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).

References in periodicals archive ?
Successful release rate with 95% confidence limits (CL) and SE after rehabilitation by species group for all wild birds with coracoid fractures that were admitted to a wildlife rehabilitation facility and treated with nonsurgical conservative management.
I developed upper and lower confidence limits for every case where I made a prediction.
Red dotted lines in the figures are the confidence limits for [T.sup.2] and Q statistics.
Comparison of the values at the L[C.sub.50] level of each population after 24 h with those at L[C.sub.50] after 48 h showed significant differences in the response to flupyradifurone because the confidence limits did not overlap (Table 1).
Looking at Figures12 and 13, terms of ACF and PACF graphs for the first-difference time series were within confidence limits and thus they produced stationary time series.
A culvert example from the webinar shows results progressing from the single flow calculated in level 1, to the range bounded by confidence limits in level 2, to a further expanded range considering climate projections in level 4.
Note: shaded areas represent 95% upper and lower confidence limits.
EPA (2005) cancer guidelines, which state that a POD "marks the beginning of extrapolation to lower doses." Burgoon and Zacharewski (2008) described a POD in a way that conceptually resembles the SNCD: their POD was defined "as the point at which the upper 95% confidence limit for the vehicle response intersects the lower 95% confidence limit for the treated response based on parametric assumptions."
Estimates for the expected number of fatalities in the years 2010-2020, including their confidence limits, were obtained by multiplying these forecasts of the fatality risk by the three growth scenarios for the number of motor vehicles.
The chi-square values of logistic model fit the growth data at 99% confidence limits, whereas the chi square values of Gompertz model fit the growth data for control of both the isolates but failed to fit the data of both the isolates in the presence of metals (data not shown).
All statistical analyses were done in SAS version 9.3, except for 95% confidence limits of frequencies that were calculated in Microsoft Excel.