Adaptive testing for video quality assessment. Vlado Menkovski, MSc Eindhoven University of Technology, NL

Size: px
Start display at page:

Download "Adaptive testing for video quality assessment. Vlado Menkovski, MSc Eindhoven University of Technology, NL Email: v.menkovski@tue."

Transcription

1 Adaptive testing for video quality assessment Vlado Menkovski, MSc Eindhoven University of Technology, NL

2 Video characteristic diversity / V.Menkovski@tue.nl PAGE 1

3 Device diversity / V.Menkovski@tue.nl PAGE 2

4 Diversity in network services Internet Mobile data services Home Network Office Network / V.Menkovski@tue.nl PAGE 3

5 Diversity in content / electrical engineering PAGE 4

6 User aware Network management Perceived Quality / V.Menkovski@tue.nl PAGE 5

7 Rating Mean Opinion Score (MOS) / electrical engineering PAGE 6

8 DMOS variability based on data accessible at / electrical engineering PAGE 7

9 Rating labels vagueness MOS Quality Impairment 5 Excellent Imperceptible 4 Good Perceptible but not annoying 3 Fair Slightly annoying 2 Poor Annoying 1 Bad Very annoying Very Satisfied Satisfied Some Users Satisfied Many Users Dissatisfied Most Users Dissatisfied / electrical engineering PAGE 8

10 Improve Subjective testing 2 Alternative forced choice vs. Rating / V.Menkovski@tue.nl PAGE 9

11 Psychometric testing Psychophysics y quantitatively investigates the relationship between physical stimuli and the sensation of perception / V.Menkovski@tue.nl PAGE 10

12 Psychometric testing The horizontal axis of the Figure represents the physical intensity of the stimuli (amount of bit-rate in the video). The vertical axis is the difference scale, and represents the internal scale for perceived quality of the videos in relation to each other. / V.Menkovski@tue.nl PAGE 11

13 Maximum likelihood difference scaling Which of the two pairs has a bigger difference / V.Menkovski@tue.nl PAGE 12

14 MLDS / V.Menkovski@tue.nl PAGE 13

15 MLDS / electrical engineering PAGE 14

16 MLDS The difference between the first and the second pair is positive / electrical engineering PAGE 15

17 MLDS However, the response is contaminated with a Gaussian noise 0 - / electrical engineering PAGE 16

18 MLDS - 0 / electrical engineering PAGE 17

19 MLDS The probability of selecting the first pair - 0 / electrical engineering PAGE 18

20 MLDS The probability of selecting the second pair - 0 / electrical engineering PAGE 19

21 MLDS The likelihood for all the responses is the multiplication of all individual probabilities L(, ) ( ) 1 ( ) 1 ( ) 1 ( )... / electrical engineering PAGE 20

22 MLDS The likelihood of a set of test would be L(, ) ( ) 1 ( ) 1 ( ) 1 ( )... Given R 1 1 R 2 0 R 3 0 R ; This leaves es one equation with 10 unknown n parameters,,,..., / electrical engineering PAGE 21

23 MLDS Maximizing i i likelihood lih,,,..., Using a generalized linear model to estimate / V.Menkovski@tue.nl PAGE 22

24 Subjective Experiment 10 Different video with 10 different CBR bitrate settings: 2Mbps, 1.5Mbps, 1Mbps,, 256kbs, 128kbs, 64kbps / V.Menkovski@tue.nl PAGE 23

25 Results Relative difference Reference Video Perceived quality vs. bit-rate for 10 CBR videos / V.Menkovski@tue.nl PAGE 24

26 Results standard error / V.Menkovski@tue.nl PAGE 25

27 Fitting a psychometric curve Highly sensitive zone / V.Menkovski@tue.nl PAGE 26

28 Results - Psychometric curves Utility of perceived quality over bit-rate / V.Menkovski@tue.nl PAGE 27

29 Results / electrical engineering PAGE 28

30 Results / electrical engineering PAGE 29

31 Adaptive MLDS 10 For each video we need: Is this necessary? tests m k j i / electrical engineering PAGE 30

32 Adaptive MLDS 10 For each video we need: Is this necessary? tests m k j i k j i l f( x ) ; f( x ) ; f( x ) ; f( x ) ; f( x ) ; i i j j x x x x x i j k l m k k l l m m / electrical engineering PAGE 31

33 Adaptive MLDS k l k m f ( x ) ; f ( x ) ; f ( x ) ; f ( x ) ; f ( x ) ; i i j j k k xi xj xk xl xm i j k l m l l m m xk xl xk xm k l k m xk xl xk xm / electrical engineering PAGE 32

34 Adaptive MLDS If test t T1(x1, 1 x2, x3, x5) first pair is bigger then T2(x1, x2, x3, x4) first pair is bigger as well T1 > T2 > T3 T4 > > < T1 T5 < T6 < / electrical engineering PAGE 33

35 Adaptive MLDS How sure are we in the response of the user to T1? We can actually calculate it, if we know the Ψ values. - 0 / electrical engineering PAGE 34

