Data Interpretation for Public Health Professionals
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
Math/CS 467 (Lesieutre) Homework 2 September 9, 2020 Submission
Math/CS 467 (Lesieutre) Homework 2 September 9, 2020 Submission instructions: Upload your solutions, minus the code, to Gradescope, like you did last week. Email your code to me as an attachment at [email protected], including the string HW2 in the subject line so I can filter them. Problem 1. Both prime numbers and perfect squares get more and more uncommon among larger and larger numbers. But just how uncommon are they? a) Roughly how many perfect squares are there less than or equal to N? p 2 For a positivep integer k, notice that k is less than N if and only if k ≤ N. So there are about N possibilities for k. b) Are there likely to be more prime numbers or perfect squares less than 10100? Give an estimate of the number of each. p There are about 1010 = 1050 perfect squares. According to the prime number theorem, there are about 10100 10100 π(10100) ≈ = = 1098 · log 10 = 2:3 · 1098: log(10100) 100 log 10 That’s a lot more primes than squares. (Note that the “log” in the prime number theorem is the natural log. If you use log10, you won’t get the right answer.) Problem 2. Compute g = gcd(1661; 231). Find integers a and b so that 1661a + 231b = g. (You can do this by hand or on the computer; either submit the code or show your work.) We do this using the Euclidean algorithm. At each step, we keep track of how to write ri as a combination of a and b. -
Wu Washington 0250E 15755.Pdf (3.086Mb)
© Copyright 2016 Sang Wu Contributions to Physics-Based Aeroservoelastic Uncertainty Analysis Sang Wu A dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy University of Washington 2016 Reading Committee: Eli Livne, Chair Mehran Mesbahi Dorothy Reed Frode Engelsen Program Authorized to Offer Degree: Aeronautics and Astronautics University of Washington Abstract Contributions to Physics-Based Aeroservoelastic Uncertainty Analysis Sang Wu Chair of the Supervisory Committee: Professor Eli Livne The William E. Boeing Department of Aeronautics and Astronautics The thesis presents the development of a new fully-integrated, MATLAB based simulation capability for aeroservoelastic (ASE) uncertainty analysis that accounts for uncertainties in all disciplines as well as discipline interactions. This new capability allows probabilistic studies of complex configuration at a scope and with depth not known before. Several statistical tools and methods have been integrated into the capability to guide the tasks such as parameter prioritization, uncertainty reduction, and risk mitigation. The first task of the thesis focuses on aeroservoelastic uncertainty assessment considering control component uncertainty. The simulation has shown that attention has to be paid, if notch filters are used in the aeroservoelastic loop, to the variability and uncertainties of the aircraft involved. The second task introduces two innovative methodologies to characterize the unsteady aerodynamic uncertainty. One is a physically based aerodynamic influence coefficients element by element correction uncertainty scheme and the other is an alternative approach focusing on rational function approximation matrix uncertainties to evaluate the relative impact of uncertainty in aerodynamic stiffness, damping, inertia, or lag terms. Finally, the capability has been applied to obtain the gust load response statistics accounting for uncertainties in both aircraft and gust profiles. -
FDA Oncology Experience in Innovative Adaptive Trial Designs
