Question

In: Statistics and Probability

It is thought that children who attend daycare centers build a more robust immune system because...

It is thought that children who attend daycare centers build a more robust immune system because they are exposed to more germs. A study by Gilham et al (2005) examined whether there was a relationship between attending daycare and the probability of later developing the white blood cell disease Acute Lymphoblastic Leukemia (ALL). They compared 1272 children with ALL to 6238 children without ALL. Of the kids with All, 1020 went to daycare. Of the kids without ALL, 5343 went to day care. The rest of the children did not go to daycare or have regular contact with other children.

  1. Is this an experimental or observational study?
  2. What are the odds of kids who went to daycare developing ALL? What are the odds for the kids who did not go to daycare?
  3. What is the odds ratio for ALL, comparing kids who went to day care and those that did not?

Solutions

Expert Solution

Daycare Not daycare Total
ALL 1020 1272-1020 = 252 1272
Without ALL 5343 6238-5343 = 895 6238
Total 6363 1147 7510

Answer a)

It is an observational study as the researcher does not vary any parameter.

Answer b)

The odds of kids who went to daycare developing ALL = No. of Daycare Kids who developed ALL/No. of Daycare Kids who did not developed ALL

The odds of kids who went to daycare developing ALL = 1020/5343

The odds of kids who went to daycare developing ALL = 0.1909

The odds for the kids who did not go to daycare developing ALL = No. Kids who developed ALL and did not go to daycare/No. of kids who did not developed ALL and did not go to daycare

The odds for the kids who did not go to daycare = 252/895

The odds for the kids who did not go to daycare = 0.2816

Answer c)

The odds ratio for ALL, comparing kids who went to day care and those that did not = No. of Kids with ALL who went to daycare/No. of Kids with ALL who did not went to day care

The odds ratio for ALL, comparing kids who went to day care and those that did not = 1020/252

The odds ratio for ALL, comparing kids who went to day care and those that did not = 4.0476


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