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Exercise: Diabetes and high blood pressure in the 2005 M.Sc. questionnaire, 2

Question 2: Which cell of the table would have the smallest expected frequency and,
roughly, what would this be?

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Suggested answer

The expected frequency is found by multiplying the row and column totals
and dividing by the grand total.
The smallest expected frequency will be where row total times column total is smallest.
This must be for diabetes = 'yes' and high blood pressure = 'yes',
as these are the smallest totals.

This expected frequency would be 10 × 23/202.
This is just over one.
In fact 10 × 23/202 = 1.14 to two decimal places.

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Last updated: 7 November, 2006.

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