Adding and Editing Design Points :: Designs (Model-Based Calibration Toolbox™)

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Contents

Index

• Getting Started

• User's Guide

• Using the Model Browser

• Workflows For Modeling

• Projects and Test Plans

• The Design Editor

Creating a Classical Design

• Creating a Space-Filling Design

• Creating an Optimal Design

• Adding and Editing Design Points

Adding Design Points

Editing Design Points

Merging Designs

Fixing, Deleting, and Sorting Design Points

Exporting and Importing Designs

• Applying Constraints

How to Apply Constraints

Constraint Types

Importing Constraints

• Prediction Error Variance Viewer

Introducing the Prediction Error Variance Viewer

Display Options

Prediction Error Variance

Prediction Error Variance for Two-Stage Models

• Design Evaluation Tool

Introducing the Design Evaluation Tool

Regression Matrix

Coefficient Information

Raw Residual Statistic

Degrees of Freedom Table

Design Evaluation Graphical Displays

Export of Design Evaluation Information

• Data

• Setting Up Models

Introducing Local Model Setup

Local Model Class: Polynomials and Polynomial Splines

Local Model Class: Truncated Power Series

Local Model Class: Free Knot Spline

Local Model Class: Growth Models

Local Model Class: Linear Models

Local Model Class: Average Fit

Local Model Class: Multiple Models

Local Model Class: User-Defined Models

Local Model Class: Transient Models

Covariance Modeling

Correlation Models

Introducing Boundary Models

Creating Boundary Models

Combining Best Boundary Models

Boundary Model Toolbar

Boundary Model Menus

Boundary Model Fit Options

Introducing Global Model Setup

Global Linear Models: Polynomials and Hybrid Splines

Global Model Class: Radial Basis Function

Global Model Class: Hybrid RBF

Global Model Class: Interpolating RBF

Global Model Class: Multiple Linear Models

Global Model Class: Free Knot Spline

Global Model Class: Neural Network

Global Model Class: User-Defined and Transient Models

Adding New Response Models

Introducing the Build Models Dialog Box

User-Defined Template

Polynomial Template

Hybrid RBF Template

Free Knot Spline Template

Model Browser Template

• Selecting Models

What Is Local Level?

Using Local Model Plots

Viewing Local Model Statistics

Using the RMSE Explorer with Local Models

Removing Outliers and Updating Fits

Local Level Tools

Calculating Two-Stage Models and Response Features

What Is Global Level?

Global Special Plots

Global Scatter Plots

Removed Data Pane

Global Level: Toolbar

Global Level: Model-Specific Tools

Global Level: Menus

Model Selection Guide

Summary Statistics

Using Information Criteria to Compare Models

Model Selection Window

Calculating MLE

About the Model Evaluation Window

Using Validation Data

What Is Stepwise?

Using the Stepwise Regression Window

Automatic Stepwise

Stepwise in the Model Building Process

PRESS statistic

Overview of the Mathematics of Two-Stage Models

Local Covariance Modeling

Response Features

Two-Stage Models

Global Model Selection

Initial Values for Covariances

Quasi-Newton Algorithm

Expectation Maximization Algorithm

Linear Regression

Toolbox Terms and Statistics Definitions

How to Export Models

What Is Exported?

Evaluating Models in the Workspace

• Radial Basis Functions

How to Choose a Kernel

Thin-Plate Spline

Logistic Basis Function

Wendland's Compactly Supported Function

Reciprocal Multiquadrics

How to Select CAGE Views

CAGE Views and Processes

Introducing the Variable Dictionary View

Importing and Exporting a Variable Dictionary

Adding and Editing Variable Items

Using the Variable Menu

Introducing the Models View

Importing Models

Adding New Function Models

Renaming and Editing Models

What Are Composite Models?

Importing from the Model Browser

Combining Existing CAGE Models

Viewing Composite Model Properties

How To Open The Model Properties Dialog Box

Model Properties: General

Model Properties: Inputs

Model Properties: Model

Model Properties: Information

Duplicating Tables

Deleting Tables

Introducing the Table View

Viewing and Editing a Table

Using the Graph of the Table

Filling a Table From a Model

Filling a Table by Extrapolation

Arithmetic Operations On Table Values

Introducing the History Display

Resetting to Previous Versions

Comparing Versions

Introducing the Calibration Manager

Setting Up Tables from a Calibration File

Setting Up Tables Manually

Copying Table Data from Other Sources

Opening the Table Properties Dialog Box

Table Properties: General Tab

Table Properties: Table Values Precision Tab

Table Properties: Inputs Tab

Introducing the Normalizer View

Editing Breakpoints

Input/Output Display

Normalizer Display

Breakpoint Spacing Display

Overview of Inverting Tables

Inverting One-Dimensional Tables

Inverting Two-Dimensional Tables

Importing Calibrations

Exporting Calibrations

Procedure Overview

Adding a Feature

Assigning a Model

Setting Up Your Strategy

Overview of Calibrating Normalizers

Initializing Breakpoints

Filling Breakpoints

Optimizing Breakpoints

Viewing the Normalizer Comparison Pane

Overview of Calibrating Feature Tables

Initializing Table Values

Filling Table Values

Comparing the Strategy and the Model

Filling the Table by Extrapolation

How to Calibrate the Feature

Initializing the Feature

Overview of Setting Up a Tradeoff

Adding a Tradeoff

Adding Tables to a Tradeoff

Displaying Models in Tradeoff

Procedure For Calibrating Tradeoff Tables

Setting Values of Other Variables

Determining a Value at a Specific Operating Point

Tradeoff Table Menus

What Are Regions?

