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MTH 108: notes from week 4 and 5

by: Christina Horton

MTH 108: notes from week 4 and 5 MTH 108

Marketplace > University of Rhode Island > Mathematics > MTH 108 > MTH 108 notes from week 4 and 5
Christina Horton
GPA 3.3

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beginning notes from class from week 4 and 5
Topics in Mathematics
Barbara Kelly
Class Notes
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This 2 page Class Notes was uploaded by Christina Horton on Friday October 7, 2016. The Class Notes belongs to MTH 108 at University of Rhode Island taught by Barbara Kelly in Fall 2016. Since its upload, it has received 5 views. For similar materials see Topics in Mathematics in Mathematics at University of Rhode Island.


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Date Created: 10/07/16
Ch. 7.1-7.3 Ways to represent the colony population: Simple/Random Cluster(keep them together) Stratified (samplewithin strata) Systematic Census –everyone in the population Exercise:The student council wants to survey the student body about their library media center to improve their resources. They want to quickly survey 80 students. All School Assembly,satby grade: th 9 :seats 601-800 40 rows, 10 seats ina row 10 :seats 401-600 11 :seats 201-400 12 :seats 001-200 a.) How could they choose a SRS (Simple/Random sample)? - random number table (001-800) - doesn’t generate for all students inall grades. b.) How could they use a stratified sample? - Break them into groups (grouped by class already) –the agegroups are the strata - 4 groups (strata),randomly choose 20 within the groups; simple/random table c.) How could they use a cluster sample? - Keep groups together, grades are mixed – rows of 20 to 800 = 40 rows - 2 full columns (clusters) – represent all 4grades d.) How could they use a systematic sample? - 800 in the population, 80to survey, 10 person –80 times - Make sure everyone can be chosen (001-800), randomly select1 personby generating a random st integer between 1 & 10.1 person is between 1, 10, then add 10, 79times to get all 80people. BadSurvey Methods: - bias,favoring,under-coverage - online surveys - voluntary response: online polls,write-ins - convenient sample – under-coverage - non-response Experiment –a treatment is imposed looking for a relationship between 2 variables. Explanatory vs. Response Manipulated Measured (treatments and control) cause+effect justifyresponse - Used to try to predict response variable Confounding Variable –causes effectinresponse but was not taken into consideration with explanatory variable. Randomized Experiment – randomly choose treatments for subjects to reduce bias. Treatments (condition imposed) – canbe combinations, such as: Instruction types (x)online face-to-face hybrid (some of each) (x)weight loss exercise diet 10-20 min/day no change 21-30 min/day restricted 31-40 min/day 6 Treatments 1. 10-20 & no change 2. 10-20 & restricted 3. 21-30 & no change 4. 21-30 & restricted 5. 31-40 & no change 6. 31-40 & restricted Within Treatments: a.) Blinding – subjectunaware of treatments received (insome cases) b.) Placebo –used in control group (e.g.,sugarpill) c.) Double-blind –both subject& researcher unaware of treatment imposed Observational Studies - Used when unethical to impose treatment, likesmoking when pregnant, child restraints - Observe explanatory variable& response variable - Canstill measure response - Still looking for associations Results arestatistics,statisticsprojectparameters Statistics –describe the sample Parameters –describe the population Experimental units –name givento experimental subjects


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