Hi ,
These days I use “Pearson’s Chi-square” to calculate the “confidence levels”. And I find one thing which confuses me.
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There are three examples.
x^2=\sum\frac{(O_i-E_i)^2}{E_i}
1>
E_i: 0.04 0.05 0.06 0.07 0.08
O_i: 0.08 0.09 0.01 0.07 0.02
x^2=0.0016/0.04+0.0016/0.05+0.0025/0.06+0+0.0036/0.08=[color=red]0.1587[/color]
2>
E_i: 4 5 6 7 8
O_i: 8 9 1 7 2
x^2=16/4+16/5+25/6+0+36/8=[color=red]15.87[/color]
3>
E_i: 400 500 600 700 800
O_i: 800 900 100 700 200
x^2=160000/400+160000/500+250000/600+360000/800=[color=red]1587[/color]
Do they show that if all the bin Contents are small then the chi2 is small, and if all the bin contents are big then the chi2 is big too?
If yes, how should I handle the cases that all the bin contents are too small or too big?
If no, what is wrong?
Thanks a lot.