Defining a Region

Clearing a Region

What Is A Point-by-Point Model Tradeoff?

Adding a Point-by-Point Model Tradeoff

Calibrating Using a Point-by-Point Model Tradeoff

Using Automated Tradeoff

What Are Appropriate Optimizations?

Overview of Optimization in CAGE

Parallel Computing in Optimization

Optimization Problems You Can Solve with CAGE

Setting Up Optimizations

Creating Optimizations from Models

Tools for Common Optimization Tasks

Optimization Wizard

Overview of Setting Up Sum Optimizations

Example Problem to Demonstrate Controls for Sum Optimizations

Using Variable Values Length Controls

Algorithm Restrictions

Using Application Point Sets

Overview of Setting Up Multiobjective Optimizations

About the NBI (Normal Boundary Intersection) Algorithm

What Is Modal Optimization?

Workflow for Modal Optimization

Creating Modal Optimizations

Adding Extra Objectives to Modal Optimizations

What Is MultiStart Optimization?

Creating a MultiStart Optimization

What Are Variable Values?

Define Variables Manually

Import from a Data Set

Import from Output

Import from Table Grid

Import from Table Values

Overview of Objectives and Constraints

Edit Constraint

Overview of the Optimization Parameters Dialog Box

foptcon Optimization Parameters

NBI Optimization Parameters

GA Optimization Parameters

Pattern Search Optimization Parameters

Modal Optimization Parameters

MultiStart Optimization Parameters

Scale Optimization

Choosing Acceptable Solutions

Create Sum Optimization from Point Optimization Output

Exporting to a Data Set

Filling Tables from Optimization Results

Custom Fill Function Structure

Navigating the Optimization Output View

Solution Slice: Optimization Results Table

Solution Slice: Results Surface and Results Contour Views

Objective Slice Graphs

Objective Contour Plot

Constraint Slice Graphs

Constraint Summary Table

Process for Analyzing Optimization Results

Detecting Local Optima

Investigating Early Termination of Optimization

Handling Flat Optima

Analyzing Modal, MultiStart, and Multiobjective Optimizations

Pareto Slice Table View

Selected Solution Slice

Exporting Selected Solutions

Viewing and Selecting Modal Optimization Results

Creating Sum Optimizations from Modal Optimizations

Filling Tables for Operating Modes

Viewing and Selecting MultiStart Results

Creating Sum Optimizations from MultiStart Optimizations

Pareto Front Graphs

Weighted Objective Pareto Slice

Multiobjective NBI Output Messages

Operating Point Indices

Optimization Results Table

Objective Graphs

Objective Contour Plot

Constraint Graphs

Constraint Summary

Table Gradient Constraint Output

Introducing User-Defined Optimization

Implementing Your Optimization Algorithm in CAGE

About the Worked Example Optimization Algorithm

Checking User-Defined Optimizations into CAGE

Methods of cgoptimoptions

Methods of cgoptimstore

How to Set Up Data Sets

Importing Experimental Data from File

Importing Data from the Model Browser

Importing Data from a Table in Your Session

Merging Data Sets

Specifying the Factors Manually

Creating a Factor from the Error Between Factors

How to Fill Tables from Experimental Data

Exporting Data to the Model Browser

Exporting Data to File

Displaying Point-by-Point Models in the Surface Viewer

Using Display Options

Introducing Error Displays

Feature Error Data

Prediction Error Data

• Release Notes

Adding and Editing Design Points

On this page…

Adding Design Points

Editing Design Points

Adding Design Points

In any design, you can add points using the Edit menu. You can specify how many points to add and how to do so: optimally, randomly, or at specified values.

Note To add points with space-filling properties, see Augmenting Space-Filling Designs.

To add optimal, custom, or random points:

Select Edit > Add Point or click the button. A dialog box appears, as shown following.

Choose an augmentation method from the drop-down menu: optimal (D,V, or A), random, or user-specified.

Note You can add points optimally to any design based on a linear or multilinear model, as long as it has the minimum number of points required to fit that model. This means that after adding a constraint you might remove so many points that a subsequent replace operation does not allow optimal addition.

Choose the number of points to add, using the buttons or typing into the edit box. For user-specified custom points, you also enter the values of each factor for each point you want to add.
If you choose an optimal augmentation method and click Edit, the Candidate Set dialog box appears, as shown in the following example. Here you can edit the ranges and levels of each factor and which generation algorithm to use. These are the same controls you see on the Candidate Set tab of the Optimal Design dialog box.
Click OK to add the points and return to the main display.

Editing Design Points

To edit particular points,

Right-click the title bar of one of the Design Editor views and select Current View > Design Table to change to the Table view. This gives a numbered list of every point in the design, so you can see where points are in the design.
To edit points, click to select table cells and type new values. You can also right-click table cells and select Copy or Paste. You can click and drag to select multiple cells to copy or paste.

Creating an Optimal Design

Creating an Optimal Design

Merging Designs

Merging Designs

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