Question 5: Which two of these predictor variables would you expect to be related to one another, whatever the disease in question?
I would expect age and number of previous admissions to be related. The older the subject is, the more opportunity there will have been for previous admissions.
In fact, they appear to be related, as the scatter diagram shows:
. scatter admiss age
There should be 1034 points on this graph and clearly some are superimposed. We can add a bit of random noise with the jitter, to shake them up a bit:
. scatter admiss age, jitter(5)
This graph is just to guide me in my analysis. I would not use it for publication, so I have not improved it.
There certainly appears to be a relationship, but the data do not look suitable for regression or correlation. Because the number of previous admissions is highly skew, I chose Kendall's rank correlation coefficient, tau b:
. ktau age admiss Number of obs = 1029 Kendall's tau-a = 0.1680 Kendall's tau-b = 0.2032 Kendall's score = 88860 SE of score = 10496.947 (corrected for ties) Test of Ho: age and admiss are independent Prob > |z| = 0.0000 (continuity corrected)
Hence tau b = 0.20, P<0.001. We have strong evidence that older children tend to have more previous admissions.
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