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# chapter16 - Chapter 16 The Chi-Square Statistic PowerPoint...

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Unformatted text preview: Chapter 16 The Chi-Square Statistic PowerPoint Lecture Slides Essentials of Statistics for the Behavioral Sciences Seventh Edition by Frederick J. Gravetter and Larry B. Wallnau Chapter 16 Learning Outcomes Concepts to review • Proportions (math review, Appendix A) • Frequency distributions (Chapter 2) 16.1 Parametric and nonparametric statistical tests • Hypothesis tests used thus far tested hypotheses about population parameters • Parametric tests share several assumptions – Normal distribution in the population – Homogeneity of variance in the population – Numerical score for each individual • Nonparametric tests are needed when the research situation does not conform to the requirements of parametric tests. Chi-Square and other nonparametric tests • Do not state the hypotheses in terms of a specific population parameter • Make few assumptions about the population distribution – Often termed distribution free tests • Participants usually classified into categories – Nominal or ordinal scales are used – Data for nonparametric tests are frequencies 16.2 Chi-Square Test for Goodness of Fit • Uses sample data to test hypotheses about the shape or proportions of a population distribution. • Tests the fit of the proportions in the obtained sample with the hypothesized proportions of the population. Null hypothesis for Goodness of Fit • Specifies the proportion (or percentage) of the population in each category. • Rationale for null hypotheses: – No preference among categories. – No difference in one population from the proportions in another known population Figure 16.1 Distribution of eye-color for a sample of n = 40 Data for the Goodness of Fit Test • In a sample of data, individuals in each category are counted....
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## This note was uploaded on 04/08/2011 for the course PSY 216 taught by Professor Cynthiaingle during the Spring '11 term at KCTCS.

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chapter16 - Chapter 16 The Chi-Square Statistic PowerPoint...

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