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SOC 282 (3)
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Lecture

# Lab Notes 3.27.14.docx

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Department
Sociology
Course
SOC 282
Professor
Dr.Mullan
Semester
Spring

Description
Lab Notes 3.27.14 • Chi squared goodness of fit test o A one way X squared test can determine whether or not the observed frequencies differ significantly from an expected distribution  H0: there is no significant difference across categories  H1: there is significant difference across categories  Set up alpha, calculate the chi square statistic • X square = sum of (fe – fo) squared / fe o Fo: observed frequencies o Fe: expected frequencies • Degrees of freedom = k-1 , k is the number of categories o Use appendix D to find critical chi square (Fe – fo) (Fe-fo) squared (fo – fe) squared /fe Married 568.4 Widowed -239.6 Divorced -122.6 Separated -333.6 Never married 127.4 • Chi squared test for statistical association between two variables o Tests if there’s a significant relationship (at least statistically) between two variables o Also used to see if there is statistical independence  H0: there is no significant association between education and health in the population  H1: there is significant association between education and health in the population • Fe = (column marginal)(row marginal)/N o N= total number in the population/sample Unmarried Married total Fo-fe Fo-fe Fo-fe (unmarried (married) squared ) Fair/poor 201 (183.68) 155 356 (172.32) Good/excelle 494 (511.32) 497 991 nt (479.68) Total 695 652 1347 **(Picture of the rest of the table on my phone) • If after adding a control variable, the original significant bivariate association becomes insignificant, that suggests the relationship between the two variables is spurious. They are both determined by the third variable Case Processing Summary Cases Valid Missing Total N Percent N Percent N Percent FAVOR OR OPPOSE GUN 1332 65.8% 691 34.2% 2023 100.0% PERMITS * AFRAID TO WALK AT NIGHT IN NEIGHBORHOOD FAVOR OR OPPOSE GUN PERMITS * AFRAID TO WALK AT NIGHT IN NEIGHBORHOOD Crosstabulation AFRAID TO WALK AT NIGHT IN NEIGHBORHOOD YES NO Total FAVOR OR OPPOSE GUN FAVOR Count 369 681 1050 PERMITS % within AFRAID TO WALK 82.7% 76.9% 78.8% AT NIGHT IN NEIGHBORHOOD OPPOSE Count 77 205 282 % within AFRAID TO WALK 17.3% 23.1% 21.2% AT NIGHT IN NEIGHBORHOOD Total Count 446 886 1332 % within AFRAID TO WALK 100.0% 100.0% 100.0% AT NIGHT IN NEIGHBORHOOD Chi-Square Tests Asymp. Sig. (2- Exact Sig. (2- Exact Sig. (1- Value df sided) sided) sided) Pearson Chi-Square 6.132a 1 .013 Continuity Correction 5.785 1 .016 Likelihood Ratio 6.292 1 .012 Fisher's Exact Test .013 .008 Linear-by-Linear Association 6.127 1 .013 N of Valid Cases 1332 a. 0 cells (.0%) have expected count less than 5. The minimum expected count is 94.42. b. Computed only for a 2x2 table Controlled for sex Case Processing Summary Cases Valid Missing Total N Percent N Percent N Percent FAVOR OR OPPOSE GUN 1332 65.8% 691
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