基于地理加权多变量通用性马回归的空间聚类.
Hasbi Yasin1,2, Purhadi1, Achmad Choiruddin1
1Department of Statistics, Institut Teknologi Sepuluh Nopember, Surabaya 60111 Indonesia.
MethodsX
|September 5, 2024
概括
本研究引入了一种新的地理加权多变量通用玛回归 (GWMGGR) 模型,以解决数据中的空间异质性,克服传统GWR模型的正常性假设.
科学领域:
- 空间统计的空间统计.
- 统计建模 统计建模
- 计量经济学 计量经济学
背景情况:
- 地理加权回归 (GWR) 模拟空间异质性,但假设正常误差.
- 现有的GWR模型对于非正常分布的数据是有限的.
- 多变量连续数据通常表现为非正常分布.
研究的目的:
- 提出一个新的地理加权多变量通用玛回归 (GWMGGR) 模型.
- 扩展GWR以处理多变量通用性玛分布式反应.
- 克服传统GWR中错误的正常性假设.
主要方法:
- 开发了通用玛分布式反应的GWMGGR模型.
- 使用BHHH算法进行参数估计的最大概率估计 (MLE).
- 使用最大概率比率测试 (MLRT) 来测试空间效应的假设.
- 应用k-means集群用于模型参数的空间解释.
主要成果:
- GWMGGR模型有效地捕捉了非正常分布数据的空间异质性.
- 大型空间效应测试 (MLRT) 证实了空间效应在拟议模型中的重要性.
- 空间聚类揭示了中爪教育指标中明显的模式.
结论:
- 对于非正常数据,GWMGGR模型为标准GWR提供了一个灵活的替代方案.
- 该方法在多变量设置中提供了空间异质性的强有力的分析.
- 该研究展示了GWMGGR在分析区域教育差异方面的实际应用.
相关概念视频
Cluster Sampling Method
11.8K
Appropriate sampling methods ensure that samples are drawn without bias and accurately represent the population. Because measuring the entire population in a study is not practical, researchers use samples to represent the population of interest.
To choose a cluster sample, divide the population into clusters (groups) and then randomly select some of the clusters. All the members from these clusters are in the cluster sample. For example, if you randomly sample four departments from your...
To choose a cluster sample, divide the population into clusters (groups) and then randomly select some of the clusters. All the members from these clusters are in the cluster sample. For example, if you randomly sample four departments from your...
11.8K
Selected Data About Geographic Locations
27
Geographic Information Systems (GIS) rely on two core types of data: spatial data and attribute data.Spatial DataSpatial data defines the physical location of features within a coordinate system, typically expressed in terms of latitude and longitude. It provides precise positioning for elements like roads, rivers, or buildings.Attribute DataAttribute data complements spatial data by adding descriptive information about these features. For example, a road's spatial data includes its start and...
27
Scatter Plot
6.8K
The most common and easiest way to display the relationship between two variables, x and y, is a scatter plot. A scatter plot shows the direction of a relationship between the variables. A clear direction happens when there is either:
6.8K
Distribution and Dispersion
21.6K
To understand intra-specific interactions in populations, scientists measure the spatial arrangement of species individuals. This geographic arrangement is known as the species distribution or dispersion. Highly territorial species exhibit a uniform distribution pattern, in which individuals are spaced at relatively equal distances from one another. Species that are highly tied to particular resources, such as food or shelter, tend to concentrate around those resources, and thus exhibit a...
21.6K
Multicompartment Models: Overview
113
Multicompartment models are mathematical constructs that depict how drugs are distributed and eliminated within the body. They segment the body into several compartments, symbolizing various physiological or anatomical areas connected through drug transfer processes such as absorption, metabolism, distribution, and elimination.
These models offer a more comprehensive representation of drug behavior in the body than one-compartment models. They accommodate the complexity of drug distribution,...
These models offer a more comprehensive representation of drug behavior in the body than one-compartment models. They accommodate the complexity of drug distribution,...
113
Multiple Regression
3.0K
Multiple regression assesses a linear relationship between one response or dependent variable and two or more independent variables. It has many practical applications.
Farmers can use multiple regression to determine the crop yield based on more than one factor, such as water availability, fertilizer, soil properties, etc. Here, the crop yield is the response or dependent variable as it depends on the other independent variables. The analysis requires the construction of a scatter plot...
Farmers can use multiple regression to determine the crop yield based on more than one factor, such as water availability, fertilizer, soil properties, etc. Here, the crop yield is the response or dependent variable as it depends on the other independent variables. The analysis requires the construction of a scatter plot...
3.0K


