Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more.
Course Hero has millions of course specific materials providing students with the best way to expand
their education.
Below is a small sample set of documents:
Duke - STA - 216
STA 216 Fall 2000 Assignment 4 Refer to the binary regression O-ring example from class. 1. Write down the expression for the working response Z and the weights W for complementary log-log link. 2. Carry out k steps of the Fisher scoring algorithm us
Duke - STA - 216
alpha0alpha1pi[i]Y[i]for(i IN 1 : 24)alpha1 5.55112E-17 -0.2 -0.4 -0.6 10850 10900 10950 iteration 40.0 30.0 20.0 10.0 0.0alpha1 1.0 0.5 0.0 -0.5 -1.0 0 20 lag 40 1.0 0.5 0.0 -0.5 -1.0 2XWSXIURGHIDXRJPRGHO*UDSK
Duke - STA - 103
Multivariate probability distributions Often we are interested in more than 1 aspect of an experiment/trial Will have more than 1 random variable Interest the probability of a combination of events (results of the different aspects of the experim
Duke - STA - 104
STA 104 MTH 135Name: Probability First Test 2:10-3:30 pm Thursday, 3 October 1996This is a closed-book examination, so please do not refer to your notes, the text, or to any other books. If you dont understand something in one of the questions fe
Duke - STA - 216
STA 216 Fall 2000 Assignment 3 Refer to the O-ring example from class and the last assignment. Assume that you have M possible models (M1 , . . . , MM ) for O-ring failure and that you can calculate the posterior probability of each model (Mj |Y ). F
Taylor IN - COS - 381
1IntroductionFor this lab, you are going to begin the construction of your simulated computer. The resulting component of this assignment is a 32 32 register file, that is a set of 32 registers each of which is 32 bits in size. See Figure 5.7 in
Taylor IN - COS - 382
Lexical AnalysisJonathan GeislerFebrurary 8, 2006Jonathan GeislerLexical AnalysisLanguage RecognitionLets use the same grammar as Monday and validate a sentence for that grammar: 1/2.5=Jonathan GeislerLexical AnalysisParse treesThi
Duke - STA - 242
% D0 @8 3 @ 6 ( 6 d (' 6 ( D F ' 62 B (' 3 E ( 3A F @ 2A YB u 1 (A D B c 8 ( V H 9 E u x Rc G(D F Q( ( 0 ` W (A B W t CD B 3 B' F ( 3 @D F G 6C 3 C E5 d kl 35 (B D1 B Rc 1 ( Q(@ d 3A 6B G k 0 B2 3 D' C5 dj D i Q3 G@ A (C 3 9 9(@
Duke - STA - 242
' (' c 9rQI S a C S Y A sA A )`VAR%3yeav)wYBSVC%ifVWeC4d4VIi9zVQw9`T4BI9 VI9x3eC%BIH4ea4)iYwss vqUWVSBc4eaBSDBAb`4VIxEABYXDVADeWeS4`BYHVAR3R%BIp%eYBSR%Bfw9ESheapvCb`eAiShi}iYeRY S o S 9 A Sd W A G ( 9 c 9aAW A 9 Cf 9 9Q sr YW Y 9 cQ 9Q 9 Ca 9Q
Duke - STA - 244
STA2444/23/2003Take Home Final ExamDue 5/1/2003 by 5pm This is an open note/open book test. All work must be your own.Study of the growth of plants can be a crucial element in understanding how they compete for resources. For example, soybean
Duke - STA - 244
STA2444/7/2003Homework 7Due 4/14/2001 1. The matrix X(i) X(i) can be written as X(i) X(i) = X X - xi xi where xi is the ith row of X and X(i) is the matrix X with the ith row removed. Use this to show (X(i) X(i) )-1 = (X X)-1 + (X X)-1 xi xi (X
Duke - STA - 244
STA2441/15/2003Homework 2Due 1/22/2003 1. Write the following two way analysis of variance (AOV) model with interactions Yijk = + i + j + ij + with i = 1, 2, 3, j = 1, 2, k = 1, 2 in matrix notation. 2. Suppose we have a k k matrix S partition
Duke - STA - 244
STA2442/28/2005Homework 5Due 3/7/2001 1. For a random vector n , is called exchangeable if has the same distribution as any permutation of the vector . If is exchangeable, prove that E( ) = 1 ( ), and that the Cov( ) = has the forma a b .
