{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

notes515fall10chap13

# notes515fall10chap13 - STAT 515 Chapter 13 Categorical Data...

This preview shows pages 1–3. Sign up to view the full content.

STAT 515 -- Chapter 13: Categorical Data Recall we have studied binomial data, in which each trial falls into one of 2 categories (success/failure). Many studies allow for more than 2 categories. Example 1: Voters are asked which of 6 candidates they prefer. Example 2: Residents are surveyed about which part of Columbia they live in. (Downtown, NW, NE, SW, SE) Multinomial Experiment (Extension of a binomial experiment → from 2 to k possible outcomes) (1) Consists of n identical trials (2) There are k possible outcomes (categories) for each trial (3) The probabilities for the k outcomes, denoted p 1 , p 2 , …, p k , are the same for each trial (and p 1 + p 2 + … + p k = 1) (4) The trials are independent The cell counts, n 1 , n 2 , …, n k , which are the number of observations falling in each category, are the random variables which follow a multinomial distribution.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Analyzing a One-Way Table Suppose we have a single categorical variable with k categories. The cell counts from a multinomial experiment can be arranged in a one-way table . Example 1: Adults were surveyed about their favorite sport. There were 6 categories. p
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 8

notes515fall10chap13 - STAT 515 Chapter 13 Categorical Data...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online