36 Adaptive MLDS Combining i probabilities biliti PAB ( ) 0.7 PAC ( ) Assumed da and B are independent events and that the answers Y and N symmetric PABC (, ) PABPAC ( ) ( ) PABPAC ( ) ( ) (1 PAB ( ))(1 PAC ( )) PABC (, ) 0.77(7) / electrical engineering PAGE 35

37 Adaptive MLDS 1. Select a random batch of tests 2. Calculate the Psi values using MLDS from test results 3. Calculate the estimates for the remaining tests based on the dependencies and the probabilities of the answers 4. Select a number of tests that have the most uncertain estimates and get the responses for them 5. If the uncertainty in these tests is higher than the desired level el then go to step 2, otherwise finish. / electrical engineering PAGE 36

38 Results / electrical engineering PAGE 37

39 Results Number of results introduced: / electrical engineering PAGE 38

40 Results / electrical engineering PAGE 39

41 Thank you! / V.Menkovski@tue.nl PAGE 40

Analyzing Mission Critical Voice over IP Networks. Michael Todd Gardner

Analyzing Mission Critical Voice over IP Networks. Michael Todd Gardner Analyzing Mission Critical Voice over IP Networks Michael Todd Gardner Organization What is Mission Critical Voice? Why Study Mission Critical Voice over IP? Approach to Analyze Mission Critical Voice

More information

Application Note. Introduction. Definition of Call Quality. Contents. Voice Quality Measurement. Series. Overview

Application Note. Introduction. Definition of Call Quality. Contents. Voice Quality Measurement. Series. Overview Application Note Title Series Date Nov 2014 Overview Voice Quality Measurement Voice over IP Performance Management This Application Note describes commonlyused call quality measurement methods, explains

More information

Linear Threshold Units

Linear Threshold Units Linear Threshold Units w x hx (... w n x n w We assume that each feature x j and each weight w j is a real number (we will relax this later) We will study three different algorithms for learning linear

More information

Lecture 8 : Coordinate Geometry. The coordinate plane The points on a line can be referenced if we choose an origin and a unit of 20

Lecture 8 : Coordinate Geometry. The coordinate plane The points on a line can be referenced if we choose an origin and a unit of 20 Lecture 8 : Coordinate Geometry The coordinate plane The points on a line can be referenced if we choose an origin and a unit of 0 distance on the axis and give each point an identity on the corresponding

More information

Tennessee Department of Education. Task: Sally s Car Loan

Tennessee Department of Education. Task: Sally s Car Loan Tennessee Department of Education Task: Sally s Car Loan Sally bought a new car. Her total cost including all fees and taxes was $15,. She made a down payment of $43. She financed the remaining amount

More information

3.1 Solving Systems Using Tables and Graphs

3.1 Solving Systems Using Tables and Graphs Algebra 2 Chapter 3 3.1 Solve Systems Using Tables & Graphs 3.1 Solving Systems Using Tables and Graphs A solution to a system of linear equations is an that makes all of the equations. To solve a system

More information

Graphs of Polar Equations

Graphs of Polar Equations Graphs of Polar Equations In the last section, we learned how to graph a point with polar coordinates (r, θ). We will now look at graphing polar equations. Just as a quick review, the polar coordinate

More information

List the elements of the given set that are natural numbers, integers, rational numbers, and irrational numbers. (Enter your answers as commaseparated

List the elements of the given set that are natural numbers, integers, rational numbers, and irrational numbers. (Enter your answers as commaseparated MATH 142 Review #1 (4717995) Question 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 Description This is the review for Exam #1. Please work as many problems as possible

More information

Exhibit 7.5: Graph of Total Costs vs. Quantity Produced and Total Revenue vs. Quantity Sold

Exhibit 7.5: Graph of Total Costs vs. Quantity Produced and Total Revenue vs. Quantity Sold 244 13. 7.5 Graphical Approach to CVP Analysis (Break-Even Chart) A break-even chart is a graphical representation of the following on the same axes: 1. Fixed costs 2. Total costs at various levels of

More information

Simple Linear Regression Inference

Simple Linear Regression Inference Simple Linear Regression Inference 1 Inference requirements The Normality assumption of the stochastic term e is needed for inference even if it is not a OLS requirement. Therefore we have: Interpretation

More information

Chapter 1: Looking at Data Section 1.1: Displaying Distributions with Graphs

Chapter 1: Looking at Data Section 1.1: Displaying Distributions with Graphs Types of Variables Chapter 1: Looking at Data Section 1.1: Displaying Distributions with Graphs Quantitative (numerical)variables: take numerical values for which arithmetic operations make sense (addition/averaging)

More information

Monotonicity Hints. Abstract

Monotonicity Hints. Abstract Monotonicity Hints Joseph Sill Computation and Neural Systems program California Institute of Technology email: joe@cs.caltech.edu Yaser S. Abu-Mostafa EE and CS Deptartments California Institute of Technology

More information

Slope-Intercept Equation. Example

Slope-Intercept Equation. Example 1.4 Equations of Lines and Modeling Find the slope and the y intercept of a line given the equation y = mx + b, or f(x) = mx + b. Graph a linear equation using the slope and the y-intercept. Determine

