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相关概念视频

One-Way ANOVA: Equal Sample Sizes01:15

One-Way ANOVA: Equal Sample Sizes

3.2K
One-Way ANOVA can be performed on three or more samples with equal or unequal sample sizes. When one-way ANOVA is performed on two datasets with samples of equal sizes, it can be easily observed that the computed F statistic is highly sensitive to the sample mean.
Different sample means can result in different values for the variance estimate: variance between samples. This is because the variance between samples is calculated as the product of the sample size and the variance between the...
3.2K
One-Way ANOVA: Unequal Sample Sizes01:15

One-Way ANOVA: Unequal Sample Sizes

5.7K
One-way ANOVA can be performed on three or more samples of unequal sizes. However, calculations get complicated when sample sizes are not always the same. So, while performing ANOVA with unequal samples size, the following equation is used:
5.7K
Variance01:15

Variance

9.3K
 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...
9.3K
Sampling Distribution01:12

Sampling Distribution

12.3K
Given simple random samples of size n from a given population with a measured characteristic such as mean, proportion, or standard deviation for each sample, the probability distribution of all the measured characteristics is called a sampling distribution. How much the statistic varies from one sample to another is known as the sampling variability of a statistic. You typically measure the sampling variability of a statistic by its standard error. The standard error of the mean is an example...
12.3K
Testing a Claim about Standard Deviation01:19

Testing a Claim about Standard Deviation

2.4K
A complete procedure to test a claim about population standard deviation or population variance is explained here.
The hypothesis testing for the claim of population standard deviation (or variance) requires the data and samples to be random and unbiased. The population distribution also must be normal. There is no specific requirement on the sample size as the estimation is based on the chi-square distribution.
As a first step, the hypothesis (null and alternative) concerning the claim about...
2.4K
Estimating Population Mean with Unknown Standard Deviation01:22

Estimating Population Mean with Unknown Standard Deviation

7.6K
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...
7.6K

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相关实验视频

Updated: Jun 11, 2025

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
04:35

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

Published on: July 3, 2020

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一个简单的差异估计器不平等的概率采样没有替换.

Yves G Berger1

  • 1Social Statistics, University of Southampton, UK.

Journal of applied statistics
|October 7, 2024
PubMed
概括
此摘要是机器生成的。

哈杰克差异估计器为不平等的概率抽样提供了一个比汉森-赫尔维茨估计器更准确的替代方案. 它简化了商业调查中的差异估计,仅依赖于第一阶段的包含概率.

关键词:
基于设计的推断推断.汉森赫维茨差异估计器的差异估计器参议员耶茨格兰迪差异估计器包含概率的可能性.π-估计器的使用.

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Decomposing the Variance in Reading Comprehension to Reveal the Unique and Common Effects of Language and Decoding
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Decomposing the Variance in Reading Comprehension to Reveal the Unique and Common Effects of Language and Decoding

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Observation and Analysis of Blinking Surface-enhanced Raman Scattering
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Observation and Analysis of Blinking Surface-enhanced Raman Scattering

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相关实验视频

Last Updated: Jun 11, 2025

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

Published on: July 3, 2020

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Decomposing the Variance in Reading Comprehension to Reveal the Unique and Common Effects of Language and Decoding
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Observation and Analysis of Blinking Surface-enhanced Raman Scattering
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Observation and Analysis of Blinking Surface-enhanced Raman Scattering

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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:

  • 传统的调查采样通常使用Sen-Yates-Grundy差异估计器,由于联合包含概率,其实施是复杂的.
  • 汉森-赫尔维茨 (与替代) 差异估计器在实践中通常使用,但在商业调查中可以高估大样本分数的差异.

研究的目的:

  • 审查Hájek差异估计器作为一个更准确和更实用的替代方案,用于不平等的概率采样,而无需替换.
  • 为Hájek估计器提出一个简化的表达式,使其与汉森-赫维茨估计器一样容易实现.
  • 为了证明使用标准统计包实现Hájek估计器的易用性.

主要方法:

  • 对Hájek (1964) 差异估计器的审查,重点关注其依赖第一阶包含概率.
  • 为Hájek差异估计器开发一个简化的替代表达式.
  • 使用标准统计软件进行实施演示.

主要成果:

  • 哈杰克差异估计器通常比汉森-赫尔维茨估计器更准确,特别是在大样本分数的情况下.
  • 为Hájek估计器提出了一个新的,简化的表达式,其复杂性与Hansen-Hurwitz估计器相比.
  • 哈杰克估计器可以很容易地实现在共同的统计数据包中.

结论:

  • 哈杰克差异估计器为估计不平等概率采样设计中的差异提供了更准确和实际可行的方法.
  • 它的简化形式和易于实施使其成为商业调查中具有大量抽样分数的有价值工具.