## Math 117 - Introduction to Probability and Statistics

### Useful Resources

Fri, Jan 19 1 Jerome Cardan
Counting
Exercises - Counting

Install R and R Studio

Use R for the 1st Time
Mon, Jan 22 2 Probability

R Functions Related to Counting & Probability
Excel Functions Related to Counting & Probability
Exercises - Probability

Wed, Jan 24 3 ...continue probability Exercises - Counting and Probability
Fri, Jan 26 4 Bayes Theorem Handout (by Triola)

Functions in R
Vectors in R
Logical Values in R
Excel Functions Related to Conditionals and Table Lookup
Exercises - Baye's Theorem
Exercises - Counting and Probability Review

Project 1, Part I: Simulations with R and Excel
Mon, Jan 29 5 Characters and Strings in R
R Functions Related to Simulation
Project 1, Part II : Simulations with R and Excel
(Unusual Dice and Cancer)
Wed, Jan 31 6 Discrete Probability Distributions
Expected Value, Variance, and Standard Deviation of a Discrete PDF

R and Discrete Probability Distributions
Excel Functions Relevant to Probability Distributions
Fri, Feb 2 7 Binomial Distribution
Expected Value of a Binomial Distribution

R and Binomial Distributions
Excel and Binomial Distributions
Mon, Feb 5 8 Poisson Distribution
Poisson as Limit of a Binomial Distribution
Hypergeometric Distribution
Multinomial Distribution

R and Poisson Distributions
R and Hypergeometric Distributions
Excel and the Poisson & Hypergeometric Distributions
Exercises - Discrete PDFs

Wed, Feb 7 9 Review Exercises - Probability Distributions
Fri, Feb 9 10 Test 1
Mon, Feb 12 11 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
Wed, Feb 14 12 Frequency Distributions and Histograms Exercises - Frequency Distributions and Histograms
Fri, Feb 16 13 Shape, Center, and Spread of a Distribution
Proof of Chebyshev's Theorem

Descriptive Statistics in R and Excel
Exercises - Measures of Center and Spread
Exercises - Descriptive Statistics

Project 2, Part I: Visualizing Data in R and Excel
(Due Feb 26)
Mon, Feb 19 14 Making Plots in R
R and Uniform Distributions
Project 2, Part II: Visualizing Data in R and Excel
(Anthrax & Sample Means)

(Due Mar 7)
Wed, Feb 21 15 The Normal Distribution

R and Normal Distributions
Excel Functions Related to Normal Distributions
Exercises - The Normal Distributon

Fri, Feb 23 16 Distributions of Sample Means and the Central Limit Theorem Exercises - The Centeral Limit Theorem

Mon, Feb 26 17 Approximating a Binomial Distribution with a Normal Curve Exercises - Normal Approximations to Binomial Distributions

Wed, Feb 28 18 Review
Fri, Mar 2 19 Test 2
Mon, Mar 5 20 Confidence Intervals for Proportions

Confidence Intervals for Proportions in R and Excel
Exercises - Conf. Intervals for Proportions

Wed, Mar 7 21 Installing Packages in R
Project 3: Statistical Confidence & the Chi Square Distribution (Due Mar 21)
Fri, Mar 9 22 Hypothesis Testing: Basic Principles
Mar 12-16 SPRING BREAK
Mon, Mar 19 23 Hypothesis Tests for Proportions (One Sample)
Hypothesis Testing - A Quick Review

Conducting One Proportion Tests in R
Exercises - Hyp. Tests for Proportions (One Sample)

Wed, Mar 21 24 Hypothesis Tests for Proportions (Two Samples) Exercises - Hyp. Tests for Proportions (Two Samples)

Project 4: Testing for Normality (Due Apr 6)
Fri, Mar 23 25 Chi-Squared Tests

R and Chi-Squared Distributions
Exercises - Chi-Squared Tests

Mon, Mar 26 26 t-Distributions
Confidence Intervals and Hypothesis Tests for Means
Exercises - Conf. Intervals & Hyp. Tests for Means

Wed, Mar 28 27 R and t-Distributions

Fri, Mar 30 28 Review Exercises - Conf. Intervals & Hyp. Testing (One Sample, Means and Proportions)
Mon, Apr 2 29 Test 3
Wed, Apr 4 30 Hypothesis Tests for Comparing Means

R and Tests for Comparing Means
Exercises - Comparing Means

Exercises - Hypothesis Testing (Two Samples)

Fri, Apr 6 31 ...continue comparing means

Project 5: Rise of the t-Distribution & The Importance of Assumptions (Due Apr 16)
Mon, Apr 9 32 ANOVA and Scheffe Tests

R and ANOVA
Exercises - One way Analysis of Variance (ANOVA)

Wed, Apr 11 33 ...continue ANOVA
Fri, Apr 13 34 Parametric vs. Non-parametric Tests
Kruskal-Wallis, Wilcoxon Tests

R and Non-Parametric Tests
Exercises - Kruskal-Wallis, Wilcoxon Tests

Mon, Apr 16 35 Correlation and Scatterplots
The Line of Best Fit
Explained Variation and the Coefficient of Determination

R and Correlations

Exercises - Simple Linear Regression and One-way Analysis of Variance

Final Project: Correlation, Causation & Pecan Trees
(Due Apr 30)
Wed, Apr 18 36 Spearman's Rank Sum Correlation Test
Fri, Apr 20 37
Mon, Apr 23 38 Review
Wed, Apr 25 39 Review
Fri, Apr 27 40 Test 4
Mon, Apr 30 42 Wrap up and Review for Final Exam Final Exam Times:

MWF class @ 9:30: Wed, May 9th from 9 am - 12 noon,
MWF class @ 10:45: Wed, May 2nd from 9 am - 12 noon,
MWF class @ 12:00: Thur, May 3rd from 2 pm - 5 pm,
MWF class @ 1:15: Thur, May 3rd from 9 am - 12 noon