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相关概念视频

Prediction Intervals01:03

Prediction Intervals

2.3K
The interval estimate of any variable is known as the prediction interval. It helps decide if a point estimate is dependable.
However, the point estimate is most likely not the exact value of the population parameter, but close to it. After calculating point estimates, we construct interval estimates, called confidence intervals or prediction intervals. This prediction interval comprises a range of values unlike the point estimate and is a better predictor of the observed sample value, y. 
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Multi-input and Multi-variable systems01:22

Multi-input and Multi-variable systems

106
Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
In the absence...
106
Multiple Regression01:25

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...
3.0K
Regression Analysis01:11

Regression Analysis

5.7K
Regression analysis is a statistical tool that describes a mathematical relationship between a dependent variable and one or more independent variables.
In regression analysis, a regression equation is determined based on the line of best fit– a line that best fits the data points plotted in a graph. This line is also called the regression line. The algebraic equation for the regression line is called the regression equation. It is represented as:
5.7K
Bootstrapping01:24

Bootstrapping

608
The term "bootstrap" originated in the 19th century as a metaphor for self-improvement or achieving something independently, without external assistance. This concept extends to statistical bootstrapping, a self-contained method for estimating population parameters through resampling, even though it can be computationally intensive. Developed by the American statistician Dr. Bradley Efron in 1979, bootstrapping provides a robust way to perform inference when the original sample size is...
608
One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation01:24

One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation

515
This lesson introduces two critical methods in pharmacokinetics, the Wagner-Nelson and Loo-Riegelman methods, used for estimating the absorption rate constant (ka) for drugs administered via non-intravenous routes. The Wagner-Nelson method relates ka to the plasma concentration derived from the slope of a semilog percent unabsorbed time plot. However, it is limited to drugs with one-compartment kinetics and can be impacted by factors like gastrointestinal motility or enzymatic degradation.
On...
515

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相关实验视频

Updated: Jul 8, 2025

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline
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Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline

Published on: December 7, 2021

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快速网格搜索和基于bootstrap的推理,用于连续的双相多项式回归模型.

Hyunju Son1, Youyi Fong1

  • 1Department of Biostatistics, University of Washington Vaccine and Infectious Disease Division, Fred Hutchinson Cancer Research Center Seattle WA 98109, USA.

Environmetrics
|December 18, 2023
PubMed
概括
此摘要是机器生成的。

本研究介绍了快速网格搜索算法,用于估计二相多项式回归模型,提高计算效率. 研究还开发了平均函数的置信带,增强了对非线性关系的统计推理.

关键词:
非线性回归是一种非线性回归.四位数-线性模型的二位数-线性模型.二次方格-二次方格模型分段回归的细分回归方法同时可信度带的同时使用.

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Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
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相关实验视频

Last Updated: Jul 8, 2025

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline
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Author Spotlight: Efficient Image Recognition Using Directional Gradient Histogram Technique and Support Vector Machines
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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

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科学领域:

  • 统计 统计 统计 统计
  • 应用数学 应用数学 应用数学
  • 生态生态学 生态生态学
  • 公共卫生 公共卫生

背景情况:

  • 双相多项式回归模型对于模拟各种应用领域的非线性关系至关重要.
  • 这些模型在平均函数变化时具有估计的值参数,使其与分线模型不同.
  • 估计这些模型提出了一个非凸起的,非光滑的优化挑战,通常需要慢慢的粗武力网格搜索.

研究的目的:

  • 开发计算效率高的算法,用于估计二相多项式回归模型.
  • 引入基于引导的信任带,以改善对平均函数的统计推理.
  • 用模拟和现实世界的数据来证明拟议的方法的性能和实用性.

主要方法:

  • 开发适用于双相多项式回归的快速网格搜索算法.
  • 启动方法的实施,用于构建点向和同时的置信带.
  • 进行蒙特卡洛模拟以评估计算和统计属性.
  • 应用到三个真实数据集,专注于模型选择.

主要成果:

  • 拟议的快速网格搜索算法显著提高了对二相多项式回归模型的估计速度.
  • 基于bootstrap的置信带为平均函数提供可靠的点向和同时间隔.
  • 模拟证实了开发方法的计算效率和统计准确性.
  • 真实数据示例说明了实际应用和模型选择考虑因素.

结论:

  • 开发的快速网格搜索算法为估计双相多项式回归模型提供了实用解决方案.
  • 引导式信心带增强了这些模型的推断能力.
  • 这些方法在计算上是高效的,在统计学上是合理的,在应用研究中已被证明是有用的.