Exam 3 Topics List

Decision Error

• Bonferonni/FWER
• Type I vs Type II error
• What is statistical power?
• Creating table with false positives/negatives

Types of tests and associated variables

• t-test/paired t-test (degrees of freedom)
• Chi-squared goodness of fit/independence
• ANOVA
• Regression

\(\chi^2\) Tests

• Null hypothesis
• Expected values
• Compute statistic
• Use critical value sheet

ANOVA

• Degrees of freedom
• What impacts F statistic
• Within vs between variability
• MSE and MSG
• Use for prediction
• Tukey HSD

Regression

• Interpret and write models
• Categorical (reference and indicators (testing difference))
• Inference for slope parameter
• Correlated predictors
• \(R^2\) and model comparison
• Residuals

Comprehensive Topics List

Exam 1

Statistical framework (parameter vs statistic)

Quantitative vs Categorical variables

What is a distribution?

• What values?
• How frequently?

Tables and Odds

• Conditional statistics (row/column/total)
• Associate plots with tables
• Use quantitative variable as categorical (i.e., enrollment as large or small)
• Odds vs probability (go from one to the other)
• Exposure/non-exposure and event/non-event
• Odds ratios (OR < 1, OR = 1, OR > 1)

Z-scores

• What do the tell us about observations?
• Be able to construct given mean and sd
• Interpret

Exam 2

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)

Do not need to know

How to compute p-values directly

How to compute quantiles directly

Types of study design

Computing SSE or SSG directly

R programming