Publications by Kanthi Thuta
Assignment #4
5E1. Which of the linear models below are multiple linear regressions? \[\begin{align} {μ_i = α + βx_i} \tag{1}\\ μ_i = β_xx_i + β_zz_i \tag{2} \\ μ_i = α + β(x_i − z_i) \tag{3} \\ μ_i = α + β_xx_i + β_zz_i \tag{4} \\ \end{align}\] #Model 1 --> has only one predictor xi --> not a multiple regression #Model 2 --> has...
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9E1. Which of the following is a requirement of the simple Metropolis algorithm? The parameters must be discrete. The likelihood function must be Gaussian. The proposal distribution must be symmetric. #3. The proposal distribution must be symmetric. 9E2. Gibbs sampling is more efficient than the Metropolis algorithm. How does it achieve this ex...
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Assignment #9
11E1. If an event has probability 0.35, what are the log-odds of this event? p <- 0.35 p/(1-p) ## [1] 0.5384615 11E2. If an event has log-odds 3.2, what is the probability of this event? lo <- 3.2 lo/(1+lo) ## [1] 0.7619048 11E3. Suppose that a coefficient in a logistic regression has value 1.7. What does this imply about the proportional chang...
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ANLY 505 - Assignment #5
6E1. List three mechanisms by which multiple regression can produce false inferences about causal effects. ##multicollinearity ##post-treatment bias ##collider bias 6E2. For one of the mechanisms in the previous problem, provide an example of your choice, perhaps from your own research. ## I would like to share an example of multi collinearity ...
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Assignment #6 - Kanthi Thuta
7E1. State the three motivating criteria that define information entropy. Try to express each in your own words. #Motivating criteria for defining information entropy #1) should be measured with a continuous scale which the spacing between adjacent values is consistent #2) capture the size of the possibility space is the value scales with the n...
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Assignment-7
8E1. For each of the causal relationships below, name a hypothetical third variable that would lead to an interaction effect: Bread dough rises because of yeast. Education leads to higher income. Gasoline makes a car go. #1. Yeast is inactive below 40∘F and dies above 130∘F,so temperature is the third variable which will interact with the r...
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