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Mathematical Biostatistics Boot Camp 1
  • Level Foundation
  • Duration 13 hours
  • Course by Johns Hopkins University
  • Offered by

About

This class presents the fundamental probability and statistical concepts used in elementary data analysis. It will be taught at an introductory level for students with junior or senior college-level mathematical training including a working knowledge of calculus. A small amount of linear algebra and programming are useful for the class, but not required.

Modules

Welcome

    • 1 Videos
    • 2 Readings
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1 Videos

  • Welcome to the Course

2 Readings

  • Syllabus
  • Faculty

Experiments and Probability

    • 2 Videos
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2 Videos

  • Biostatistics and Experiments
  • Set Notation and Probability

Probability and Variables

    • 2 Videos
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2 Videos

  • Probability
  • Random Variables

Probability Mass Functions, Probability Density Functions, and Cumulative Distribution Functions

    • 2 Videos
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2 Videos

  • PMFs and PDFs
  • CDFs, Survival Functions, and Quantiles

Expected Values, Variances, and Standard Deviation

    • 3 Videos
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3 Videos

  • Expected Values
  • Rules About Expected Values
  • Variances and Chebyshev's Inequality

Random Vectors, Independent Events and Variables, Covariance and Correlation, and Sample Variance

    • 3 Videos
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3 Videos

  • Random Vectors and Independence
  • Correlation
  • Variance Properties and Sample Variance

Review

    • 2 Assignment
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2 Assignment

  • Module 1 Homework
  • Module 1 Quiz: Introduction, Probability, Expectations, and Random Vectors

Conditional Probabilities and and Bayes' Rule

    • 2 Videos
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2 Videos

  • Conditional Probabilities and Densities
  • Bayes' Rule and DLRs

Likelihood Plots and Ratio Benchmarks

    • 1 Videos
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1 Videos

  • Likelihood

Bernoulli, Binomial, and Normal Distributions

    • 2 Videos
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2 Videos

  • Bernoulli Distribution and Binomial Trials
  • The Normal Distribution

Limits, the Law of Large Numbers, the Central Limit Theorem, and Confidence Intervals

    • 2 Videos
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2 Videos

  • Limits and LLN
  • CLT and Confidence Intervals

Review

    • 2 Assignment
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2 Assignment

  • Module 2 Homework
  • Module 2 Quiz: Conditional Probability, Bayes' Rule, Likelihood, Distributions, and Asymptotics

Chi-squared and t-Distributions, Confidence Intervals, and Likelihoods

    • 3 Videos
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3 Videos

  • Confidence Intervals and CI for Normal Variance
  • Student's t Distribution and CI for Normal Means
  • Profile Likelihoods

Confidence Intervals

    • 1 Videos
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1 Videos

  • T Confidence Intervals

All About Plotting

    • 1 Videos
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1 Videos

  • Plotting

Bootstrap Principle, Algorithm, and Calculations

    • 2 Videos
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2 Videos

  • The Jackknife
  • Bootstrapping

Review

    • 2 Assignment
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2 Assignment

  • Module 3 Homework
  • Module 3 Quiz: Confidence Intervals, Bootstrapping, and Plotting

Binomial Proportions, the Wald Interval, and Bayesian Analysis

    • 2 Videos
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2 Videos

  • Binomial Proportions Part A
  • Binomial Proportions Part B

Logs and the Geometric Mean

    • 1 Videos
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1 Videos

  • Logs

Review

    • 2 Assignment
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2 Assignment

  • Module 4 Homework
  • Module 4 Quiz: Binomial Proportions and Logs

Auto Summary

Unlock the essential principles of data analysis with the "Mathematical Biostatistics Boot Camp 1" course. This foundational program delves into critical probability and statistical concepts tailored for those with a background in junior or senior college-level mathematics. While a basic understanding of calculus is essential, familiarity with linear algebra and programming can enhance your learning experience but are not mandatory prerequisites. Crafted by experts at Coursera, this course spans approximately 780 minutes of comprehensive content designed to build your proficiency in biostatistics. Ideal for beginners and those looking to solidify their foundational knowledge, the program offers a structured yet flexible learning path under the "Starter" subscription plan. Join a community of learners eager to grasp the quantitative methods necessary for elementary data analysis and elevate your skills in the domain of maths and statistics. Whether you're pursuing academic excellence or seeking to apply these concepts professionally, this course is your gateway to mastering the fundamentals of biostatistics.

Brian Caffo, PhD
Instructor

Brian Caffo, PhD