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関連する概念動画

What is Population Genetics?01:25

What is Population Genetics?

64.5K
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.
64.5K
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 +...
9.6K
Confidence Interval for Estimating Population Mean01:25

Confidence Interval for Estimating Population Mean

8.8K
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...
8.8K
Distributions to Estimate Population Parameter01:26

Distributions to Estimate Population Parameter

5.0K
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...
5.0K
Estimating Population Mean with Unknown Standard Deviation01:22

Estimating Population Mean with Unknown Standard Deviation

8.8K
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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Updated: Jan 24, 2026

Topographical Estimation of Visual Population Receptive Fields by fMRI
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集団遺伝学のためのニューラル事後推定

Jiseon Min, Yuxin Ning, Nathaniel S Pope

    bioRxiv : the preprint server for biology
    |January 23, 2026
    PubMed
    まとめ
    この要約は機械生成です。

    ニューラル事後推定(NPE)は、集団遺伝学における近似ベイズ計算(ABC)の正確かつ効率的な代替手段を提供する。この機械学習アプローチは、遺伝データから事後分布を効果的に推定し、従来の方法の限界を克服する。

    キーワード:
    ニューラル事後推定集団遺伝学機械学習ベイズ推論人口統計学的推論

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    科学分野:

    • 集団遺伝学
    • 計算生物学
    • 機械学習

    背景:

    • 近似ベイズ計算(ABC)のようなシミュレーションベースの推論方法は、集団遺伝学において価値があるが、計算コストと高次元データに対する限界に直面している。
    • 教師あり機械学習(ML)は代替手段を提供するが、通常はベイズの不確実性推定を欠いている。

    研究 の 目的:

    • 集団遺伝学のためのABCと教師ありMLの強みを組み合わせた方法として、ニューラル事後推定(NPE)を導入および評価すること。
    • 遺伝データを使用した人口統計学的推論におけるNPEの精度、効率、および適用可能性を実証すること。

    主な方法:

    • 集団遺伝学モデルのためのニューラル事後推定(NPE)を実行するためにニューラルネットワークをトレーニングした。
    • 生の遺伝子型と要約統計量を入力として使用して、NPEと既存の推論方法を比較した。
    • 単純および複雑な集団モデルの両方に対する人口統計学的推論にNPEを適用した。

    主要な成果:

    • ニューラル事後推定器は、事後分布を得る上で高い精度と効率を示した。
    • NPEは、生の遺伝データと要約統計量の両方を使用して事後分布を正常に推定した。
    • この方法は、さまざまな集団遺伝学シナリオにおける人口統計学的推論に効果的であることが証明された。

    結論:

    • ニューラル事後推定(NPE)は、複雑な集団遺伝学推論のための強力で用途の広いアプローチを提供する。
    • NPEは、近似ベイズ計算(ABC)および従来の機械学習の主な限界を克服する。
    • 集団遺伝学研究におけるNPEの採用を容易にするためのユーザーフレンドリーなワークフローが提供される。