# Dean Billheimer

## Contact Info

- Name: Dean Billheimer
- Email:
- Phone:
- Comment: "The essential distinction in the problem of inference is the distinction between what we know, and what we are trying to find out: between the data and the proposition whose probability on the data we are trying to assess." Harold Jeffreys.

## Projects

### Proteometrics

Proteometrics is the quantitative analysis of the proteome. The goal is to characterize the amount and distribution of proteins and their modifications in biological samples. Follow the

ProteoMetrics link for more information.

### Functional Data Analysis

In their simplest form,

*functional data* extend the notion of a
sequence of independent numerical observations to a sequence of
independent functional observations. That is, for each of a number of
independent units, we observe a single function. Such functions are
(frequently, but not always) continuous, and often sampled at discrete
points. The goals of functional data analysis (FDA) are to extend the
usual aims of statistics to this new setting while retaining the
functional identity of the data. Follow the

FunctionalData link for more information.

### Normalization (with B. LaFleur)

Many emerging measurement technologies require substantial data "pre-processing" before meaningful quantitative analysis can be conducted. Frequently this data manipulation involves

- smoothing or filtering
- background correction or subtraction
- multiplicative re-scaling. and/or
- nonlinear transformation (e.g.,
*log* transformation)

When the intent of this pre-processing is to remove nuisance variation, and (somehow) make observations
more comparable, we term this activity

**normalization**. Although the need for normalization has long been recognized, the details are frequently swept under the pre-processing carpet. This is worry-some because in many cases

**these initial data manipulations are the most important steps in data analysis**. It
is amazing to us that there is no standard theory (or even guidelines) outlining the properties of various choices for these transformations. Follow the

NormalizationLink for more information.

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