Can someone help me understand chi-square values given on a GOF test?
The larger the value of the Chi Test statistic, the less likely there is a good fit. Say you have model A, and data B. the chi test compares A and B. If A models the true data in B "well enough", the chi test will have a low value....this means a "good fit". It's been a while since I took AP Stat, so the terminology used in Univeristy is a bit more complicated.
so say i have an expected for a coin toss of 25 for each heads and tails. the degree of freedom would be 1 and the actual outcome is 30, 20 heads and tails respectively. how would i read the results on the result using a chi-square GOF test on the calculator?
for it i got a chi-square value of 2 and a pval of .157
would this be read as "there is not significant evidence to reject the statement that the coin is fair at the .01 significance value" or would the statement that the coin is fair be rejected?
Yes, thats exactly right. The p value is higher than .05, or whatever your level of significance is.
Oh, nvm. I meant to say, at the .01 level
in our math books, there is a chart with significance values and degrees of freedom, but no one knows how to interpret it
so as long as i keep doing what i'm doing, i'll be fine. which of the statements would be correct from above?
In essence, yes. Pay attention to the p values, being the most important thing. Can you describe the chart in more detail? On one axis it has significance values, and the other, degrees of freedom?
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