PPT-Using Profile Likelihood ratios at the LHC

Clement Helsens CERNPH Top LHCFrance CC IN2P3Lyon 22 March 2013 Outline Introduction Reminder of statistic Hypothesis testing Profile Likelihood ratio Some example helping to build an analysis. Ratios ratios are one number expressed in relation to another by dividing the one number by the other For example the sex ratio of Delaware in 1990 was 343200 females to 322968 males or 106 This can easily be expressed in terms of males to females 9 Eric . Prebys. , FNAL. Snowmass 2013 Community Planning Meeting. Fermilab, October 11-13, 2012. Minneapolis. LHC Upgrade Paths (Planned and Potential). October 11-13, 2012. Eric Prebys, Snowmass 2013 CPM, Fermilab. Outline:. Ratios!. What is a Ratio? . How to Use Ratios? . How to Simplify?. . Proportions!. What is a proportion?. Properties of proportions?. How to use proportions? . Mysterious Problems…. See Davison Ch. 4 for background and a more thorough discussion.. Sometimes. See last slide for copyright information. Maximum Likelihood. Sometimes. Close your eyes and differentiate?. Simulate Some Data: True α=2, β=3. UNIT 6. Math 7 Plus. So far we have looked at the following ways to use ratios to find unit rates as well as to help us find other equivalent ratios. . GRAPHING IN A COORDINATE PLANE. Best used to make predictions about equivalent ratios. Donald A Pierce, Emeritus, OSU Statistics. and. Ruggero. . Bellio. , . Univ. of Udine. Slides and working paper, other things are at. : . . http://www.science.oregonstate.edu/~. piercedo. Slides and paper only are at: . Lesson 5.2: Proportions. Chapter Five: Ratios and Proportions. Lesson 5.2: Proportions. Chapter Five: Ratios and Proportions. Lesson 5.2: Proportions. Chapter Five: Ratios and Proportions. Lesson 5.2: Proportions. Christiana . Athanasiou. , MIT. 4. work with: Krishna . Rajagopal. (MIT). . Misha. . Stephanov. (University of Illinois). . Outline. Introduction. Critical Contribution to Particle Multiplicity Fluctuations. Warm-up 1. Practice multiplication facts at . http://www.aaastudy.com/mul39ex2.htm. . Now use this site to answer question #1. : . http://. illuminations.nctm.org/ActivityDetail.aspx?ID=64. . 2. Simplify each fraction:. Objective. I can use ratio language to describe the relationship between two quantities.. Ratios. What is a ratio?. A ratio is a comparison of two quantities. (Uses division to compare two number). It shows how many times as great one quantity is to another.. Zhiyao Duan ¹ & David Temperley ². Department of Electrical and Computer Engineering. Eastman School of Music. University of Rochester. Presentation at ISMIR 2014. Taipei, Taiwan. October 28, 2014. A comparison between two quantities . For every . x. units of one quantity, there are . y. units of another. A Ratio is…. Using a colon . Example:. . 2:3. As a fraction . Example: . Quiz 6A. . A comparison of two numbers by division. Ratio. . A comparison of two quantities that have different kinds of units. Rate. . A rate in which the second quantity is 1.. Unit Rate. . Ratios, Rates, Unit Rates, & Conversion Factors. Syllabus. Lecture 01 Describing Inverse Problems. Lecture 02 Probability and Measurement Error, Part 1. Lecture 03 Probability and Measurement Error, Part 2 . Lecture 04 The L. 2. Norm and Simple Least Squares.