Question

Homework D-Statistics for Independent Group Comparisons Summer 2018 eferences Mailings Review View Help Tell me what you want to do Word 10. Using the SPSS table below, which standard residual(s) are important for the investigators to note? a. Above poverty level b. Divorced c. Married d. Below Poverty level Current Marital Status Poverty Level Crosstabulation Poverty Level below poverty a above povert Current Marital Stabus married 19.0 Expected Count % within Current Marital 9.0 607% 28.0 1000% | 393%| % within Poverty Level % of Total Std. Residual 3.2% 22% 106% | 56% 3.4%| 55% separatecd Expected Count % within Current Marital 66.0 37.9%| 1000% 156%| 13.2% 5.0%| 13.2% 44.9 62 1% 21.1 Stabus % wthin Poverty Level %Of Total Std Residual 12.1% 82% Expected Count % within Current Marital 64 ?% 25.2%| 1000% Status %won Poverty Level % of Total 176% 17. 194% 11 4% 6.2% , Residual 38 12.0 33.3%| 100.0% 2.5%| 24% Expected Count % wrin Current Marital 8.2 66 7% % within Poverty Level %or Total std. Residual 2.4% 16% 9% 24% 223 208.1 72 9% 656% never mamied Count Expected Count 97.9 3060 271% 51 9% 16.6% % wthn Current Marital % within Poverty Level Bad. Residual Expected Count 1000% 61 2% 612% 500 500.0 100 32.0% 340.0 100 0% % Current Marital 1000%| 32 0% 1 1000% 100.0% 100 0% % within Poverty Level Scenarin 3

Answer 1

The standardized Residual is the residual divided by standard deviation which is similar to the z score. Hence it has approximately standard normal distribution.

General Rule: The 95% of the data lies between -2 and +2 value of standardized Residual and approximately 99.7% of the data lies between -3 and +3 value of standardized Residual

Generally the value of standardized Residual greater than 2 or less than -2 is considered as outliers.

From the SPSS result summary,

The standardized Residual value for Current Marital Status: married and Poverty Level: above poverty level, the standardized Residual is 2.7 which is greater than 2 which means the data values are outside the 95% limit and need to be analye because something is unusual with the data points.