Publications by Mengyao Xin
Assignment #1 - Small Worlds and Large Worlds
2E1. Which of the expressions below correspond to the statement: the probability of rain on Monday? (1) Pr(rain) (2) Pr(rain|Monday) (3) Pr(Monday|rain) (4) Pr(rain, Monday)/ Pr(Monday) #(2)and(4) 2E2. Which of the following statements corresponds to the expression: Pr(Monday|rain)? (1) The probability of rain on Monday. (2) The probability of ra...
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Executive 1: Software Installation
For this semester, you have two options: Use your own computer. If you have an older machine, you are likely to have problems with some of the installation of packages. If you have a MacBook Air or other “mini” type machine, you will potentially find you do not have the space for the installed packages. I will help you troubleshoot during ...
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Correspondence Analysis
Load the libraries + functions Load all the libraries or functions that you will use to for the rest of the assignment. It is helpful to define your libraries and functions at the top of a report, so that others can know what they need for the report to compile correctly. ##r chunk library(ca) ## Warning: package 'ca' was built under R version 3...
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Assignment #3 - Geocentric Models
4E1. In the model definition below, which line is the likelihood? \[\begin{align} \ y_i ∼ Normal(μ, σ) \\ \ μ ∼ Normal(0, 10) \\ \ σ ∼ Exponential(1) \\ \end{align}\] #y_i ∼ Normal(μ, σ) 4E2. In the model definition just above, how many parameters are in the posterior distribution? #Two:μ and σ. 4E3. Using the model defini...
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Assignment #4 - The Many Variables & The Spurious Waffles
5E1. Which of the linear models below are multiple linear regressions? \[\begin{align} {μ_i = α + βx_i} \tag{1}\\ μ_i = β_xx_i + β_zz_i \tag{2} \\ μ_i = β_xx_i + β_zz_i \tag{3} \\ μ_i = α + β(x_i − z_i) \tag{4} \\ μ_i = α + β_xx_i + β_zz_i \tag{5} \\ \end{align}\] #Models 2, 3, and 4 are multiple regressions. 5E2...
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Cluster Analysis
Load the libraries + functions Load all the libraries or functions that you will use to for the rest of the assignment. It is helpful to define your libraries and functions at the top of a report, so that others can know what they need for the report to compile correctly. ##r chunk library(Rling) library(pvclust) ## Warning: package 'pvclust' w...
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