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what test should I use to determine an association between obesity status (normal weight, overweight, obese)...

what test should I use to determine an association between obesity status (normal weight, overweight, obese) and cardiovascular disease (CVD vs. CVD free). We know the obesity status (category) and if the do or dont have CVD

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what test should I use to determine an association between obesity status (normal weight, overweight, obese) and cardiovascular disease (CVD vs. CVD free). We know the obesity status (category) and if the do or dont have CVD

Here we can use Chi square test of independence.

There are two groups which are obesity status and cardiovascular disease.

obesity status have three levels which are normal weight, overweight and obese

cardiovascular disease have two levels which are CVD and CVD free.

The test statistic follows with (R-1)(C-1) degrees of freedoms.

where R is number of rows

C is number of columns

The test statistic is,

where O is observed frequency and

E is expected frequency

The formula for expected frequnecy is,

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