This page includes the asynchronous lecture videos, PDF slides, and other materials for Advanced Biostatistical Methods I (BIOS 6618). It builds and expands upon material from its predecessor course Biostatistical Methods I (BIOS 6611). The material is broadly broken down by theme with links provided to download materials or view the videos. A brief overview of the material covered in a given lecture can be viewed by hovering over or clicking the given “Lecture Topic”.
Prerequisite Materials
We assume some material has been covered in previous statistics coursework. No worries if it isn’t ringing a bell, feel free to review the material below.
Probability and Distributions
The first theme in BIOS 6618 discusses core concepts in statistics (e.g., simulation studies, estimators, estimation), the normal distribution, and the central limit theorem.
Hypothesis Testing, Power, Sample Size
The second theme of BIOS 6618 introduces the framework for hypothesis testing based on null hypothesis significance testing (NHST). We then discuss the concept of power calculations and work through practical examples by hand and using R to estimate power, sample size, or a detectable difference.
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Lecture Topic
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Slides
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Video Link
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Fisher’s p-value
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PDF
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YouTube
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The Neyman-Pearson Tradeoffs
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PDF
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YouTube
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Null Hypothesis Significance Testing (Fisher-Neyman-Pearson Hybrid)
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PDF
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YouTube
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Statistical Power and Derivations for a Two-Sided, One-Sample Z-test
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PDF
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YouTube
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Power Calculation Examples in R
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PDF
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YouTube
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Multiple Testing/Comparisons
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PDF
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YouTube
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Conditional Probability, Effect Measures, Inference for 2x2 Tables
Our third theme in BIOS 6618 explores conditional probability and its application for diagnostic testing as well as studies with 2x2 tables and inference based on risk differences, risk ratios, or odds ratios.
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Lecture Topic
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Slides
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Video Link
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Diagnostic Testing: Sensitivity and Specificity
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PDF
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YouTube
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Diagnostic Testing: Predictive Values and Odds
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PDF
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YouTube
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Diagnostic Testing: ROC Curves
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PDF
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YouTube
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Observational Study Designs
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PDF
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YouTube
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2x2 Tables Measures of Effect: RD, RR, OR
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PDF
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YouTube
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2x2 Tables and Tests of Association
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PDF
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YouTube
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Bootstrap Sampling and Nonparametric Methods
The fourth theme of BIOS 6618 explores bootstrap resampling, permutation testing, and other nonparametric methods for hypothesis testing.
Simple Linear Regression
In our fifth theme of BIOS 6618 we introduce, derive, and apply methods for linear regression with a single predictor for a continuous outcome. The lectures include a mix of applied and theoretical content.
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Lecture Topic
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Slides
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Video Link
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Simple Linear Regression (SLR) Introduction
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PDF
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YouTube
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SLR: Find the “Best” Fit and Summary Formulas
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PDF
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YouTube
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SLR: Simple Application and Hypothesis Testing
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PDF
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YouTube
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SLR: Quality of Fit, F-test, and ANOVA Table
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PDF
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YouTube
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SLR: Prediction vs. Confidence Intervals
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PDF
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YouTube
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Derivation of SLR Regression Coefficients
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PDF
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YouTube
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Variance of Regression Coefficients
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PDF
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YouTube
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Coefficient of Determination and Correlation Connection
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PDF
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YouTube
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Residuals
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PDF
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YouTube
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Diagnostic Plots
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PDF
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YouTube
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SLR Example: Continuous Predictor
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PDF
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YouTube
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SLR Example: Categorical Predictor
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PDF
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YouTube
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Transformations to Remove Heteroscedasticity
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PDF
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YouTube
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Multiple Linear Regression
The penultimate theme of BIOS 6618 expands our linear regression framework to account for more than one predictor. This results in a variety of different applications and topics that are broken down further into subthemes below.
MLR Introduction
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Lecture Topic
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Slides
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Video Link
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Multiple Linear Regression (MLR): Motivation, Assumptions, Example
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PDF
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YouTube
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MLR: Diagnostic Plots and Multicollinearity
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PDF
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YouTube
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MLR: Inference on Independent Variables
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PDF
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YouTube
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Linear Regression in Matrix Format
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PDF
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YouTube
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Linear Regression with Matrices in SAS
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SAS
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YouTube
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Linear Regression with Matrices in R
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HTML
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YouTube
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Analysis of Variance (ANOVA) and Post-hoc Testing
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Lecture Topic
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Slides
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Video Link
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Coding Categorical Variables
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PDF
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YouTube
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One-Way ANOVA and Connections to Regression
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PDF
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YouTube
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Post-hoc Testing for ANOVA
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PDF
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YouTube
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Kruskal-Wallis: A Nonparametric ANOVA
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PDF
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YouTube
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Special Topics
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Lecture Topic
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Slides
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Video Link
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General Linear Hypothesis Testing
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PDF
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YouTube
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Confounders and Precision Variables
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PDF
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YouTube
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Mediation Models
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PDF
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YouTube
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Polynomial Regression
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PDF
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YouTube
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Interaction/Effect Modification
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PDF
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YouTube
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Model Selection Procedures
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PDF
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YouTube
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Variable Selection Considerations
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PDF
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YouTube
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Diagnostics for Outliers and Influential Points
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PDF
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YouTube
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Supplemental Material on Contrasts
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PDF
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Advanced Topics
The final theme of BIOS 6618 explores advanced topics that build what we have covered this semester. It includes segmented/piecewise regression, quantile regression, Bayesian regression, splines, and advanced bootstrap approaches. We close with material that builds a bridge to BIOS 6619 with exponential families and generalized linear models.