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Related Concept Videos

Confidence Intervals01:21

Confidence Intervals

10.8K
An unbiased point estimate is often insufficient to predict a population estimate, such as population mean or population proportion. In this scenario, a confidence interval is used. A confidence interval is an estimate similar to a  sample proportion. However, unlike the point estimate which is a single value, the confidence interval  contains a range of values. These values have lower and upper limits, known as confidence limits, and can be designated as L1 and L2, respectively.
A...
10.8K
Prediction Intervals01:03

Prediction Intervals

3.4K
The interval estimate of any variable is known as the prediction interval. It helps decide if a point estimate is dependable.
However, the point estimate is most likely not the exact value of the population parameter, but close to it. After calculating point estimates, we construct interval estimates, called confidence intervals or prediction intervals. This prediction interval comprises a range of values unlike the point estimate and is a better predictor of the observed sample value, y. 
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Interpretation of Confidence Intervals01:19

Interpretation of Confidence Intervals

10.2K
A confidence interval is a better estimate of the population than a point estimate, as it uses a range of values from a sample instead of a single value.
Confidence intervals have confidence coefficients that are crucial for their interpretation. The most common confidence coefficients are 0.90, 0.95, and 0.99, which can be written as percentages–90%, 95%, and 99%, respectively.
Suppose a person calculates a confidence interval with a confidence coefficient of 0.95. In that case, they can...
10.2K
Uncertainty: Confidence Intervals00:54

Uncertainty: Confidence Intervals

11.8K
The confidence interval is the range of values around the mean that contains the true mean. It is expressed as a probability percentage. The interpretation of a 95% confidence interval, for instance, is that the statistician is 95% confident that the true mean falls within the interval. The upper and lower limits of this range are known as confidence limits. The confidence limits for the true mean are estimated from the sample's mean, the standard deviation, and the statistical factor...
11.8K
Confidence Interval for Estimating Population Mean01:25

Confidence Interval for Estimating Population Mean

9.0K
A point estimate of the population mean is obtained from a single sample. Such a point estimate does not represent a population well because it needs to account for variability in the population. Single point estimate can also be biased despite the sample being selected randomly. Thus, a point estimate is often unreliable. A confidence interval is needed to reduce this unreliability.
A confidence interval for the mean is a range of values that provides an estimate of the population mean. As the...
9.0K
Confidence Coefficient01:24

Confidence Coefficient

10.7K
The confidence coefficient is also known as the confidence level or degree of confidence. It is the percent expression for the probability, 1-α, that the confidence interval contains the true population parameter assuming that the confidence interval is obtained after sufficient unbiased sampling; for example, if the CL = 90%, then in 90 out of 100 samples the interval estimate will enclose the true population parameter. Here α is the area under the curve, distributed equally under...
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A Protocol for Computer-Based Protein Structure and Function Prediction
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Confidence and Prediction Intervals for Pharmacometric Models.

Anne Kümmel1, Peter L Bonate2, Jasper Dingemanse3

  • 1Intiquan GmbH, Basel, Switzerland.

CPT: Pharmacometrics & Systems Pharmacology
|February 2, 2018
PubMed
Summary

Pharmacometric models aid drug development decisions by predicting drug effects and exposures. This tutorial emphasizes reporting prediction uncertainty, crucial for clinical decision-making, over parameter estimation uncertainty.

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Area of Science:

  • Pharmacometrics and Drug Development
  • Quantitative Pharmacology
  • Clinical Decision Support

Background:

  • Pharmacometric models are vital for drug development, predicting drug exposure (pharmacokinetics) and effects (pharmacodynamics).
  • Current practices often focus on parameter estimation uncertainty, which is less relevant for clinical application.
  • Accurate uncertainty quantification is essential for informed clinical decision-making.

Purpose of the Study:

  • To review confidence and prediction intervals in pharmacometric modeling.
  • To provide calculation methods for prediction intervals.
  • To encourage routine reporting of prediction uncertainty by pharmacometricians.

Main Methods:

  • Review of statistical concepts: confidence intervals vs. prediction intervals.
  • Discussion of calculation methodologies for prediction intervals.
  • Illustrative examples (not explicitly detailed in abstract but implied by 'tutorial' and 'methods').

Main Results:

  • Parameter estimation uncertainty is commonly reported but less critical than prediction uncertainty.
  • Prediction uncertainty is the key metric for supporting clinical decisions.
  • Confidence and prediction intervals offer distinct information crucial for different decision-making contexts.

Conclusions:

  • Pharmacometricians should prioritize reporting prediction uncertainty for robust clinical decision support.
  • Understanding and calculating prediction intervals are essential skills for pharmacometricians.
  • Routine reporting of prediction intervals will enhance the utility of pharmacometric models in drug development.