Dominance Matrices (VCE SSCE General Mathematics): Quizzes

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Dominance Matrices
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What is one-step dominance?

When one person directly beats another

In a round-robin tournament, how often does each participant play every other participant?

Exactly once

In the one-step dominance matrix DD, what do the rows represent?

The players doing the defeating

How is a player's dominance score calculated from the matrix?

Sum all entries in that player's row

What value is always on the diagonal of a dominance matrix?

0

How is the two-step dominance matrix calculated?

By squaring matrix DD to get D2D^2

What is the formula for total dominance matrix TT?

T=D+D2T = D + D^2

What does two-step dominance reveal about a player?

The quality of their victories

In the tennis tournament, who was the top-ranked player based on total dominance?

Birgit with score 9

Why is two-step dominance particularly useful?

For breaking ties in one-step scores

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