MERLOT Materials

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Hierarchical models are used when there is nesting of observational units in the data and variables are observed on... see more

Data often exhibit a heaped distribution in situations when there are either rounding or recall issues. Then, heaping is... see more

This app allows the user to draw repeated samples from a specified population shape (normal, left-skewed, right-skewed,... see more

The Probability Integral Transform and the Accept-Reject Algorithm are two methods for generating a random variable with... see more

The Gambler’s Ruin is a well-known problem that can be used to illustrate a variety of probability concepts. Two players... see more

One popular class activity to help students understand chance behavior is to observe the runs of consecutive heads or... see more

In the three dimensional version of the Chaos Game we start with a regular polyhedron and mark selected points which will... see more

In the two dimensional version of the Chaos Game we start with a regular polygon and mark selected points which will... see more

The ANOVA F-test is used to test for difference in means between groups, and requires the conditions of normality (or... see more

In 2014, Schilling and Doi developed a binomial confidence interval procedure that produces coverage probabilities always... see more

Correlation and regression are two closely related topics. Often they are taught to students at about the same time, thus... see more

This applet facilitates exploration of type I and type 2 errors and power in hypothesis testing.

Students record the heights of male and female spouses. Students then use Excel to test for a correlation in heights of... see more

Students record the rates of photosynthesis for leaves under different light intensities. Students then use Excel to fit... see more

Students randomly sample male and female flour beetle pupa grown on three types of media and record the weight and sex of... see more

Students randomly sample finches from six different islands and record depths of the birds' beaks. Students then use... see more

Students randomly sample individuals from three different ethnic groups and record their ABO blood types. Students then... see more

Students record vital lung capacity from spirometer charts before and after asthma patients use a bronchodilator.... see more

Students randomly sample trees in a forest and record the tree trunk circumferences. Students then use Excel to fit a... see more

Students collect air samples and record the number of pollen grains per sample. Students then use Excel to fit a Poisson... see more

Students randomly sample fish from a lake and record the length of each fish. Students then use Excel to compute measures... see more

This site helps with the discovery the Central Limit Theorem.  The user first picks a distribution:  Uniform, Skewed... see more

This applet displays boxplots of independent random samples drawn from 4 populations and an ANOVA table for the... see more

Statcato is an open source Java based software for elementary statistics.  It includes just about every chart,... see more