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Confidence Limits

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Confidence Limits 

Confidence limits for an unknown value of the parameter θ, which correspond to the given coefficient of confidence p, are the functions θ1,(ξ1, ξ2 … , ξn) and θ2,(ξ1, ξ2 … , ξn) of the observations ξ1, ξ2 … , ξnsuch that for any “permissible” probability distribution, the inequalities

θ1,(ξ1, ξ2 … , ξn) ≤ θ ≤ θ2 θ2,(ξ1, ξ2 … , ξn)

are realized with a probability of not less than P (and, consequently, are violated with a probability of not greater than 1 - P).



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Other topics include study design, estimates and confidence limits, and the many uses of chi-square.
Results are referenced in Table 2, below, which lists 95% confidence limits for different degrees of freedom.
Now we would have to see that the counters were calibrated as closely as possible and that their confidence limits were nearly the same.
 
 
 
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