8.3 Testing Category Probabilities: Multinomial Experiment

Recall from Section 1.4 (p. 10) that observations on a qualitative variable can only be categorized. For example, consider the highest level of education attained by a professional hockey player. Level of education is a qualitative variable with several categories, including some high school, high school diploma, some college, college undergraduate degree, and graduate degree. If we were to record education level for all professional hockey players, the result of the categorization would be a count of the numbers of players falling into the respective categories.

When the qualitative variable of interest results in one of two responses (e.g., yes or no, success or failure, favor or do ...

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