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相关概念视频

Accuracy and Errors in Hypothesis Testing01:13

Accuracy and Errors in Hypothesis Testing

203
Hypothesis testing is a fundamental statistical tool that begins with the assumption that the null hypothesis H0 is true. During this process, two types of errors can occur: Type I and Type II. A Type I error refers to the incorrect rejection of a true null hypothesis, while a Type II error involves the failure to reject a false null hypothesis.
In hypothesis testing, the probability of making a Type I error, denoted as α, is commonly set at 0.05. This significance level indicates a 5%...
203
Errors In Hypothesis Tests01:14

Errors In Hypothesis Tests

4.2K
When performing a hypothesis test, there are four possible outcomes depending on the actual truth (or falseness) of the null hypothesis and the decision to reject or not.
4.2K
Types of Hypothesis Testing01:11

Types of Hypothesis Testing

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There are three types of hypothesis tests: right-tailed, left-tailed, and two-tailed.
When the null and alternative hypotheses are stated, it is observed that the null hypothesis is a neutral statement against which the alternative hypothesis is tested. The alternative hypothesis is a claim that instead has a certain direction. If the null hypothesis claims that p = 0.5, the alternative hypothesis would be an opposing statement to this and can be put either p > 0.5, p < 0.5, or p...
26.5K
Null and Alternative Hypotheses01:16

Null and Alternative Hypotheses

8.3K
The actual hypothesis testing begins by considering two hypotheses. They are termed  the null hypothesis and the alternative hypothesis. These hypotheses contain opposing viewpoints.
The null hypothesis, denoted by H0 is a statement of no difference between the variables—they are not related. This can often be considered the status quo. As  a result if you cannot accept the null, it requires some action.
The alternative hypothesis, denoted by H1 or Ha, is a claim about the...
8.3K
Decision Making: Traditional Method01:14

Decision Making: Traditional Method

4.0K
The process of hypothesis testing based on the traditional method includes calculating the critical value, testing the value of the test statistic using the sample data, and interpreting these values.
First, a specific claim about the population parameter is decided based on the research question and is stated in a simple form. Further, an opposing statement to this claim is also stated. These statements can act as null and alternative hypotheses, out of which a null hypothesis would be a...
4.0K
Testing a Claim about Standard Deviation01:19

Testing a Claim about Standard Deviation

2.5K
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...
2.5K

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相关实验视频

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Rare Event Detection Using Error-corrected DNA and RNA Sequencing
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关于基于类型的分布式假设测试的最佳误差指数.

Xinyi Tong1, Xiangxiang Xu2, Shao-Lun Huang2

  • 1Tsinghua-Berkeley Shenzhen Institute, Shenzhen 518055, China.

Entropy (Basel, Switzerland)
|October 28, 2023
PubMed
概括
此摘要是机器生成的。

这项研究优化了用于联合学习的分布式假设测试 (DHT). 我们为无声和AWGN频道提供编码策略和决策规则,实现最佳错误指数.

关键词:
分布式系统分布式系统.假设测试 测试 假设测试信息理论信息理论当地几何局部几何学

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科学领域:

  • 信息理论 信息理论
  • 分布式系统 分布式系统
  • 机器学习 机器学习

背景情况:

  • 分布式假设测试 (DHT) 对于联合学习至关重要.
  • 在DHT中编码策略的信息理论优化是具有挑战性的.
  • 基于类型的设置与联合学习方法有关.

研究的目的:

  • 解决DHT中的编码策略的信息理论最佳性.
  • 在基于类型的设置下研究DHT,用于联合学习.
  • 在无声和AWGN频道上分析DHT.

主要方法:

  • 调查DHT通过无声频道与i.i.d.进行了调查. 样品. 样品. 这些样品.
  • 分析了DHT在AWGN频道上的经验分布函数.
  • 获得了最佳误差指数的可实现性和转换结果.
  • 开发了相应的编码策略和决策规则.

主要成果:

  • 呈现了无噪声和AWGN通道模型的最佳误差指数.
  • 建立了DHT的可实现性和反向边界.
  • 提供实用的编码策略和决策规则.

结论:

  • 这些发现为分布式系统提供了编码指南.
  • 结果提高了对DHT的理解和应用.
  • 在更复杂的分布式机器学习问题中潜在的应用.