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- 18:11, 5 May 2013
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**(+1,118)** N Travis: Segment 33 (Created page with "====To Calculate==== <b>1. How many distinct m by n contingency tables are there that have exactly N total events?</b> I'm not sure how to simplify this expression, but I wor...") (current) - 12:42, 5 May 2013
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**(+2,540)** N Travis: Segment 39 (Created page with "===To Calculate=== <b> 1. Suppose the domain of a model are the five integers <math>x = \{1,2,3,4,5\}</math>, and that your proposal distribution is: "When <math>x_1 = 2,3,4<...") (current) - 12:41, 5 May 2013 (diff | hist) (0) N File:39.jpg (current)
- 11:44, 30 April 2013 (diff | hist) (+110) Main Page
- 11:44, 30 April 2013 (diff | hist) (+26) When and Where?
- 11:41, 30 April 2013 (diff | hist) (+246) N When and Where? (Created page with "Let's meet Saturday and Sunday at 1:00 pm on the 4th floor of GDC (the new computer science building). Feel free to leave your contact information below so we can communicate ...")
- 11:33, 30 April 2013 (diff | hist) (0) N File:Review.jpg (current)
- 11:32, 29 April 2013
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**(+1,566)** N Travis: Segment 40 (Created page with "====To Calculate==== 1. The file twoexondata.txt has 3000 pairs of (first, second) exon lengths. Choose 600 of the first exon lengths at random. T...") (current) - 11:27, 29 April 2013
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**(+1,660)** N Travis: Segment 41 (Created page with "====To Calculate==== <b>1. Show that the waiting times (times between events) in a Poisson process are Exponentially distributed. (I think we've done this before.)</b> <mat...") (current) - 15:26, 26 April 2013
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**(+2,522)** User:Trettels:Session 40 - 26APR (current) - 14:28, 22 April 2013 (diff | hist) (+5) Exam Sign-Up (2013)
- 13:18, 22 April 2013
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**(+736)** N Travis: Segment 34 (Created page with "====To Calculate==== <b>1. Use the permutation test to decide whether the contingency table <math> \begin{bmatrix} 5 & 3 & 2\\ 2 & 3 & 6 \\ 0 & 2 & 3 \end{bmatrix}</math> sho...") (current) - 11:36, 22 April 2013
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**(+1,234)** Travis: Segment 18 (current) - 11:11, 22 April 2013
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**(+862)** Travis: Segment 18 - 08:58, 18 April 2013
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**(+1,604)** N Travis: Segment 28 (Created page with "====To Calculate==== <b>1. Draw a sample of 100 points from the uniform distribution <math>U(0,1)</math>. This is your data set. Fit GMM models to your sample (now considere...") (current) - 08:57, 18 April 2013
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**(+1,218)** N Travis: Segment 27 (Created page with "====To Calculate==== The file Media:Mixturevals.txt contains 1000 values, each drawn either with probability <math>c</math> from the distribution <math>\text{Exponential}(...") (current) - 08:56, 18 April 2013
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**(+2,246)** N Travis: Segment 24 (Created page with "====To Calculate==== <b>1. Let <math>X</math> be an R.V. that is a linear combination (with known, fixed coefficients <math>\alpha_k</math>) of twenty <math>N(0,1)</math> devi...") (current) - 14:14, 1 April 2013 (diff | hist) (+351) Travis: Segment 23 (current)
- 14:07, 1 April 2013 (diff | hist) (0) N File:Betahistogram.png (current)
- 14:00, 1 April 2013 (diff | hist) (0) N File:BetaBootstrap.png (current)
- 12:48, 1 April 2013
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**(+910)** N Travis: Segment 22 (Created page with "====To Compute==== <b>1. In lecture slide 3, suppose (for some perverse reason) we were interested in a quantity <math>f = b_3/b_5</math> instead of <math>f = b_3b_5</math>. ...") (current) - 12:47, 1 April 2013
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**(+1,056)** N Travis: Segment 21 (Created page with "====To Calculate==== <b>1. Consider a 2-dimensional multivariate normal distribution of the random variable <math>(b_1,b_2)</math> with 2-vector mean <math>(\mu_1,\mu_2)</mat...") (current) - 12:46, 1 April 2013
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**(+1,348)** N Travis: Segment 20 (Created page with "====To Calculate==== <b>1. (See lecture slide 3.) For one-dimensional <math>x</math>, the model <math>y(x | \mathbf b)</math> is called "linear" if <math>y(x | \mathbf b) = \...") (current) - 12:45, 1 April 2013
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**(+791)** N Travis: Segment 19 (Created page with "====To Calculate==== <b>1. Prove the assertion on lecture slide 5, namely that, for a multivariate normal distribution, the quantity <math>({\mathbf x-\mathbf\mu})^T{\mathbf\...") (current) - 12:44, 1 April 2013 (diff | hist) (+408) User:Tsanders (current)
