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A study of Patent Thickets (1.31Mb) - UK Intellectual Property Office

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A Study <strong>of</strong> <strong>Patent</strong> <strong>Thickets</strong> 73<br />

Table 7.1 above presents the Z-scores for this measure. 38 While there is a broad range in these<br />

values they are always so high that we can be sure that triples arise far more frequently in all <strong>of</strong><br />

these data sets than we would expect if the triples just arose randomly.<br />

Following Milo et al. (2004b) we summarize our findings using significance pr<strong>of</strong>iles for each <strong>of</strong><br />

these areas. A significance pr<strong>of</strong>ile is the vector <strong>of</strong> Z scores normalized to length 1. This<br />

normalization allows us to view the relative importance <strong>of</strong> the Z-scores for different motifs<br />

abstracting from their absolute values which are affected by the number <strong>of</strong> observations in the<br />

six different data-sets we analyze.<br />

Figure 15 below presents the six triad significance pr<strong>of</strong>iles based on the Z-scores we extracted<br />

from our data using FANMOD for each <strong>of</strong> the three technology areas in each <strong>of</strong> . The figure<br />

contains 9 <strong>of</strong> the 13 network motifs presented by Milo et al. (2004b). The remainder did not<br />

arise in our data or were not significant. A comparison with the significance pr<strong>of</strong>iles presented<br />

in Figure 1 <strong>of</strong> their paper for the World Wide Web and social networks reveals that the shape <strong>of</strong><br />

our significance pr<strong>of</strong>iles for the network motifs 7-13 is quite similar. There are clear peaks for the<br />

motifs 9, 10 and 13 and similarly minima and 8 and 11. It is noticeable that in Telecommunications<br />

and Optics where patent thickets are present there is a significant minimum for the network<br />

motif 12 while this is not the case for the networks analyzed by Milo et al. (2004b). Network<br />

motif 12 is one in which one firm has mutually limiting patents with both other firms, whilst only<br />

one <strong>of</strong> these two is limiting the other. The fact that this motif is not present with significant<br />

frequency might be evidence for strategic patenting by firms caught in patent thickets. More<br />

<strong>study</strong> on this point is required before we may be sure however.<br />

Triad Significance Pr<strong>of</strong>iles for Selected Technology Areas and Years<br />

38 A measure <strong>of</strong> statistical significance indicating how many standard deviations the real triples count is higher than<br />

that <strong>of</strong> the mean <strong>of</strong> the simulated random samples.

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