Introductory Statistics

 

IS: Course Slide Decks

[Slide Decks]
Slide Decks

This holds links to all the slide decks I will use in class. This is (perhaps) the most important page, because it gives you the necessary information for what I will be covering in class — and for what I may be quizzing on at the start of class.

To be clear, I expect you to download and read the slide decks before class (the handout version [pdf]). I further expect either that you will take notes on the slides on your computer or that you will print out the handouts and take notes directly on them.

Several of the decks have an R script associated with them. For those that do, click on the [R] icon. Working through these scripts will increase your familiarity with the R Statistical Environment.

Finally, here is a link to all of the slide decks as a zip file. Feel free to download all of them at once. Note that it may take a while, because the file is about 90MB. Also, this file only contains the slidedecks as of the beginning of the course. If changes are made, they will not be reflected in these slides.

[Gathering Your Data] Module 1: Gathering Your Data
An Introduction to Statistics: Statistics is the study of reality
Deck a1 R4S Ch. 1 HLS §1.1 [pdf]      
 
Sampling Theory: What information does the variable contain?
Deck a2 R4S § 4.1 HLS §1.2 [pdf]      
 
Conducting a Statistical Study: The scientific method again rears its head
Deck a3 HLS §1.3 [pdf]      
 
What Not to Do: How to avoid bias
Deck a4 HLS §1.4 [pdf]      
 
[Knowing Your Data] Module 2: Knowing Your Data
Graphics for Categorical Variables: Illustrating discrete distributions
Deck b1 HLS §2.1 [pdf]       [R]
 
Graphics for Numeric Variables: How to summarize the data
Deck b2 HLS §2.2, 2.3 [pdf]       [R]
 
Measures of Point Values: Summarizing data with one number
Deck b3 R4S § 4.2 HLS §3.1 [pdf]       [R]
 
Measures of Uncertainty and Spread: A second statistic on the data
Deck b4 R4S § 4.3, 4.4 HLS §3.2, 3.3 [pdf]       [R]
 
[Probability Theory] Module 3: Probability Theory
Introduction to Probability: What is this monster?
See old version for a slide deck HLS §4.1
 
Addition Rules for Probability: Unions and sums
See old version for a slide deck HLS §4.2
 
Multiplication Rules for Probability: Independence, Bayes, and conditional probability
See old version for a slide deck HLS §4.3
 
Combinations and Permutations: Determining what counts
See old version for a slide deck HLS §4.4
 
Combining Probability and Counting Techniques: Bringing it all together
See old version for a slide deck HLS §4.5
 
Discrete Random Variables: The foundations of half of probability
Deck c1 R4S § A.1 HLS §5.1 [pdf]       [R]
 
Bernoulli and Binomial Distributions: Counting successful trials
Deck c2 R4S § A.2, A.3 HLS §5.2 [pdf]       [R]
 
Poisson Distribution: Counting over time or space
Deck c3 R4S § A.7 HLS §5.3 [pdf]       [R]
 
Hypergeometric Distribution: Countig scefl r
Deck c4 R4S § A.6 HLS §5.4 [pdf]       [R]
 
Geometric Distribution: Counting failures until the first success
Deck c5 R4S § A.4 [pdf]       [R]
 
Negative Binomial Distribution: Counting failures until the r th success
Deck c6 R4S § A.5 [pdf]       [R]
 
The Uniform Distribution: The original distribution
Deck c7 R4S § B.1, B.2 [pdf]       [R]
 
The Exponential Distribution: Time until success
Deck c8 R4S § B.5 [pdf]       [R]
 
The Normal Distribution: Gauss gave it to us
Deck c9 R4S § B.3, C.1, C.2 HLS §6.1–4 [pdf]       [R]
 
Approximating the Binomial: Why do this now?
Deck cA R4S § C.3 HLS §6.5 [pdf]       [R]
 
The Central Limit Theorem: The bridge of statistics
Deck cB R4S § C.3 HLS Ch. 7 [pdf]       [R]
 
[Introductory Inference] Module 4: Introductory Inference
Theory of the Confidence Interval: Estimating the parameter
Deck d1 R4S Ch. 5, 6 HLS §8.1– [pdf]      
 
Practice of the Confidence Interval: Using the computer to make life easier
Deck d2 R4S Ch. 5, 6 HLS §9.1– [pdf]       [R]
 
Theory of Hypothesis Testing: Testing claims about reality
Deck d3 R4S Ch. 5, 6 HLS §10.1 [pdf]      
 
Practice of Hypothesis Testing: Using the computer to make life easier
Deck d4 R4S Ch. 5, 6 HLS §10.2– [pdf]       [R]
 
[Advanced Inference] Module 5: Advanced Inference
Handling Means, I: One and two populations
Deck e1 R4S Ch. 5, 6 HLS §10.2 [pdf]       [R]
 
Handling Proportions: One and two populations
Deck e2 R4S Ch. 8 HLS §10.4 [pdf]       [R]
 
Handling Variances: One and two populations
Deck e3 [pdf]       [R]
 
A Goodness-of-Fit Test: Chi-square Goodness-of-Fit test
Deck e4 HLS §10.6 [pdf]       [R]
 
The Analysis of Variance Procedure: Comparing multiple means
Deck e5 R4S § 7.1, 7.2 HLS §11.6 [pdf]       [R]
 
Beyond the ANOVA Procedure: Which is different?
Deck e6 R4S § 7.3–7.5 [pdf]       [R]
 
Testing Categorical Independence: Chi-square test of independence
Deck e7 R4S Ch. 10 HLS §10.7 [pdf]       [R]
 
A History of Correlation: Is there a relationship?
Deck e8 R4S § 12.1 HLS §12.1 [pdf]       [R]
 
OLS Linear Regression: What is that relationship?
Deck e9 R4S § 12.2, 12.3 HLS §12.2, 12.3 [pdf]       [R]
 
Beyond Simple Linear Regression: Handling multiple independent variables
Deck eA R4S § 12.4 HLS §12.4 [pdf]       [R]
 
[The End] Course Summation
Introductory Statistics: How Far We’ve Come
[ppt] [YouTube video]

Important Note

Again: I expect you to download and read the slide decks before class. I further expect either that you will take notes on the slides on your computer or that you will print out the handouts and take notes directly on them. This is what a successful student does.

As I am altering the presentations as we move forward in this course (to keep this course current), I encourage you to download the slidedecks only one weekend in advance.

This page was last modified on 2 January 2024.
All rights reserved by Ole J. Forsberg, PhD, ©2008–2024. No reproduction of any of this material is allowed without explicit written permission of the copyright holder.