inst/shiny-examples/D-Optimality/presentacion.md

In Kezrael/optedr: Calculating Optimal and D-Augmented Designs

Presentation

This shinny application presents a tool to calculate optimal designs for Antoine’s Equation given different initial estimations of the unknown parameters, θ(0), and design space, 𝒳.

This application uses the Cocktail Algorithm to calculate optimal designs for Antoine’s Equation. The details of the algorithm can be found in the original work accompaning this application.

The functioning of the different tabs of the app are as follows

• Presentation: description on how the app works.
• Optimal design: calculates D−, Ds, A− and I−optimal designs for Antoine’s Equation. The user decides the criterion and the associated parameters by either manually selecting them or choosing a substance from the sample list included. Then, after doing extra choices if necessary, the user calculates the optimal design by clicking Calculate Optimal Design.
• Custom design: The Custom Design menu lets the user create his own design, and compare the efficiency of their design with the optimum design calculated before.
• Efficiency of industry design: lets you calculate the efficiency of some commonly used designs for different processes:
  • Equidistant: Designs supported in both extremes of the space of the design, with n points that are equidistant between them and uniform weights.
  • Arithmetic: Designs supported in the one of the extremes (top) of the space of the design, with n points that follow an arithmetic progression and have uniform weights, and the leftmost point is choose in a way that optimizes the efficiency of the resulting design.
  • Geometric: Designs supported in the one of the extremes (top) of the space of the design, with n points that follow a geometric progression and have uniform weights, and the leftmost point is choose in a way that optimizes the efficiency of the resulting design.
• Contact: information for contacting the authors of the app.

NOTE: the inputs for the user to choose are on the left sidebar, while the main body of the app is used only to reflect the outputs.

NOTE: for some set of parameters the Information Matrix might be bad conditioned, which causes the inverse calculating function to fail, and hence an error is promped to the user.

Kezrael/optedr documentation built on Oct. 12, 2024, 8:40 p.m.