Dear all,
Quick question which I'm hoping has an obvious answer to those in the know! I have a sample drawn from the population, and a sample statistic of a dichotomous variable (e.g. 37% of people have a pet dog). I then take a subset of this sample, e.g. 18-24 year olds, and another statistic (e.g. 45% of 18-24 year olds have a pet dog). I want to know if this second statistic is significantly different from the first. What is the appropriate statistical test to use in this case? I have my doubts about using a t-test because one of the samples is a sub-set of the first. Is it sufficient to calculate confidence limits around the total sample statistic, and see if the subgroup statistic lies inside or outside these limits? Thanks, Mark |
Mark,
Cross-classify (crosstab) age with pet ownership (both categorical variables, one of which is ordered - age). You can use the chi-square test to establish, in the first instance, whether or age and pet ownership are independent: i.e., answer the question "Is there an association between age and pet ownership?" Make sure that your data set meets the test's requirements: no more than 20% of cells have *expected* frequencies less than 5, and all cells have *expected* frequencies of 1 or more. SPSS will tell you this at the bottom of the chi-square tests table. If you find that age and pet ownership are not independent (i.e. are associated), then you can explore your contingency table further (partition chi-square): this will help you determine which categories contribute most to the association between age and pet ownership. Cheers, Dominic Dominic Lusinchi Statistician Far West Research Statistical Consulting San Francisco, California 415-664-3032 www.farwestresearch.com -----Original Message----- From: SPSSX(r) Discussion [mailto:[hidden email]] On Behalf Of Mark Lenel Sent: Friday, November 03, 2006 3:43 AM To: [hidden email] Subject: dichotomous variables - statistical tests Dear all, Quick question which I'm hoping has an obvious answer to those in the know! I have a sample drawn from the population, and a sample statistic of a dichotomous variable (e.g. 37% of people have a pet dog). I then take a subset of this sample, e.g. 18-24 year olds, and another statistic (e.g. 45% of 18-24 year olds have a pet dog). I want to know if this second statistic is significantly different from the first. What is the appropriate statistical test to use in this case? I have my doubts about using a t-test because one of the samples is a sub-set of the first. Is it sufficient to calculate confidence limits around the total sample statistic, and see if the subgroup statistic lies inside or outside these limits? Thanks, Mark |
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