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9 Feb 2015: Isthe test uniformly most powerful for testing H0 : θ = θ0 against H1 : θ > θ0? ... By first deriving the MLEs under each hypothesis, showthat the likelihood ratio and Pearson’s chi-squared tests are identical to those for theindependence test.

23 Jan 2015: 10. This question is about understanding what can happen to the F-test when the expectedvalue of the response is not necessarily linear in β. ... Suppose we try to test the hypothesis H0 : β1 = 0 against the alternative H1 : β1 6= 0 byrejecting the

11 Feb 2015: Then apply your hypothesis test to check whetherthe observation corresponding to humans is an outlier. ... What is theissue with using your test to now determine whether this college is an outlier?

23 Feb 2015: SXX/(n1)}1/2. Determine the distribution of T under H0, and hence. determine the size α likelihood ratio test. ... size α likelihood ratio test of equality of means rejects H0 if.

22 Jan 2015: Comments and corrections to david@statslab.cam.ac.uk. 1. Ask your supervisor to test you on the sheet of common distributions handed out inlectures.

10 Aug 2015: But I know it whenI see it. As in the legal world, we have agreed on tests for mirror symmetry:mirror symmetry at genus 0, homological mirror symmetry,.

10 Mar 2015: Department of Pure Mathematics and Mathematical StatisticsUniversity of Cambridge. CODES AND CRYPTOGRAPHY. The Enigma Cryptography Machine. Notes Lent 2015T. K. Carne. t.k.carne@dpmms.cam.ac.uk. Last revised: 10 March, 2015. c Copyright. Not for