More information

" Y. Notation and Equations for Regression Lecture 11/4. Notation:

 Y. Notation and Equations for Regression Lecture 11/4. Notation: Notation: Notation and Equations for Regression Lecture 11/4 m: The number of predictor variables in a regression Xi: One of multiple predictor variables. The subscript i represents any number from 1 through

More information

6.4 Normal Distribution

6.4 Normal Distribution Contents 6.4 Normal Distribution....................... 381 6.4.1 Characteristics of the Normal Distribution....... 381 6.4.2 The Standardized Normal Distribution......... 385 6.4.3 Meaning of Areas under

More information

Statistical Data Mining. Practical Assignment 3 Discriminant Analysis and Decision Trees

Statistical Data Mining. Practical Assignment 3 Discriminant Analysis and Decision Trees Statistical Data Mining Practical Assignment 3 Discriminant Analysis and Decision Trees In this practical we discuss linear and quadratic discriminant analysis and tree-based classification techniques.

More information

Rapid Evaluation of Perceptual Thresholds

Rapid Evaluation of Perceptual Thresholds Rapid Evaluation of Perceptual Thresholds The Best-Pest Calculator: A web-based application for non-expert users Hans-Jörg Zuberbühler Institute for Hygiene and Applied Physiology (IHA) Swiss Federal Institute

More information

VIRTUAL DESKTOP PERFORMANCE AND QUALITY OF EXPERIENCE UNDERSTANDING THE IMPORTANCE OF A DISTRIBUTED DATA CENTER ARCHITECTURE

VIRTUAL DESKTOP PERFORMANCE AND QUALITY OF EXPERIENCE UNDERSTANDING THE IMPORTANCE OF A DISTRIBUTED DATA CENTER ARCHITECTURE VIRTUAL DESKTOP PERFORMANCE AND QUALITY OF EXPERIENCE UNDERSTANDING THE IMPORTANCE OF A DISTRIBUTED DATA CENTER ARCHITECTURE EXECUTIVE SUMMARY Cloud services, such as virtual desktop infrastructure (VDI),

More information

A Log-Robust Optimization Approach to Portfolio Management

A Log-Robust Optimization Approach to Portfolio Management A Log-Robust Optimization Approach to Portfolio Management Dr. Aurélie Thiele Lehigh University Joint work with Ban Kawas Research partially supported by the National Science Foundation Grant CMMI-0757983

More information

ENSC 427: Communication Networks. Analysis of Voice over IP performance on Wi-Fi networks

ENSC 427: Communication Networks. Analysis of Voice over IP performance on Wi-Fi networks ENSC 427: Communication Networks Spring 2010 OPNET Final Project Analysis of Voice over IP performance on Wi-Fi networks Group 14 members: Farzad Abasi (faa6@sfu.ca) Ehsan Arman (eaa14@sfu.ca) http://www.sfu.ca/~faa6

More information

Writing the Equation of a Line in Slope-Intercept Form

Writing the Equation of a Line in Slope-Intercept Form Writing the Equation of a Line in Slope-Intercept Form Slope-Intercept Form y = mx + b Example 1: Give the equation of the line in slope-intercept form a. With y-intercept (0, 2) and slope -9 b. Passing

More information

How To Test Video Quality With Real Time Monitor

How To Test Video Quality With Real Time Monitor White Paper Real Time Monitoring Explained Video Clarity, Inc. 1566 La Pradera Dr Campbell, CA 95008 www.videoclarity.com 408-379-6952 Version 1.0 A Video Clarity White Paper page 1 of 7 Real Time Monitor

More information

DESCRIPTIVE STATISTICS. The purpose of statistics is to condense raw data to make it easier to answer specific questions; test hypotheses.

DESCRIPTIVE STATISTICS. The purpose of statistics is to condense raw data to make it easier to answer specific questions; test hypotheses. DESCRIPTIVE STATISTICS The purpose of statistics is to condense raw data to make it easier to answer specific questions; test hypotheses. DESCRIPTIVE VS. INFERENTIAL STATISTICS Descriptive To organize,

More information

Pre-Calculus Math 12 First Assignment

Pre-Calculus Math 12 First Assignment Name: Pre-Calculus Math 12 First Assignment This assignment consists of two parts, a review of function notation and an introduction to translating graphs of functions. It is the first work for the Pre-Calculus

More information

Using Excel (Microsoft Office 2007 Version) for Graphical Analysis of Data

Using Excel (Microsoft Office 2007 Version) for Graphical Analysis of Data Using Excel (Microsoft Office 2007 Version) for Graphical Analysis of Data Introduction In several upcoming labs, a primary goal will be to determine the mathematical relationship between two variable

More information

Name: Date: Use the following to answer questions 2-3:

Name: Date: Use the following to answer questions 2-3: Name: Date: 1. A study is conducted on students taking a statistics class. Several variables are recorded in the survey. Identify each variable as categorical or quantitative. A) Type of car the student

