CHLH%20244%20L19%20Chapter%2012%20Part%20I%20S08_NQ

# CHLH%20244%20L19%20Chapter%2012%20Part%20I%20S08_NQ -...

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Chi-Square Test I

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Parametric test and non-parametric test All the statistical tests we have studied thus far are designed to test the hypotheses about specific population parameters. These tests all concern parameters and require assumptions about parameters . They are called parametric test. Parameter tests require data from an interval or a ratio scale . Often we can be faced with the situations that do not meet the assumptions or requirements of parametric tests. In these situations, parametric tests are not appropriate tests. There are alternatives to parametric test, called non- parametric tests. No hypothesis statement or assumption on parameters (population distribution) distribution-free and parameter-free
Chi-Square test (non-parametric test) When assumptions concerning parameters and population distribution are not met When the scale of data are not interval and ratio Non-parametric tests are alternatives to parametric test. Chi-Square test is a commonly used non-parametric test.

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Types of tests and hypothesis statement in chi-square test Independence test between two variables H0: there is no association (relationship) between two variables H1: there is association between two variables Homogeneous test among subgroups H0: subgroups are homogeneous. H1: subgroups are not homogeneous. Goodness-of-fit test ( proportion difference between groups) Test hypothesis about the shape or proportions of a population distribution No preference H0: the population is divided equally among the categories No difference from a comparing population H0: the frequency distribution for one population is not different from the freq. distribution for another population.
Find critical values Degree of freedom = (Number of rows – 1) X (Number of columns – 1) In case of independence tests between two

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## This note was uploaded on 04/07/2008 for the course CHLH 244 taught by Professor Park during the Spring '08 term at University of Illinois at Urbana–Champaign.

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CHLH%20244%20L19%20Chapter%2012%20Part%20I%20S08_NQ -...

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