Penn State Department of Statistics

Statistical Education Resource Kit

Class lecture notes

All of the lecture notes here are Powerpoint slides.  In most cases, the slides are intended to be used as a portion of a 50-minute lecture rather than to serve as the entire lecture. 

  • If you want to use the slides directly in class without editing the slides, you can do so by selecting "View lecture notes" on the slides' main index page. 
  • If you want to edit the slides before using them, you should select "Download original powerpoint slides" on the slides' main index page.  Then, edit the slides in Powerpoint.

Overview of statistics

  • Introduction to statistics.  An introductory lecture or overview of statistics.  Includes a discussion of the difference between samples and populations. Submitted by Herb McGrath.   

Collecting data

  • Data collection forms.  General information and rules to follow when collecting data. Submitted by Laura J. Simon.

Types of data

  • Types of data.  Definitions and examples of different types of data. Submitted by Herb McGrath.
  • Types of data.  Definitions and examples of three main types of data - categorical, measurement, and ranked data.  Some slides borrowed from Herb McGrath and modified.   Submitted by Laura J. Simon.
  • Measurement concepts.  A summary of categorical and measurement variables, as well as discussion of margin of error, bias, validity, and reliability.  Submitted by Bob Heckard.

Describing data numerically

  • Measures of location. How to describe data with numbers by using measures of location.  Submitted by Laura J. Simon.
  • Measures of variability. How to describe data with numbers by using measures of variability such as range, interquartile range, variance, standard deviation, and coefficient of variation.  Submitted by Laura J. Simon.
  • Measures of variation. How to use measures of variation such as range, variance, standard deviation, interquartile range, and boxplot.  Submitted by Herb McGrath.

Describing data graphically

  • Graphs. An overview of summarizing data using graphs. Submitted by Laura J. Simon.

Probability and random variables

  • Probability.  Definitions, characteristics, and examples of probabilities.  Submitted by Herb McGrath.
  • Probability rules.  A summary of probability rules and the ways of assigning probabilities to events.  Submitted by Laura J. Simon.
  • Probability concepts. An introduction to the basic concepts of probability. Submitted by Bob Heckard.
  • The birthday problem.  A sample problem which illustrates the probability of at least two people in the class having the same birthday.  Submitted by Laura J. Simon.
  • Conditional probabilities.  How to compare groups using conditional probabilities, relative risk, and related measures.  Submitted by Laura J. Simon.
  • Two way tables.  An introduction to two way tables and various probabilities. Submitted by Laura J. Simon.
  • Two way table example: medical diagnostic testing.  An example of accuracy in medical diagnostic testing and the interpretation of the results. Submitted by Laura J. Simon.

Expected Value

Binomial distribution

  • Binomial distribution.  An overview of the binomial distribution and other general probability distributions.  Submitted by Laura J. Simon
  • Bernoulli trials.  An introduction to Bernoulli trials using the binomial distribution.  Submitted by Herb McGrath.

Normal distribution

  • Normal distribution.  An introduction to the normal distribution and probability calculations with it.  Submitted by Herb McGrath.
  • Normal distribution.  An introduction to the normal distribution and general continuous probability density functions.  Submitted by Laura J. Simon.
  • Assessing normality. Interpreting normal probability plots.  Submitted by Herb McGrath.

Sampling distributions

  • Sampling distributions.  Definitions and examples of sampling distributions and the central limit theorem.  Submitted by Herb McGrath.
  • Sampling distributions.  An introduction to the sampling distribution of sample means and the central limit theorem. Submitted by Laura J. Simon.
  • Sampling distribution for proportions.  An introduction to sampling distribution for proportions.  Submitted by Bob Heckard.

Confidence Intervals

Hypothesis testing: concepts

  • Mr. Orangejuice goes on trial.  An evaluation of the difference in the Type I error rates in civil trials and criminal trials.  Submitted by Mosuk Chow.
  • Type I and Type II errors How to minimize the chance of Type I and Type II Errors.  Submitted by Laura J. Simon.
  • Hypothesis testing: Part I.  An introduction to the general ideas of hypothesis testing. Submitted by Laura J. Simon.
  • Hypothesis testing: Part II.  A continuation of the introduction to hypothesis testing including types of errors and making a decision based on the p-value.  Submitted by Laura J. Simon.
  • Examples of hypothesis tests A summary of examples of several hypothesis tests.  Submitted by Laura J. Simon.

Hypothesis testing: means

Hypothesis testing: proportions
 

Principles of experimental design

  • Types of studies.  Comparing observational studies and experiments. Submitted by Laura J. Simon.   

Samples, surveys and polls

  • Sampling. An introduction to sampling with replacement, sampling without replacement, and random sampling.  Submitted by Herb McGrath.

 

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This page is maintained by Laura J. Simon: lsimon@stat.psu.edu