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Related Concept Videos

Uncertainty: Confidence Intervals00:54

Uncertainty: Confidence Intervals

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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...
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Prediction Intervals01:03

Prediction Intervals

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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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Estimating Population Standard Deviation01:26

Estimating Population Standard Deviation

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When the population standard deviation is unknown and the sample size is large, the sample standard deviation s is commonly used as a point estimate of σ. However, it can sometimes under or overestimate the population standard deviation. To overcome this drawback, confidence intervals are determined to estimate population parameters and eliminate any calculation bias accurately. However, this only applies to random samples from normally distributed populations. Knowing the sample mean and...
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Estimating Population Mean with Unknown Standard Deviation01:22

Estimating Population Mean with Unknown Standard Deviation

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In practice, we rarely know the population standard deviation. In the past, when the sample size was large, this did not present a problem to statisticians. They used the sample standard deviation s as an estimate for σ and proceeded as before to calculate a confidence interval with close enough results. However, statisticians ran into problems when the sample size was small. A small sample size caused inaccuracies in the confidence interval.
William S. Gosset (1876–1937) of the...
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Estimating Population Mean with Known Standard Deviation01:16

Estimating Population Mean with Known Standard Deviation

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To construct a confidence interval for a single unknown population mean μ, where the population standard deviation is known, we need sample mean as an estimate for μ and we need the margin of error. Here, the margin of error (EBM) is called the error bound for a population mean (abbreviated EBM). The sample mean is the point estimate of the unknown population mean μ.
The confidence interval estimate will have the form as follows:
(point estimate - error bound, point estimate +...
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Quantifying uncertainty in brain-predicted age using scalar-on-image quantile regression.

Marco Palma1, Shahin Tavakoli1, Julia Brettschneider2

  • 1Department of Statistics, University of Warwick, Coventry, CV4 7AL, United Kingdom.

Neuroimage
|June 6, 2020
PubMed
Summary

This study introduces a new method for predicting brain age using brain MRI scans, accounting for prediction uncertainty. This approach provides prediction intervals, unlike previous point-only predictions, offering a more comprehensive assessment for neurodegenerative diseases.

Keywords:
Brain agePrediction intervalsQuantile regressionScalar-on-image regression

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Area of Science:

  • Neuroimaging
  • Biostatistics
  • Neurodegenerative Diseases

Background:

  • Brain age prediction from MRI offers insights into neurodegenerative diseases.
  • Current methods often overlook prediction uncertainty.
  • Quantifying this uncertainty is crucial for reliable clinical application.

Purpose of the Study:

  • To develop a novel method for brain age prediction that incorporates uncertainty.
  • To apply functional data analysis, specifically penalized functional quantile regression, for this purpose.
  • To predict brain age and its uncertainty in individuals with Mild Cognitive Impairment (MCI) and Alzheimer's Disease (AD).

Main Methods:

  • Utilized penalized functional quantile regression on brain structure data from cognitively normal (CN) subjects in the Alzheimer's Disease Neuroimaging Initiative (ADNI) cohort.
  • Modeled age as a function of brain anatomy.
  • Extended the model to predict brain age for MCI and AD subjects.

Main Results:

  • The proposed model generates prediction intervals for brain age, unlike traditional point-prediction machine learning methods.
  • This provides a more nuanced estimation of brain age, reflecting inherent uncertainties.
  • The method was successfully applied to predict brain age in MCI and AD populations.

Conclusions:

  • Functional quantile regression offers a robust framework for brain age prediction with uncertainty quantification.
  • Prediction intervals enhance the interpretability and clinical utility of brain age as a biomarker.
  • This approach advances the assessment of brain changes in neurodegenerative conditions.