parmest includes the following functions to help visualize results:
- :class:`~pyomo.contrib.parmest.graphics.grouped_boxplot`
- :class:`~pyomo.contrib.parmest.graphics.grouped_violinplot`
- :class:`~pyomo.contrib.parmest.graphics.pairwise_plot`
Grouped boxplots and violinplots are used to compare datasets, generally before and after data reconciliation. Pairwise plots are used to visualize results from parameter estimation and include a histogram of each parameter along the diagonal and a scatter plot for each pair of parameters in the upper and lower sections. The pairwise plot can also include the following optional information:
- A single value for each theta (generally theta* from parameter estimation).
- Confidence intervals for rectangular, multivariate normal, and/or Gaussian kernel density estimate distributions at a specified level (i.e. 0.8). For plots with more than 2 parameters, theta* is used to extract a slice of the confidence region for each pairwise plot.
- Filled contour lines for objective values at a specified level (i.e. 0.8). For plots with more than 2 parameters, theta* is used to extract a slice of the contour lines for each pairwise plot.
The following examples were generated using the reactor design example. :numref:`fig-boxplot` uses output from data reconciliation, :numref:`fig-pairwise1` uses output from the bootstrap analysis, and :numref:`fig-pairwise2` uses output from the likelihood ratio test.
Grouped boxplot showing data before and after data reconciliation.
Pairwise bootstrap plot with rectangular, multivariate normal and kernel density estimation confidence region.
Pairwise likelihood ratio plot with contours of the objective and points that lie within an alpha confidence region.