You were asked to help with an 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), mothers’ current HOUSING status (“own” and “not-own”; “own” is the reference group), and NYC boroughs (the BOROUGH variable contains 5 categories “Manhattan”, “Bronx”, “Brooklyn”, “Queens” and “Staten Island”; “Manhattan” is the reference group). Write down the population model that estimates the effect of mother’s AGE on BW differently for each level of current HOUSING status while adjusting for BOROUGH. If you use dummy or binary variables, specify what they mean. TRUE/FALSE: When testing whether the effect of mother’s AGE on BW is different for each level of current HOUSING status (in part 1d) while adjusting for BOROUGH, one can use a t-test for corresponding slope How many degrees of freedom will be in the numerator and denominator of the Partial F-test that tests the association between the predictor BOROUGH and outcome BW while adjusting for the interaction between AGE and HOUSING in question 1? How many regression lines are modeled in question1?

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 an 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), mothers’ current HOUSING status (“own” and “not-own”; “own” is the reference group), and NYC boroughs (the BOROUGH variable contains 5 categories “Manhattan”, “Bronx”, “Brooklyn”, “Queens” and “Staten Island”; “Manhattan” is the reference group).

Write down the population model that estimates the effect of mother’s AGE on BW differently for each level of current HOUSING status while adjusting for BOROUGH. If you use dummy or binary variables, specify what they mean.
TRUE/FALSE: When testing whether the effect of mother’s AGE on BW is different for each level of current HOUSING status (in part 1d) while adjusting for BOROUGH, one can use a t-test for corresponding slope
How many degrees of freedom will be in the numerator and denominator of the Partial F-test that tests the association between the predictor BOROUGH and outcome BW while adjusting for the interaction between AGE and HOUSING in question 1?
How many regression lines are modeled in question1?

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