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Unformatted text preview: Chapter 12 Section 1 GoodnessofFit Test Fall 2008 1 GoodnessofFit Test Learning objective Perform a goodnessoffit test 1 Fall 2008 2 GoodnessofFit Test Instead of measuring a particular parameter (such as the mean), here we analyze whether a set of counts is as we expect We roll a die 600 times does this set of counts differ significantly from the expected 100 per category? We are told that 40% of new cars that are sold are white, 45% are black, and 15% are red. If we take a random sample of 100 cars, does our actual count differ significantly from what we expected? Fall 2008 3 GoodnessofFit Test A goodnessoffit test is a procedure used in inferential statistics that compares observed frequencies and expected frequencies A goodnessoffit test is a procedure used in inferential statistics that compares observed frequencies and expected frequencies For example, if we have the results of 600 rolls of a die 1 2 3 4 5 6 Actual Number 90 105 115 95 95 100 Expected Number 100 100 100 100 100 100 A goodnessoffit test is a procedure used in inferential statistics that compares observed frequencies and expected frequencies For example, if we have the results of 600 rolls of a die Is the die a fair one? Fall 2008 4 GoodnessofFit Test Goodnessoffit tests apply to experiments that consist of a series of n independent trials Each trial has k 3 different possible outcomes We let p 1 , p 2 , , p k be the probabilities of the k outcomes (one p i for each of the possible outcomes) Fall 2008 5 GoodnessofFit Test Goodnessoffit tests use the...
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This note was uploaded on 02/14/2011 for the course STAT 250 taught by Professor Sims during the Spring '08 term at George Mason.
 Spring '08
 sims

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