class05-1-handouts

# class05-1-handouts - PSTAT 120B Probability Statistics...

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PSTAT 120B - Probability & Statistics Class # 05-1- Conﬁdence intervals Jarad Niemi University of California, Santa Barbara 26 April 2010 Jarad Niemi (UCSB) Conﬁdence intervals 26 April 2010 1 / 18

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Class overview Announcements Announcements Homework Homework 4 will be posted later today - Due Monday 3 May Do not turn homework into my mailbox - you will now get a zero Mid-term 1 Next slides Jarad Niemi (UCSB) Conﬁdence intervals 26 April 2010 2 / 18
Class overview Exam 1 Histogram Score (-15) Frequency 15 20 25 30 35 0 2 4 6 8 10 Jarad Niemi (UCSB) Conﬁdence intervals 26 April 2010 3 / 18

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Class overview Exam 1 5 10 15 20 15 20 25 30 35 HW Score Exam1 Score Jarad Niemi (UCSB) Conﬁdence intervals 26 April 2010 4 / 18
Class overview Exam 2 Conﬁdence intervals Exact conﬁdence intervals Large-sample approximate conﬁdence intervals Determining sample size (experimental design) Small-sample conﬁdence intervals Conﬁdence intervals for σ 2 Estimators Eﬃciency Consistency Suﬃciency Rao-Blackwell Theorem Jarad Niemi (UCSB) Conﬁdence intervals 26 April 2010 5 / 18

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Class overview Goals Exact conﬁdence intervals Large-sample approximate conﬁdence intervals Jarad Niemi (UCSB) Conﬁdence intervals 26 April 2010 6 / 18
Class overview Perspective Many other professions obtain estimators Applied mathematicians Computer scientists Physicists Engineers Statisticians care about quantifying uncertainty If ˆ θ is reasonable, what about ˆ θ + 1 or ˆ θ/ 2?

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class05-1-handouts - PSTAT 120B Probability Statistics...

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