Asia (synthetic) data set by Lauritzen and Spiegelhalter
Small synthetic data set from Lauritzen and Spiegelhalter (1988) about lung diseases (tuberculosis, lung cancer or bronchitis) and visits to Asia.
data(asia)
The asia data set contains the following variables:
D (dyspnoea), a two-level factor with levels yes
and no.
T (tuberculosis), a two-level factor with levels
yes and no.
L (lung cancer), a two-level factor with levels
yes and no.
B (bronchitis), a two-level factor with levels
yes and no.
A (visit to Asia), a two-level factor with levels
yes and no.
S (smoking), a two-level factor with levels yes
and no.
X (chest X-ray), a two-level factor with levels
yes and no.
E (tuberculosis versus lung cancer/bronchitis), a
two-level factor with levels yes and no.
Lauritzen and Spiegelhalter (1988) motivate this example as follows:
“Shortness-of-breath (dyspnoea) may be due to tuberculosis, lung cancer or bronchitis, or none of them, or more than one of them. A recent visit to Asia increases the chances of tuberculosis, while smoking is known to be a risk factor for both lung cancer and bronchitis. The results of a single chest X-ray do not discriminate between lung cancer and tuberculosis, as neither does the presence or absence of dyspnoea.”
Standard learning algorithms are not able to recover the true structure of
the network because of the presence of a node (E) with conditional
probabilities equal to both 0 and 1. Monte Carlo tests seems to behave
better than their parametric counterparts.
The complete BN can be downloaded from https://www.bnlearn.com/bnrepository/.
Lauritzen S, Spiegelhalter D (1988). "Local Computation with Probabilities on Graphical Structures and their Application to Expert Systems (with discussion)". Journal of the Royal Statistical Society: Series B, 50(2):157–224.
# load the data.
data(asia)
# create and plot the network structure.
dag = model2network("[A][S][T|A][L|S][B|S][D|B:E][E|T:L][X|E]")
## Not run: graphviz.plot(dag)Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.