwares rather than manual solutions or using statistical tables.

### Syllabus

Week 1 Biostatistics and Mathematical Biology: An Introduction, Types of studiesWeek 2 Levels of measurements Summarizing the Data: Tabular PresentationWeek 3 Summarizing the Data: Graphical Presentation Charting with ExcelWeek 4 Descriptive statistics: Point Estimates Descriptive Statistics: Interval Estimates Error BarsWeek 5 Moments, Normality Tests and Outliers Concepts of Population, Sample and Confidence IntervalWeek 6 Statistical Hypothesis Testing Statistical Significance and P-Values Relationship between Confidence Intervals and Statistical SignificanceWeek 7 Statistical Power and Choosing the right Sample Size t-Distribution and tests of significance based on t-distribution F-distribution and tests of significance based on F distributionWeek 8 χ2 Distribution and tests of significance based on χ2 distribution Comparing Proportions Gaussian, Binomial, Lognormal and Poisson DistributionsWeek 9 Pearson’s Correlation Simple Linear Regression Non-Linear RegressionWeek 10 Nonparametric tests Permutations and CombinationsWeek 11 Probability Bayes Theorem and LikelihoodWeek 12 Statistics with MS Excel and GraphPad Prism Key concepts of statistics Statistical Pitfalls to Avoid

Dr. Felix Bast

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