# Consortium for the Advancement of Undergraduate Statistics Education Collection Resources (41)

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This is a collection of applets regarding various topics in statistics. Topics ...

This is a collection of applets regarding various topics in statistics. Topics include Central Limit Theorem, Probability Distributions, Hypothesis Testing, Power, Confidence Intervals, Correlation, Control Charts, Experimental Design, and Data Analysis.

Subject:
Statistics and Probability
Material Type:
Activity/Lab
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Provider Set:
Causeweb.org
Author:
Anderson-Cook, C.
C.Anderson-Cook
Dorai-Raj, S.
Robinson, T.
S.Dorai-Raj
T.Robinson
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The applet in this section allows for simple data analysis of univariate ...

The applet in this section allows for simple data analysis of univariate data. Users can either generate normal or uniform data for k samples or copy and paste data from another source to a text box. A univariate analysis is performed for all k samples.

Subject:
Statistics and Probability
Material Type:
Activity/Lab
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Provider Set:
Causeweb.org
Author:
C. Anderson-Cook, S. Dorai-Raj, T. Robinson, Virginia Tech Department of Statistics
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This applet from Statistical Java allows the user to generate bivariate data ...

This applet from Statistical Java allows the user to generate bivariate data for analysis with simple linear regression. The page describes the equations used to generate the data and estimate the regression lines.

Subject:
Statistics and Probability
Material Type:
Activity/Lab
Provider:
Provider Set:
Causeweb.org
Author:
Anderson-Cook, C.
C.Anderson-Cook
Dorai-Raj, S.
Robinson, T.
S.Dorai-Raj
T.Robinson
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This text document lists detailed learning objectives for introductory statistics courses. Learning ...

This text document lists detailed learning objectives for introductory statistics courses. Learning objectives are brief, clear statements of what learners will be able to perform at the end of a course.

Subject:
Statistics and Probability
Material Type:
Activity/Lab
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Causeweb.org
Author:
Jeff Thompson, Pam Arroway, Roger Woodard, North Carolina State University
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The applets in this section allow users to see how probabilities and ...

The applets in this section allow users to see how probabilities and quantiles are determined from a Normal distribution. For calculating probabilities, set the mean, variance, and limits; for calculating quantiles, set the mean, variance, and probability.

Subject:
Statistics and Probability
Material Type:
Activity/Lab
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Provider Set:
Causeweb.org
Author:
C. Anderson-Cook, S. Dorai-Raj, T. Robinson, Virginia Tech Department of Statistics
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This group activity focuses on conducting an experiment to determine which of ...

This group activity focuses on conducting an experiment to determine which of two brands of paper towels are more absorbent by measuring the amount of water absorbed. A two-sample t-test can be used to analyze the data, or simple graphics and descriptive statistics can be used as an exploratory analysis. Students are asked to think about design issues, and to write a short report stating their results and conclusions, along with an evaluation of the experimental design.

Subject:
Statistics and Probability
Material Type:
Activity/Lab
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Provider Set:
Causeweb.org
Author:
Christopher J. Malone, Christopher R. Bilder, Deborah J. Rumsey, John E. Boyer, Kansas State University, Ohio State University, Oklahoma State University
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This material is a detailed exercise for students in introductory statistics. Students ...

This material is a detailed exercise for students in introductory statistics. Students are asked to collect a random sample of data from a real estate website; conduct descriptive statistics (including confidence intervals); and write a report summarizing their findings.

Subject:
Statistics and Probability
Material Type:
Activity/Lab
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Provider Set:
Causeweb.org
Author:
Roger Woodard
Woodard, Roger
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This activity leads students to appreciate the usefulness of simulations for approximating ...

This activity leads students to appreciate the usefulness of simulations for approximating probabilities. It also provides them with experience calculating probabilities based on geometric arguments and using the bivariate normal distribution. We have used it in courses in probability and mathematical statistics, as well as in an introductory statistics course at the post-calculus level.

