(Permutation Test for Means) Here is another view on hypothesis testing that we will illustrate with Example A of Section 11.2.1. We ask whether the measurements produced by methods A and B are identical or exchangeable in the following sense. There are 13 + 8 = 21 measurements in all and there are _21 8 _ , or about 2 105, ways that 8 of these could be assigned to method B. Is the particular assignment we have observed unusual among these in the sense that the means of the two samples are unusually different? a. Its _ not inconceivable, but it may be asking too much for you to generate all 21 8 _ partitions. So just choose a random sample of these partitions, say of size 1000, and make a histogram of the resulting values of X A X B. Where on this distribution does the value of X A X B that was actually observed fall? Compare to the result of Example B of Section 11.2.1. b. In what way is this procedure similar to the Mann-Whitney test?

COB 204 Notes 9/5 – 9/9 Development in the IS workplace o IS is built for business professionals o Take an active role in specifying system requirements to ensure the system meets the need of your company Managing Information System o Difficult and Complex Strategic Value Acquiring, Operating and Maintaining Constant evolution of IS Information o Knowledge derived from data, recorded as facts and figures o Meaningful Context Necessary Data Characteristic o Accurate o Relevant o Timely o Barely Sufficient (No info overload) o Cost efficient Functional Area o Different IS depar