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Things that I think
are important
Chapter 1
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Bar graphs, histograms
Outliers
Mean, median, mode, quartiles of data
Variance and standard deviation of data
Densities/distributions, skew
The Normal distribution and N(0,1)
Standardization
Chapter 2
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Scatterplots
Correlation, covariance*
Correlation versus causation
Regression:
• Intuition about what a trendline is
• Not how to calculate it
Chapter 3
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Sample vs. population
Statistics vs. parameters
Picking a good sample
Importance of eliminating bias
Importance of randomization
Statistical significance
Sampling distributions!
Chapter 4
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Probability as a long-run concept
Events, sample spaces, outcomes
Rules for assigning probabilities
Discrete and continuous random variables
Expected value (mean) of a random variable
Variance of a random variable
Rules for means (p. 248), variances (p. 253)
Correlation, covariance* of random variables
Functions of random variables
Law of Large Numbers, Central Limit Theorem
Sampling distribution of 𝑥
Chapter 5
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Probability rules
Venn diagrams
Conditional probability
Definition of independence (p. 299)
Bayes’ Rule
Binomial setting
Binomial distribution
Normal approximation of Binomial
Chapter 6
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Confidence intervals as a concept
Significance testing as a concept
Hypotheses
P-values
Significance level
Power as a concept
Calculating power for a test
Type I and II errors
Chapter 7
• Standard error as estimate of standard
deviation of sample statistic
• t-distribution
• One-sample confidence intervals
• One-sample t-tests (incl. matched pairs)
• Two-sample confidence intervals
• Two-sample t-tests
• Regular and pooled procedures
• Ignore Satterwaithe stuff
Chapter 8
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Sampling distribution of 𝑝
Regular confidence intervals for 𝑝
Plus-four correction
One-sample testing
Choice of sample size
Sampling distribution of 𝑝1 − 𝑝2
Confidence intervals for 𝑝1 − 𝑝2
Plus-four correction
Two-sample hypothesis testing
Practice Questions
Chapter 1
Chapter 2
Chapter 3
Chapter 4
1.110
22.16
3.134
4.126, 127
1.116
2.33, 34
3.136
4.130
1.132
2.52
3.138
4.140
Chapter 5
Chapter 6
Chapter 7
Chapter 8
5.42
6.100
7.122
8.66
5.74
6.102, 106
7.132
8.74
5.100, 102
6.104
7.136
8.76
5.104
6.122
7.138
8.92