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## BIO401 : Biostatistics

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### Course Info

Bioinformatics

3

N/A

#### Instructor

PhD
Karolinska Institute, Sweden

### Course Contents

Introduction to Biostatistics Lectures 1-4,
Basic Terminology - I
Basic Terminology - II
Data
Variables
Measurement Scales - I
Measurement Scales - II
Types of Statistics
Sampling and Statistical Inference
Basic Terminology for sampling
Types of Sampling Methods
Simple Random Sampling
Stratified Random Sampling
Cluster Sampling
Systematic Sampling
Non-Probability Sampling Methods
Convenience Sampling
Describing Data with Tables - I
Describing Data with Tables - II
Describing Data with Tables - III
Contingency Tables
Describing Data with Charts - I
Describing Data with Charts - II
Describing Data with Charts - III
Box and Whisker Plot
Microsoft Excel Demo
Describing Data: From its Shapes
Describing Data: From its peak
Describing Shape: From Box and Whisker Plot

The Central Tendency of a data-set
Measures of Dispersion
Mean Deviation,Standard Deviation and Variance & Coefficient of variation
Chebychev’s Inequality,The Empirical Rule & The Five-Number Summary
Box and Whisker Plot,Pearson’s Coefficient of Skewness
Set Theory,Counting Rules
Permutations,Combinations
Definitions of Probability
Application of Addition Theorem,Conditional Probability & Multiplication Theorem
Bayes’ Theorem,Discrete Random Variable
Graphical Representation of the Distribution Function of a Discrete Random Variable
Properties of Expected Values,Covariance & Correlation& Discrete Probability Distributions
Binomial Distribution,Introduction to the Hypergeometric Distribution
Hypergeometric Distribution ,Poisson Distribution & Continuous Uniform Distribution

Appropriate Use of Measures of Location
Quantiles (Cut Points)
Examples of Quantiles
Measures of Dispersion
Absolute Measures of Dispersion
Examples for Absolute Measures of Dispersion
Relative Measures of Dispersion
Examples of Measures of Dispersion
Appropriate usage of the Measures of Dispersion
Calculating Skewness and making decision using Numerical measures
Calculating Kurtosis and making decision using Numerical measures
Counting Rules
Permutations
Combinations
Diagnostic Tests - I
Diagnostic Tests - II
ROC Curves
Prevalence and Incidence
Bernoulli Trials and Bernoulli Distribution
Bernoulli Distribution
Poisson Distribution
Poisson Approximation to the Binomial Distribution
The Normal Distribution
Standard Normal Distribution
Conversion from Normal to Standard Normal Distribution
Properties of the Normal Distribution
Applications of The Normal Distribution
Normal Approximation to the Binomial Distribution
Normal Approximation to the Poisson Distribution
Sampling Distributions
Expected value and Variance of a sampling distribution
Standard Error
Sampling Distribution of the sample mean
Expectated value and variance of the sampling distribution of the sample mean
Sampling Distribution of the differnece between two means
Expected value and variance of the sampling distribution of the difference between two sample means
Sampling Distribution of a sample Proportion
Expected value and variance of the sampling distribution of a sample proportion
Sampling distribution of the difference of the two sample proportion
Estimation
Point Estimation
Interval Estimation
Large Sample Confidence Intervals,Determination of Sample Size & Hypothesis-Testing
Hypothesis-Testing(continued)
Hypothesis-Testingreg regarding μ1-μ2 & P (based on Z-statistic
Hypothesis Testing Regarding p1-p2 & The Student’s t-distribution
Tests and Confidence Intervals
based on the t-distribution
Hypothesis-Testing regarding Two Population Means & The Chi-square Distribution
The F-Distribution &Hypothesis Testing and Interval Estimation
Analysis of Variance & Experimental Design
Randomized Complete Block Design ,(LSD) Test & Chi-Square Test of Goodness of Fit
Chi-Square Test, p-value & Latest Definition of Statistics
 Correlation Assumptions used for Correlation Types of correlation and their usage Partial Correlation Multiple Correlation Calculating and interpeting Correlation Testing Hypothesis about Correlation coefficient Regression Assumptions for Regression Model Steps in Regression Analysis Understanding Dependence relationship using Scatter Plots Principle of Leasst Squares Least Squares line Obtaining a regression Line using SPSS ANOVA in Regression Decision making Using ANOVA in regression Calculating and Interpreting results for ANOVA in regression usign SPSS Evaluating a regression Equation Confidence intervals for individual parameters Coefficient of Determination Making Prediction using regression Model Testing the regression Assumptions Multiple Linear Regression Model Obtaining and Interpreting a multiple linear regression equation Detecting Outliers, Influential and leverage values Regression with Qualitative Independent variable Performing and Interpreting Regression with Qualitative Independent Variable Variable Selection procedures Forward Selection Backward Elimination Stepwise Regression Introduction to Survival Analysis Survival Analysis: Basic Terminology Censoring Types of Censoring Right Censoring Left Censoring Interval Censoring
 SPSS tutorial to model building SPSS Tutorial to Assumption testing SPSS Tutorial to variable Selection A Tutorial to SPSS - I A Tutorial to SPSS - II A Tutorial to SPSS - III A Tutorial to SPSS - IV A Tutorial to SPSS - V A Tutorial to SPSS - VI A Tutorial to SPSS - VII A Tutorial to SPSS - VIII A Tutorial to SPSS - IX A Tutorial to SPSS - X A Tutorial to SPSS - XI A Tutorial to SPSS - XII A Tutorial to SPSS - XIII Using SPSS to report Descriptive Statistics