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The 54 pages that link to Confidence interval, each with the reason it gives.
Randomized controlled trialRelated: It conveys the precision and uncertainty of an estimated trial effect.
Monte Carlo methodRelated: It expresses sampling uncertainty around a Monte Carlo estimate.
Measurement uncertaintyCompared with: Its frequentist coverage meaning differs from a measurement coverage interval.
Sampling distributionRelated: Confidence intervals use sampling distributions to quantify the uncertainty of an estimate.
Normal distributionRelated: Normal quantiles set interval widths when estimates have approximately normal sampling distributions.
Central limit theoremRelated: Normal approximations from the theorem underpin many large-sample confidence intervals.
Statistical inferenceBroader topic: It expresses estimation uncertainty through a range with a long-run coverage guarantee.
Likelihood functionRelated: Likelihood-based procedures can produce confidence intervals by identifying parameter values compatible with the data.
P-valueCompared with: Intervals show a range of parameter values, while a p-value summarizes a tail probability.
Statistical powerRelated: Intervals show effect-size uncertainty and can be more informative than a power label alone.
Statistical significanceRelated: Intervals show estimate precision that a significant-or-not label conceals.
Intelligence quotientRelated: A test score is an estimate, so its precision is better represented by a range than a point alone.
Regression analysisRelated: Regression intervals quantify uncertainty in estimated coefficients.
UncertaintyBroader topic: It expresses sampling uncertainty around an estimated quantity.
Significant figuresCompared with: Intervals communicate inferential uncertainty more fully than a digit count.
Uncertainty quantificationCompared with: It is a frequentist interval summary, distinct from a Bayesian probability statement.
A/B testingRelated: Intervals show the range of effect sizes compatible with the experiment's data and method.
Null hypothesisRelated: Intervals show effect sizes compatible with data, adding information a reject-or-not decision can conceal.
Effect sizeRelated: Intervals show the uncertainty around an estimated effect size.
Bayesian statisticsCompared with: Unlike a credible interval, it does not assign a probability to the fixed parameter being inside this interval.
Sampling errorRelated: Its width reflects sampling uncertainty under the assumed model or design.
Standard errorRelated: Many confidence-interval formulas use a standard error to set the interval’s width.
StatisticsRelated: It expresses estimation uncertainty through a range with a precise long-run interpretation.
PrevalenceRelated: It conveys sampling uncertainty around an estimated prevalence.
Statistical hypothesis testingRelated: Intervals convey plausible parameter values and precision beyond a binary test decision.
Excess mortalityRelated: Baseline models and incomplete death counts make excess-mortality estimates uncertain.
Frequentist statisticsRelated: Its confidence level describes long-run coverage, not a probability distribution for the fixed parameter.
Posterior probabilityCompared with: It is often mistaken for a posterior probability interval, but its interpretation differs.
Type I and type II errorsRelated: Confidence levels and two-sided tests are linked through their shared error rates.
Margin of errorRelated: The margin of error is the distance from the estimate to either endpoint of a symmetric confidence interval.
Vaccine efficacyRelated: It shows the precision of an efficacy estimate, which a single percentage cannot convey.
BiostatisticsRelated: Intervals communicate estimate precision beyond a single biomedical point estimate.
Frequentist probabilityBroader topic: Its stated coverage is a long-run frequency, not a probability assigned to the fixed parameter.
Jerzy NeymanBroader topic: Neyman developed the modern repeated-sampling interpretation of confidence intervals.
Prediction intervalCompared with: It targets the mean effect, whereas a prediction interval targets a future study’s effect.
Student's t-testRelated: A t-based interval expresses plausible values for a mean or mean difference alongside a test.
Null hypothesis significance testingRelated: Intervals add estimates of plausible effect sizes that a binary test omits.
Overconfidence effectRelated: People's subjective ranges often fail to achieve their claimed coverage.
Parameter (statistics)Related: It expresses parameter uncertainty with a range rather than one estimate.
BiometricsRelated: Intervals express the uncertainty attached to biometric estimates.
Chi-squared distributionRelated: For normal data, chi-squared quantiles produce confidence intervals for a population variance.
Frequentist inferenceBroader topic: Its confidence level describes long-run coverage, not a probability assigned to this realized interval.
Mathematical statisticsBroader topic: Coverage properties let mathematical statistics assess interval procedures across repeated samples.
Population parameterRelated: It reports uncertainty about a parameter estimate rather than only a single value.
Credible intervalCompared with: Unlike a credible interval, its coverage statement concerns repeated samples, not posterior probability for fixed bounds.
Sample size determinationRelated: A desired interval width supplies a direct precision target for sample planning.
Statistical hypothesis testCompared with: Intervals express compatible parameter values, complementing a test's thresholded decision.
Correlation coefficientRelated: Intervals express uncertainty around estimated population correlations.
Parametric statisticsRelated: Parametric uncertainty estimates use the fitted model's sampling behavior.
Statistical analysisBroader topic: It expresses estimation uncertainty as a range rather than a single value.