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相关概念视频

Estimating Population Standard Deviation01:26

Estimating Population Standard Deviation

3.0K
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...
3.0K
Variance01:15

Variance

9.6K
 The deviations show how spread out the data are about the mean. A positive deviation occurs when the data value exceeds the mean, whereas a negative deviation occurs when the data value is less than the mean. If the deviations are added, the sum is always zero. So one cannot simply add the deviations to get the data spread. By squaring the deviations, the numbers are made positive; thus, their sum will also be positive.
The standard deviation measures the spread in the same units as the...
9.6K
Estimating Population Mean with Known Standard Deviation01:16

Estimating Population Mean with Known Standard Deviation

8.3K
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 +...
8.3K
Estimating Population Mean with Unknown Standard Deviation01:22

Estimating Population Mean with Unknown Standard Deviation

7.7K
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...
7.7K
Distributions to Estimate Population Parameter01:26

Distributions to Estimate Population Parameter

4.1K
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...
4.1K
Confidence Interval for Estimating Population Mean01:25

Confidence Interval for Estimating Population Mean

7.3K
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...
7.3K

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Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
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Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach

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改进了利用补充信息对人口的指数式差异类型估计器.

Mujeeb Hussain1, Qamruz Zaman1, Hijaz Ahmad2,3

  • 1Department of Statistics, University of Peshawar, Pakistan.

Heliyon
|June 3, 2024
PubMed
概括
此摘要是机器生成的。

这项研究引入了新的指数方差估计器,用于有限人口采样的补充信息. 这些新型估计器在统计分析中的传统方法相比,显示出更高的效率.

关键词:
效率 效率是指效率是指效率.平均平方误差 平均平方误差最佳的最优的最优的最优.补充额外的补充差异差异是指差异的差异.

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Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans
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科学领域:

  • 统计 统计 统计 统计
  • 调查方法 调查方法

背景情况:

  • 在有限种群中准确的差异估计对于可靠的统计推理至关重要.
  • 控制数据的变化可能具有挑战性,需要先进的估计技术.

研究的目的:

  • 通过使用补充信息,提出一个最佳的指数方差估计器家族.
  • 提高有限人口调查中差异估计的效率.

主要方法:

  • 一个概括类的指数方差估计器的发展.
  • 纳入已知特征的补充变量.
  • 偏差和平均平方误差 (MSE) 表达式的推导.
  • 在R软件中使用真实数据和模拟研究进行性能评估.

主要成果:

  • 提出的指数方差估计器显示了效率的提高.
  • 鉴定和分析了估计器家族的特定成员.
  • 经验和模拟结果证实了新估计器的优势.

结论:

  • 新的指数方差估计器家族提供了显著的效率增长.
  • 使用补充信息可以有效地改善差异估计.
  • 拟议的方法为有限人群采样技术提供了宝贵的进步.