More information

Detection Sensitivity and Response Bias

Detection Sensitivity and Response Bias Detection Sensitivity and Response Bias Lewis O. Harvey, Jr. Department of Psychology University of Colorado Boulder, Colorado The Brain (Observable) Stimulus System (Observable) Response System (Observable)

More information

STT315 Chapter 4 Random Variables & Probability Distributions KM. Chapter 4.5, 6, 8 Probability Distributions for Continuous Random Variables

STT315 Chapter 4 Random Variables & Probability Distributions KM. Chapter 4.5, 6, 8 Probability Distributions for Continuous Random Variables Chapter 4.5, 6, 8 Probability Distributions for Continuous Random Variables Discrete vs. continuous random variables Examples of continuous distributions o Uniform o Exponential o Normal Recall: A random

More information

Deterministic and Stochastic Modeling of Insulin Sensitivity

Deterministic and Stochastic Modeling of Insulin Sensitivity Deterministic and Stochastic Modeling of Insulin Sensitivity Master s Thesis in Engineering Mathematics and Computational Science ELÍN ÖSP VILHJÁLMSDÓTTIR Department of Mathematical Science Chalmers University

More information

HYPOTHESIS TESTING: POWER OF THE TEST

HYPOTHESIS TESTING: POWER OF THE TEST HYPOTHESIS TESTING: POWER OF THE TEST The first 6 steps of the 9-step test of hypothesis are called "the test". These steps are not dependent on the observed data values. When planning a research project,

More information

UNIVERSITY OF CALIFORNIA AT BERKELEY College of Engineering Department of Electrical Engineering and Computer Sciences. EE105 Lab Experiments

UNIVERSITY OF CALIFORNIA AT BERKELEY College of Engineering Department of Electrical Engineering and Computer Sciences. EE105 Lab Experiments UNIVERSITY OF CALIFORNIA AT BERKELEY College of Engineering Department of Electrical Engineering and Computer Sciences EE15 Lab Experiments Bode Plot Tutorial Contents 1 Introduction 1 2 Bode Plots Basics

More information

HMRC Tax Credits Error and Fraud Additional Capacity Trial. Customer Experience Survey Report on Findings. HM Revenue and Customs Research Report 306

HMRC Tax Credits Error and Fraud Additional Capacity Trial. Customer Experience Survey Report on Findings. HM Revenue and Customs Research Report 306 HMRC Tax Credits Error and Fraud Additional Capacity Trial Customer Experience Survey Report on Findings HM Revenue and Customs Research Report 306 TNS BMRB February2014 Crown Copyright 2014 JN119315 Disclaimer

More information

Goal We want to know. Introduction. What is VoIP? Carrier Grade VoIP. What is Meant by Carrier-Grade? What is Meant by VoIP? Why VoIP?

Goal We want to know. Introduction. What is VoIP? Carrier Grade VoIP. What is Meant by Carrier-Grade? What is Meant by VoIP? Why VoIP? Goal We want to know Introduction What is Meant by Carrier-Grade? What is Meant by VoIP? Why VoIP? VoIP Challenges 2 Carrier Grade VoIP Carrier grade Extremely high availability 99.999% reliability (high

More information

Equations. #1-10 Solve for the variable. Inequalities. 1. Solve the inequality: 2 5 7. 2. Solve the inequality: 4 0

Equations. #1-10 Solve for the variable. Inequalities. 1. Solve the inequality: 2 5 7. 2. Solve the inequality: 4 0 College Algebra Review Problems for Final Exam Equations #1-10 Solve for the variable 1. 2 1 4 = 0 6. 2 8 7 2. 2 5 3 7. = 3. 3 9 4 21 8. 3 6 9 18 4. 6 27 0 9. 1 + log 3 4 5. 10. 19 0 Inequalities 1. Solve

More information

Decision Theory. 36.1 Rational prospecting

Decision Theory. 36.1 Rational prospecting 36 Decision Theory Decision theory is trivial, apart from computational details (just like playing chess!). You have a choice of various actions, a. The world may be in one of many states x; which one

More information

Jitter Measurements in Serial Data Signals

Jitter Measurements in Serial Data Signals Jitter Measurements in Serial Data Signals Michael Schnecker, Product Manager LeCroy Corporation Introduction The increasing speed of serial data transmission systems places greater importance on measuring

More information

Understanding and Applying Kalman Filtering

Understanding and Applying Kalman Filtering Understanding and Applying Kalman Filtering Lindsay Kleeman Department of Electrical and Computer Systems Engineering Monash University, Clayton 1 Introduction Objectives: 1. Provide a basic understanding

More information

CS 2750 Machine Learning. Lecture 1. Machine Learning. http://www.cs.pitt.edu/~milos/courses/cs2750/ CS 2750 Machine Learning.

