CS 466 Introduction to Bioinformatics Instructor: Wesley Wei Qian - - PowerPoint PPT Presentation

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CS 466 Introduction to Bioinformatics Instructor: Wesley Wei Qian - - PowerPoint PPT Presentation

Nov 06, 2023 246 likes •709 views

CS 466 Introduction to Bioinformatics Instructor: Wesley Wei Qian Probability and Statistics Random Variables and Expectations Random Variable Random Variable Probability distribution Joint distribution Marginal distribution Independent

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CS 466 Introduction to Bioinformatics

Instructor: Wesley Wei Qian

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Probability and Statistics

Random Variables and Expectations

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Random Variable

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Random Variable

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Probability distribution

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Joint distribution

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Marginal distribution

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Independent variables

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Continuous probability distribution

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Continuous distribution: density function

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Joint distribution

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Marginal distribution

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Expected value

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Expectation

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Some properties of expectation

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Mean, Variance and Covariance

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Examples

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Properties of variance and covariance

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Properties

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Statistics

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Mean

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Standard deviation and Variance

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Normalization

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Correlation

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Correlation coefficient

Also called Pearson Correlation Coefficient

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Correlation coefficient vs Relationship

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Ice Cream vs Drowning

Correlation and Causality

monthly data

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Ice Cream vs Drowning

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Ice Cream vs Drowning

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credit: NEJM, 2012

Chocolate vs Nobel Prizes

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Gene expression analysis

gene sample

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Correlation analysis

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Weighted Edit Distance

revisit

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BLOcks SUbstitution Matrix (BLOSUM)

amino acids

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BLOcks SUbstitution Matrix (BLOSUM)

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How to get a good substitution score?

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BLOcks SUbstitution Matrix (BLOSUM)

amino acids