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Chapter 13- Inference For Tables: Chi-square Procedures Section 13.1- Test for goodness of fit Section 13.2- Inference for Two-Way tables Presented By: Tyesha Bailey
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Introduction: Things to learn throughout the chapter Goodness of Fit Calculate expected values for every category in a distribution, chi-squared statistic, and P-value State the null and alternative hypothesis for differences between two distributions Use components of the chi-square statistic to identify the most important deviations between observed and expected counts Two-Way Tables Arrange data for successes and failures into a two- way table
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Introduction: Things to learn throughout the chapter Continued…. Use percents to describe relationships between two categorical variables Interpreting Chi-square tests of Independence Identify expected cell counts, chi-square statistic, and its P-value using the calculator Explain what the null hypothesis the chi-square statistic tests in a specific two-way table Determine the deviations from the null hypothesis by using percents, comparison of expected and observed counts, and the components of chi- square statistic
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Introduction: Things to learn throughout the chapter Continued…. Doing Chi-square Tests Calculate the expected value of any observed count in a two-way table Calculate the component of the chi-square statistic for any cell, Give the degrees of freedom for the chi-square statistic Use chi-square critical values to approximate the P-value of a chi-square test
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Vocabulary: Words to be familiar with throughout the chapter Chi-square test for goodness of fit- test that shows the difference between the observed sample and the hypothesis population distributions Chi-square distributions- Family of distributions that take only positive values and are skewed right Degrees of freedom- chi-square distribution specified by one parameter Goodness of fit test- helps determine whether a population has a certain hypothesized distribution, and expressed as percents of population
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Vocabulary: Words to be familiar with throughout the chapter Expected counts- any cell of a two-way table when the alternative hypothesis is true Chi-square statistic- a measure of how far the observed counts in a two- way table are from the expected counts.
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Examples Of Topics/ Equations Two-way table Two-way table Expected Count Expected Count Chi-square, Degrees of freedom, P-value Chi-square, Degrees of freedom, P-value
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Conclusion of Chapter 13/ Need to know Topics Chi-square test for goodness of fit Chi-square test for independence Goodness of fit test Degrees of freedom Two-way tables P-values Expected Counts Chi-square Statistic All equations in the chapter
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