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Related Concept Videos

Prediction Intervals01:03

Prediction Intervals

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. 
The...
Confidence Intervals01:21

Confidence Intervals

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 confidence...
Uncertainty: Confidence Intervals00:54

Uncertainty: Confidence Intervals

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 't,' or...
Interpretation of Confidence Intervals01:19

Interpretation of Confidence Intervals

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...
Confidence Interval for Estimating Population Mean01:25

Confidence Interval for Estimating Population Mean

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...
Residuals and Least-Squares Property01:11

Residuals and Least-Squares Property

The vertical distance between the actual value of y and the estimated value of y. In other words, it measures the vertical distance between the actual data point and the predicted point on the line
If the observed data point lies above the line, the residual is positive, and the line underestimates the actual data value for y. If the observed data point lies below the line, the residual is negative, and the line overestimates the actual data value for y.
The process of fitting the best-fit...

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Related Experiment Video

Updated: May 24, 2026

Three-Dimensional Shape Modeling and Analysis of Brain Structures
05:33

Three-Dimensional Shape Modeling and Analysis of Brain Structures

Published on: November 14, 2019

Confidence regions for statistical model based shape prediction from sparse observations.

Rémi Blanc1, Gábor Szekely

  • 1IMS Laboratory, University of Bordeaux, F-33405 Talence Cedex, France. rblanc33@gmail.com

IEEE Transactions on Medical Imaging
|March 1, 2012
PubMed
Summary
This summary is machine-generated.

This study introduces a framework to predict organ shapes using statistical models, crucial for minimally invasive surgery when organs are not fully visible. It quantifies prediction reliability, enhancing patient safety by estimating shape and uncertainty.

Related Experiment Videos

Last Updated: May 24, 2026

Three-Dimensional Shape Modeling and Analysis of Brain Structures
05:33

Three-Dimensional Shape Modeling and Analysis of Brain Structures

Published on: November 14, 2019

Area of Science:

  • Medical Imaging
  • Surgical Robotics
  • Computational Anatomy

Background:

  • Accurate shape prediction is vital in minimally invasive surgery, especially when imaging limitations obscure target organs.
  • Statistical shape models can infer unseen organ parts from visible portions, but quantifying prediction reliability is critical for patient safety.

Purpose of the Study:

  • To develop and present a framework for estimating complete organ shapes and their associated uncertainties.
  • To formalize and extend previous work by incorporating major uncertainty sources like pose estimation and correspondence identification.

Main Methods:

  • Developed a framework integrating pose and shape parameter estimation.
  • Incorporated uncertainty from identifying correspondences between sparse observations and the statistical shape model.
  • Evaluated the methodology on a large dataset of 171 human femurs and synthetic liver models.

Main Results:

  • The proposed framework successfully estimates complete shapes and associated uncertainties.
  • Experiments demonstrated the ability to generate informative and reliable confidence regions for shape predictions.
  • The approach effectively handles uncertainties arising from pose estimation and sparse observation correspondences.

Conclusions:

  • The presented framework provides a reliable method for estimating organ shapes and uncertainties in scenarios with sparse observations.
  • This approach enhances patient safety in minimally invasive surgery by offering quantifiable reliability of shape predictions.
  • The methodology is robust, as validated by experiments on human femurs and a liver model.