Hypothesis Testing

Hypothesis Testing - Hypothesis Testing The 2 Test Provides...

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ME365 Statistics Provides a means to check whether the observed distribution is consistent with the expected theoretical distribution Divide range of possible values into M bins. Determine number of observed values O k in each bin k . Determine number of expected values E k in each bin k . Use squared error to represent the “closeness” of the hypothesis (model) to the observed measurement: Repeat the measurement enough times to determine the distribution of 2 . A “good” hypothesis will have a reasonably small 2 value. Hypothesis Testing - The 2 Test E O E k k k k M 2 1

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ME365 Statistics Hypothesis Testing - The 2 Test Reduced 2 Value ( ): (normalize w.r.t. d ) We determine the validity of our hypothesis by checking whether the probability of is between 5% and 95%: Table in Course Notes Chapter 4 Appendix C is used to find the probability of . You need to know the value of and d.
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