# Resource Library

#### Statistical Topic

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• ### Analysis Tool: Chi-Square Test for Known Distributions

This test checks whether an observed distribution differs from an expected distribution. It computes the chi-square statistic, degrees of freedom (DoF), and p-value. Users input a table with row and column labels, observed frequencies on the first row, and expected frequencies on the second row. The null hypothesis is that the observed values have the expected frequency distribution.

• ### Analysis Tool: Distribution Tables

Compared to probability calculators, the traditional format of distribution tables has the advantage of showing many values simultaneously and, thus, enables the user to examine and quickly explore ranges of probabilities. This webpage includes a list of distributions and tables, including the standard normal (Z) table, student's t table, chi-square table, and F distribution tables. An animation of the density function and distribution function is shown above each distribution table to demonstrate the effects changing degrees of freedom and significance levels have on the shape of a distribution.

• ### Being Warren Buffett: a classroom simulation of financial risk (includes Dataset)

March 24, 2009 Activity webinar presented by Nicholas Horton, Smith College, and hosted by Leigh Slauson, Otterbein College. Students have a hard time making the connection between variance and risk. To convey the connection, Foster and Stine (Being Warren Buffett: A Classroom Simulation of Risk and Wealth when Investing in the Stock Market; The American Statistician, 2006, 60:53-60) developed a classroom simulation. In the simulation, groups of students roll three colored dice that determine the success of three "investments". The simulated investments behave quite differently. The value of one remains almost constant, another drifts slowly upward, and the third climbs to extremes or plummets. As the simulation proceeds, some groups have great success with this last investment--they become the "Warren Buffetts" of the class. For most groups, however, this last investment leads to ruin because of variance in its returns. The marked difference in outcomes shows students how hard it is to separate luck from skill. The simulation also demonstrates how portfolios, weighted combinations of investments, reduce the variance. In the simulation, a mixture of two poor investments is surprisingly good. In this webinar, the activity is demonstrated along with a discussion of goals, context, background materials, class handouts, and references (extra materials available for download free of charge)

• ### Data Collection: Comprehensive Epidemiologic Data Resource

The Comprehensive Epidemiologic Data Resource is a collection of data sets. It includes definitions of each variable in the data set. It requires a login to retrieve the data sets. Registering involves giving your name and address and the name of the study and a detailed description of the intended use of the data.
• ### STatistics Education Web (STEW)

The STatistics Education Web, also called STEW, is an online collection of peer-reviewed statistics lesson plans for K-12 teachers. The web site is maintained by the ASA and accessible to K-12 teachers throughout the world. Lessons cover a wide range of probability and statistics topics.
• ### Statistics: The Art & Science of Learning from Data -- Web Apps

The textbook website for "Statistics: The Art & Science of Learning from Data," by Agresti, Franklin and Klingenberg, has a collection of Shiney Apps for visualizing statistical concepts. There are usable on computers, tablets and smart phones. Apps include Exploratory Analysis, Random Numbers, Association and Linear Regression, Distributions, Probabilities, Sampling distributions, Central Limit Theorem,, Inferential Methods (one and two samples), ANOVA, and Bootstrap Confidence Intervals & Permutation Tests.
• ### Data Collection: Are Female Hurricanes Deadlier than Male Hurricanes?

This complete lesson plan, which includes assessments, is based upon a data set partially discussed in the article "Female Hurricanes are Deadlier than Male Hurricanes." The data set contains archival data on actual fatalities caused by hurricanes in the United States between 1950 and 2012. Students analyze and explore this hurricane data in order to formulate a question, design and implement a plan to collect data, analyze the data by measures and graphs, and interpret the results in the context of the original question.
• ### Estimating Ages of Famous People

This webpage provides an active learning lesson for linear regression. Resources include an in-class student activity sheet for two different levels of classes (Algebra I and Junior), a PowerPoint showing faces of famous people, and sheet with updated (to the end of current year) actual ages of the celebrities.
• ### **Hypothesis Test For a Population Proportion Using the Method of Rejection Regions

The purpose of this applet is to provide students with guided practice through problems on hypothesis testing for a population proportion using the method of rejection regions.
• ### Data Collection+Examples: STATS Issue 42 Winter 2005

This issue contains articles about microarray data and the partnership between statisticians and biologists, ASA Stat Bowl at JSM 2005, an interview with Stat Bowl 2004 champion Jesse Frey, USCOTS 2005 plans, cluster sampling, an analysis of Civil War intelligence sleuth's Alan Pinkerton's incompetence.