Search results
Results from the WOW.Com Content Network
96% confidence bands around a local polynomial fit to botanical data. A confidence band is used in statistical analysis to represent the uncertainty in an estimate of a curve or function based on limited or noisy data. Similarly, a prediction band is used to represent the uncertainty about the value of a new data-point on the curve, but subject ...
Bonferroni bands for the same linear regression model, based on estimating the response variable given the observed values of X. The confidence bands are noticeably tighter. The Working–Hotelling approach may give tighter or looser confidence limits compared to the Bonferroni correction. In general, for small families of statements, the ...
The confidence band is a 95% simultaneous confidence band constructed using ... Microsoft Excel makes use of polynomial regression when fitting a trendline to data ...
It is particularly useful in analysis of variance (a special case of regression analysis), and in constructing simultaneous confidence bands for regressions involving basis functions. Scheffé's method is a single-step multiple comparison procedure which applies to the set of estimates of all possible contrasts among the factor level means, not ...
Given a sample from a normal distribution, whose parameters are unknown, it is possible to give prediction intervals in the frequentist sense, i.e., an interval [a, b] based on statistics of the sample such that on repeated experiments, X n+1 falls in the interval the desired percentage of the time; one may call these "predictive confidence intervals".
In statistical prediction, the coverage probability is the probability that a prediction interval will include an out-of-sample value of the random variable. The coverage probability can be defined as the proportion of instances where the interval surrounds an out-of-sample value as assessed by long-run frequency. [2]
Get AOL Mail for FREE! Manage your email like never before with travel, photo & document views. Personalize your inbox with themes & tabs. You've Got Mail!
A prediction interval estimates the interval containing future samples with some confidence, γ. Prediction intervals can be used for both Bayesian and frequentist contexts. These intervals are typically used in regression data sets, but prediction intervals are not used for extrapolation beyond the previous data's experimentally controlled ...