next up previous
Next: The model Up: Bayes linear influence diagrams Previous: Bayes linear influence diagrams

Example problem

The following problem is considered in [1, Chapter 8,]. A certain chemical process leads to a product tex2html_wrap_inline1905 and a by-product tex2html_wrap_inline1907 . The yields of both products are thought to be related to the temperature of the process, tex2html_wrap_inline1909 . Twelve experiments are performed with different temperature settings (degrees fahrenheit) to study the effect of temperature. The data are shown in table 1, and plotted in Figure 1. In performing the analysis, we transform the temperature measurements to tex2html_wrap_inline1911 , where 177.86 is the mean temperature setting.

 

Temperature Main product By product
tex2html_wrap_inline1916 Y Z
161.30 63.70 20.30
164.00 59.50 24.20
165.70 67.90 18.00
170.10 68.80 20.50
173.90 66.10 20.10
176.20 70.40 17.50
177.60 70.00 18.20
181.70 73.70 15.40
185.60 74.10 17.80
189.00 79.60 13.30
193.50 77.10 16.70
195.70 82.80 14.80
Table 1:  Yield of two products for a chemical process

  figure419
Figure 1:  Yield of two products for a chemical process


next up previous
Next: The model Up: Bayes linear influence diagrams Previous: Bayes linear influence diagrams

David Wooff
Thu Oct 15 11:27:04 BST 1998