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assignmentutor-lab™ 为您的留学生涯保驾护航 在代写线性回归linear regression方面已经树立了自己的口碑, 保证靠谱, 高质且原创的统计Statistics代写服务。我们的专家在代写线性回归linear regression代写方面经验极为丰富，各种代写线性回归linear regression相关的作业也就用不着说。

• Statistical Inference 统计推断
• Statistical Computing 统计计算
• (Generalized) Linear Models 广义线性模型
• Statistical Machine Learning 统计机器学习
• Longitudinal Data Analysis 纵向数据分析
• Foundations of Data Science 数据科学基础

统计代写|线性回归代写linear regression代考|Two Way Anova

Definition 6.1. The fixed effects two way Anova model has two factors $A$ and $B$ plus a response $Y$. Factor $A$ has $a$ levels and factor $B$ has $b$ levels. There are $a b$ treatments.

Definition 6.2. The cell means model for two way Anova is $Y_{i j k}=$ $\mu_{i j}+e_{i j k}$ where $i=1, \ldots, a ; j=1, \ldots, b$; and $k=1, \ldots, m$. The sample size $n=a b m$. The $\mu_{i j}$ are constants and the $e_{i j k}$ are iid from a location family with mean 0 and variance $\sigma^2$. Hence the $Y_{i j k} \sim f\left(y-\mu_{i j}\right)$ come from a location family with location parameter $\mu_{i j}$. The fitted values are $\hat{Y}{i j k}=\bar{Y}{i j 0}=\hat{\mu}{i j}$ while the residuals $r{i j k}=Y_{i j k}-\hat{Y}_{i j k}$.

For one way Anova models, the cell sizes $n_i$ need not be equal. For $K$ way Anova models with $K \geq 2$ factors, the statistical theory is greatly simplified if all of the cell sizes are equal. Such designs are called balanced designs.
Definition 6.3. A balanced design has all of the cell sizes equal: for the two way Anova model, $n_{i j} \equiv m$.

In addition to randomization of units to treatments, another key principle of experimental design is factorial crossing. Factorial crossing allows for estimation of main effects and interactions.

统计代写|线性回归代写linear regression代考|Block DesignsA

Blocks are groups of similar units and blocking can yield experimental designs that are more efficient than designs that do not block. One way block designs and Latin square designs will be discussed.

Definition 7.1. A block is a group of $m k$ similar or homogeneous units. In a block design, each unit in a block is randomly assigned to one of $k$ treatments with each treatment getting $m$ units from the block. The meaning of “similar” is that the units are likely to have similar values of the response when given identical treatments.

In agriculture, adjacent plots of land are often used as blocks since adjacent plots tend to give similar yields. Litter mates, siblings, twins, time periods (e.g., different days), and batches of material are often used as blocks.

Following Cobb (1998, p. 247), there are 3 ways to get blocks. i) Sort units into groups (blocks) of $m k$ similar units. ii) Divide large chunks of material (blocks) into smaller pieces (units). iii) Reuse material or subjects (blocks) several times. Then the time slots are the units.

Example 7.1. For i), to study the effects of $k$ different medicines, sort $n=b k$ people into $b$ groups of size $k$ according to similar age and weight. For ii), suppose there are $b$ plots of land. Divide each plot into $k$ subplots. Then each plot is a block and the subplots are units. For iii), give the $k$ different treatments to each person over $k$ months. Then each person has a block of time slots and the $i$ th month $=$ time slot is the unit.

线性回归代写

7.1.

有限元方法代写

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MATLAB代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。

assignmentutor™您的专属作业导师
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