CS 2750 Machine Learning. Lecture 1. Machine Learning. http://www.cs.pitt.edu/~milos/courses/cs2750/ CS 2750 Machine Learning. Lecture Machine Learning Milos Hauskrecht milos@cs.pitt.edu 539 Sennott Square, x5 http://www.cs.pitt.edu/~milos/courses/cs75/ Administration Instructor: Milos Hauskrecht milos@cs.pitt.edu 539 Sennott

More information

Linear Programming Problems

Linear Programming Problems Linear Programming Problems Linear programming problems come up in many applications. In a linear programming problem, we have a function, called the objective function, which depends linearly on a number

More information

5. Equations of Lines: slope intercept & point slope

5. Equations of Lines: slope intercept & point slope 5. Equations of Lines: slope intercept & point slope Slope of the line m rise run Slope-Intercept Form m + b m is slope; b is -intercept Point-Slope Form m( + or m( Slope of parallel lines m m (slopes

More information

IBM SPSS Direct Marketing 23

IBM SPSS Direct Marketing 23 IBM SPSS Direct Marketing 23 Note Before using this information and the product it supports, read the information in Notices on page 25. Product Information This edition applies to version 23, release

More information

Key Concept. Density Curve

Key Concept. Density Curve MAT 155 Statistical Analysis Dr. Claude Moore Cape Fear Community College Chapter 6 Normal Probability Distributions 6 1 Review and Preview 6 2 The Standard Normal Distribution 6 3 Applications of Normal

More information

Project Portfolio Management Planning: A Method for Prioritizing Projects

Project Portfolio Management Planning: A Method for Prioritizing Projects Portfolio Management Planning: A Method for Prioritizing s Presented by: Mike Ross, Chief Engineer Galorath Incorporated 100 North Sepulveda Boulevard Suite 1801 El Segundo, California 90245 480.488.8366

More information

Cadena de suministro. Mtro. William H. Delano Frier

Cadena de suministro. Mtro. William H. Delano Frier Cadena de suministro Mtro. William H. Delano Frier Module 4 Location Strategics Facility Location Location Planning Models Qualitative Quantitative Location Planning The need of a Location Planning Influence

More information

Functions. MATH 160, Precalculus. J. Robert Buchanan. Fall 2011. Department of Mathematics. J. Robert Buchanan Functions

Functions. MATH 160, Precalculus. J. Robert Buchanan. Fall 2011. Department of Mathematics. J. Robert Buchanan Functions Functions MATH 160, Precalculus J. Robert Buchanan Department of Mathematics Fall 2011 Objectives In this lesson we will learn to: determine whether relations between variables are functions, use function

More information

Mobile Phone Monitor Software User s Manual

Mobile Phone Monitor Software User s Manual Mobile Phone Monitor Software User s Manual Based on Symbian OS Table of Contents 1 OVERVIEW... 3 1.1 General Introduction...3 1.2 Feature...3 1.3 Environment...3 2 SOFTWARE INSTALLATION... 4 3 OPERATION...

More information

PARABOLAS AND THEIR FEATURES

PARABOLAS AND THEIR FEATURES STANDARD FORM PARABOLAS AND THEIR FEATURES If a! 0, the equation y = ax 2 + bx + c is the standard form of a quadratic function and its graph is a parabola. If a > 0, the parabola opens upward and the

More information

RESCORLA-WAGNER MODEL

RESCORLA-WAGNER MODEL RESCORLA-WAGNER, LearningSeminar, page 1 RESCORLA-WAGNER MODEL I. HISTORY A. Ever since Pavlov, it was assumed that any CS followed contiguously by any US would result in conditioning. B. Not true: Contingency

More information

The Artificial Prediction Market

The Artificial Prediction Market The Artificial Prediction Market Adrian Barbu Department of Statistics Florida State University Joint work with Nathan Lay, Siemens Corporate Research 1 Overview Main Contributions A mathematical theory

More information

This can dilute the significance of a departure from the null hypothesis. We can focus the test on departures of a particular form.

This can dilute the significance of a departure from the null hypothesis. We can focus the test on departures of a particular form. One-Degree-of-Freedom Tests Test for group occasion interactions has (number of groups 1) number of occasions 1) degrees of freedom. This can dilute the significance of a departure from the null hypothesis.

More information

4.3 Areas under a Normal Curve

4.3 Areas under a Normal Curve 4.3 Areas under a Normal Curve Like the density curve in Section 3.4, we can use the normal curve to approximate areas (probabilities) between different values of Y that follow a normal distribution Y

More information

7.1 Graphs of Quadratic Functions in Vertex Form

7.1 Graphs of Quadratic Functions in Vertex Form 7.1 Graphs of Quadratic Functions in Vertex Form Quadratic Function in Vertex Form A quadratic function in vertex form is a function that can be written in the form f (x) = a(x! h) 2 + k where a is called

More information

3. Solve the equation containing only one variable for that variable.

3. Solve the equation containing only one variable for that variable. Question : How do you solve a system of linear equations? There are two basic strategies for solving a system of two linear equations and two variables. In each strategy, one of the variables is eliminated

More information

Parametric Statistical Modeling

Parametric Statistical Modeling Parametric Statistical Modeling ECE 275A Statistical Parameter Estimation Ken Kreutz-Delgado ECE Department, UC San Diego Ken Kreutz-Delgado (UC San Diego) ECE 275A SPE Version 1.1 Fall 2012 1 / 12 Why

