Topics List

Statistical framework (parameter vs statistic)

What is a distribution?

• What values?
• How frequently?

Study Design

• Representative samples
• Bias vs variance

Probability

• Random process
• Law of Large Numbers
• Disjoint and Independent processes
• General Addition and Multiplication Rules
• Compliments
• Marginal, Joint, and Conditional Probability
• Bayes Theorem

Sampling Distribution

• Distributional parameters
• Standard error vs standard deviation
• Sampling distribution definition
• Central Limit Theorem conditions
  • When does it apply? When does it not?
  • When is approximation likely correct?
• Normal distribution
• Standard normal distribution

Confidence Intervals

• Critical values and quantiles
• Bootstrap procedure
• t-distribution
• How does each term impact location and size of CI
• Coverage probability (what does this mean?)

Hypothesis Testing

• What is a t-statistic? Can you write it?
• What is a t-test?
• Null Hypothesis and null distribution (sampling distribution when null is true)
• Interpret p-values
• Type I and Type II errors
• Multiple Testing
• Relationship between \(\alpha\) and confidence intervals

Do not need to know

How to compute p-values directly

How to compute quantiles directly

Types of study design

R programming