Education Technology

Statistics: Goodness-Of-Fit
by Texas Instruments

Published on April 10, 2011

Overview

Students test claims of whether given distributions "fit" theoretical distributions.

Key Steps

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    In Problem 1, students are introduced to the goodness-of-fit test and the test statistic. They also observe a graph and some may recognize the positively skewed chi square distribution. They can change the degrees of freedom and determine what large and small chi-square values would indicate.

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    Students investigate a scenario presented that tests a claim that every category has the same proportion. They will use the List Editor and the sum command to calculate the chi-square value and a Chi-Square distribution chart to find the critical value.

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    Finally, students will use the Shade command to calculate the P-value. At the end of this activity, students will be able to use a chi-squared test to test the hypothesis that an observed frequency distribution fits an expected frequency distribution.