Multinomial Trial
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A multinomial trial is a discrete simple random experiment with [math]\displaystyle{ k\gt 2 }[/math] outcomes (an n-ary sample space).
- AKA: k-Nomial RE.
- Context:
- It can be a associated with a Multinomial Mass Function/Probability Distribution Table), which can range from being a Uniform Probability Mass Function to being a Skewed Probability Function.
- It can be the result of a Multinomial Process, of [math]\displaystyle{ n }[/math] trials.
- Example(s):
- “In a recent three-way election for a large country, candidate A received 20% of the votes, candidate B received 30% of the votes, and candidate C received 50% of the votes.”
- a Dice Roll Experiment.
- a k-Sided Coin Toss Experiment.
- …
- Counter-Example(s)::
- a Binomial Trial, if k=2.
- See: Multinomial Process, Multivariate Analysis.