 §  Read  Use / Do 

1 
Jerome Cardan
Counting

Tech Tips: Counting
Exercises  Counting


2 
Events
Probability Set Functions
Conditional Probabilities and Independent Events

Exercises  Events
Exercises  Finding Probabilities


3 
...continue probability 
Exercises  Finding More Probabilities 

4 
Baye's Theorem

Exercises  Baye's Theorem 

5 
Discrete Random Variables
Expected Value of a Discrete Random Variable
Expected Value and Center of Mass
Standard Deviation and Moment of Inertia
Variance & Standard Deviation of a Discrete Random Variable

Tech Tips: Random Variables Described by Tables
Exercises  Random Variables


6 
Binomial Distribution
Expected Value of a Binomial Distribution (Long Way)
Expected Value/Variance of a Binomial Distribution (Short Way)

Tech Tips: Binomial Distributions
Exercises  Binomial Probabilities


7 
Poisson Distribution
Poisson as Limit of a Binomial Distribution

Tech Tips: Poisson Distributions
Exercises  Poisson Distribution


8 
Hypergeometric Distribution
Multinomial Distribution 
Tech Tips: Hypergeometric Distributions
Exercises  Hypergeometric Distribution
Exercises  Multinomial Distribution


9 
Review 
Exercises  Discrete Probability Distributions A
Exercises  Discrete Probability Distributions B


10 
Variables and Scales of Measurement
Sampling Methods
Experimental Design
Famous Statistical Blunders in History
Publication Bias (What doctors don't know...)
Uses and Abuses of Statistics
This is How Easy It Is to Lie With Statistics
Simpson's Paradox 
Exercises  Measurements, Sampling, Studies, and Experiments


11 
Frequency Distributions and Histograms

Tech Tips: Making Plots in R
Exercises  Frequency Distributions and Histograms
Exercises  Making Plots in R


12 
Shape, Center, and Spread of a Distribution
Bessel's Correction

Tech Tips: Descriptive Statistics
Exercises  Measures of Center and Spread
Exercises  Descriptive Statistics


13 
Chebyshev's Theorem 


14 
The Normal Distribution 
Normal Distribution Table
Tech Tips: Normal Distributions
Tech Tips: R and Testing Normality
Exercises  The Normal Distribution
Exercises (Unlimited)  Normal Probability Problems


15 
Distributions of Sample Means and the Central Limit Theorem 
Exercises  The Centeral Limit Theorem 

16 
Approximating a Binomial Distribution with a Normal Curve 
Exercises  Normal Approximations to Binomial Distributions


17 
Review 
Review Exercises B1
Review Exercises B2


18 
Confidence Intervals for Proportions

Tech Tips: Confidence Intervals for Proportions
Exercises  Confidence Intervals for Proportions
Exercises  More Confidence Intervals for Proportions


19 
Milk, Tea, and Statistics: The Birth of Hypothesis Testing Hypothesis Testing Basics & One Sample Tests for a Proportion

Hypothesis Testing: Basic Principles


20 
Summary of the 3 Approaches to Hypothesis Testing 
Tech Tips: One Sample Proportion Tests
Exercises  Hyp. Tests for Proportions (One Sample)
Exercises (Unlimited)  One Sample Proportion Tests
Exercises  More Hyp. Tests for Proportions (One Sample)


21 
Hypothesis Tests for Proportions (Two Samples) 
Tech Tips: Two Sample Proportions Test
Exercises  Hyp. Tests for Proportions (Two Samples)


22 
The ChiSquare Distribution 
Chisquare Table 

23 
Goodness of Fit Tests
Independence and Homogeneity of Proportions Tests

Tech Tips: Chi Square Distributions
Exercises  ChiSquared Tests


24 
tDistributions

Tech Tips: Student's tDistribution
ttable 

25 
Confidence Intervals and Hypothesis Tests for Means

Tech Tips: OneSample Means Test
Exercises  Conf. Intervals & Hyp. Tests for Means
Exercises  Confidence Intervals for Means (One Sample)
Exercises  Hypothesis Tests for Means (One Sample)


26 
Review 
Exercises  Conf. Intervals & Hyp. Testing (One Sample, Means and Proportions) 

27 
Hypothesis Tests for Comparing Means

Tech Tips: F Distributions
Tech Tips: Comparing Means
Ftables
Exercises  Comparing Means
Exercises  Comparing Means 2


28 
...continue comparing means 
Exercises  Comparing Means 3
Exercises  Comparing Variation


29 
ANOVA and Scheffe Tests

Tech Tips: ANOVA and Scheffe Tests
Exercises  One way Analysis of Variance (ANOVA)


30 
...continue ANOVA 


31 
Parametric vs. Nonparametric Tests
Uniform Distribution of the First N Natural Numbers 


32 
KruskalWallis, Wilcoxon Tests

Tech Tips: KruskalWallis, Wilcoxon Tests
Exercises  KruskalWallis, Wilcoxon Tests
Exercises  KruskalWallis, Wilcoxon Tests 2


33 
Correlation and Scatterplots
The Line of Best Fit

Tech Tips: Correlation
Tech Tips: Regression Lines
Exercises  Correlation
Exercises  Simple Linear Regression and Oneway Analysis of Variance


34 
Explained Variation and the Coefficient of Determination 


35 
Spearman's Rank Sum Correlation Test 
Spearman's Rank Correlation Coefficient Table
Exercises  Spearman's Rank Sum Correlation Test


36 
Review 
