STAT231 Study Guide - Midterm Guide: Pivotal Quantity, Likelihood Function, Confidence Interval

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Stat 231 midterm 2: tuesday march 8, 2016, 4:40-6:10 p. m. Seating is predetermined so please check your seat assignment at https://odyssey. uwaterloo. ca/teaching/schedule (available after march 4). Only pink tie or blue goggle calculators may be used. You may bring one (1) double-sided, letter sized (8. 5 x 11 inches), handwritten page of notes to the test (no photocopies). Midterm test 2 will focus on the material in sections 4. 1-4. 7 and 5. 1-5. 2, however you must still know the material from chapters 1-3. Given observed data and a model, determine the maximum likelihood estimate of an unknown parameter (sections 2. 2-2. 4) Invariance property of maximum likelihood estimates. (theorem 13, page 65) Definition of a point estimate of a parameter (definition 7, page 51) Definition of a point estimator of a parameter (definition 22, page 113) Relative likelihood function (definition 23, page 116), 100p% likelihood interval (definition 24, p. 116), and log relative likelihood function (definition 25, page 117)