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相关概念视频

Probability Distributions01:32

Probability Distributions

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 The probability of a random variable x  is the likelihood of its occurrence. A probability distribution represents the probabilities of a random variable using a formula, graph, or table. There are two types of probability distribution– discrete probability distribution and continuous probability distribution.
A discrete probability distribution is a probability distribution of discrete random variables. It can be categorized into binomial probability distribution and Poisson...
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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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Poisson Probability Distribution01:09

Poisson Probability Distribution

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A Poisson probability distribution is a discrete probability distribution. It gives the probability of a number of events occurring in a fixed interval of time or space if these events happen at a known average rate and independently of the time since the last event. For example, a book editor might be interested in the number of words spelled incorrectly in a particular book. It might be that, on average, there are five words spelled incorrectly in 100 pages. The interval is 100 pages.
The...
11.5K
Binomial Probability Distribution01:15

Binomial Probability Distribution

15.1K
A binomial distribution is a probability distribution for a procedure with a fixed number of trials, where each trial can have only two outcomes.
The outcomes of a binomial experiment fit a binomial probability distribution. A statistical experiment can be classified as a binomial experiment if the following conditions are met:
There are a fixed number of trials. Think of trials as repetitions of an experiment. The letter n denotes the number of trials.
There are only two possible outcomes,...
15.1K
Second Derivatives and Laplace Operator01:22

Second Derivatives and Laplace Operator

2.6K
The first order operators using the del operator include the gradient, divergence and curl. Certain combinations of first order operators on a scalar or vector function yield second order expressions. Second-order expressions play a very important role in mathematics and physics. Some second order expressions include the divergence and curl of a gradient function, the divergence and curl of a curl function, and the gradient of a divergence function.
Consider a scalar function. The curl of its...
2.6K
Probability in Statistics01:14

Probability in Statistics

21.9K
Probability is the likelihood of an event occurring. The term event is defined as a collection of results of a procedure. An event is a simple event when an outcome cannot be divided into simpler parts.
An example of a simple event is a coin toss. The result of a coin toss is either a head or a tail. Here, head and tail are two simple events. These two simple events make up the sample space. Further, the probability of an event occurring falls within the range of 0 to 1. The probability of an...
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相关实验视频

Updated: Jan 6, 2026

A Tactile Automated Passive-Finger Stimulator TAPS
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A Tactile Automated Passive-Finger Stimulator TAPS

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揭开后代分布的奥秘:关于它们的推导的教程

Han Du1, Fang Liu2, Zhiyong Zhang3

  • 1Department of Psychology, University of California, Los Angeles, Los Angeles, CA, USA.

Multivariate behavioral research
|November 22, 2025
PubMed
概括
此摘要是机器生成的。

本教程提供了一个逐步指南,用于导出贝叶斯统计中的后置分布. 它为缺乏高级数学背景的研究人员简化了复杂的概念,涵盖单变量和多层模型.

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A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
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Creating Objects and Object Categories for Studying Perception and Perceptual Learning
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相关实验视频

Last Updated: Jan 6, 2026

A Tactile Automated Passive-Finger Stimulator TAPS
19:44

A Tactile Automated Passive-Finger Stimulator TAPS

Published on: June 3, 2009

14.1K
A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
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A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments

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Creating Objects and Object Categories for Studying Perception and Perceptual Learning
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科学领域:

  • 统计 统计 统计 统计
  • 计算统计学 计算统计学

背景情况:

  • 贝叶斯统计学越来越多地在各个学科中使用.
  • 教科书往往缺乏后置分布的详细推导,假设先进的数学知识.
  • 这对没有广泛的线性代数和概率理论培训的研究人员来说是一个障碍.

研究的目的:

  • 为了提供一个可访问的,逐步教程来推导后面分布.
  • 为了弥合理论贝叶斯统计与实际应用之间的差距.
  • 为更广泛的受众揭穿先进的统计概念.

主要方法:

  • 对两个模型的后部分布的详细推导:单变量正常和多级.
  • 有代码和分析形式的说明性示例.
  • 专注于实际的,逐步的解释.

主要成果:

  • 对单变量正常模型的后向分布推导的证明.
  • 对于多层模型的后部分布推导的解释.
  • 适用于各种统计模型和分布的可通用原则.

结论:

  • 该教程成功地简化了导出后方分布的过程.
  • 它增强了贝叶斯统计方法的可访问性,为具有不同数学背景的研究人员提供.
  • 提出的方法和概念在讨论的具体模型之外广泛适用.