More information

Chapter 4 and 5 solutions

Chapter 4 and 5 solutions Chapter 4 and 5 solutions 4.4. Three different washing solutions are being compared to study their effectiveness in retarding bacteria growth in five gallon milk containers. The analysis is done in a laboratory,

More information

HW 10. = 3.3 GPa (483,000 psi)

HW 10. = 3.3 GPa (483,000 psi) HW 10 Problem 15.1 Elastic modulus and tensile strength of poly(methyl methacrylate) at room temperature [20 C (68 F)]. Compare these with the corresponding values in Table 15.1. Figure 15.3 is accurate;

More information

Statistical Models in Data Mining

Statistical Models in Data Mining Statistical Models in Data Mining Sargur N. Srihari University at Buffalo The State University of New York Department of Computer Science and Engineering Department of Biostatistics 1 Srihari Flood of

More information

Chapter 5: Normal Probability Distributions - Solutions

Chapter 5: Normal Probability Distributions - Solutions Chapter 5: Normal Probability Distributions - Solutions Note: All areas and z-scores are approximate. Your answers may vary slightly. 5.2 Normal Distributions: Finding Probabilities If you are given that

More information

AP CALCULUS AB 2006 SCORING GUIDELINES (Form B) Question 4

AP CALCULUS AB 2006 SCORING GUIDELINES (Form B) Question 4 AP CALCULUS AB 2006 SCORING GUIDELINES (Form B) Question 4 The rate, in calories per minute, at which a person using an exercise machine burns calories is modeled by the function 1 3 3 2 f. In the figure

More information

Part 1: Background - Graphing

Part 1: Background - Graphing Department of Physics and Geology Graphing Astronomy 1401 Equipment Needed Qty Computer with Data Studio Software 1 1.1 Graphing Part 1: Background - Graphing In science it is very important to find and

More information

Unit 9 Describing Relationships in Scatter Plots and Line Graphs

Unit 9 Describing Relationships in Scatter Plots and Line Graphs Unit 9 Describing Relationships in Scatter Plots and Line Graphs Objectives: To construct and interpret a scatter plot or line graph for two quantitative variables To recognize linear relationships, non-linear

More information

Gamma Distribution Fitting

Gamma Distribution Fitting Chapter 552 Gamma Distribution Fitting Introduction This module fits the gamma probability distributions to a complete or censored set of individual or grouped data values. It outputs various statistics

More information

Manual for SOA Exam MLC.

Manual for SOA Exam MLC. Chapter 4. Life Insurance. Extract from: Arcones Manual for the SOA Exam MLC. Fall 2009 Edition. available at http://www.actexmadriver.com/ 1/14 Level benefit insurance in the continuous case In this chapter,

More information

Exercise 1.12 (Pg. 22-23)

Exercise 1.12 (Pg. 22-23) Individuals: The objects that are described by a set of data. They may be people, animals, things, etc. (Also referred to as Cases or Records) Variables: The characteristics recorded about each individual.

More information

The Normal distribution

The Normal distribution The Normal distribution The normal probability distribution is the most common model for relative frequencies of a quantitative variable. Bell-shaped and described by the function f(y) = 1 2σ π e{ 1 2σ

More information

ANALYSIS OF LONG DISTANCE 3-WAY CONFERENCE CALLING WITH VOIP

ANALYSIS OF LONG DISTANCE 3-WAY CONFERENCE CALLING WITH VOIP ENSC 427: Communication Networks ANALYSIS OF LONG DISTANCE 3-WAY CONFERENCE CALLING WITH VOIP Spring 2010 Final Project Group #6: Gurpal Singh Sandhu Sasan Naderi Claret Ramos (gss7@sfu.ca) (sna14@sfu.ca)

More information

Graphing Quadratic Functions

Graphing Quadratic Functions Problem 1 The Parabola Examine the data in L 1 and L to the right. Let L 1 be the x- value and L be the y-values for a graph. 1. How are the x and y-values related? What pattern do you see? To enter the

More information

Descriptive Statistics

Descriptive Statistics Y520 Robert S Michael Goal: Learn to calculate indicators and construct graphs that summarize and describe a large quantity of values. Using the textbook readings and other resources listed on the web

More information

Perform: Monitor to Assure a Great User Experience

Perform: Monitor to Assure a Great User Experience Whitepaper Perform: Monitor to Assure a Great User Experience Introduction IP-based network infrastructures provide many benefits. They open the door to creating a Unified Communications (UC) environment

More information

How To Compare Organic And Conventional Orange Juice

How To Compare Organic And Conventional Orange Juice Conventional vs Organic A Market Research and Sensory Case Study September 19, 2013 International Citrus & Beverage Conference Sheraton Sand Key Resort Clearwater Beach, FL Presented by: Dr. Lisa House

More information

Graphic Designing with Transformed Functions

Graphic Designing with Transformed Functions Math Objectives Students will be able to identify a restricted domain interval and use function translations and dilations to choose and position a portion of the graph accurately in the plane to match

More information

Høgskolen i Narvik Sivilingeniørutdanningen STE6237 ELEMENTMETODER. Oppgaver

Høgskolen i Narvik Sivilingeniørutdanningen STE6237 ELEMENTMETODER. Oppgaver Høgskolen i Narvik Sivilingeniørutdanningen STE637 ELEMENTMETODER Oppgaver Klasse: 4.ID, 4.IT Ekstern Professor: Gregory A. Chechkin e-mail: chechkin@mech.math.msu.su Narvik 6 PART I Task. Consider two-point

More information

Practice Problems for Homework #6. Normal distribution and Central Limit Theorem.

