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The data can be obtained from the book site. :). Python code for Computer Age Statistical Inference by Bradley Efron and Trevor Hastie. L(x) = \frac{\left(\frac{1}{\sqrt{2\pi\sigma^2}}\right)^n e^{-\frac{\sum_{i = 1}^{n} \left(x_i-\mu_1\right)^2}{2\sigma^2}}}{\left(\frac{1}{\sqrt{2\pi\sigma^2}}\right)^n e^{-\frac{\sum_{i = 1}^{n} \left(x_i-\mu_0\right)^2}{2\sigma^2}}} This question hasn't been answered yet Ask an expert. Section 4.4: Figure 4.3. Show transcribed image text. In fact, orthogonal polynomials are used. how to get the critical region for a uniformly most powerful test for mean of normal? $$,$$ \beta = \text{Pr}_{f_1} \left\{\text{z-score} \lt \frac{k - \mu_1}{\frac{\sigma}{\sqrt{n}}}\right\} \enspace \enspace \text{ where } k = \frac{c\sigma^2}{n\left(\mu_1-\mu_0\right)} + \frac{\left(\mu_1+\mu_0\right)}{2} Thanks. end-of-world/alien invasion of NYC story. $$,$$ $$,$$ download the GitHub extension for Visual Studio, Section 2.1: I get slightly different values for Table 2.1, Section 6.2, Table 6.3: I get different values for $\hat{sd}$. f_0 \sim \mathcal{N} \left(0,1\right) $$,$$ It only takes a minute to sign up. Python code for Computer Age Statistical Inference by Bradley Efron and Trevor Hastie. $$,$$ $$In short, I still need help figuring out what might be wrong in my calculations. Reproduce figure of “Computer Age Statistical Inference” from Efron and Hastie, “Question closed” notifications experiment results and graduation, MAINTENANCE WARNING: Possible downtime early morning Dec 2/4/9 UTC (8:30PM…. Learn more, We use analytics cookies to understand how you use our websites so we can make them better, e.g.$$, $$Section 7.2: I think eq 7.23 should actually be \displaystyle \hat{p}^{\text JS}_i = \frac{1}{n}\left[(n + 0.75) \sin^2 \left(\frac{\hat{\mu}^{\text JS}_i}{2 \sqrt{n + 0.5}}\right) - 0.375 \right] , Section 7.4: Eq 7.46 is missing "1/1000", i.e., it isn't taking the mean, The data page says the values in the galaxy dataset are log-redshift, but they are likely log-log-redshift, if 1.22 \leq r \leq 3.32 as equation 8.38 says, Equation 8.38 says 17.2 \leq m \leq 21.5, but the y-axis on figure 8.5 shows negative values, approximately -21 \leq m \leq -17, Section 10.4, pg 171: Equation 10.55 might give the impression that the powers of the bin counts are used in the model (i.e., that the \hat{\beta} values are coefficients from the model). \frac{2\left(\mu_1-\mu_0\right)\sum_{i = 1}^{n}x_i + n\left(\mu_0^2-\mu_1^2\right)}{2\sigma^2} \ge c Section 8.1: Figure 8.2, Table 8.1, and Table 8.2. Python code for Computer Age Statistical Inference. Cambridge: Cambridge University Press. Learn more. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Bayes Factor and likelihood for two sample from different distributions? For f_0 \sim \mathcal{N} \left(0,1\right), \enspace f_1 \sim \mathcal{N} \left(0.5,1\right), and sample size n=10 what would be the values for \alpha and \beta for a cutoff c=0.4? Asking for help, clarification, or responding to other answers. If nothing happens, download GitHub Desktop and try again.$$. they're used to log you in. Convert x y coordinates (EPSG 102002, GRS 80) to latitude (EPSG 4326 WGS84). See. $$,$$ $$,$$ Computer Age Statistical Inference: Algorithms, Evidence, and Data Science. Section 9.3: Table 9.4? The notebooks assume that the data has been saved in a data/ subdirectory. \sum_{i = 1}^{n}x_i \ge \frac{2c\sigma^2 - n\left(\mu_0^2-\mu_1^2\right)}{2\left(\mu_1-\mu_0\right)} $$,$$ Cambridge: Cambridge University Press.). See, Section 20.1, pg 396: The book says that "X has been standardized so that each of its columns has mean 0 and sum of squares 1", but in fact I think it has been standardized so that standard deviation is 1, not sum of squares; see, pg 402: The book cites equation 12.51 for the Cp estimates, but unlike (12.51), the values in Table 20.2 were not divided by the number of observations; see, pg 404, 4th line: very minor typo: change "carred" to "carried", Section 20.4, pg 415: Equation (20.54), the $\beta$ should probably have a superscript $(b)$, Section 8.4: Figure 8.7 doesn't completely match the book, Section 10.5: Infinitesimal jackknife / influence function s.e. Still trying to understand the difference between the results of my simulation (alpha_simulation(. Hi @whuber, thank you for your suggestion! To subscribe to this RSS feed, copy and paste this URL into your RSS reader. Learn more. GitHub is home to over 50 million developers working together to host and review code, manage projects, and build software together. they're used to gather information about the pages you visit and how many clicks you need to accomplish a task. $$,$$ For chapters 1-10 and 20, here is a list of things to stay away from. Section 7.2: entire section. To learn more, see our tips on writing great answers. How to calculate the very special orbit of 2020 SO. Este repositório concentra os experimentos de implementação em Python para ajudar a consolidar os aprendizados relacionados ao estudo do livro: (Livro) Efron, B., & Hastie, T. (2016). Thanks. \alpha = \text{Pr}_{f_0} \left\{\text{z-score} \ge \frac{k - \mu_0}{\frac{\sigma}{\sqrt{n}}}\right\} \enspace \enspace \text{ where } k = \frac{c\sigma^2}{n\left(\mu_1-\mu_0\right)} + \frac{\left(\mu_1+\mu_0\right)}{2} We use optional third-party analytics cookies to understand how you use GitHub.com so we can build better products. (whose the full Python code is available in this question) I got $\alpha=0.10$ and $\beta=0.38$ for a cutoff $c=0.75$ as a confirmation that my code is correct. For Computer Age Statistical Inference by Bradley Efron and Trevor Hastie jupyter notebook together. Developers working together to host and review code, manage projects, and data Science to understand the between. Is $\hat { B }$ missing a $\sigma^2$ build... Section 7.3: sd values in Table 7.3 y coordinates ( EPSG 4326 ). Sao Paulo blue coated and identified by a  P '', manage projects, and data Science use or... 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