Duke - STA - 244
STA2441/15/2001Homework 1Due 1/22/20011. Assume that we have a sample of size n where Y i = 0 + 1 Xi + e i and the errors ei are iid N (0, 2 ). (a) Find the maximum likelihood estimator of 2 , 2 . Hint: let = 2 and maximize. ^ (b) Under
Duke - STA - 103
j3{a" r"D jmR"jE9" "h9r! Em {"6{!9h4!" 6 Em!ED j RR4 Ew{9r4j 7"{h9 m!9 ' r9D jmREp"j7tj r7E{m!9 49 6r9BX EBr{p !4hD 3h b rq T1I b ` X '
Duke - STA - 244
STA2442/5/2005Homework 3Due 2/12/2001 1. Recall from class that a non-central 2 (m, ) can be represented as a Poisson mixture of central 2 random variables, where Y P (/2) and X|Y 2 (m + 2y, 0). Find the mean and variance of a non-central Chi-
Duke - STA - 103
% # " &$!
Duke - STA - 103
p2hGuBgB@G8ey$uHx3G4(f'Be2Cy$02#dBr}X`v2!XhX1gB'0(fX`'dufdGF'0ffxEVz w Gxp( 7 7 C ) W!t h I# % %t 1` 1 # 3 h C h )t ) # % h c! !t c! ! E # W p p t T x` 1 h` q u@G f h g f d 8Ve (H f q u@G q u@G f h qp 8@ruf u Yr@ruiH f s f qp q u@G
Duke - STA - 103
v @ ' @ 9 u@4Cb'0B")Q~u5q d5s9tgts 84iq8qB")qYU'rRQuIQ8D ' @ R1p YV1 6 qY'AIqVIPUCg9dqd&FB6&BrV8AapQ6U@rTrR2EFQ9p$ @9 'Y T d ' '7 @ 1 x T1 f 9 TD1D d vgIG"dw6 rRQuh'C u@ qVIswqYb't@4ph'h'UCw|UCIqG4p0$ ' @ R1 d T ') ` d T T d p 4g9bdqdF
Duke - STA - 244
STA2444/9/2002Homework 7Due 4/16/2001 1. Problem 15.7 in CW. To obtain case diagnostics in S-Plus, fit a model using the QR option, i.e. mylm.obj <- lm(Y X1 + X2, data=mydataframe, qr=T) To obtain the case diagnostics, use the function ls.diag(
Duke - STA - 103
g c gycp x c j e d p p x uy e d t r ey c d pc p e ~isq~n"cfreqqg "q%tsmis|q~g c d uc u xe x c d c p | pe re c jl s'}ers weup1Wy~y sfesqk qknk yc d ey c d pc p e g p upp rcyc u t yc t r sc q%qe srs|q~nuc1ux%q Tssxv3s"9 a p p x uy e d
Duke - STA - 103
h7W9AAP Br2rW 014sGC3 d bc2G90'DbcGAVb{b652IIr2B@I65{Dbfb8fD28fS65rS6db`U01`@DrA 3 q l P 37A) w v 3 H7 9 H7 1 3)7 5 PW ')CA97 3 7) H7 v 5 ) iuxhfi xh F 3A w v d w 3 ) d 3 97) H42FtSt2PzBBbH G9BSG942@Dp2tbI@b822@01b01b6501SxSH s 7 PA 9 H7 9A Q9A
Duke - STA - 103
()c 5 q1 )h oefen'a5sf q1 r AeqAdGeC(oC9edPAq0adPA0P#( y f HR cp HR H FE f ( f @ V c H HRp p c 9 H HR D H h ( d FACE@ y CS@0G%dHeQnmeqiC0G0CH0giACBse6T 3E R h f 3 R cp H S 3 ` H FE f S 3E E H FE E 3 D @ c c x } ( Q 5 sf q1 r a5 h
Duke - STA - 244
STA2443/19/2005Homework 6Due 3/28/2002 1. For the usual linear model Y N (X, -1 In ) with prior distributions N (bo , Vo ) independent of and p() 1/: (a) Find the posterior distribution of |. (b) Can you find a closed form expression for th
Duke - STA - 102
ill sandwich "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes" "Yes"
Duke - STA - 102
exposure nma "high" 28 "high" 35 "high" 37 "high" 37 "high" 43.5 "high" 44 "high" 45.5 "high" 46 "high" 48 "high" 48.
