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Related Concept Videos

What is Population Genetics?01:25

What is Population Genetics?

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A population is composed of members of the same species that simultaneously live and interact in the same area. When individuals in a population breed, they pass down their genes to their offspring. Many of these genes are polymorphic, meaning that they occur in multiple variants. Such variations of a gene are referred to as alleles. The collective set of all the alleles within a population is known as the gene pool.
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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 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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Confidence Interval for Estimating Population Mean01:25

Confidence Interval for Estimating Population Mean

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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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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 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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Topographical Estimation of Visual Population Receptive Fields by fMRI
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Neural posterior estimation for population genetics.

Jiseon Min, Yuxin Ning, Nathaniel S Pope

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    Summary
    This summary is machine-generated.

    Neural posterior estimation (NPE) offers an accurate and efficient alternative to Approximate Bayesian Computation (ABC) for population genetics. This machine learning approach effectively estimates posterior distributions from genetic data, overcoming limitations of traditional methods.

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    Area of Science:

    • Population Genetics
    • Computational Biology
    • Machine Learning

    Background:

    • Simulation-based inference methods, like Approximate Bayesian Computation (ABC), are valuable in population genetics but face computational expense and limitations with high-dimensional data.
    • Supervised machine learning (ML) offers an alternative but typically lacks Bayesian uncertainty estimates.

    Purpose of the Study:

    • To introduce and evaluate Neural Posterior Estimation (NPE) as a method combining the strengths of ABC and supervised ML for population genetics.
    • To demonstrate NPE's accuracy, efficiency, and applicability in demographic inference using genetic data.

    Main Methods:

    • Trained a neural network to perform Neural Posterior Estimation (NPE) for population genetics models.
    • Compared NPE with existing inference methods using raw genotypes and summary statistics as input.
    • Applied NPE to demographic inference for both simple and complex population models.

    Main Results:

    • Neural posterior estimators demonstrated high accuracy and efficiency in yielding posterior distributions.
    • NPE successfully estimated posterior distributions using both raw genetic data and summary statistics.
    • The method proved effective for demographic inference in various population genetic scenarios.

    Conclusions:

    • Neural Posterior Estimation (NPE) provides a powerful and versatile approach for complex population genetics inference.
    • NPE overcomes key limitations of Approximate Bayesian Computation (ABC) and traditional machine learning.
    • A user-friendly workflow is provided to facilitate the adoption of NPE in population genetics research.