Innovative Adaptive Trial Designs Rajeshwari Sridhara, Ph.D. Director, Division of Biometrics V Office of Biostatistics, CDER, FDA 9/3/2015 Sridhara - Ovarian cancer workshop 1 Fixed Sample Designs • Patient population, disease assessments, treatment, sample size, hypothesis to be tested, primary outcome measure - all fixed • No change in the design features during the study Adaptive Designs • A study that includes a prospectively planned opportunity for modification of one or more specified aspects of the study design and hypotheses based on analysis of data (interim data) from subjects in the study 9/3/2015 Sridhara - Ovarian cancer workshop 2 Bayesian Designs • In the Bayesian paradigm, the parameter measuring treatment effect is regarded as a random variable • Bayesian inference is based on the posterior distribution (Bayes’ Rule – updated based on observed data) – Outcome adaptive • By definition adaptive design 9/3/2015 Sridhara - Ovarian cancer workshop 3 Adaptive Designs (Frequentist or Bayesian) • Allows for planned design modifications • Modifications based on data accrued in the trial up to the interim time • Unblinded or blinded interim results • Control probability of false positive rate for multiple options • Control operational bias • Assumes independent increments of information 9/3/2015 Sridhara - Ovarian cancer workshop 4 Enrichment Designs – Prognostic or Predictive • Untargeted or All comers design: – post-hoc enrichment, prospective-retrospective designs – Marker evaluation after randomization (example: KRAS in cetuximab -
FORMULAS from EPIDEMIOLOGY KEPT SIMPLE (3E) Chapter 3: Epidemiologic Measures
FORMULAS FROM EPIDEMIOLOGY KEPT SIMPLE (3e) Chapter 3: Epidemiologic Measures Basic epidemiologic measures used to quantify: • frequency of occurrence • the effect of an exposure • the potential impact of an intervention. Epidemiologic Measures Measures of disease Measures of Measures of potential frequency association impact (“Measures of Effect”) Incidence Prevalence Absolute measures of Relative measures of Attributable Fraction Attributable Fraction effect effect in exposed cases in the Population Incidence proportion Incidence rate Risk difference Risk Ratio (Cumulative (incidence density, (Incidence proportion (Incidence Incidence, Incidence hazard rate, person- difference) Proportion Ratio) Risk) time rate) Incidence odds Rate Difference Rate Ratio (Incidence density (Incidence density difference) ratio) Prevalence Odds Ratio Difference Macintosh HD:Users:buddygerstman:Dropbox:eks:formula_sheet.doc Page 1 of 7 3.1 Measures of Disease Frequency No. of onsets Incidence Proportion = No. at risk at beginning of follow-up • Also called risk, average risk, and cumulative incidence. • Can be measured in cohorts (closed populations) only. • Requires follow-up of individuals. No. of onsets Incidence Rate = ∑person-time • Also called incidence density and average hazard. • When disease is rare (incidence proportion < 5%), incidence rate ≈ incidence proportion. • In cohorts (closed populations), it is best to sum individual person-time longitudinally. It can also be estimated as Σperson-time ≈ (average population size) × (duration of follow-up). Actuarial adjustments may be needed when the disease outcome is not rare. • In an open populations, Σperson-time ≈ (average population size) × (duration of follow-up). Examples of incidence rates in open populations include: births Crude birth rate (per m) = × m mid-year population size deaths Crude mortality rate (per m) = × m mid-year population size deaths < 1 year of age Infant mortality rate (per m) = × m live births No. -
6Th Online Learning #2 MATH Subject: Mathematics State: Ohio
6th Online Learning #2 MATH Subject: Mathematics State: Ohio Student Name: Teacher Name: School Name: 1 Yari was doing the long division problem shown below. When she finishes, her teacher tells her she made a mistake. Find Yari's mistake. Explain it to her using at least 2 complete sentences. Then, re-do the long division problem correctly. 2 Use the computation shown below to find the products. Explain how you found your answers. (a) 189 × 16 (b) 80 × 16 (c) 9 × 16 3 Solve. 34,992 ÷ 81 = ? 4 The total amount of money collected by a store for sweatshirt sales was $10,000. Each sweatshirt sold for $40. What was the total number of sweatshirts sold by the store? (A) 100 (B) 220 (C) 250 (D) 400 5 Justin divided 403 by a number and got a quotient of 26 with a remainder of 13. What was the number Justin divided by? (A) 13 (B) 14 (C) 15 (D) 16 6 What is the quotient of 13,632 ÷ 48? (A) 262 R36 (B) 272 (C) 284 (D) 325 R32 7 What is the result when 75,069 is divided by 45? 8 What is the value of 63,106 ÷ 72? Write your answer below. 9 Divide. 21,900 ÷ 25 Write the exact quotient below. 10 The manager of a bookstore ordered 480 copies of a book. The manager paid a total of $7,440 for the books. The books arrived at the store in 5 cartons. Each carton contained the same number of books. A worker unpacked books at a rate of 48 books every 2 minutes. -
