Transcription Factor expression level
Transcription factors are an important cellular regulatory mechanism to control gene expression. The expression of TF is important for cell function, differentiation and also for responses to environmental signals. 

We know quite a number of different TF, but only for a little part of them their exact function (in terms of which in which tissues they are expressed, when and which genes they regulate) and this is where the paper you read comes in.

They test for the expression of roughly 1400 TF in a number of different tissues, to see where they are expressed (figure 3 from the paper):



The group used micro-arrays to analyze the expression levels (in this case how much transcript from the genes is made assuming that this also translated). The quantification was done using the signal strength of the array - the more transcript you have, the stronger the signal is.

The expression of a certain TF in a specific tissues shows its involvement in gene regulation (either direct or indirect) there.