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Distributions to Estimate Population Parameter01:26

Distributions to Estimate Population Parameter

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The accurate values of population parameters such as population proportion, population mean, and population standard deviation (or variance) are usually unknown. These are fixed values that can only be estimated from the data collected from the samples. The estimates of each of these parameters are sample proportion, the sample mean, and sample standard deviation (or variance). To obtain the values of these sample statistics, data are required that have particular distribution and central...
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Estimating Population Standard Deviation01:26

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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 Known Standard Deviation01:16

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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.
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Confidence Interval for Estimating Population Mean01:25

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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...
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Estimating Population Mean with Unknown Standard Deviation01:22

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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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Population-based priors in cardiac model personalisation for consistent parameter estimation in heterogeneous

Roch Molléro1, Xavier Pennec1, Hervé Delingette1

  • 1Inria, Epione Research Project, Sophia Antipolis, France.

International Journal for Numerical Methods in Biomedical Engineering
|September 22, 2018
PubMed
Summary
This summary is machine-generated.

Personalised cardiac models face parameter estimation challenges due to limited patient data. An Iteratively Updated Priors (IUP) algorithm enables unique parameter identification by leveraging population statistics for improved cardiac model personalization.

Keywords:
cardiac electromechanical modellingparameter estimationparameter selectionpersonalised modelling

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Area of Science:

  • Computational Biology
  • Biomedical Engineering
  • Cardiovascular Research

Background:

  • Personalised cardiac models require accurate parameter values for clinical applications.
  • Limited patient data restricts unique parameter estimation in complex cardiac models.
  • Current methods face obstacles in achieving precise parameter identification.

Purpose of the Study:

  • To introduce and evaluate the Iteratively Updated Priors (IUP) algorithm for personalised cardiac model parameter estimation.
  • To address the challenge of non-unique parameter identification in personalised cardiac models.
  • To demonstrate the utility of IUP for handling missing or varied clinical measurements.

Main Methods:

  • Developed an algorithm, Iteratively Updated Priors (IUP), for successive personalization of cardiac models.
  • Employed maximum a posteriori (MAP) estimation, using prior distributions from previous iterations.
  • Validated the approach on a heterogeneous database of 811 patient cardiac models.

Main Results:

  • The IUP algorithm converges to a reduced-dimension linear subspace for parameter estimation.
  • Identified a relevant parameter subspace for effective model personalization.
  • Demonstrated consistent parameter estimation even with missing or varied clinical data.

Conclusions:

  • The IUP algorithm provides a robust method for unique parameter estimation in personalised cardiac models.
  • Leveraging population statistics within a reduced parameter subspace enhances model accuracy and consistency.
  • This approach facilitates improved clinical applicability of personalised cardiac modeling.