Practice Problems for Homework #6. Normal distribution and Central Limit Theorem. Practice Problems for Homework #6. Normal distribution and Central Limit Theorem. 1. Read Section 3.4.6 about the Normal distribution and Section 4.7 about the Central Limit Theorem. 2. Solve the practice

More information

LECTURE #31. Telephone Services. Data Communication (CS601) Common carrier Services & Hierarchies

LECTURE #31. Telephone Services. Data Communication (CS601) Common carrier Services & Hierarchies LECTURE #31 Telephone Services Common carrier Services & Hierarchies o Telephone companies began by providing their subscribers with ANALOG services using ANALOG networks o Later digital services were

More information

Scientific Graphing in Excel 2010

Scientific Graphing in Excel 2010 Scientific Graphing in Excel 2010 When you start Excel, you will see the screen below. Various parts of the display are labelled in red, with arrows, to define the terms used in the remainder of this overview.

More information

MEASURES OF VARIATION

MEASURES OF VARIATION NORMAL DISTRIBTIONS MEASURES OF VARIATION In statistics, it is important to measure the spread of data. A simple way to measure spread is to find the range. But statisticians want to know if the data are

More information

Diagrams and Graphs of Statistical Data

Diagrams and Graphs of Statistical Data Diagrams and Graphs of Statistical Data One of the most effective and interesting alternative way in which a statistical data may be presented is through diagrams and graphs. There are several ways in

More information

Algebra 1 Practice Keystone Exam

Algebra 1 Practice Keystone Exam Algebra 1 Practice Keystone Exam 1. Which of the following inequalities is true for ALL real values of x? a. x 3! x 2 b. 3x 2! 2x 3 c. (2x) 2! 3x 2 d. 3(x! 2) 2 " 3x 2! 2 2. An expression is shown to the

More information

/SOLUTIONS/ where a, b, c and d are positive constants. Study the stability of the equilibria of this system based on linearization.

/SOLUTIONS/ where a, b, c and d are positive constants. Study the stability of the equilibria of this system based on linearization. echnische Universiteit Eindhoven Faculteit Elektrotechniek NIE-LINEAIRE SYSEMEN / NEURALE NEWERKEN (P6) gehouden op donderdag maart 7, van 9: tot : uur. Dit examenonderdeel bestaat uit 8 opgaven. /SOLUIONS/

More information

Nonlinear Regression Functions. SW Ch 8 1/54/

Nonlinear Regression Functions. SW Ch 8 1/54/ Nonlinear Regression Functions SW Ch 8 1/54/ The TestScore STR relation looks linear (maybe) SW Ch 8 2/54/ But the TestScore Income relation looks nonlinear... SW Ch 8 3/54/ Nonlinear Regression General

More information

or, put slightly differently, the profit maximizing condition is for marginal revenue to equal marginal cost:

or, put slightly differently, the profit maximizing condition is for marginal revenue to equal marginal cost: Chapter 9 Lecture Notes 1 Economics 35: Intermediate Microeconomics Notes and Sample Questions Chapter 9: Profit Maximization Profit Maximization The basic assumption here is that firms are profit maximizing.

More information

Lecture 11: Chapter 5, Section 3 Relationships between Two Quantitative Variables; Correlation

Lecture 11: Chapter 5, Section 3 Relationships between Two Quantitative Variables; Correlation Lecture 11: Chapter 5, Section 3 Relationships between Two Quantitative Variables; Correlation Display and Summarize Correlation for Direction and Strength Properties of Correlation Regression Line Cengage

More information

AIR DISTRIBUTION FOR COMFORT AND IAQ

AIR DISTRIBUTION FOR COMFORT AND IAQ AIR DISTRIBUTION FOR COMFORT AND IAQ Heating Piping and Air Conditioning March 1998 Dan Int-Hout Chief Engineer KRUEGER EXCELLENCE IN AIR DISTRIBUTION Modern environmentally controlled spaces consume significant

More information

Coding and decoding with convolutional codes. The Viterbi Algor

Coding and decoding with convolutional codes. The Viterbi Algor Coding and decoding with convolutional codes. The Viterbi Algorithm. 8 Block codes: main ideas Principles st point of view: infinite length block code nd point of view: convolutions Some examples Repetition

More information

idmss(ipad/iphone) Mobile Client Software User s Manual

idmss(ipad/iphone) Mobile Client Software User s Manual idmss(ipad/iphone) Mobile Client Software User s Manual IPhone/IPad Self adaptive Contents 1 OVERVIEW...3 1.1 General Introduction...3 1.2 Feature...3 1.3 Environment...3 2 SOFTWARE INSTRUCTION...4 2.1

More information

EXPERIMENTAL ERROR AND DATA ANALYSIS

EXPERIMENTAL ERROR AND DATA ANALYSIS EXPERIMENTAL ERROR AND DATA ANALYSIS 1. INTRODUCTION: Laboratory experiments involve taking measurements of physical quantities. No measurement of any physical quantity is ever perfectly accurate, except

More information

COMPARISONS OF CUSTOMER LOYALTY: PUBLIC & PRIVATE INSURANCE COMPANIES.

