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Unformatted text preview: Chapter 11: ChiSquare ( χ 2 ) Tests Bin Wang * April 20, 2009 1 The ChiSquare Distribution 1.1 Properties of the chisquare distribution Definition 1.1 (Chisquare distribution) The chisquare distribution • has one parameter: the degrees of freedom, df . The chisquare distribution skews to right for small df and becomes more symmetric for large df . • assumes nonnegative values. The entire distribution curve lies to the right of the vertical axis. 1.2 Use the chisquare distribution table 1. Given the df and area of the tail, find the χ 2 value. Example 1.1 For example, if df = 7 and the area of the right tail is . 10 , find the χ 2 value. Answer: 12 . 017 * This lecture notes is first created on April 20, 2009. If you have questions, please contact me via email: [email protected] or phone: (251) 4606264 ext 2626. 1 Example 1.2 For example, if df = 7 and the area of the left tail is . 10 , find the χ 2 value. Answer: 2 . 833 2 2 A Goodnessoffit Test Definition 2.1 (Multinomial Experiment) An experiment is called a multinomial ex periment if 1. it consists of n identical trials (repetitions); 2. each trial results in one of k possible outcomes, k > 2 ; 3. the trials are independent; 4. the probabilities of the various outcomes remain constant for each trial....
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This note was uploaded on 02/05/2012 for the course ST 210 taught by Professor Wangs during the Fall '09 term at S. Alabama.
 Fall '09
 Wangs

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