Difference between revisions of "Ordinal-time"

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Ordinal-time: Consider a complete time sequence of an evolving social network that includes each time a new network link is formed and each time an individual adopts a new behavior. For each k, consider the set of all individuals who were ever [[k-exposed]] at any time, and define po(k) to be the fraction of this set that became adopters before acquiring a (k + 1)st neighbor who is an adopter.
 
Ordinal-time: Consider a complete time sequence of an evolving social network that includes each time a new network link is formed and each time an individual adopts a new behavior. For each k, consider the set of all individuals who were ever [[k-exposed]] at any time, and define po(k) to be the fraction of this set that became adopters before acquiring a (k + 1)st neighbor who is an adopter.
  
Figure 1 shows the shape of influence curves for the ordinal-time definitions:
+
Figure 1 shows the shape of influence curves for the ordinal-time definitions using the Wikipedia data:
  
 
[[File:ordinal-time.jpg]]
 
[[File:ordinal-time.jpg]]

Revision as of 12:10, 4 April 2011

Ordinal-time: Consider a complete time sequence of an evolving social network that includes each time a new network link is formed and each time an individual adopts a new behavior. For each k, consider the set of all individuals who were ever k-exposed at any time, and define po(k) to be the fraction of this set that became adopters before acquiring a (k + 1)st neighbor who is an adopter.

Figure 1 shows the shape of influence curves for the ordinal-time definitions using the Wikipedia data:

Ordinal-time.jpg