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You were asked to help with analysis of birth weights (BW) of 10,000 infants born in NYC during a certain period of time. The aim of the analysis is to see whether the birth weights of the infants are associated with mothers AGE at birth (continuous variable in years) and mothers smoking status (the maternal smoking status MSS contains 4 categories “Non-smoker”, “Past-smoker”, “Passive-smoker”, “Smoker”) and NYC boroughs (the BOROUGH variable contains 5 categories “Manhattan”, “Bronx”, “Brooklyn”, “Queens” and “State Island”). Write down the population model that will properly test the effect of 3-way interaction between AGE, MSS, and BOROUGH on BW. THIS IS A 3 WAY INTERACTION BETWEEN THIS THREE PREDICTORS.

You were asked to help with analysis of birth weights (BW) of 10,000 infants born in NYC during a certain period of time. The aim of the analysis is to see whether the birth weights of the infants are associated with mothers AGE at birth (continuous variable in years) and mothers smoking status (the maternal smoking status MSS contains 4 categories “Non-smoker”, “Past-smoker”, “Passive-smoker”, “Smoker”) and NYC boroughs (the BOROUGH variable contains 5 categories “Manhattan”, “Bronx”, “Brooklyn”, “Queens” and “State Island”). Write down the population model that will properly test the effect of 3-way interaction between AGE, MSS, and BOROUGH on BW. THIS IS A 3 WAY INTERACTION BETWEEN THIS THREE PREDICTORS.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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You were asked to help with analysis of birth weights (BW) of 10,000 infants born in NYC during a certain period of time. The aim of the analysis is to see whether the birth weights of the infants are associated with mothers AGE at birth (continuous variable in years) and mothers smoking status (the maternal smoking status MSS contains 4 categories “Non-smoker”, “Past-smoker”, “Passive-smoker”, “Smoker”) and NYC boroughs (the BOROUGH variable contains 5 categories “Manhattan”, “Bronx”, “Brooklyn”, “Queens” and “State Island”). Write down the population model that will properly test the effect of 3-way interaction between AGE, MSS, and BOROUGH on BW. THIS IS A 3 WAY INTERACTION BETWEEN THIS THREE PREDICTORS. Attached is an example.

Predictors: (T) Treatment (Trx vs. Pboref) (C) Compliance with medication (Yes vs. Noref) (B) Cocaine dependence at Baseline • weakref: 1-2 days of use per week • moderate: 3-4 days of use per week • strong: 5 or more days of use per week Y = Bo +B1T + B2C + B3 Bm + B4Bs S +³5T * C + B6C * Bm + ß7C * B3 +B8T * Bm + ß9T * Bs +10T*C* Bm + B11T * C * B₂+ € S
Transcribed Image Text:Predictors: (T) Treatment (Trx vs. Pboref) (C) Compliance with medication (Yes vs. Noref) (B) Cocaine dependence at Baseline • weakref: 1-2 days of use per week • moderate: 3-4 days of use per week • strong: 5 or more days of use per week Y = Bo +B1T + B2C + B3 Bm + B4Bs S +³5T * C + B6C * Bm + ß7C * B3 +B8T * Bm + ß9T * Bs +10T*C* Bm + B11T * C * B₂+ € S
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