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Partial expectations

  The effect of the partial adjustment by tex2html_wrap_inline8550 on the evaluation of the adjusted expectation is to revise expectations downwards for tex2html_wrap_inline8580 , from about 4.85 to 4.71, and upwards for tex2html_wrap_inline8582 from about 6.58 to 6.91. (These are now, of course, the adjusted expectations for the full adjustment by tex2html_wrap_inline8806 .) The differences are, in our notation,

eqnarray1109

Standardising the changes, we have

displaymath9370

representing, for each quantity, a change in expectation of 1.96 standard deviations relative to the partial variance resolved. That is, for such a small change in variance we saw a fairly large change in expectation by using the observed two-hour measurement as well as the observed fasting measurement.



David Wooff
Thu Oct 15 12:20:04 BST 1998