05_anova - Two-way tables and ANOVA: Outline Equivalence of...

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Two-way tables and ANOVA : Outline Equivalence of the χ 2 test and two-population proportion tests. Two-population tests for means (review) ANOVA T. Parker () 1 / 14
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Inference for two proportions Inference using χ 2 : for testing no association. What if there are only two groups? < $20 $20 Total Credit 27 63 90 Cash 9 15 24 Total 36 78 114 Assume H 0 : no association between cash / credit and small / big, and do this: Take one direction as your two populations — ex: take small / big purchases as populations. Expected number of credit card users determined by margins. Expected proportion of credit card users from each proportion? T. Parker () 2 / 14
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Counts < $20 $20 Total Credit 27 63 90 Cash 9 15 24 Total 36 78 114 Proportions by purchase size < $20 $20 Credit .75 .8077 Cash .25 .1923 Total Test H 0 : p small = p big against H 1 : p small 6 = p big . z table Note: a quick way to find ˆ p pooled from the table of counts. . . Last time we found the χ 2 test statistic was 0.49. ... Compare to the z statistic. Check the χ 2 0.05,1 critical value. χ 2 table Compare to the z .975 critical value. T. Parker ()
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This note was uploaded on 09/26/2011 for the course 06E 071 taught by Professor Stuff during the Spring '11 term at University of Iowa.

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05_anova - Two-way tables and ANOVA: Outline Equivalence of...

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