LogosLink User's Manual · LogosLink version 2.0.0

Centrality Analytics (Argumentation Model)

Centrality analytics shows what propositions in an argumentation model are more connected to others, that is, are more central.

This is useful to estimate the relative importance or relevance of different propositions in the argumentation model.

Parameters

Speaker. If you select a speaker, only the propositions of this speaker will be taken into account.
Agent. If the argumentation model has an embedded context and you select an agent, only the propositions of speakers linked to this agent will be taken into account.

Results

Results are given as a set of lists and tree tables, one for the propositions themselves, and one for each kind of applicable element in the embedded context, if any.

Propositions

The list shows the propositions in the argumentation model, plus some details for each one.

For each proposition, the following data are shown:

Key, Content and Speaker. These show the main details of the proposition.
In Inferences. This is the number of incoming inferences of the proposition.
Relative. This is the incoming inference centrality of the proposition, relative to the theoretical maximum. See the Details section for more information.
Out Inferences. This is the number of outgoing inferences of the proposition.
Relative. This is the outgoing inference centrality of the proposition, relative to the theoretical maximum. See the Details section for more information.
In Conflicts. This is the number of incoming conflicts of the proposition.
Relative. This is the incoming conflict centrality of the proposition, relative to the theoretical maximum. See the Details section for more information.
Out Conflicts. This is the number of outgoing conflicts of the proposition.
Relative. This is the outgoing conflict centrality of the proposition, relative to the theoretical maximum. See the Details section for more information.
In Rephrases. This is the number of incoming rephrases of the proposition.
Relative. This is the incoming rephrase centrality of the proposition, relative to the theoretical maximum. See the Details section for more information.
Out Rephrases. This is the number of outgoing rephrases of the proposition.
Relative. This is the outgoing rephrase centrality of the proposition, relative to the theoretical maximum. See the Details section for more information.
All Inferences. This is the number of incoming and outgoing inferences of the proposition.
Relative. This is the all inference centrality of the proposition, relative to the theoretical maximum. See the Details section for more information.
All Conflicts. This is the number of incoming and outgoing conflicts of the proposition.
Relative. This is the all conflict centrality of the proposition, relative to the theoretical maximum. See the Details section for more information.
All Rephrases. This is the number of incoming and outgoing rephrases of the proposition.
Relative. This is the all rephrase centrality of the proposition, relative to the theoretical maximum. See the Details section for more information.
In All. This is the number of incoming argumentation relations (inferences, conflicts and rephrases) of the proposition.
Relative. This is the incoming argumentation relation centrality of the proposition, relative to the theoretical maximum. See the Details section for more information.
Out All. This is the number of outgoing argumentation relations (inferences, conflicts and rephrases) of the proposition.
Relative. This is the outgoing argumentation relation centrality of the proposition, relative to the theoretical maximum. See the Details section for more information.
Overall. This is the number of incoming and outgoing argumentation relations (inferences, conflicts and rephrases) of the proposition.
Relative. This is the overall centrality of the proposition, relative to the theoretical maximum. See the Details section for more information.

Linked Themes

The tree table shows the themes in the embedded context, plus some details for each one.

For each theme, the following data are shown:

Centrality. This is the average overall centrality of the propositions linked to the theme.

Linked Positions

The tree table shows the positions in the embedded context, organised by theme, plus some details for each one.

For each position, the following data are shown:

Centrality. This is the average overall centrality of the propositions linked to the position with a support degree.

Details

Relative centralities are calculated by dividing the relevant absolute number by a theoretical maximum. For example, the relative incoming inference centrality is calculated by dividing the number of incoming inferences of the proposition between the theoretical canonical maximum number of incoming inferences that a proposition may have in the argumentation model.

The theoretical canonical maximum is determined as the number of propositions in the argumentation model minus 1.

In this manner, a relative centrality of 0% indicates that the proposition is not connected at all (i.e. is not central at all). A relative centrality of 100% indicates that the proposition is fully connected to all other propositions (i.e. is at the centre of the argumentation model).