This course helps you recognize and model functional data. It teaches you to use the data as a response, such as the outcome for a designed experiment, or as new covariates or features, such as in a multivariate analysis.

Functional data are defined as a function, profile, or curve. They are a series of observations over time or any other continuous variable. These data can be modeled so that changes in the shape can be associated with changes in other variables.

Learn how to

• Recognize functional data and their uses.
• Preprocess data to suit the functional data analysis.
• Select a model of the functions.
• Obtain optimal representations of the functions.
• Use the new representations as the responses in the analysis of a designed experiment.

Who should attend

Directors, managers, engineers, scientists, technicians, and analysts who work with functional data to design, develop, improve, and optimize a product or process

Formats available	Standard Duration
Classroom:	2 days
Live Web Classroom:	4 half-day session(s)	System Requirements

Before attending this course, you should complete the JMP® Software: A Case Study Approach to Data Exploration and JMP® Software: Statistical Decisions Using ANOVA and Regression courses or have equivalent experience.

This course addresses JMP software.

JMP Pro 15

Explore Functional Data

• Define functional data and their forms.

Preprocess Functional Data

• Identify different formats of functional data.
• Clean up functional data (recoding tasks).
• Transform functional data output (centering and scaling, other common transformations).
• Align functional data input.

Fit Models of Functional Data

• Describe a basis function expansion as a model for a continuous function.
• Optimize trade-off between model bias and variance with smoothing.
• Select splines or Fourier basis for the model.
• Fit the model.
• Select the best model.
• Diagnose the model.

Extract Functional Principal Components

• Describe the principal components analysis of continuous functions.
• Derive and use functional principal component scores.

Functional Analysis of Experiments

• Identify the goals of the analysis of an experiment.
• Estimate factor effects on the functional principal components.

Capstone Case Studies

• Select one of several new cases chosen from different industries to practice a complete functional data analysis.