# gofsummdata - Data sheet Chi square tests Table 47 Goodness...

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Unformatted text preview: Data sheet - Chi square tests Table 47: Goodness of fit test calculations Score Frequency, O i Expected, E i O i- E i ( O i- E i ) 2 E i 1 5 10-5 (- ) 2.5 2 11 10 1 (+) 0.1 3 8 10-2 (- ) 0.4 4 10 10 (+) 0.0 5 14 10 4 (+) 1.6 6 12 10 2 (+) 0.4 Total 60 60 5.0 Table 48: Goodness of fit test calculations - using a continuity correction Suppose that an ESP experiment has a test where the probability of a correct response by guessing is 1 5 . In 25 trials, a subject gives 11 correct responses. Test the hypothesis that this is down to chance. Score Frequency, O i Expected, E i O i- E i ( | O i- E i |- 1 2 ) 2 E i Right 11 5 6 (5 . 5) 2 5 = 6 . 05 Wrong 14 20-6 (5 . 5) 2 20 = 1 . 51 Total 25 25 7.56 Evaluating our modified test statistic we obtain 7.56. For a χ 2 1 random variable, one degree of freedom, the 1% critical value is 6.63, so our test statistic is significant at the 1% level, and we reject the null hypothesis that the subject is guessing....
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gofsummdata - Data sheet Chi square tests Table 47 Goodness...

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