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# 统计作业代写Statistics代考|The Multilevel LRM

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• Date Analysis数据分析
• Actuarial Science 精算科学
• Bayesian Statistics 贝叶斯统计
• Generalized Linear Model 广义线性模型
• Macroeconomic statistics 宏观统计学
• Microeconomic statistics 微观统计学
• Logistic regression 逻辑回归
• linear regression 线性回归

## 统计作业代写Statistics代考|treport average

In general, then, we may obtain answers to the following questions with multilevel LRMs:

1. Do the mean levels of the outcome variable (e.g., income) differ across the level-2 units (e.g., the towns)?
2. Do the linear associations between the explanatory variable (e.g., male vs. female) and the outcome variable (e.g., income) differ across the level-2 units (e.g., the towns)?
Before trying to answer these questions with the MultiLevel dataset, though, consider Equation $15.5$ that represents a single-level LRM that does not take the multilevel structure of the data into account.
$$\widehat{\text { income }}=3.99+0.83(\text { male })$$
We may claim that, on average, males report higher incomes than females. Females report average incomes of about $3.99$ units, whereas males report average incomes about $0.83$ units higher $\left(\bar{x}_{\text {males }}=4.82\right)$. But, again, this is an overall effect that does not take into account differences across the towns.

## 统计作业代写STATISTICS代考|random-slope

Consider first that the average intercept-or predicted income for females-is about 4.0. Males, on average, report about $0.8$ units more income than do females. As shown by the variance of the intercept in the Random effects panel of the output, however, the intercept-average income among females-varies across the towns $\left(\sigma_{u}^{2}=0.16\right)$. The ICC (rho) computed from the multilevel model in LRM15.2 is displayed in Equation 15.6.
$$\operatorname{ICC}(\rho)=\frac{0.16}{(0.16+4.12)}=0.037$$
The model estimates only whether variability exists in the intercepts across the towns, however. The slope coefficient is a fixed effect, which means that, in this model, it does not vary across the level-2 units. Another way to interpret this is that the average income difference between females and males is presumed to be constant across the towns. A more interesting model, though, examines whether the slopes also vary randomly. Thus, LRM15.3 estimates a random-slope model or a random-coefficients model since both the intercept and slope coefficient are presumed to vary across towns.

## 统计作业代写STATISTICS代考|TREPORT AVERAGE

1. 结果变量（例如，收入）的平均水平在 2 级单位（例如，城镇）之间是否不同？
2. 解释变量（例如，男性与女性）和结果变量（例如，收入）之间的线性关联在 2 级单位（例如，城镇）中是否不同？
不过，在尝试使用 MultiLevel 数据集回答这些问题之前，请考虑方程式15.5表示未考虑数据的多级结构的单级 LRM。
收入 ^=3.99+0.83( 男性 )
我们可以声称，平均而言，男性报告的收入高于女性。女性报告的平均收入约为3.99单位，而男性报告的平均收入约为0.83更高的单位(X¯男性 =4.82). 但是，同样，这是一个整体效应，没有考虑到城镇之间的差异。

## matlab代写

MATLAB是一个编程和数值计算平台，被数百万工程师和科学家用来分析数据、开发算法和创建模型。

MATLAB is a programming and numeric computing platform used by millions of engineers and scientists to analyze data, develop algorithms, and create models.