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For a Multinomial Experiment with K Categories, the Goodness-Of-Fit Test

question 58

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For a multinomial experiment with k categories, the goodness-of-fit test statistic is assumed to follow a chi-square distribution with k degrees of freedom.


Definitions:

Standard Form

A recognized or conventional pattern of word order or arrangement used in formatting mathematical, logical, or philosophical expressions.

Traditional Square of Opposition

The traditional square of opposition is a diagram representing the relations between four types of categorical propositions, showcasing how they interact logically through contradiction, contrariety, and other relations.

Relationships

The way in which two or more concepts, objects, or people are connected, or the state of being connected.

Singular Proposition

A statement that refers to a specific instance or member within a category rather than the category as a whole.

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