Bayesian calculation detail

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The "Bayesian Results" information dialog displays several parameters which are used to evaluate the accuracy, reliability, and expected performance of the Bayesian derived model.

 

1.The first number displayed, labeled "Loop", indicates the number of loops through the Bayesian routine that were required to minimize the residual sum of squares (SS). A lower number indicates a better fit.

 

2.The first data pair, labeled SS, displays the residual sum of squares. This is an indicator of how well the Bayesian derived model fits the data. A Final SS that is close to zero indicates a good fit.

 

3.The next data pair compares the Initial and Final distribution volumes. The Initial VD is derived from the population model (with it's variance). The Final VD is that derived from the Bayesian analysis. A small variance indicates a better fit. It is also important to compare the raw numbers, Initital VD and Final VD, a small difference indicates a good fit.

 

4.The third data pair compares the Initial and Final elimination rates. As with Initial VD, the Initial Kel is derived strictly from the population model. And once again, variance of the Final Kel, and the difference between Initial and Final are indicators of the degree of fit.

 

5.The final data pair is a comparison between the measured level and that which is predicted by the derived model (using the Final VD and Final Kel). An exact match of this pairing indicates a model which fits the data.

 

6.And finally, the program may display an 'outside of expected range' notice, indicating that the serum level data which is highlighted in red, differs substantially from the population model.

 

With this background information in mind, let's compare two example outputs, one a good fit, the other a poor fit.

 

Good fit:

 

Poor fit:

bayes_goodfit

 

bayes_badfit

 

1.Final SS: 0.01
2.Final VD variance: 1.4%
3.Initial VD vs Final VD: < 1% difference
4.Initial Kel vs Final Kel: 2.8% difference
5.Predicted level equals Measured level
6.No 'outside of expected range' notice

 

 

1.Final SS: 1.28
2.Final VD variance: 19.7%
3.Initial VD vs Final VD: 7.6% difference
4.Initial Kel vs Final Kel: 38% difference
5.Predicted level does not equal Measured level
6.Displays 'outside of expected range' notice

(serum level entry highlighted in red)

 

Unfortunately, outputs are rarely so black and white, usually there are mixed signals. If most of these signals are negative, then the Bayesian derived model may not perform well. There may have been a problem with the serum level measurement in the patient. Obvious sources of error should be ruled out, such as: administration errors, lab draw errors, timing errors, etc. If no potential sources of error are found, there is a possibility that the patient may be an outlier. Regardless, these numbers are indicating that you should keep a close eye on this patient.

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