PDB_Stat_100_Lecture_05

PDB_Stat_100_Lecture_05 - STA 100 Lecture 5 Paul Baines...

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Unformatted text preview: STA 100 Lecture 5 Paul Baines Department of Statistics University of California, Davis January 12th, 2011 Admin for the Day I Homework 1 due today I Homework 2 posted today, due Wednesday, Jan 19th in class I Comments: Negative values 6 = Wrong answer. , No right way to do something (only a better way). , Admin for the Day I Homework 1 due today I Homework 2 posted today, due Wednesday, Jan 19th in class I Comments: Negative values 6 = Wrong answer. , No right way to do something (only a better way). , References for Today: Rosner, Ch 3.1-3.6 (7th Ed.) References for Friday: Rosner, Ch 3.7-3.8 (7th Ed.) Recap: Parameters vs. Statistics The most important slide in the whole course: I Parameters : Population quantities I Statistics : Sample quantities Recap: Parameters vs. Statistics The most important slide in the whole course: I Parameters : Population quantities (what we care about) I Statistics : Sample quantities (what we actually get) Recap: Parameters vs. Statistics The most important slide in the whole course: I Parameters : Population quantities (what we care about) I Statistics : Sample quantities (what we actually get) Really understanding the differences between estimands and estimators, and their properties is key to understanding many statistical methods. Estimating Population Quantities For the Minnesota Health Study, we care about the incidence of heart attacks in the Minneapolis-St.Paul area. I Parameter of Interest : I Statistic : Estimating Population Quantities For the Minnesota Health Study, we care about the incidence of heart attacks in the Minneapolis-St.Paul area. I Parameter of Interest : Proportion of population who have had a heart attack. I Statistic : Estimating Population Quantities For the Minnesota Health Study, we care about the incidence of heart attacks in the Minneapolis-St.Paul area. I Parameter of Interest : Proportion of population who have had a heart attack. I Statistic : Proportion of sample who have had a heart attack. Estimating Population Quantities For the Minnesota Health Study, we care about the incidence of heart attacks in the Minneapolis-St.Paul area. I Parameter of Interest : Proportion of population who have had a heart attack. I Statistic : Proportion of sample who have had a heart attack. We use statistics to estimate parameters. Parameters vs. Statistics Notation: I Parameters are usually denoted by greek letters e.g., μ , σ 2 , θ I Statistics are usually denoted by roman letters e.g., ¯ x , s 2 , T Types of Samples I Random sample : Types of Samples I Random sample : When every individual has a chance of being in the sample, and individuals are chosen independently. Types of Samples I Random sample : When every individual has a chance of being in the sample, and individuals are chosen independently....
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PDB_Stat_100_Lecture_05 - STA 100 Lecture 5 Paul Baines...

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