Incidence and Secondary Transmission of SARS-Cov-2 Infections in Schools
Prepublication Release Incidence and Secondary Transmission of SARS-CoV-2 Infections in Schools Kanecia O. Zimmerman, MD; Ibukunoluwa C. Akinboyo, MD; M. Alan Brookhart, PhD; Angelique E. Boutzoukas, MD; Kathleen McGann, MD; Michael J. Smith, MD, MSCE; Gabriela Maradiaga Panayotti, MD; Sarah C. Armstrong, MD; Helen Bristow, MPH; Donna Parker, MPH; Sabrina Zadrozny, PhD; David J. Weber, MD, MPH; Daniel K. Benjamin, Jr., MD, PhD; for The ABC Science Collaborative DOI: 10.1542/peds.2020-048090 Journal: Pediatrics Article Type: Regular Article Citation: Zimmerman KO, Akinboyo IC, Brookhart A, et al. Incidence and secondary transmission of SARS-CoV-2 infections in schools. Pediatrics. 2021; doi: 10.1542/peds.2020- 048090 This is a prepublication version of an article that has undergone peer review and been accepted for publication but is not the final version of record. This paper may be cited using the DOI and date of access. This paper may contain information that has errors in facts, figures, and statements, and will be corrected in the final published version. The journal is providing an early version of this article to expedite access to this information. The American Academy of Pediatrics, the editors, and authors are not responsible for inaccurate information and data described in this version. Downloaded from©2021 www.aappublications.org/news American Academy by of guest Pediatrics on September 27, 2021 Prepublication Release Incidence and Secondary Transmission of SARS-CoV-2 Infections in Schools Kanecia O. Zimmerman, MD1,2,3; Ibukunoluwa C. Akinboyo, MD1,2; M. Alan Brookhart, PhD4; Angelique E. Boutzoukas, MD1,2; Kathleen McGann, MD2; Michael J. -
Estimated HIV Incidence and Prevalence in the United States
Volume 26, Number 1 Estimated HIV Incidence and Prevalence in the United States, 2015–2019 This issue of the HIV Surveillance Supplemental Report is published by the Division of HIV/AIDS Prevention, National Center for HIV/AIDS, Viral Hepatitis, STD, and TB Prevention, Centers for Disease Control and Prevention (CDC), U.S. Department of Health and Human Services, Atlanta, Georgia. Estimates are presented for the incidence and prevalence of HIV infection among adults and adolescents (aged 13 years and older) based on data reported to CDC through December 2020. The HIV Surveillance Supplemental Report is not copyrighted and may be used and reproduced without permission. Citation of the source is, however, appreciated. Suggested citation Centers for Disease Control and Prevention. Estimated HIV incidence and prevalence in the United States, 2015–2019. HIV Surveillance Supplemental Report 2021;26(No. 1). http://www.cdc.gov/ hiv/library/reports/hiv-surveillance.html. Published May 2021. Accessed [date]. On the Web: http://www.cdc.gov/hiv/library/reports/hiv-surveillance.html Confidential information, referrals, and educational material on HIV infection CDC-INFO 1-800-232-4636 (in English, en Español) 1-888-232-6348 (TTY) http://wwwn.cdc.gov/dcs/ContactUs/Form Acknowledgments Publication of this report was made possible by the contributions of the state and territorial health departments and the HIV surveillance programs that provided surveillance data to CDC. This report was prepared by the following staff and contractors of the Division of HIV/AIDS Prevention, National Center for HIV/AIDS, Viral Hepatitis, STD, and TB Prevention, CDC: Laurie Linley, Anna Satcher Johnson, Ruiguang Song, Sherry Hu, Baohua Wu, H. -
Understanding Relative Risk, Odds Ratio, and Related Terms: As Simple As It Can Get Chittaranjan Andrade, MD
