In statistics, a confidence interval (CI) is a range of values used to estimate an unknown statistical parameter, such as a population mean. Rather than...

In statistics, a binomial proportion confidence interval is a confidence interval for the probability of success calculated from the outcome of a series...

called credible set or credible region. Credible intervals are a Bayesian analog to confidence intervals in frequentist statistics. The two concepts arise...

The most prevalent forms of interval estimation are confidence intervals (a frequentist method) and credible intervals (a Bayesian method). Less common...

prediction interval bears the same relationship to a future observation that a frequentist confidence interval or Bayesian credible interval bears to an...

and Gao, S. (1997), "Confidence intervals for the log-normal mean," Statistics in Medicine, 16, 783–790. Confidence Intervals for Risk Ratios and Odds...

can be described by the confidence interval or CI. To show how a larger sample will make the confidence interval narrower, consider the following examples:...

data. Bootstrapping assigns measures of accuracy (bias, variance, confidence intervals, prediction error, etc.) to sample estimates. This technique allows...

probability, or coverage for short, is the probability that a confidence interval or confidence region will include the true value (parameter) of interest...

A tolerance interval (TI) is a statistical interval within which, with some confidence level, a specified sampled proportion of a population falls. "More...

separate 95% confidence interval for each age. Each of these confidence intervals covers the corresponding true value f(x) with confidence 0.95. Taken...

allowing the construction of a z-test for hypothesis testing and confidence interval estimation. It is used in various fields to compare success rates...

of a confidence interval for π, respectively. Since ψ = π / ( 1 − π ) {\displaystyle \psi =\pi /(1-\pi )} , the corresponding confidence interval for ψ...

robust confidence interval is a robust modification of confidence intervals, meaning that one modifies the non-robust calculations of the confidence interval...

cumulative distribution function. To obtain a confidence interval for ρ, we first compute a confidence interval for F( ρ {\displaystyle \rho } ): 100 ( 1...

nonparametric confidence intervals are a general class of confidence intervals around statistical functionals of a distribution. To calculate these confidence intervals...

In statistics, Fieller's theorem allows the calculation of a confidence interval for the ratio of two means. Variables a and b may be measured in different...

interval estimation: such interval estimates are typically either confidence intervals, in the case of frequentist inference, or credible intervals,...

data analysis framework that uses a combination of effect sizes, confidence intervals, precision planning, and meta-analysis to plan experiments, analyze...

each of these studies (often represented by a square) incorporating confidence intervals represented by horizontal lines. The graph may be plotted on a natural...

(1-\alpha )} -confidence interval p ± ε {\displaystyle \textstyle p\pm \varepsilon } . Hence, the cost of acquiring the confidence interval is sublinear...

eventually obtained, i.e., if a high precision is required (narrow confidence interval) this translates to a low target variance of the estimator. the use...

can be estimated through the usage of a confidence interval known as a one-sample proportion in the Z-interval whose formula is given below: p ^ ± z ∗...

observation k from a Poisson distribution with mean μ, a confidence interval for μ with confidence level 1 – α is 1 2 χ 2 ( α / 2 ; 2 k ) ≤ μ ≤ 1 2 χ 2 (...

Euclidean likelihood approach in de Carvalho and Marques (2012). The confidence interval with level α {\displaystyle \alpha } is based on a Wilks' theorem...

McNemar's test. Building confidence interval around it can be constructed using methods described above for Confidence intervals for the difference of two...

whole population. Often they are expressed as 95% confidence intervals. Formally, a 95% confidence interval for a value is a range where, if the sampling...

problem several methods to estimate confidence intervals have been proposed. In the equations for confidence intervals below, the variables have the following...

SD(project) The 90% confidence interval for the true project work time is approximately E(project) ± 1.645 × SD(project) The 95% confidence interval for the true...

mean (SEM). The standard error is a key ingredient in producing confidence intervals. The sampling distribution of a mean is generated by repeated sampling...