STA305: Design and Analysis of Experiments MOC
This map indexes every atomic note for STA305, organized along the logical flow of experimental design and hypothesis testing.
Experimental Design Basics
Core design ideas: randomized experiments, observational studies, and blocking-based control.
- Randomized Experiment
- Observational Study
- Clinical Trial Phases
- Randomized Clinical Trial
- Blocking
- Randomized Paired Comparison
- Assignment Mechanism
- Unconfounded Assignment Mechanism
Hypothesis Testing Foundations
Core ideas for hypothesis tests: t-tests, randomization distributions, and p-values.
- Two-Sample t-Test
- One-Sample t-Test Power
- Paired t-Test
- Randomization Distribution
- Two-Sided Randomized P-Value
Power and Sample Size
Power, sample-size planning, and related comparison methods.
- Power of a Statistical Test
- Power of the One-Sample t-Test
- Power of the One-Sample z-Test
- Power of the Two-Sample t-Test
- Sample Size Determination
- Power and Sample Size for Comparing Proportions
Causal Inference
Foundations of causal inference: potential outcomes, SUTVA, and propensity scores.
- Counterfactual Outcome
- Potential Outcomes
- Fundamental Problem of Causal Inference
- Stable Unit Treatment Value Assumption (SUTVA)
- Propensity Score
Diagnostic Plots and Assumptions
Diagnostic plots and tools for checking assumptions.
- Boxplot for Group Comparison
- Quantile-Quantile Plot
- Normal Plot of Factorial Effects
- Residuals versus Fitted Plot
One-Way ANOVA
One-way analysis of variance and related building blocks.
- ANOVA Notation
- One-Way ANOVA
- Sum of Squares in ANOVA
- Degrees of Freedom in ANOVA
- ANOVA Identity
- ANOVA Table
- ANOVA F Statistic
- Mean Squares in ANOVA
- Treatment Effects in ANOVA
ANOVA Assumptions and Alternatives
ANOVA assumptions, diagnostics, and effect size.
- ANOVA Assumptions
- Normality Assumption in ANOVA
- Common Variance Assumption in ANOVA
- ANOVA Effect Size
- Additive Model
- Location-Scale Family
- F Distribution
Power Analysis for ANOVA
Power analysis and sample-size planning for ANOVA.
Multiple Comparisons
Multiple comparisons and FWER control.
- Multiple Comparisons
- Family-Wise Error Rate (FWER)
- Pairwise Error Rate
- Bonferroni Method
- Tukey Method
- Simultaneous Confidence Interval
- Studentized Range Distribution
Factorial Designs
Factorial designs with two or more factors and interaction analysis.
- Factorial Design
- Two-Level Factorial Design
- 2^2 Factorial Design
- 2^3 Factorial Design
- 2^k Factorial Linear Model
- Factorial Design Model Matrix
- Replication in Factorial Designs
Factorial Design Effects and Interactions
Main effects and interactions in factorial designs.
- Main Effect
- Interaction Effect
- Conditional Main Effect
- Two-Factor Interaction
- Three-Factor Interaction
- Interaction Plot
- Cube Plot
- Confidence Interval for a Factorial Effect
- Difference Between ANOVA and Factorial Designs
Factor Coding
Coding schemes for categorical factors.
Regression
Linear regression models.
Reference Materials
- STA305 Notation Index
- Exam Pattern - Independent Two-Group Randomization Test
- Exam Pattern - Paired Randomization Test
- Exam Pattern - Two-Sample Z-Test Power and Sample Size
- Exam Pattern - Paired Power Planning in R
- Exam Pattern - Allocation Ratio Power Graph for Continuous Outcomes
- Exam Pattern - Simulation-Based Power for Comparing Proportions
- Exam Pattern - Potential Outcomes Table Analysis
- Exam Pattern - Allocation Ratio Graph for Comparing Proportions
Last updated: 2026-04-01