Understanding Relative Risk, Odds Ratio, and Related Terms: As Simple as It Can Get Chittaranjan Andrade, MD Each month in his online Introduction column, Dr Andrade Many research papers present findings as odds ratios (ORs) and considers theoretical and relative risks (RRs) as measures of effect size for categorical outcomes. practical ideas in clinical Whereas these and related terms have been well explained in many psychopharmacology articles,1–5 this article presents a version, with examples, that is meant with a view to update the knowledge and skills to be both simple and practical. Readers may note that the explanations of medical practitioners and examples provided apply mostly to randomized controlled trials who treat patients with (RCTs), cohort studies, and case-control studies. Nevertheless, similar psychiatric conditions. principles operate when these concepts are applied in epidemiologic Department of Psychopharmacology, National Institute research. Whereas the terms may be applied slightly differently in of Mental Health and Neurosciences, Bangalore, India different explanatory texts, the general principles are the same. ([email protected]). ABSTRACT Clinical Situation Risk, and related measures of effect size (for Consider a hypothetical RCT in which 76 depressed patients were categorical outcomes) such as relative risks and randomly assigned to receive either venlafaxine (n = 40) or placebo odds ratios, are frequently presented in research (n = 36) for 8 weeks. During the trial, new-onset sexual dysfunction articles. Not all readers know how these statistics was identified in 8 patients treated with venlafaxine and in 3 patients are derived and interpreted, nor are all readers treated with placebo. These results are presented in Table 1. -
Analysing Census at School Data
Analysing Census At School Data www.censusatschool.ie Project Maths Development Team 2015 Page 1 of 7 Excel for Analysing Census At School Data Having retrieved a class’s data using CensusAtSchool: 1. Save the downloaded class data which is a .csv file as an .xls file. 2. Delete any unwanted variables such as the teacher name, date stamp etc. 3. Freeze the top row so that one can scroll down to view all of the data while the top row remains in view. 4. Select certain columns (not necessarily contiguous) for use as a class worksheet. Aim to have a selection of categorical data (nominal and ordered) and numerical data (discrete and continuous) unless one requires one type exclusively. The number of columns will depend on the class as too much data might be intimidating for less experienced classes. Students will need to have the questionnaire to hand to identify the question which produced the data. 5. Make a new worksheet within the workbook of downloaded data using the selected columns. 6. Name the worksheet i.e. “data for year 2 2014” or “data for margin of error investigation”. 7. Format the data to show all borders (useful if one is going to make a selection of the data and put it into Word). 8. Order selected columns of this data perhaps (and use expand selection) so that rogue data such as 0 for height etc. can be eliminated. It is perhaps useful for students to see this. (Use Sort & Filter.) 9. Use a filter on data, for example based on gender, to generate further worksheets for future use 10. -
A Monte Carlo Simulation Approach to the Reliability Modeling of the Beam Permit System of Relativistic Heavy Ion Collider (Rhic) at Bnl* P
Proceedings of ICALEPCS2013, San Francisco, CA, USA MOPPC075 A MONTE CARLO SIMULATION APPROACH TO THE RELIABILITY MODELING OF THE BEAM PERMIT SYSTEM OF RELATIVISTIC HEAVY ION COLLIDER (RHIC) AT BNL* P. Chitnis#, T.G. Robertazzi, Stony Brook University, Stony Brook, NY 11790, U.S.A. K.A. Brown, Brookhaven National Laboratory, Upton, NY 11973, U.S.A. Abstract called the Permit Carrier Link, Blue Carrier Link and The RHIC Beam Permit System (BPS) monitors the Yellow Carrier link. These links carry 10 MHz signals health of RHIC subsystems and takes active decisions whose presence allows the beam in the ring. Support regarding