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New Statistical Algorithms for the Analysis of Mass - FU Berlin, FB MI ...

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2.2. AN EXAMPLE 21<br />

successes. We call <strong>the</strong> percentage <strong>of</strong> successes <strong>the</strong> quality (e.g. 30 correct<br />

labels out <strong>of</strong> 50 pictures yields a quality <strong>of</strong> 60%).<br />

Step 5: Compile a fingerprint<br />

Out <strong>of</strong> <strong>the</strong> list <strong>of</strong> features from <strong>the</strong> previous step take all features having a<br />

quality value above 95%. We call this resulting list <strong>of</strong> features a fingerprint. To<br />

determine <strong>the</strong> type <strong>of</strong> a pile using such a fingerprint, we per<strong>for</strong>m <strong>the</strong> decision<br />

as described in step 4 <strong>for</strong> each feature <strong>of</strong> this fingerprint one after ano<strong>the</strong>r.<br />

Each decision is treated as a vote <strong>for</strong> opera-A type or opera-B type. The type<br />

with <strong>the</strong> most votes wins and is taken as <strong>the</strong> final result.<br />

Remarks<br />

Of course this example and <strong>the</strong> recipe are quite simple and sketchy. We omitted<br />

many details, background in<strong>for</strong>mation and occurring problems - <strong>for</strong> example,<br />

how do we handle pictures with missing areas ? And, admittedly, it is not<br />

very common that one needs to tell apart two piles <strong>of</strong> Lego bricks on <strong>the</strong> basis<br />

<strong>of</strong> fuzzy pictures.<br />

However, in <strong>the</strong> next chapters we will see how similar <strong>the</strong>se problems,<br />

questions and eventually concepts and solutions are in <strong>the</strong> actual field <strong>of</strong> this<br />

<strong>the</strong>sis: <strong>the</strong> analysis <strong>of</strong> groups <strong>of</strong> mass spectra images resulting from human<br />

blood samples. We will show how to use, extend and improve <strong>the</strong>se concepts.<br />

2.2.1 Term Comparison<br />

This table shows a comparison <strong>of</strong> terms used in <strong>the</strong> Lego example and <strong>the</strong><br />

according terms used in later chapters.<br />

Term in Lego example Term used later<br />

Pile picture <strong>Mass</strong> spectrum<br />

Storage building Hard disk drive<br />

Lego brick producing machine <strong>Mass</strong> spectrometer<br />

Camera Time-<strong>of</strong>-flight measurement<br />

Opera type (A and B) Patient group (e.g. healthy or diseased )<br />

Brick Peak<br />

Brick position Peak center<br />

Brick color Peak area and shape<br />

Brick border Peak shape<br />

Feature Feature<br />

Fingerprint Fingerprint

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