Subject:
Statistics and Probability
Material Type:
Activity/Lab
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Provider Set:
Causeweb.org
Author:
Allan J. Rossman and Beth L. Chance
Chance, Beth, Cal Poly State University
Rossman, Allan, Dickinson College
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This applet allows the user to adjust the value of r and ...

This applet allows the user to adjust the value of r and p of the Negative Binomial Distribution with a slider or manual input. The applet allows the user to fix the x and or y axes. The user immediately sees how this affects the shape of the graph.

Subject:
Statistics and Probability
Material Type:
Activity/Lab
Provider:
Provider Set:
Causeweb.org
Author:
C.Anderson-Cook, S.Dorai-Raj, T.Robinson, Virginia Tech Department of Statistics
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The activity is designed to help students develop a better intuitive understanding ...

The activity is designed to help students develop a better intuitive understanding of what is meant by variability in statistics. Emphasis is placed on the standard deviation as a measure of variability. As they learn about the standard deviation, many students focus on the variability of bar heights in a histogram when asked to compare the variability of two distributions. For these students, variability refers to the variation in bar heights. Other students may focus only on the range of values, or the number of bars in a histogram, and conclude that two distributions are identical in variability even when it is clearly not the case. This activity can help students discover that the standard deviation is a measure of the density of values about the mean of a distribution and to become more aware of how clusters, gaps, and extreme values affect the standard deviation.

Subject:
Statistics and Probability
Material Type:
Activity/Lab
Provider:
Provider Set:
Causeweb.org
Author:
delMas, Robert C.
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The t-distribution activity is a student-based in-class activity to illustrate the conceptual ...

The t-distribution activity is a student-based in-class activity to illustrate the conceptual reason for the t-distribution. Students use TI-83/84 calculators to conduct a simulation of random samples.

Subject:
Statistics and Probability
Material Type:
Activity/Lab
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Provider Set:
Causeweb.org
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Dawson (1995) presented a data set giving a population at risk and ...

Dawson (1995) presented a data set giving a population at risk and fatalities for an “unusual episode” (the sinking of the ocean liner Titanic) and discussed the use of the data set in a first statistics course as an elementary exercise in statistical thinking, the goal being to deduce the origin of the data. Simonoff (1997) discussed the use of this data set in a second statistics course to illustrate logistic regression. Moore (2000) used an abbreviated form of the data set in a chapter exercise on the chi-square test. This article describes an activity that illustrates contingency table (two-way table) analysis. Students use contingency tables to analyze the “unusual episode” data (from Dawson 1995) and attempt to use their analysis to deduce the origin of the data. The activity is appropriate for use in an introductory college statistics course or in a high school AP statistics course.

Subject:
Statistics and Probability
Material Type:
Activity/Lab
Provider:
Provider Set:
Causeweb.org
Author:
Mary Richardson, Grand Valley State University
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This activity is an advanced version of the “Keep your eyes on ...

This activity is an advanced version of the “Keep your eyes on the ball” activity by Bereska, et al. (1999). Students should gain experience with differentiating between independent and dependent variables, using linear regression to describe the relationship between these variables, and drawing inference about the parameters of the population regression line. Each group of students collects data on the rebound heights of a ball dropped multiple times from each of several different heights. By plotting the data, students quickly recognize the linear relationship. After obtaining the least squares estimate of the population regression line, students can set confidence intervals or test hypotheses on the parameters. Predictions of rebound length can be made for new values of the drop height as well. Data from different groups can be used to test for equality of the intercepts and slopes. By focusing on a particular drop height and multiple types of balls, one can also introduce the concept of analysis of variance.

Subject:
Statistics and Probability
Material Type:
Activity/Lab
Provider:
Provider Set:
Causeweb.org
Author:
Trent D. Buskirk and Linda J. Young, University of Nebraska-Lincoln and University of Nebraska-Lincoln
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The Food and Drug Administration requires pharmaceutical companies to establish a shelf ...

