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Data 2 - "Birth weight"

Learning outcomes

After having completed this chapter you will be able to:

  • Load data into R
  • Clean data if needed
  • Get some background information on the data
  • Explain the basic structure of the object and its problems
  • Answer a biological question
  • Find the right statistical tool
  • Interpret the results
  • Report results

Exercises

Birth weight

Background

We would like you to load the data from the MASS R package called birthwt (Risk Factors Associated with Low Infant Birth Weight). One can have a look at the help to understand the loaded object.

The birthwt data frame has 189 rows and 10 columns. The data were collected at Baystate Medical Center (Springfield, Massachussetts) during 1986.

This data frame contains the following columns:

  • low: indicator of birth weight less than 2.5 kg
  • age: mother’s age in years
  • lwt: mother’s weight in pounds at last menstrual period
  • race: mother’s race (1 = white, 2 = black, 3 = other)
  • smoke: smoking status during pregnancy
  • ptl: number of previous premature labours
  • ht: history of hypertension
  • ui: presence of uterine irritability
  • ftv: number of physician visits during the first trimester
  • bwt: birth weight in grams

Questions

  1. Inspect the dataset
  2. Does the mother’s age allow us to predict the birth weight ?
  3. Check the assumptions of the model you used in 2
  4. Can you better predict birth weight using other variables in the dataset, in addition to mother’s age ?
  5. Which set of variables in the dataset predict best birth weight ?

In order to help you starting, try to translate those question to a more statistical framework

Answer
  1. Inspect the dataset
  2. Apply a simple linear regression model to predict birth weight in grams using mother’s age
  3. Check the assumptions of the linear regression model
  4. Apply a multiple linear regression model to predict birth weight in grams using multiple predictors
  5. Perform model selection

If needed and you forgot about all these, here is a little quick refreshing on linear models

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