在空间错误模型中检测异常值,使用修改的基于值的代程序进行异常值检测方法
Jiaxin Cai1, Weiwei Hu1, Yuhui Yang1
1Department of Epidemiology and Biostatistics, School of Public Health, Xi'an Jiaotong University Health Science Center, No. 76, Yanta Xilu Road, Xi'an, 710061, Shaanxi, China.
BMC medical research methodology
|April 15, 2024
概括
我们开发了异常值检测的空间-Θ-代程序 (Spatial-Θ-IPOD),以有效地识别空间误差模型 (SEM) 中的空间异常值. 我们的方法提供了可靠的系数估计,并优于现有的方法,即使具有高杆点.
科学领域:
- 空间统计的空间统计.
- 数据分析数据分析
- 地质统计学 在地质统计学
背景情况:
- 异常值显著影响统计推断和数据分析.
- 现有的异常值检测方法往往忽视空间数据中的空间依赖性和异质性.
- 在空间错误模型 (SEM) 下,强大的空间异常值检测方法尚未得到充分探索.
研究的目的:
- 在SEM框架内引入一种用于空间异常值检测的新方法.
- 开发一个程序,提供可靠的系数估计,并与异常值的识别.
- 评估拟议方法的性能与现有技术相比.
主要方法:
- 异常值检测的空间-Θ-代过程 (空间-Θ-IPOD) 使用平均移向量来识别异常值.
- 该方法旨在在空间错误模型 (SEM) 中运行.
- 通过广泛的模拟和使用预期寿命数据的真实实验研究来评估性能.
主要成果:
- 与常用的方法相比,空间-Θ-IPOD在掩盖和关节检测指标方面表现优异,即使在高维设置中.
- 非空间 Θ-IPOD 方法在空间相关性方面是无效的.
- 提出的方法始终提供可靠的系数估计,并在大多数场景中表现优于其他模型.
结论:
- 空间-Θ-IPOD有效地检测SEM中的空间异常值,并产生可靠的系数估计.
- 该方法显示优越性,特别是在高杆点的情况下.
- 准确识别异常值可以提高数据理解和分析洞察力.
相关概念视频
Detection of Gross Error: The Q Test
6.1K
When one or more data points appear far from the rest of the data, there is a need to determine whether they are outliers and whether they should be eliminated from the data set to ensure an accurate representation of the measured value. In many cases, outliers arise from gross errors (or human errors) and do not accurately reflect the underlying phenomenon. In some cases, however, these apparent outliers reflect true phenomenological differences. In these cases, we can use statistical methods...
6.1K
Quantifying and Rejecting Outliers: The Grubbs Test
1.6K
Sometimes, a data set can have a recorded numerical observation that greatly deviates from the rest of the data. Assuming that the data is normally distributed, a statistical method called the Grubbs test can be used to determine whether the observation is truly an outlier. To perform a two-tailed Grubbs test, first, calculate the absolute difference between the outlier and the mean. Then, calculate the ratio between this difference and the standard deviation of the sample. This...
1.6K
What Are Outliers?
3.8K
Outliers are observed data points that are far from the least squares line. They have unusual values and need to be examined carefully. Though an outlier may result from erroneous data, at other times, it may hold valuable information about the population under study and should be included in the data. Hence, it is crucial to examine what causes a data point to be an outlier.
The z score is used to find outliers or unusual values. It should be noted that any values beyond -2 and +2 are...
The z score is used to find outliers or unusual values. It should be noted that any values beyond -2 and +2 are...
3.8K
Outliers and Influential Points
4.0K
An outlier is an observation of data that does not fit the rest of the data. It is sometimes called an extreme value. When you graph an outlier, it will appear not to fit the pattern of the graph. Some outliers are due to mistakes (for example, writing down 50 instead of 500), while others may indicate that something unusual is happening. Outliers are present far from the least squares line in the vertical direction. They have large "errors," where the "error" or residual is the...
4.0K
Modified Boxplots
9.6K
A standard box and whisker plot informs us about the spread of the data in a given sample. One can identify the minimum value, maximum value, first quartile value, second quartile or median value, and third quartile.
However, the box plot does not tell the reader about outliers - values that lie far from the center of the data. We can modify the standard box and whisker plot to identify the outliers and visualize the actual spread of the data in a sample.
Initially, we calculate the adjusted...
However, the box plot does not tell the reader about outliers - values that lie far from the center of the data. We can modify the standard box and whisker plot to identify the outliers and visualize the actual spread of the data in a sample.
Initially, we calculate the adjusted...
9.6K
Trimmed Mean
2.9K
While measuring the mean of a data set, care needs to be taken when associating the mean to its central tendency. The same goes for the arithmetic mean, the geometric mean, or the harmonic mean. This is because the presence of a single outlier data value can significantly affect the mean. That is, the mean is sensitive to fluctuations in the data set.
Although certain measures of central tendency are not sensitive to outliers, there are alternative versions of the mean that get around the...
Although certain measures of central tendency are not sensitive to outliers, there are alternative versions of the mean that get around the...
2.9K