Duke - STA - 102
subject fev1 gender 1 2.30 0 2 2.15 1 3 3.50 1 4 2.60 0 5 2.75 0 6 2.82 1 7 4.05 1 8 2.25 1 9 2.68 0
Duke - STA - 244
x1 x2 y1 y2 y3 y4 10 8 8.04 9.14 7.46 6.58 8 8 6.95 8.14 6.77 5.76 13 8 7.58 8.74 12.74 7.71 9 8 8.81 8.77 7.11 8.84 11 8 8.33 9.26 7.81 8.47 14 8 9.96 8.1 8.84 7.04 6 8 7.24 6.13 6.08 5.25 4 19 4.26 3.1 5.39 12.5 12 8 10.84 9.13 8.15 5.56
Duke - STA - 244
D m S WS y 0 10 1 3408 623 0.04 5 1 206.8 680.2 0.1 5 1 1841.2 721.4 0.16 5 1 1223.2 750.4 0.28 5 1 861.2 789.4 0.04 5 2 2810.8 672.2 0.1 5 2 860.8 709.2 0.16 5 2 592.8 731.2 0.28 5 2 2642.8 778.2 0.04 5 3 2399.2 668.4 0.1 5 3 327.2 715.6
Duke - STA - 244
FUEL/POP INC LIC/POP POP TAX VEH/POP VM/VEH 644.147 14.826 0.70923 4041 13 0.911408 11.0684 474.545 21.761 0.549091 550 8 0.669091 10.5625 552.524 16.297 0.660573 3665 18 0.777899 12.2119 683.539 14.218 0.735857 2351 18.7 0.615908 14.0981 501.34
Duke - STA - 244
Pressure Temp 20.79 194.5 20.79 194.3 22.4 197.9 22.67 198.4 23.15 199.4 23.35 199.9 23.89 200.9 23.99 201.1 24.02 201.4 24.01 201.3 25.14 203.6 26.57 204.6 28.49 209.5 27.76 208.6 29.04 210.7 29.88 211.9 30.06 212.2
Duke - STA - 244
STA2444/18/2002Homework 8Due 4/26/2001 Refer to Exercise 11.5 in CW (page 285). Use any appropriate methods covered in class to answer the problem (Bayesian, Frequentist, or compare both). Provide a typed solution describing the problem and how
Duke - STA - 244
STA2442/14/2005Homework 4Due 2/21/2001 1. Consider the linear model Y = X 1 1 + X 2 2 + where X1 is n q and X2 is n (p q), with both matrices of full column rank. Consider the problem of testing N H : 1 = 0. Assume that N (0, 2 In ). (a) Gi
Duke - STA - 244
U X1 X2 Y 0.493151 1 1 0.872302 1.40245 2 1 1.59988 2.31175 3 1 2.4019 3.22104 4 1 3.25942 4.13034 5 1 4.14616 5.03964 6 1 5.04607 5.94894 7 1 5.95154 6.85823 8 1 6.85928 7.76753 9 1 7.76795 8.67683 10 1 8.677 0.0770038 1 2 0.557762 0.986
Duke - STA - 113
Name:Section:STAT 113 Midterm 31 Otis 1979, Journal of Psychology interviewed people waiting to see the space aliens lm Close Encounters of the Third Kind." Each person was asked to state his or her degree of agreement with the statement Life on
Duke - STA - 113
Name:Section:STAT 113 Midterm 21a. 1pt Suppose y is a normally distributed random variable with mean 0 and variance 1.0, i.e. y is standard normal. Find P ,1:0 y 0:5.1b. 2pt Suppose y is normally distributed random variable with mean 10 and va
Duke - STA - 113
Homework 9a SolutionsAs yi iid Bernoullip, then E yi = = p. Setting this expression to its respective sample P y =1 ^ y moment, we obtain: = n , or p = n ^ n! y n,y where K = 8.8 c. For the Binomial experiment, the likelihood function is L = K p
Duke - STA - 113
Name:1a. 2pt Suppose y is normally distributed random variable with mean = 5:0 and variance 2 = 4:0, i.e. y N 5:0; 4:0. Find P 3:0 y 12:0. 1b. 2pt Suppose y is a 2 distributed random variable with = 12 degrees of freedom. Find cuto s c and d, su
