Basis
Functions

The Basics of Basis Functions

The Characteristics of Spline Functions

The Characteristics of Spline Functions II

Goods

Dissecting the U.S. Nondurable Goods Index

Smoothing the Nondurable Goods Index

Phase-Plane Plotting of the Goods Index

Growth

The Features of Human Growth Data

-Introduction
-Figure 1
-Figure 2
-Conclusion

From Raw Data to Functional Data

Smoothing the Growth Data

Monotone Smoothing of the Growth Data

Weather

Weather Introduction

Summarizing the Functional Data

Weather Data Analysis

The Features of Human Growth Data
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Expertise: Beginner

Figure 2 zooms in on growth by using measurements of a boy's height at 83 days over one school year, with gaps corresponding to the school vacations. The measurement noise in the data, of standard deviation about 3 mm, is apparent. The trend is also noticeably more bumpy, with height increasing more rapidly over some weeks than others.

Figure 2: The circles are 83 measurements of height of a 10-year-old boy
The solid curve is a smooth monotone fit to the data, as described
in the example Monotone Smoothing of the Growth Data.

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