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Lecture04 - 1 Assignment • After this lecture start...

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Unformatted text preview: 1 Assignment • After this lecture, start Assignment #2. – It’s in the course binder. 2 Sociology 549, Lecture 4 What is typical? Measures of center by Paul von Hippel Sociology 549 3 What is typical? • Measures of center – Mean – Trimmed mean – Median – Mode • Sensitivity to extreme values 4 Arguing from examples • “ Is Miss America an Undernourished Role Model?” – Rubinstein, Sharon MHS. Caballero, Benjamin MD, PhD. Journal of the American Medical Association , 283 (12):1569, March 22/29, 2000. • Yes example – Suzette Charles (1984) weighed just 100 pounds • No example (Robert Renneisen Jr., CEO Miss America Org.) – “Recent winners have had some of the highest body mass readings, – a reflection of pageant officials’ emphasizing brains over beauty.” • Source: John Curran, Associated Press • http://abcnews.go.com/sections/living/DailyNews/missamerica000322.html Katie Harman (2002) 5 What’s typical? • Isolated examples are useless • Let’s get (available) winners from the past 19 years – http://www.pbs.org/wgbh/amex/missamerica/sfeature/sf_list.html Year Name Height Weight BMI 1984 Suzette Charles 5' 3" (63") 100 17.7 1985 Sharlene Wells 5' 8" (68") 120 18.2 1986 Susan Akin 5' 9" (69") 114 16.8 1987 Kellye Cash 5' 8" (68") 116 17.6 1988 Kaye Lani Rae Rafko 5' 10" (70") 131 18.8 1989 Gretchen Carlson 5' 3" (63") 108 19.1 1990 Debbye Turner 5' 8" (68") 118 17.9 1991 Marjorie Vincent 5' 6" (66") 110 17.8 1998 Kate Shindle 5' 11" (71") 145 20.2 1999 Nicole Johnson 5' 9" (69") 133 19.6 2001 Angela Perez Baraquio 5' 4" (64") 118 20.3 2002 Katie Harman 5' 3" (63") 110 19.5 BMI = 703 Weight / Height 2 . (Weight in pounds, height in inches.) BMI<19.1: “underweight” (NHANES) BMI<18.5: “undernourished” (WHO) BMI=22.7: average for women age 20-29 6 Measures of center 1. Mean (average) N Y Y ∑ = The mean “Y bar” equals the sum ( Σ ) of all the values Y , divided by the number of values N . 7 Calculating the mean: Example Weight BMI (Y) 100 17.7 120 18.2 114 16.8 116 17.6 131 18.8 108 19.1 118 17.9 110 17.8 145 20.2 133 19.6 118 20.3 110 19.5 Σ Y 223.6 N 12 Ybar= Σ Y/N 18.6 N Y Y ∑ = BMI<19.1: “underweight” (NHANES) BMI<18.5: “undernourished” (WHO) BMI=22.7: average for women age 20-29 16 17 18 19 20 21 BMI aka center of mass, balance point 8 Extreme value • Prediction – Miss America 2004=Ruben • Talent: popular song • height: 6’4” (76”) • weight: 350 pounds 9 15 20 25 30 35 40 45 BMI Mean is sensitive to extreme values Y ear Nam e B M I (Y ) 1984 S uzette Charles 17.7 1985 S harlene W ells 18.2 1986 S usan A kin 16.8 1987 K ellye Cash 17.6 1988 K aye Lani Rae Rafko 18.8 1989 Gretchen Carlson 19.1 1990 Debbye Turner 17.9 1991 M arjorie V incent 17.8 1998 K ate S hindle 20.2 1999 Nicole Johnson 19.6 2001 A ngela P erez B araquio 20.3 2002 K atie Harm an 19.5 2003 Rube n Studda rd 42.6 Σ Y 266.2 N 13 Y bar 20.5 without Ruben: 18.6without Ruben: 18....
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Lecture04 - 1 Assignment • After this lecture start...

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