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NETWORK>TRAJECTORIES

PURPOSE Caculates basic measures and betweeness centrality of a 2-mode career trajectories matrix.

DESCRIPTION A career trajectory matrix is a 2-mode matrix in which the rows are the actors and the columns are the positions or jobs. The i ,j th entry gives the time that actor i moved to position j. The time is ordinal data and gives the order that person i followed in their particular career trajectory. The matrix must include a column indicating retirement, this is usually the last column.  The routine examines the cumulative positions of the career data for all the positions and gives information on the roles and betweenness centrality of the various jobs.
 
PARAMETERS 
Input dataset:
Name of file containing career trajectory network to be analyzed. The i,j th entry is the time that actor i took on position j. Data type: valued matrix.
 
(Output) Measures (Default= <inputfilename>-traj)
Name of file contating trajectory measures.

Column indicating retirement (Default= last column)
Column that gives the retirement of each trajectory.

Select trajectories
Selecting completed only analyses trajectories with an entry in the retirement column whereas ongoing only considers those with a zero in the retiremnt column. The default is to include both.

 
LOG FILE A summary of the number of trajectories (= number of people) together with their average length, standard deviation and the maximum trajectory length. A table in which the positions or jobs are the rows and the columns are as follows:

fOriginator = No. of trajectories in which "job" is first node
  fTransmitter = No. of trajectories in which "job" is an interior node
  fTerminator = No. of trajectories in which "job" is last node
     fBlackHole = No. of trajectories in which "job" is first and last node
  fInvolvement = No. of trajectories in which "job" is involved
    pOriginator = Prop. of trajectories in which "job" is first node
   pTransmitter = Prop. of trajectories in which "job" is an interior node
    pTerminator = Prop. of trajectories in which "job" is last node
     pBlackHole = Prop. of trajectories in which "job" is first and last node
    lOriginator = Length of trajectories in which "job" is first node
  lTransmitter = Length of trajectories in which "job" is an interior node
    lTerminator = Length of trajectories in which "job" is last node
     lBlackHole = Length of trajectories in which "job" is first and last node
   lInvolvement = Length of trajectories in which "job" is involved
      Position = Avg. position of job in trajectories that involve it
    RelPosition = Avg. relative position of job in trajectories that involve it (if trajectory has n nodes, relative position is 100*(position-1)/(n-1)
    Betweenness = Total betweenness


TIMING O(N(K^2))  

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