Standard syllabus
Introductory statistics · Undergraduate · Statistics
Topics
Data and descriptive statistics
- Data types, variables, and levels of measurement
- Sampling methods and study design basics
- Frequency tables, histograms, and boxplots
- Measures of center: mean, median, and mode
- Measures of spread: variance, standard deviation, and IQR
- Correlation and scatterplots
Probability and sampling distributions
- Probability rules and conditional probability
- Random variables and expected value
- Binomial and normal distributions
- Sampling distributions and the central limit theorem
- Standard error and the t-distribution
Inference for means and proportions
- Confidence intervals for one and two means
- Confidence intervals for proportions
- Hypothesis tests for means: z and t tests
- Hypothesis tests for proportions
- Paired and two-sample comparisons
- Type I and Type II errors; power (introduction)
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