- 12:42, 1 April 2013 (diff | hist) (0) Travis: Segment 23
- 12:40, 1 April 2013
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**(+1,543)** N Travis: Segment 23 (Created page with "====To Compute==== <b>1. Generate 100 i.i.d. random draws from the beta distribution <math>\text{Beta}(2.5,5.)</math>, for example using MATLAB's betarnd or Python's random.be...") - 12:39, 1 April 2013 (diff | hist) (+24) User:Tsanders
- 12:33, 20 March 2013 (diff | hist) (+408) Travis: Segment 12 (current)
- 12:23, 20 March 2013 (diff | hist) (+29) Travis: Segment 10 (current)
- 18:25, 19 March 2013
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**(+1,159)** Travis: Segment 16 (current) - 22:10, 18 March 2013 (diff | hist) (+393) Travis: Segment 17 (current)
- 21:58, 18 March 2013 (diff | hist) (+14) Travis: Segment 6 (current)
- 11:48, 18 March 2013
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**(+1,601)** N Travis: Segment 18 (Created page with "====To Calculate==== <b>1. Random points i are chosen uniformly on a circle of radius 1, and their <math>(x_i,y_i)</math> coordinates in the plane are recorded. What is the 2...") - 11:47, 18 March 2013
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**(+1,325)** N Travis: Segment 16 (Created page with "====To Calculate==== <b>1. Simulate the following: You have M=50 p-values, none actually causal, so that they are drawn from a uniform distribution. Not knowing this sad fa...") - 11:46, 18 March 2013
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**(+952)** N Travis: Segment 15 (Created page with "====To Calculate==== <b>1. In slide 4, we used "posterior predictive p-value" to get the respective p-values 1.0e-13, .01, .12, and .0013. What if we had mistakenly just used...") (current) - 11:44, 18 March 2013 (diff | hist) (+31) Travis: Segment 17
- 11:43, 18 March 2013
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**(+1,019)** N Travis: Segment 17 (Created page with "====To Calculate==== 1. Calculate the Jacobian determinant of the transformation of variables defined by <math>y_1 = x_1/x_2, \qquad y_2 = x_2^2</math> 2. Consider the 3-dim...") - 11:39, 18 March 2013
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**(+1,551)** N Travis: Segment 14 (Created page with "====To Calculate==== <b>1. Suppose the stopping rule is "flip exactly 10 times" and the data is that 8 out of 10 flips are heads. With what p-value can you rule out the hypot...") (current) - 11:03, 18 March 2013 (diff | hist) (+239) Travis: Segment 13 (current)
- 10:54, 18 March 2013 (diff | hist) (+228) Travis: Segment 13
- 10:53, 18 March 2013 (diff | hist) (+155) N File:NormalvsBinomialpdf.jpg (This is the maximum difference vs. N plot between the binomial distribution and the normal distribution. The slope of the log-log plot is approximately -1.) (current)
- 16:11, 16 March 2013
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**(+1,085)** N Travis: Segment 13 (Created page with "====To Calculate==== <b>1. With p=0.3, and various values of n, how big is the largest discrepancy between the Binomial probability pdf and the approximating Normal pdf? At w...") - 15:55, 16 March 2013
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**(+653)** Travis: Segment 12 - 13:57, 16 March 2013
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**(+1,904)** N Travis: Segment 12 (Created page with "====To Calculate==== <b>1. What is the critical region for a 5% two-sided test if, under the null hypothesis, the test statistic is distributed as <math>\text{Student}(0,\sig...") - 12:54, 20 February 2013
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**(+2,328)** N Travis: Segment 11 (Created page with "====To Calculate==== <b>1. For the Cauchy distribution (Segment 8, Slide 3), find the inverse function of the CDF. </b> The Cauchy probability distribution is given by <math>...") (current) - 12:53, 20 February 2013 (diff | hist) (0) N File:CauchyHist.png (current)
- 20:40, 14 February 2013
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**(+1,880)** N Travis: Python 2 (Created page with "=== Before Class: === <b> Counting Point Mutations </b> Given: Two DNA strings s and t of equal length (not exceeding 1 kbp). Return: The Hamming distance dH(s,t). ''Note:...") (current) - 20:08, 14 February 2013
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**(+8,439)** N Travis: Python 1 (Created page with "===Before class problems=== Problems and 1 and 2 were trivial and required simple commands typed directly into the command window, so I will begin posting my solutions starti...") (current) - 19:02, 14 February 2013 (diff | hist) (+88) User:Tsanders

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