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Het volume van chirurgische ingrepen en de impact ervan op ... - KCE

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<strong>KCE</strong> Reports 113 Volume Outcome 35<br />

3.7.3 Use of instrum<strong>en</strong>tal variables<br />

Some authors have used the instrum<strong>en</strong>tal variables in a differ<strong>en</strong>t context than<br />

simultaneous equations mo<strong>de</strong>lling. In<strong>de</strong>ed, their interest lied in estimating consist<strong>en</strong>tly<br />

the effect of <strong>volume</strong> on outcome in equation (I), taking into account the <strong>en</strong>dog<strong>en</strong>ous<br />

character of that variable. An additional variable is nee<strong>de</strong>d, called instrum<strong>en</strong>tal variable,<br />

assumed to be uncorrelated with the errors of the mo<strong>de</strong>l but correlated with<br />

<strong>en</strong>dog<strong>en</strong>ous variable. The real problem is that it is sometimes far from obvious which<br />

variables could act as appr<strong>op</strong>riate instrum<strong>en</strong>ts, and the quality of the method <strong>de</strong>p<strong>en</strong>ds<br />

crucially of the quality of the instrum<strong>en</strong>ts. The use of an instrum<strong>en</strong>tal variable, a<br />

standard method in economics, is rather new in the medical literature. It has be<strong>en</strong> used<br />

for instance to assess the effect of differ<strong>en</strong>t treatm<strong>en</strong>ts for acute myocardial<br />

infarction, 100 in the context of evaluating the mortality as a measure of quality of hospital<br />

care in pneumonia diagnoses, 101 or else to assess the <strong>impact</strong> of health care acquired<br />

infections on l<strong>en</strong>gth of stay. 102<br />

In the context of the <strong>volume</strong> outcome relationship, differ<strong>en</strong>t instrum<strong>en</strong>ts have be<strong>en</strong><br />

used. The number of hospital beds 99 103 104 and the distance betwe<strong>en</strong> the pati<strong>en</strong>t home<br />

and the hospital 84 105 106 . Differ<strong>en</strong>t procedures and conditions have be<strong>en</strong> studied:<br />

congestive heart failure 84 , heart attack 105 , Whipple procedure, CABG and abdominal<br />

aortic aneurysm repair 106 . Instrum<strong>en</strong>tal variables are still an area of research in statistics.

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