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chitest and interpretation of the result
When I am using the statistical function "chitest" (the word is in Danish,
since i dont have the english version, but i presume the word is more or less the same in the english version), I have difficulties interpretating the result. If the result is 0.01, does is mean that there is 1% probability of my samples originating from the same underlying distribution? Or does it mean, that my samples are from the underlying distribution with a CI of 1 %??? I sincerely hope someone in this forum can help me. Christine - |
#2
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Christine -
When I am using the statistical function "chitest" (the word is in Danish, since i dont have the english version, but i presume the word is more or less the same in the english version), I have difficulties interpretating the result. If the result is 0.01, does is mean that there is 1% probability of my samples originating from the same underlying distribution? Or does it mean, that my samples are from the underlying distribution with a CI of 1 %??? < Because of the way the CHITEST function computes degrees of freedom, it is most appropriate only for tests of the independence of classifications arranged in a contingency table. If you are doing a chi-square test for goodness of fit (comparing sample data with a hypothesized underlying distribution), I recommend using the CHIDIST function to obtain the p-value. To use CHIDIST, you must first compute the chi-square statistic yourself. But CHIDIST allows you to specify the appropriate degrees of freedom for your situation. The p-value returned by both CHITEST and CHIDIST is a standard way of reporting the result of a hypothesis test. In general, a p-value reports how likely it is that the observed sample result, or a sample result more extreme, could be obtained if the null hypothesis is true. For a test of the independence of classifications arranged in a contingency table, the CHITEST function returns the probability that the actual frequencies (or more extreme frequencies) could be obtained in a random sample if the classifications are independent. For a test of goodness of fit, the CHIDIST function returns the probability that the actual frequencies (or more extreme frequencies) could be obtained in a random sample from the hypothesized distribution. In general, a small p-value indicates a very unlikely result under the null hypothesis, so the null hypothesis may be rejected. A large p-value indicates the observed sample is quite likely to occur under the null hypothesis, so the null hypothesis may not be rejected. - Mike www.mikemiddleton.com |
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