# part4 - Public Health 6450 – Fall 2011 Andrew Mugglin and...

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Unformatted text preview: Public Health 6450 – Fall 2011 Andrew Mugglin and Lynn Eberly Division of Biostatistics School of Public Health University of Minnesota [email protected] Part 04 Review Overview of the Study Cycle Study Design Where are we going? Previously: • Probability distributions • Quantitative Discrete (Binomial, Multinomial) • Quantitative Continuous (Normal) Current topics: • Overview of the study cycle • Specifics: sampling and study design Mugglin and Eberly PubH 6450 Fall 2011 Part 04 2 / 48 Review Overview of the Study Cycle Study Design The study cycle: Focus on the corners Mugglin and Eberly PubH 6450 Fall 2011 Part 04 3 / 48 Review Overview of the Study Cycle Study Design Another View of the Study Cycle Tru e State o f N atu re Pa ra m e te rs: μ , σ 2 , β , ρ , θ , p , … O b se rvatio n s S a m p le S ta tistics: Mugglin and Eberly PubH 6450 Fall 2011 Part 04 4 / 48 Review Overview of the Study Cycle Study Design The corners: Population → sample → statistics → parameters Definitions • A population is ‘all members of a class.’ We measure some characteristic (call it X ) within the population of interest. • A sample is a subset of this population in which we measure the characteristic, x 1 ,..., x n . Mugglin and Eberly PubH 6450 Fall 2011 Part 04 5 / 48 Review Overview of the Study Cycle Study Design The corners: Population → sample → statistics → parameters Definitions • A population is ‘all members of a class.’ We measure some characteristic (call it X ) within the population of interest. • A sample is a subset of this population in which we measure the characteristic, x 1 ,..., x n . • Statistics (sometimes called sample statistics) measure properties of this characteristic’s distribution in the sample, e.g., sample mean ¯ x , sample variance s 2 . • Parameters represent properties of this characteristic’s distribution in the population (population mean of X , population variance in X ). Mugglin and Eberly PubH 6450 Fall 2011 Part 04 5 / 48 Review Overview of the Study Cycle Study Design Simple example • Population : Women with primary progressive multiple sclerosis, about whom we want to characterize their Kurtzke Disability Status Scale (a continuous scale measure of disability), X • Sample : n women ages 35-55 years who are being treated for primary progressive multiple sclerosis at the University’s Multiple Sclerosis Center, for whom we measured their disability score, x 1 ,..., x n . • Statistics : sample mean disability score ¯ x , sample variance in disability score s 2 . • Parameters : population mean disability score ( E [ X ], E for expected disability score), population variance in disability score ( Var [ X ])....
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part4 - Public Health 6450 – Fall 2011 Andrew Mugglin and...

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