beam-abort and magnet power dump, upon a systems report their status to BPS through “Input subsystem fault. The reliability of BPS directly impacts triggers” called Permit Inputs (PI) and Quench Inputs the RHIC downtime, and hence its availability. This work (QI). If any support system PI fails, the permit carrier assesses the probability of BPS failures that could lead to terminates, initiating a beam dump. If QI fails, then the substantial downtime. A fail-safe condition imparts blue and yellow carriers also terminate, initiating magnet downtime to restart the machine, while a failure to power dump in blue and yellow ring magnets. The carrier respond to an actual fault can cause potential machine failure propagates around the ring to inform other PMs damage and impose significant downtime. This paper about the occurrence of a fault. illustrates a modular multistate reliability model of the Other than PMs, BPS also has 4 Abort Kicker Modules BPS, with modules having exponential lifetime (AKM) that see the permit carrier failure and send the distributions. -
2 3 Practice Problems.Pdf
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) The following frequency distribution presents the frequency of passenger vehicles that 1) pass through a certain intersection from 8:00 AM to 9:00 AM on a particular day. Vehicle Type Frequency Motorcycle 5 Sedan 95 SUV 65 Truck 30 Construct a frequency bar graph for the data. A) B) 1 C) D) 2) The following bar graph presents the average amount a certain family spent, in dollars, on 2) various food categories in a recent year. On which food category was the most money spent? A) Dairy products B) Cereals and baked goods C) Fruits and vegetables D) Meat poultry, fish, eggs 3) The following frequency distribution presents the frequency of passenger vehicles that 3) pass through a certain intersection from 8:00 AM to 9:00 AM on a particular day. Vehicle Type Frequency Motorcycle 9 Sedan 54 SUV 27 2 Truck 53 Construct a relative frequency bar graph for the data. A) B) C) D) 3 4) The following frequency distribution presents the frequency of passenger vehicles that 4) pass through a certain intersection from 8:00 AM to 9:00 AM on a particular day. Vehicle Type Frequency Motorcycle 9 Sedan 20 SUV 25 Truck 39 Construct a pie chart for the data. A) B) C) D) 5) The following pie chart presents the percentages of fish caught in each of four ratings 5) categories. Match this pie chart with its corresponding Parato chart. 4 A) B) C) 5 D) SHORT ANSWER. -
Disease Incidence, Prevalence and Disability
Part 3 Disease incidence, prevalence and disability 9. How many people become sick each year? 28 10. Cancer incidence by site and region 29 11. How many people are sick at any given time? 31 12. Prevalence of moderate and severe disability 31 13. Leading causes of years lost due to disability in 2004 36 World Health Organization 9. How many people become sick each such as diarrhoeal disease or malaria, it is common year? for individuals to be infected repeatedly and have several episodes. For such conditions, the number The “incidence” of a condition is the number of new given in the table is the number of disease episodes, cases in a period of time – usually one year (Table 5). rather than the number of individuals affected. For most conditions in this table, the figure given is It is important to remember that the incidence of the number of individuals who developed the illness a disease or condition measures how many people or problem in 2004. However, for some conditions, are affected by it for the first time over a period of Table 5: Incidence (millions) of selected conditions by WHO region, 2004 Eastern The Mediter- South- Western World Africa Americas ranean Europe East Asia Pacific Tuberculosisa 7.8 1.4 0.4 0.6 0.6 2.8 2.1 HIV infectiona 2.8 1.9 0.2 0.1 0.2 0.2 0.1 Diarrhoeal diseaseb 4 620.4 912.9 543.1 424.9 207.1 1 276.5 1 255.9 Pertussisb 18.4 5.2 1.2 1.6 0.7 7.5 2.1 Measlesa 27.1 5.3 0.0e 1.0 0.2 17.4 3.3 Tetanusa 0.3 0.1 0.0 0.1 0.0 0.1 0.0 Meningitisb 0.7 0.3 0.1 0.1 0.0 0.2 0.1 Malariab 241.3 203.9 2.9 8.6 0.0 23.3 2.7