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Things that I think are important
Chapter 1
• 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
• Scatterplots• Correlation, covariance*• Correlation versus causation• Regression:• Intuition about what a trendline is• Not how to calculate it
Chapter 3
• Sample vs. population• Statistics vs. parameters• Picking a good sample• Importance of eliminating bias• Importance of randomization• Statistical significance• Sampling distributions!
Chapter 4 • 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
Chapter 5
• Probability rules• Venn diagrams• Conditional probability• Definition of independence (p. 299)• Bayes’ Rule• Binomial setting• Binomial distribution• Normal approximation of Binomial
Chapter 6
• 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 • Sampling distribution of • Regular confidence intervals for • Plus-four correction• One-sample testing• Choice of sample size• Sampling distribution of • Confidence intervals for • 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