Duke - STA - 113
Name:Section:STAT 113 Midterm 31 Otis1 1979 interviewed people waiting to see the space aliens lm Close Encounters of the Third Kind." Each person was asked to state his or her degree of agreement with the statement Life on Earth is being observ
Duke - STA - 113
Name:Section:STAT 113, Spring 99 Midterm 3On all problems, please show your work. Just the correct answer without justi cation and intermediate results is not acceptable.Note:1.In a survey of college students, it was found that X = 69 of th
Duke - STA - 113
SOLUTIONNote: Version B had slightly di erent numbers. But the basic problems were the same. You can recognize Version B by Name" instead of Name:" on the top line, i.e., a missing :" after Name". 1. On questions 1a-f: 2pts for the correct choice;
Duke - STA - 110
Min. 1st Qu. Median Mean 3rd Qu. Max. 41 76 89 85.28 96 100 Decimal point is 1 place to the right of the colon 4 : 14 4 : 5 : 5 : 55 6 : 1 6 : 55569 7 : 0011123333444
Duke - BME - 227
Articulating External Fixation Device for the ElbowBrace Yourself: Blake Iceton Lisa Richards Advisor: Aura Gimm, PhD. Gimm, BME 227L 4/22/08Clients: Dr. Marc Richard Dr. Michael RichardTeam IntroductionsBlake Iceton Lisa Richards Dr. Marc Ric
Duke - BME - 227
Easy-to-Use Bacterial Growth ChamberXin Zheng Derek Hsu Bruno Gugelmin1AgendaIntroduction II. Background Information III. Objective IV. Design Ideas V. Comparison of Design Ideas VI. Conclusion VII. Whats Next?I.21IntroductionClient: D
Duke - BME - 227
Creation and Testing of a Novel Ultrasonic Imaging System for Pre-Operative Staging of Rectal CancerAndrew Sobel and Brian LemisterClients: Dr. Kathy Nightingale, Department of Biomedical Engineering, Duke University Liang Zhai, Department of Biome
Duke - BME - 227
ECPrepAlexandru Avram Aaron Globerman Blake Sowerby September 27, 2005Presentation OverviewTechnical Background Client Background Problem Statement Client Requirements Proposed Designs Slush Model Sandwich Model Spot ModelDesign Evaluations
Duke - BME - 227
Endoscopic Surgical Platform with Magnets!Team ESPM The Worldwide LeaderBy Dave Abdollahian, Nicole Bell, Jarred Callura, Matt Furlow and Dean ParasFor Dr. George Mutafyan ClientBME 277L, Duke University, Spring 20071Overview Background
Duke - BME - 227
Articulating External Fixation Device for the ElbowBlake Iceton and Lisa Richards Clients: Dr. Marc Richard, M.D., Department of Orthopedic Surgery; Dr. Michael Richard, M.D., Department of Ophthalmology Advisor: J. Aura Gimm, Ph.D., Pratt School of
Duke - BME - 227
Articulating External Fixation Device for the ElbowTeam Brace Yourself: Blake Iceton Lisa Richards Advisor: Aura Gimm, PhD. BME 227L 2/12/08Team IntroductionsBlake Iceton Lisa Richards Dr. Marc Richard Orthopedic Surgery Dr. Michael Richard - Op
