Choose the test!
What test do you think we should use to test the following hypotheses?
What if any reservations do you have about that test?
There are both statistical, and non-statistical, issues to consider.
These do not need to be handed in. They are for discussion and careful thought.
- The height of men and women differ
- The average age of diabetic patients is greater than that of non-diabetic patients
- Older age predisposes to diabetes
- People in coastal states have higher income than those in non-coastal areas
- Income increases with age
- Income differs by job
- *Income differs by job, after accounting for age
- **Income increase with age differs by job
- Dementia rates increase with age
- Dementia rates differ by age group
- Dementia rates increase with increasing age groups
- Cognition declines with age
- Cognition differs by age group
- Cognition decreases in increasing age groups
- Advil is better at relieving headaches than Aleve
- Advil has shorter time to complete resolution of headache symptoms than Aleve
- In a sample of individuals, each of whom was given Aleve for their first headache, and Advil for their second, Advil is better at relieving headaches than Aleve
- In a sample of individuals, each of whom was given Aleve for their first headache, and Advil for their second, Advil has shorter time to complete resolution of headache symptoms than Aleve
- Weight loss is greater in those who eat chocolate!
- Weight loss at 6 months is greater in those who eat chocolate along with their reduced carb diet, than in those on the reduced carb diet alone
- **We track individuals on the diet, and the diet with chocolate supplementation over time, checking weight every week. The downward trend is greater in the chocolate group
- Length of stay in the ICU is greater for MI patients who also have COPD, than for those who don’t
- Length of stay in the ICU increases with every additional comorbidity
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- A1c level is associated with occurrence of complications after surgery
- A1c level is associated with occurrence of complications after surgery, in diabetic patients
- *A1c level is associated with occurrence of complications after surgery, independent of diabetes
- Those with higher A1c are more likely to have complications
- Those with complications have higher A1c