COMPARISONS OF CUSTOMER LOYALTY: PUBLIC & PRIVATE INSURANCE COMPANIES. 277 CHAPTER VI COMPARISONS OF CUSTOMER LOYALTY: PUBLIC & PRIVATE INSURANCE COMPANIES. This chapter contains a full discussion of customer loyalty comparisons between private and public insurance companies

More information

AP Physics 1 and 2 Lab Investigations

AP Physics 1 and 2 Lab Investigations AP Physics 1 and 2 Lab Investigations Student Guide to Data Analysis New York, NY. College Board, Advanced Placement, Advanced Placement Program, AP, AP Central, and the acorn logo are registered trademarks

More information

Quantitative vs. Categorical Data: A Difference Worth Knowing Stephen Few April 2005

Quantitative vs. Categorical Data: A Difference Worth Knowing Stephen Few April 2005 Quantitative vs. Categorical Data: A Difference Worth Knowing Stephen Few April 2005 When you create a graph, you step through a series of choices, including which type of graph you should use and several

More information

Users Perceptive Evaluation of Bus Arrival Time Deviations in Stochastic Networks

Users Perceptive Evaluation of Bus Arrival Time Deviations in Stochastic Networks Users Perceptive Evaluation of Bus Arrival Time Deviations in Stochastic Networks Users Perceptive Evaluation of Bus Arrival Time Deviations in Stochastic Networks Nikolaos G. Daskalakis, Anthony Stathopoulos

More information

D) Marginal revenue is the rate at which total revenue changes with respect to changes in output.

D) Marginal revenue is the rate at which total revenue changes with respect to changes in output. Ch. 9 1. Which of the following is not an assumption of a perfectly competitive market? A) Fragmented industry B) Differentiated product C) Perfect information D) Equal access to resources 2. Which of

More information

Economics 1011a: Intermediate Microeconomics

Economics 1011a: Intermediate Microeconomics Lecture 11: Choice Under Uncertainty Economics 1011a: Intermediate Microeconomics Lecture 11: Choice Under Uncertainty Tuesday, October 21, 2008 Last class we wrapped up consumption over time. Today we

More information

How To Calculate A Multiiperiod Probability Of Default

How To Calculate A Multiiperiod Probability Of Default Mean of Ratios or Ratio of Means: statistical uncertainty applied to estimate Multiperiod Probability of Default Matteo Formenti 1 Group Risk Management UniCredit Group Università Carlo Cattaneo September

More information

CS 688 Pattern Recognition Lecture 4. Linear Models for Classification

CS 688 Pattern Recognition Lecture 4. Linear Models for Classification CS 688 Pattern Recognition Lecture 4 Linear Models for Classification Probabilistic generative models Probabilistic discriminative models 1 Generative Approach ( x ) p C k p( C k ) Ck p ( ) ( x Ck ) p(

More information

Relationships Between Two Variables: Scatterplots and Correlation

Relationships Between Two Variables: Scatterplots and Correlation Relationships Between Two Variables: Scatterplots and Correlation Example: Consider the population of cars manufactured in the U.S. What is the relationship (1) between engine size and horsepower? (2)

More information

Amajor benefit of Monte-Carlo schedule analysis is to

Amajor benefit of Monte-Carlo schedule analysis is to 2005 AACE International Transactions RISK.10 The Benefits of Monte- Carlo Schedule Analysis Mr. Jason Verschoor, P.Eng. Amajor benefit of Monte-Carlo schedule analysis is to expose underlying risks to

More information

Unraveling versus Unraveling: A Memo on Competitive Equilibriums and Trade in Insurance Markets

Unraveling versus Unraveling: A Memo on Competitive Equilibriums and Trade in Insurance Markets Unraveling versus Unraveling: A Memo on Competitive Equilibriums and Trade in Insurance Markets Nathaniel Hendren January, 2014 Abstract Both Akerlof (1970) and Rothschild and Stiglitz (1976) show that

More information

Chapter 4. Forces and Newton s Laws of Motion. continued

Chapter 4. Forces and Newton s Laws of Motion. continued Chapter 4 Forces and Newton s Laws of Motion continued 4.9 Static and Kinetic Frictional Forces When an object is in contact with a surface forces can act on the objects. The component of this force acting

More information

An Introduction to Machine Learning

An Introduction to Machine Learning An Introduction to Machine Learning L5: Novelty Detection and Regression Alexander J. Smola Statistical Machine Learning Program Canberra, ACT 0200 Australia Alex.Smola@nicta.com.au Tata Institute, Pune,

More information