Duke - BME - 227
23 Appendix I. Project Design Specifications Development of a Novel Bolus Material for Radiation Therapy Tab Cooney, Farokh Irani, Andrew Stalnecker, Sara JohnstonFunction: Treating superficial lesions with radiation therapy is problematic in that
Duke - BME - 227
Endoscopic Surgical Platform with Magnets!Team ESPM The Worldwide LeaderBy Dave Abdollahian, Nicole Bell, Jarred Callura, Matt Furlow and Dean Paras For Dr. George Mutafyan ClientBackground InformationTraditional Appendectomies Used to treat
Duke - BME - 227
ECPrepAlexandru Avram Aaron Globerman Blake Sowerby December 6, 2005Presentation OverviewELISA Overview Client Requirements Design Procedure Testing Data Cost Comparison with Current methods Conclusions Challenges/Future WorkExperimental Overvi
Duke - BME - 227
Development of a Novel Bolus Material for Radiation TherapyTab Cooney, Farokh Irani, Andrew Stalnecker, Sara Johnston Duke University, BME 227 Client: Dr. John Kirkpatrick, Department of Radiation Oncology February 10, 20062 Abstract In radiation
Duke - BME - 227
Appendix A: Product Design SpecificationFunctionThe purpose of this project is to design and build a dynamic system for culturing cells. This bioreactor will be multifunctional to accommodate different cell types and different materials. A dynamic
Duke - BME - 227
Lauren Rocheleau Sajid Sharif Dan Southam Brian YehBME 265.9 Duke University Dr. TruskeyOutlineBackground Biological Previous DeviceObjectives Goal Statement Functional SpecificationsPrototype Design Mechanical ElectricalPrototype Ev
Duke - BME - 227
Aerosolized Drug Delivery ChamberBME 227 Design in Biotechnology Professor: Dr. Aura Gimm Client: Dr. William Steinbach April 24, 2007 Bill Monaco Emily Schmidt Todd Seaver Yuxuan HuOverviewBackground Client Requirements Original design Improved
Duke - BME - 227
Cell ChamberClient: Dr.SettonLeader: Alvin Kpaeyeh Web/Archivist: Lucy He Materials: Brendan Casey Communications: Jenna OlsonOverview Problem Statement Background Product Design Specifications Design Alternatives Future Outlook Challenges
Duke - BME - 227
Device for Dynamic Pressurization of Arteries and Strain Measurement : Mr. ArteryJay Crowley Jim Kragel Phil Kragel Ethan PuchatyOriginal Problem StatementThere is increasing evidence that wall mechanical forces play a role in the progression of
Duke - BME - 227
Home Intraocular Pressure Measurement DeviceTeam: Priya Karani, Shawn Tan, Lin Xiong, & Cen Zhang Clients: Richard Awdeh, MD and Felix Chau, MD Duke University Eye CenterBME 227L Professor Aura Gimm February 10, 2006Abstract Glaucoma is the sec
Duke - BME - 227
Design of an Aseptic Thymus Slicing DeviceCarolyn Eagan Richard Lee Marcus Reeslund Rachel WerginFebruary 9, 2006 BME 227: Design in BiotechnologyDesign of an Aseptic Thymus Slicing DeviceCarolyn Eagan, Richard Lee, Marcus Reeslund and Rachel