The Food and Drug Administration requires pharmaceutical companies to establish a shelf life for all new drug products through a stability analysis. This is done to ensure the quality of the drug taken by an individual is within established levels. The purpose of this out-of-class project or in-class example is to determine the shelf life of a new drug. This is done through using simple linear regression models and correctly interpreting confidence and prediction intervals. An Excel spreadsheet and SAS program are given to help perform the analysis.

Subject:
Statistics and Probability
Material Type:
Activity/Lab
Provider:
Provider Set:
Causeweb.org
Author:
Bilder, Christopher R.
Christopher R. Bilder
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The applets in this section allow you to see how different bivariate ...

The applets in this section allow you to see how different bivariate data look under different correlation structures. The Movie applet either creates data for a particular correlation or animates a multitude data sets ranging correlations from -1 to 1.

Subject:
Statistics and Probability
Material Type:
Activity/Lab
Provider:
Provider Set:
Causeweb.org
Author:
Anderson-Cook, C.
C. Anderson-Cook
Dorai-Raj, S.
Robinson, T.
S. Dorai-Raj
T. Robinson
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This activity provides students with 24 histograms representing distributions with differing shapes ...

This activity provides students with 24 histograms representing distributions with differing shapes and characteristics. By sorting the histograms into piles that seem to go together, and by describing those piles, students develop awareness of the different versions of particular shapes (e.g., different types of skewed distributions, or different types of normal distributions), that not all histograms are easy to classify, that there is a difference between models (normal, uniform) and characteristics (skewness, symmetry, etc.).

Subject:
Statistics and Probability
Material Type:
Activity/Lab
Provider:
Provider Set:
Causeweb.org
Author:
Garfield, Joan
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This group activity illustrates the concepts of size and power of a ...

This group activity illustrates the concepts of size and power of a test through simulation. Students simulate binomial data by repeatedly rolling a ten-sided die, and they use their simulated data to estimate the size of a binomial test.

Subject:
Statistics and Probability
Material Type:
Activity/Lab
Provider:
Provider Set:
Causeweb.org
Author:
Blankenship, Erin
Young, Linda J., 1952-
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Students explore the definition and interpretations of the probability of an event ...

Students explore the definition and interpretations of the probability of an event by investigating the long run proportion of times a sum of 8 is obtained when two balanced dice are rolled repeatedly. Making use of hand calculations, computer simulations, and descriptive techniques, students encounter the laws of large numbers in a familiar setting. By working through the exercises, students will gain a deeper understanding of the qualitative and quantitative relationships between theoretical probability and long run relative frequency. Particularly, students investigate the proximity of the relative frequency of an event to its probability and conclude, from data, that the dispersion of the relative frequency diminishes on the order .

Subject:
Statistics and Probability
Material Type:
Activity/Lab
Provider:
Provider Set:
Causeweb.org
Author:
Jones, Brian D.
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In these activities designed to introduce sampling distributions and the Central Limit ...

In these activities designed to introduce sampling distributions and the Central Limit Theorem, students generate several small samples and note patterns in the distributions of the means and proportions that they themselves calculate from these samples.

Subject:
Statistics and Probability
Material Type:
Activity/Lab
Provider:
Provider Set:
Causeweb.org
Author:
Andrews, Douglas
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An important objective in hiring is to ensure diversity in the workforce. ...

An important objective in hiring is to ensure diversity in the workforce. The race or gender of individuals hired by an organization should reflect the race or gender of the applicant pool. If certain groups are under-represented or over-represented among the employees, then there may be a case for discrimination in hiring. On the other hand, there may be a number of random factors unrelated to discrimination, such as the timing of the interview or competition from other employers, that might cause one group to be over-represented or under-represented. In this exercise, we ask students to investigate the role of randomness in hiring, and to consider how this might be used to help substantiate or refute charges of discrimination.

Subject:
Statistics and Probability
Material Type:
Activity/Lab
Provider: