QUANTITATIVE METHODS CLASSES WEEK SEVEN


 Andra Neal
 1 years ago
 Views:
Transcription
1 QUANTITATIVE METHODS CLASSES WEEK SEVEN Th rgrssion modls studid in prvious classs assum that th rspons variabl is quantitativ. Oftn, howvr, w wish to study social procsss that lad to two diffrnt outcoms. In ths instancs, thn, th rspons variabl is catgorical. For xampl, whn w study unmploymnt, marriag or votr s choic. In th cas of unmploymnt, for xampl, our rspondnts will ithr b mployd or unmployd. Dnot th rspons on Y by 1 if unmployd and 0 if mployd (it is also common to us th trm failur and succss). Th sum of th scors in th sampl is thn th numbr of succsss (i.., unmployd rspondnts). Th man of this rspons variabl (th 0s and 1s scors) quals th proportion of succsss (i.., th proportion of unmployd rspondnts). Obviously, thn, th proportion of mployd rspondnts quals 1that man. Transforming th catgorical rspons variabl (0,1) to proportion allows us to think in trns of rgrssion analysis, sinc th ordinary rgrssion modls th man of th rspons variabl. Lt π dnot th probability of succss, and it is possibl to writ th following linar quation: π=a+b() This is th linar probability modl, and it implis that th probability of succss is a linar function of. Unfortunatly, this modl is oftn poor. First, it implis probabilitis blow 0 and abov 1, whras probabilitis must fall btwn 0 and 1. Scond, th rspons variabl is not normally distributd, and thus it violats som of th assumptions w mak whn applying OLS rgrssion. Thus, w nd to furthr transform our rspons variabl. In othr words, w nd to dscrib th rlationship btwn π and with a curvilinar rathr than a linar function. This can b achivd by th following quation: π log = α + β 1 π Th ratio π/(1 π) quals th odds. Thus, for xampl, whn th proportion of unmployd individuals (succss) in our sampl quals 0.20 th odds quals 0.25 (0.2/0.8=0.25), which mans that a succss is four tims lss likly as failur. This quation uss th natural log of th odds, and is calld th logistic transformation, or logit for short. Thus, as π incrass from 0 to 1, th odds incrass from 0 to +, and th logit incrass from to +. Tabl 1: Rangs of Probability, Odds and Log Odds Lowst Lvl Mid point Highst Lvl Probability π Odds π /1 π Log Odds log (π /1 π) or logit (π) 0 + 1
2 Logistic Rgrssion Th modl: logit (π) =a+b is calld th logistic rgrssion modl. In logistic rgrssion th paramtrs of th modl ar stimatd using th maximumliklihood mthod. That is, th cofficints that mak th obsrvd rsults most likly ar slctd. For ach possibl valu a paramtr might hav, SPSS computs th probability that th obsrvd valu would hav occurrd if it wr th tru valu of th paramtr. Thn, for th stimat, it picks th paramtr for which th probability of th actual obsrvation is gratst. Th quation for logistic rgrssion may b givn in ithr th additiv or multiplicativ forms. Additiv form: log (π/1π) = a + ß Multiplicativ form: π/1π = xp (a) *xp ( ß ) π is th proportion with th charactristic (th probability), a is a constant, ß 1,ß 2... ar cofficints and 1, 2... ar prdictor variabls. log π/1π is known as th logodds and π/1 π as th odds. Exponntial (ß), ar th odds multiplirs and intrst is in valus that diffr from 1. Running Logistic Rgrssion in SPSS Hr w modl th probability of bing unmployd rathr than bing mployd (EMP86). First, w hav to mak sur that EMP86 is codd 1 and 0. It is important to cod th succss as 1. As w ar intrstd in prdicting unmploymnt, th unmployd should b codd 1 and th mployd codd 0 (w simply crat a nw variabl UNEMP: 0=mployd and 1=unmployd). W ar going to us two prdictors: Class and Ag. As Class is a catgorical variabl, w nd to rcod class to a thrcatgory variabl (CLASS1: 10,20=1 (prof); 31,41,42,43,50=2 (intr); and, 32,60,71,72=3 (working)), and thn to crat dummy variabls for Prof, Intr and working. logistic rgrssion variabls=unmp /mthod = ntr prof intr. 2
3 Intrprting th Rsults of a Logistic Rgrssion Modl 1. Assssing th Goodnss of Fit of th Modl On way of assssing goodnss of fit is to xamin how likly th sampl rsults ar, givn th paramtr stimats (rmmbr th modl attmpts to gnrat th paramtr stimats that mak th rsults most likly). Th probability of th obsrvd rsults givn th paramtr stimats is known as th Liklihood. Sinc th liklihood is a small numbr lss than 1, it is customary to us 2 tims th log liklihood (2LL) as an stimat of how wll th modl fits th data. A good modl is on that rsults in a high liklihood of th obsrvd rsults. This translats into a small valu for 2LL (if a modl fits prfctly, th liklihood=1 and 2LL=0) In our modl, 2 Log Liklihood = Modl Summary Stp 2 Log liklihood Cox & Snll R Squar Naglkrk R Squar This is far from zro, howvr bcaus thr is no uppr boundary for 2LL it is difficult to mak a statmnt about th maning of th scor. It is mor oftn usd to s whthr adding additional variabls to th modl lads to a significant rduction in th 2LL. Th diffrnc btwn th 2LL for two modls, with th diffrnc in th dgrs of frdom (which is qual to th diffrnc btwn th numbr of paramtrs for th two modls) has a chisquar distribution. Thus, th significanc of this chang is drivd from th chisquar tabl. To assss th chang btwn diffrnt modls variabls must b addd in stps or blocks, as was don in th OLS rgrssion. If w compar th fit statistics for a modl with just class and on which adds ag w gt th following rsults. Omnibus Tsts of Modl Cofficints Chisquar df Sig. Stp 1 Stp Block Modl Modl Summary Stp 2 Log liklihood Cox & Snll R Squar Naglkrk R Squar Th chisquar figur for th nw block addd in th scond modl shows a chang of (s omnibus tsts tabl) for 1 additional dgr of frdom (AGE). This is significant at th 2.05 lvl (you can chck this on th Chisq ( Χ ) tabl). This tst is comparabl to th F chang tst in th OLS rgrssion. 3
4 2. Th Cofficints. B S.E. Wald Df Sig. Exp(B) AGE PROF INTER Constant a Variabl(s) ntrd on stp 1: AGE, PROF, INTER. Th Bs rfr to th logodds of bing unmployd. W can insrt ths into th logistic rgrssion quation as was don in multipl rgrssion. Additiv form: logit( π ) = α + β + β... + β n n = (.027)( AGE) + ( 1.145)( PROF) + (.722)( INTER) This tlls us that incrasing ag dcrass th log odds of unmploymnt (controlling for class). Bing in th profssional/managrial class or bing in th intrmdiat class also rducs th logodds of bing unmployd rlativ to thos in th working class. Th Wald statistic (B/SE). Most softwar rports its squar (B/SE) 2. Th significanc of th Wald statistic is rportd in th column markd Sig. This shows that th thr prdictor variabls ar significant. If th cofficint is vry larg th Wald statistic can bcom unrliabl so you should rfr to th chang in th log liklihood instad (s blow). Howvr, logodds is not a vry straightforward concpt. It is probably asir to us th multiplicativ form of th quation using xp(b), s last column of th SPSS output. Ths ar th Odds Multiplirs. Multiplicativ form π = (1 π) α β β n n (AGE) 1.145(PROF) 0.722(INTER) = = (AGE) 0.318(PROF) 0.486(INTER) Rmmbr intrst is in cofficints that diffr from 1. Valus gratr than 1 indicat that th variabl in qustion incrass th odds of th dpndnt vnt occurring and valus lss than 1 (i.. btwn 0 and 1) indicat a dcras in th odds. Effctivly th odds for th bas catgory ar st to 1. Using th odds multiplirs w can mak th mor undrstandabl claims that, whn othr factors in th modl ar hld constant: ach addd yar of ag lads to about 3% rduction in th odds of bing unmployd. 4
5 bing in th profssional class, compard to bing in th working class, lads to about 68% rduction in th odds of bing unmployd bing in th intrmdiat class, compard to bing in th working class, lads to about 51% rduction in th odds of bing unmployd. 2. Estimating Probabilitis Th original logistic rgrssion quation can b transformd to show th stimatd probability of succss by: (α + β ) π = (α + β β β β ) β ) 3 3 so for any individual th probability of bing unmployd can b calculatd. Exampl: What is th stimatd probability of bing unmployd for a prson agd 30 in th profssional class? ( (0.27)(30) + ( 1.145)(1) ).137 π = = = =.12 ( (0.27)(30) + ( 1.145)(1) Answr: a 30 yar old profssional has an stimatd probability of bing unmployd of.12. 5
Question 3: How do you find the relative extrema of a function?
ustion 3: How do you find th rlativ trma of a function? Th stratgy for tracking th sign of th drivativ is usful for mor than dtrmining whr a function is incrasing or dcrasing. It is also usful for locating
More informationby John Donald, Lecturer, School of Accounting, Economics and Finance, Deakin University, Australia
Studnt Nots Cost Volum Profit Analysis by John Donald, Lcturr, School of Accounting, Economics and Financ, Dakin Univrsity, Australia As mntiond in th last st of Studnt Nots, th ability to catgoris costs
More informationEcon 371: Answer Key for Problem Set 1 (Chapter 1213)
con 37: Answr Ky for Problm St (Chaptr 23) Instructor: Kanda Naknoi Sptmbr 4, 2005. (2 points) Is it possibl for a country to hav a currnt account dficit at th sam tim and has a surplus in its balanc
More informationNonHomogeneous Systems, Euler s Method, and Exponential Matrix
NonHomognous Systms, Eulr s Mthod, and Exponntial Matrix W carry on nonhomognous firstordr linar systm of diffrntial quations. W will show how Eulr s mthod gnralizs to systms, giving us a numrical approach
More informationParallel and Distributed Programming. Performance Metrics
Paralll and Distributd Programming Prformanc! wo main goals to b achivd with th dsign of aralll alications ar:! Prformanc: th caacity to rduc th tim to solv th roblm whn th comuting rsourcs incras;! Scalability:
More informationThe Matrix Exponential
Th Matrix Exponntial (with xrciss) 92.222  Linar Algbra II  Spring 2006 by D. Klain prliminary vrsion Corrctions and commnts ar wlcom! Th Matrix Exponntial For ach n n complx matrix A, dfin th xponntial
More informationAdverse Selection and Moral Hazard in a Model With 2 States of the World
Advrs Slction and Moral Hazard in a Modl With 2 Stats of th World A modl of a risky situation with two discrt stats of th world has th advantag that it can b natly rprsntd using indiffrnc curv diagrams,
More informationMathematics. Mathematics 3. hsn.uk.net. Higher HSN23000
hsn uknt Highr Mathmatics UNIT Mathmatics HSN000 This documnt was producd spcially for th HSNuknt wbsit, and w rquir that any copis or drivativ works attribut th work to Highr Still Nots For mor dtails
More informationForeign Exchange Markets and Exchange Rates
Microconomics Topic 1: Explain why xchang rats indicat th pric of intrnational currncis and how xchang rats ar dtrmind by supply and dmand for currncis in intrnational markts. Rfrnc: Grgory Mankiw s Principls
More informationThe example is taken from Sect. 1.2 of Vol. 1 of the CPN book.
Rsourc Allocation Abstract This is a small toy xampl which is wllsuitd as a first introduction to Cnts. Th CN modl is dscribd in grat dtail, xplaining th basic concpts of Cnts. Hnc, it can b rad by popl
More informationTraffic Flow Analysis (2)
Traffic Flow Analysis () Statistical Proprtis. Flow rat distributions. Hadway distributions. Spd distributions by Dr. GangLn Chang, Profssor Dirctor of Traffic safty and Oprations Lab. Univrsity of Maryland,
More informationLecture 3: Diffusion: Fick s first law
Lctur 3: Diffusion: Fick s first law Today s topics What is diffusion? What drivs diffusion to occur? Undrstand why diffusion can surprisingly occur against th concntration gradint? Larn how to dduc th
More information5 2 index. e e. Prime numbers. Prime factors and factor trees. Powers. worked example 10. base. power
Prim numbrs W giv spcial nams to numbrs dpnding on how many factors thy hav. A prim numbr has xactly two factors: itslf and 1. A composit numbr has mor than two factors. 1 is a spcial numbr nithr prim
More informationDeer: Predation or Starvation
: Prdation or Starvation National Scinc Contnt Standards: Lif Scinc: s and cosystms Rgulation and Bhavior Scinc in Prsonal and Social Prspctiv s, rsourcs and nvironmnts Unifying Concpts and Procsss Systms,
More informationAP Calculus AB 2008 Scoring Guidelines
AP Calculus AB 8 Scoring Guidlins Th Collg Board: Conncting Studnts to Collg Succss Th Collg Board is a notforprofit mmbrship association whos mission is to connct studnts to collg succss and opportunity.
More informationNew Basis Functions. Section 8. Complex Fourier Series
Nw Basis Functions Sction 8 Complx Fourir Sris Th complx Fourir sris is prsntd first with priod 2, thn with gnral priod. Th connction with th ralvalud Fourir sris is xplaind and formula ar givn for convrting
More informationPrinciples of Humidity Dalton s law
Principls of Humidity Dalton s law Air is a mixtur of diffrnt gass. Th main gas componnts ar: Gas componnt volum [%] wight [%] Nitrogn N 2 78,03 75,47 Oxygn O 2 20,99 23,20 Argon Ar 0,93 1,28 Carbon dioxid
More informationCALCULATING MARGINAL PROBABILITIES IN PROC PROBIT Guy Pascale, Memorial Health Alliance
CALCULATING MARGINAL PROBABILITIES IN PROC PROBIT Guy Pascal, Mmorial Halth Allianc Introduction Th PROBIT procdur within th SAS systm provids a simpl mthod for stimating discrt choic variabls (i.. dichotomous
More informationthe socalled KOBOS system. 1 with the exception of a very small group of the most active stocks which also trade continuously through
Liquidity and InformationBasd Trading on th Ordr Drivn Capital Markt: Th Cas of th Pragu tock Exchang Libor 1ÀPH³HN Cntr for Economic Rsarch and Graduat Education, Charls Univrsity and Th Economic Institut
More informationEFFECT OF GEOMETRICAL PARAMETERS ON HEAT TRANSFER PERFORMACE OF RECTANGULAR CIRCUMFERENTIAL FINS
25 Vol. 3 () JanuaryMarch, pp.375/tripathi EFFECT OF GEOMETRICAL PARAMETERS ON HEAT TRANSFER PERFORMACE OF RECTANGULAR CIRCUMFERENTIAL FINS *Shilpa Tripathi Dpartmnt of Chmical Enginring, Indor Institut
More informationHSBC Bank International Expat Explorer Survey 08
HSBC Bank Intrnational Expat Explorr Survy 08 Rport On: Expat Existnc Th Survy Th Expat Explorr survy qustiond 2,155 xpatriats across four continnts about th opportunitis and challngs thy fac. Th survy
More informationA Theoretical Model of Public Response to the Homeland Security Advisory System
A Thortical Modl of Public Rspons to th Homland Scurity Advisory Systm Amy (Wnxuan) Ding Dpartmnt of Information and Dcision Scincs Univrsity of Illinois Chicago, IL 60607 wxding@uicdu Using a diffrntial
More informationC H A P T E R 1 Writing Reports with SAS
C H A P T E R 1 Writing Rports with SAS Prsnting information in a way that s undrstood by th audinc is fundamntally important to anyon s job. Onc you collct your data and undrstand its structur, you nd
More informationThe Normal Distribution: A derivation from basic principles
Th Normal Distribution: A drivation from basic principls Introduction Dan Tagu Th North Carolina School of Scinc and Mathmatics Studnts in lmntary calculus, statistics, and finit mathmatics classs oftn
More informationIntermediate Macroeconomic Theory / Macroeconomic Analysis (ECON 3560/5040) Final Exam (Answers)
Intrmdiat Macroconomic Thory / Macroconomic Analysis (ECON 3560/5040) Final Exam (Answrs) Part A (5 points) Stat whthr you think ach of th following qustions is tru (T), fals (F), or uncrtain (U) and brifly
More information5.4 Exponential Functions: Differentiation and Integration TOOTLIFTST:
.4 Eponntial Functions: Diffrntiation an Intgration TOOTLIFTST: Eponntial functions ar of th form f ( ) Ab. W will, in this sction, look at a spcific typ of ponntial function whr th bas, b, is.78.... This
More informationStatistical Machine Translation
Statistical Machin Translation Sophi Arnoult, Gidon Mailltt d Buy Wnnigr and Andra Schuch Dcmbr 7, 2010 1 Introduction All th IBM modls, and Statistical Machin Translation (SMT) in gnral, modl th problm
More informationSPECIAL VOWEL SOUNDS
SPECIAL VOWEL SOUNDS Plas consult th appropriat supplmnt for th corrsponding computr softwar lsson. Rfr to th 42 Sounds Postr for ach of th Spcial Vowl Sounds. TEACHER INFORMATION: Spcial Vowl Sounds (SVS)
More informationSUBATOMIC PARTICLES AND ANTIPARTICLES AS DIFFERENT STATES OF THE SAME MICROCOSM OBJECT. Eduard N. Klenov* RostovonDon. Russia
SUBATOMIC PARTICLES AND ANTIPARTICLES AS DIFFERENT STATES OF THE SAME MICROCOSM OBJECT Eduard N. Klnov* RostovonDon. Russia Th distribution law for th valus of pairs of th consrvd additiv quantum numbrs
More informationAbstract. Introduction. Statistical Approach for Analyzing Cell Phone Handoff Behavior. Volume 3, Issue 1, 2009
Volum 3, Issu 1, 29 Statistical Approach for Analyzing Cll Phon Handoff Bhavior Shalini Saxna, Florida Atlantic Univrsity, Boca Raton, FL, shalinisaxna1@gmail.com Sad A. Rajput, Farquhar Collg of Arts
More informationFree ACA SOLUTION (IRS 1094&1095 Reporting)
Fr ACA SOLUTION (IRS 1094&1095 Rporting) Th Insuranc Exchang (301) 2791062 ACA Srvics Transmit IRS Form 1094 C for mployrs Print & mail IRS Form 1095C to mploys HR Assist 360 will gnrat th 1095 s for
More informationKeywords Cloud Computing, Service level agreement, cloud provider, business level policies, performance objectives.
Volum 3, Issu 6, Jun 2013 ISSN: 2277 128X Intrnational Journal of Advancd Rsarch in Computr Scinc and Softwar Enginring Rsarch Papr Availabl onlin at: wwwijarcsscom Dynamic Ranking and Slction of Cloud
More information7 Timetable test 1 The Combing Chart
7 Timtabl tst 1 Th Combing Chart 7.1 Introduction 7.2 Tachr tams two workd xampls 7.3 Th Principl of Compatibility 7.4 Choosing tachr tams workd xampl 7.5 Ruls for drawing a Combing Chart 7.6 Th Combing
More informationCategory 7: Employee Commuting
7 Catgory 7: Employ Commuting Catgory dscription This catgory includs missions from th transportation of mploys 4 btwn thir homs and thir worksits. Emissions from mploy commuting may aris from: Automobil
More informationLecture 20: Emitter Follower and Differential Amplifiers
Whits, EE 3 Lctur 0 Pag of 8 Lctur 0: Emittr Followr and Diffrntial Amplifirs Th nxt two amplifir circuits w will discuss ar ry important to lctrical nginring in gnral, and to th NorCal 40A spcifically.
More informationLogo Design/Development 1on1
Logo Dsign/Dvlopmnt 1on1 If your company is looking to mak an imprssion and grow in th marktplac, you ll nd a logo. Fortunatly, a good graphic dsignr can crat on for you. Whil th pric tags for thos famous
More informationUse a highlevel conceptual data model (ER Model). Identify objects of interest (entities) and relationships between these objects
Chaptr 3: Entity Rlationship Modl Databas Dsign Procss Us a highlvl concptual data modl (ER Modl). Idntify objcts of intrst (ntitis) and rlationships btwn ths objcts Idntify constraints (conditions) End
More informationCPS 220 Theory of Computation REGULAR LANGUAGES. Regular expressions
CPS 22 Thory of Computation REGULAR LANGUAGES Rgular xprssions Lik mathmatical xprssion (5+3) * 4. Rgular xprssion ar built using rgular oprations. (By th way, rgular xprssions show up in various languags:
More informationFinancial Mathematics
Financial Mathatics A ractical Guid for Actuaris and othr Businss rofssionals B Chris Ruckan, FSA & Jo Francis, FSA, CFA ublishd b B rofssional Education Solutions to practic qustions Chaptr 7 Solution
More informationTime to Event Tutorial. Outline. How Not to Understand Time to Event
Holford & Lavill http://www.pagmting.org/dfault.asp?abstract=8 Rvision Errors corrctd slid 8 Tim to Evnt Tutorial Nick Holford Dpt Pharmacology & Clinical Pharmacology Univrsity of Auckland, Nw Zaland
More informationAn Adaptive Clustering MAP Algorithm to Filter Speckle in Multilook SAR Images
An Adaptiv Clustring MAP Algorithm to Filtr Spckl in Multilook SAR Imags FÁTIMA N. S. MEDEIROS 1,3 NELSON D. A. MASCARENHAS LUCIANO DA F. COSTA 1 1 Cybrntic Vision Group IFSC Univrsity of São Paulo Caia
More informationFACULTY SALARIES FALL 2004. NKU CUPA Data Compared To Published National Data
FACULTY SALARIES FALL 2004 NKU CUPA Data Compard To Publishd National Data May 2005 Fall 2004 NKU Faculty Salaris Compard To Fall 2004 Publishd CUPA Data In th fall 2004 Northrn Kntucky Univrsity was among
More informationESTIMATING VEHICLE ROADSIDE ENCROACHMENT FREQUENCY USING ACCIDENT PREDICTION MODELS
ESTMATNG VEHCLE ROADSDE ENCROACHMENT FREQUENCY USNG ACCDENT PREDCTON MODELS ShawPin Miaou Cntr for Transportation Analysis, Enrgy Division Oak Ridg National Laboratory P.O.Box 28,MS 6366, Building 55A
More information(Analytic Formula for the European Normal Black Scholes Formula)
(Analytic Formula for th Europan Normal Black Schols Formula) by Kazuhiro Iwasawa Dcmbr 2, 2001 In this short summary papr, a brif summary of Black Schols typ formula for Normal modl will b givn. Usually
More informationMETHODS FOR HANDLING TIED EVENTS IN THE COX PROPORTIONAL HAZARD MODEL
STUDIA OECONOMICA POSNANIENSIA 204, vol. 2, no. 2 (263 Jadwiga Borucka Warsaw School of Economics, Institut of Statistics and Dmography, Evnt History and Multilvl Analysis Unit jadwiga.borucka@gmail.com
More informationJune 2012. Enprise Rent. Enprise 1.1.6. Author: Document Version: Product: Product Version: SAP Version: 8.81.100 8.8
Jun 22 Enpris Rnt Author: Documnt Vrsion: Product: Product Vrsion: SAP Vrsion: Enpris Enpris Rnt 88 88 Enpris Rnt 22 Enpris Solutions All rights rsrvd No parts of this work may b rproducd in any form or
More informationEstimating Aboveground Tree Biomass on Forest Land in the Pacific Northwest: A Comparison of Approaches
Unitd Stats Dpartmnt of Agricultur Forst Srvic Pacific Southwst Rsarch Station Rsarch Papr PNWRP584 Novmbr 2009 Estimating Abovground Tr Biomass on Forst Land in th Pacific Northwst: A Comparison of
More informationPrincipal Component Analysis & Factor Analysis. Purpose. Principal Component Analysis. Principal Component Analysis. Principal Component Analysis
Principal Componnt Analysis & Factor Analysis Psych 818 DShon Purpos Both ar usd to rduc th dimnsionality of corrlatd masurmnts Can b usd in a purly xploratory fashion to invstigat dimnsionality Or, can
More informationLong run: Law of one price Purchasing Power Parity. Short run: Market for foreign exchange Factors affecting the market for foreign exchange
Lctur 6: Th Forign xchang Markt xchang Rats in th long run CON 34 Mony and Banking Profssor Yamin Ahmad xchang Rats in th Short Run Intrst Parity Big Concpts Long run: Law of on pric Purchasing Powr Parity
More informationSection 55 Inverse of a Square Matrix
 Invrs of a Squar Matrix 9 (D) Rank th playrs from strongst to wakst. Explain th rasoning hind your ranking. 68. Dominan Rlation. Eah mmr of a hss tam plays on math with vry othr playr. Th rsults ar givn
More informationInstallation Saving Spaceefficient Panel Enhanced Physical Durability Enhanced Performance Warranty The IRR Comparison
Contnts Tchnology Nwly Dvlopd Cllo Tchnology Cllo Tchnology : Improvd Absorption of Light Doublsidd Cll Structur Cllo Tchnology : Lss Powr Gnration Loss Extrmly Low LID Clls 3 3 4 4 4 Advantag Installation
More informationHOMEWORK FOR UNIT 51: FORCE AND MOTION
Nam Dat Partnrs HOMEWORK FOR UNIT 51: FORCE AND MOTION 1. You ar givn tn idntial springs. Dsrib how you would dvlop a sal of for (i., a mans of produing rpatabl fors of a varity of sizs) using ths springs.
More informationGOAL SETTING AND PERSONAL MISSION STATEMENT
Prsonal Dvlopmnt Track Sction 4 GOAL SETTING AND PERSONAL MISSION STATEMENT Ky Points 1 Dfining a Vision 2 Writing a Prsonal Mission Statmnt 3 Writing SMART Goals to Support a Vision and Mission If you
More informationNoble gas configuration. Atoms of other elements seek to attain a noble gas electron configuration. Electron configuration of ions
Valnc lctron configuration dtrmins th charactristics of lmnts in a group Nobl gas configuration Th nobl gass (last column in th priodic tabl) ar charactrizd by compltly filld s and p orbitals this is a
More informationME 612 Metal Forming and Theory of Plasticity. 6. Strain
Mtal Forming and Thory of Plasticity mail: azsnalp@gyt.du.tr Makin Mühndisliği Bölümü Gbz Yüksk Tknoloji Enstitüsü 6.1. Uniaxial Strain Figur 6.1 Dfinition of th uniaxial strain (a) Tnsil and (b) Comprssiv.
More informationPerformance Evaluation
Prformanc Evaluation ( ) Contnts lists availabl at ScincDirct Prformanc Evaluation journal hompag: www.lsvir.com/locat/pva Modling Baylik rputation systms: Analysis, charactrization and insuranc mchanism
More informationOverinvestment of free cash flow
Rv Acc Stud (2006) 11:159 189 DOI 10.1007/s1114200690121 Ovrinvstmnt of fr cash flow Scott Richardson Publishd onlin: 23 Jun 2006 Ó Springr Scinc+Businss Mdia, LLC 2006 Abstract This papr xamins th
More informationMONEY ILLUSION IN THE STOCK MARKET: THE MODIGLIANICOHN HYPOTHESIS*
MONEY ILLUSION IN THE STOCK MARKET: THE MODIGLIANICOHN HYPOTHESIS* RANDOLPH B. COHEN CHRISTOPHER POLK TUOMO VUOLTEENAHO Modigliani and Cohn hypothsiz that th stock markt suffrs from mony illusion, discounting
More informationEntityRelationship Model
EntityRlationship Modl Kuanghua Chn Dpartmnt of Library and Information Scinc National Taiwan Univrsity A Company Databas Kps track of a company s mploys, dpartmnts and projcts Aftr th rquirmnts collction
More informationAnalyzing the Economic Efficiency of ebaylike Online Reputation Reporting Mechanisms
A rsarch and ducation initiativ at th MIT Sloan School of Managmnt Analyzing th Economic Efficincy of Baylik Onlin Rputation Rporting Mchanisms Papr Chrysanthos Dllarocas July For mor information, plas
More informationIncomplete 2Port Vector Network Analyzer Calibration Methods
Incomplt Port Vctor Ntwork nalyzr Calibration Mthods. Hnz, N. Tmpon, G. Monastrios, H. ilva 4 RF Mtrology Laboratory Instituto Nacional d Tcnología Industrial (INTI) Bunos irs, rgntina ahnz@inti.gov.ar
More informationRural and Remote Broadband Access: Issues and Solutions in Australia
Rural and Rmot Broadband Accss: Issus and Solutions in Australia Dr Tony Warrn Group Managr Rgulatory Stratgy Tlstra Corp Pag 1 Tlstra in confidnc Ovrviw Australia s gographical siz and population dnsity
More informationClosedform solutions for Guaranteed Minimum Accumulation Benefits
Closdform solutions for Guarantd Minimum Accumulation Bnfits Mikhail Krayzlr, Rudi Zagst and Brnhard Brunnr Abstract Guarantd Minimum Accumulation Bnfit GMAB is on of th variabl annuity products, i..
More informationThe Australian Rules Football Fixed Odds and Line Betting Markets: Econometric Tests for Efficiency and Simulated Betting Systems
Th Australian Ruls Football Fixd Odds and Lin Btting Markts: Economtric Tsts for Efficincy and Simulatd Btting Systms by Adi Schnytzr and Guy Winbrg a Papr to b prsntd at: Th 4 th Binnial Equin Industry
More informationB285141. April 21, 2000. The Honorable Charles B. Rangel Ranking Minority Member Committee on Ways and Means House of Representatives
Unit Stats Gnral Accounting Offic Washington, DC 20548 Halth, Eucation, an Human Srvics Division B285141 April 21, 2000 Th Honorabl Charls B. Rangl Ranking Minority Mmbr Committ on Ways an Mans Hous of
More informationGold versus stock investment: An econometric analysis
Intrnational Journal of Dvlopmnt and Sustainability Onlin ISSN: 2688662 www.isdsnt.com/ijds Volum Numbr, Jun 202, Pag 7 ISDS Articl ID: IJDS20300 Gold vrsus stock invstmnt: An conomtric analysis Martin
More informationBasis risk. When speaking about forward or futures contracts, basis risk is the market
Basis risk Whn spaking about forward or futurs contracts, basis risk is th markt risk mismatch btwn a position in th spot asst and th corrsponding futurs contract. Mor broadly spaking, basis risk (also
More informationCloud and Big Data Summer School, Stockholm, Aug., 2015 Jeffrey D. Ullman
Cloud and Big Data Summr Scool, Stockolm, Aug., 2015 Jffry D. Ullman Givn a st of points, wit a notion of distanc btwn points, group t points into som numbr of clustrs, so tat mmbrs of a clustr ar clos
More informationThe international Internet site of the geoviticulture MCC system Le site Internet international du système CCM géoviticole
Th intrnational Intrnt sit of th goviticultur MCC systm L sit Intrnt intrnational du systèm CCM géoviticol Flávio BELLO FIALHO 1 and Jorg TONIETTO 1 1 Rsarchr, Embrapa Uva Vinho, Caixa Postal 130, 95700000
More informationThe fitness value of information
Oikos 119: 219230, 2010 doi: 10.1111/j.16000706.2009.17781.x, # 2009 Th Authors. Journal compilation # 2009 Oikos Subjct Editor: Knnth Schmidt. Accptd 1 Sptmbr 2009 Th fitnss valu of information Matina
More informationeconstor Make Your Publication Visible
constor Mak Your Publication Visibl A Srvic of Wirtschaft Cntr zbwlibnizinformationszntrum Economics Rich, Robrt; Tracy, Josph Working Papr Th rlationship btwn xpctd inflation, disagrmnt, and uncrtainty:
More informationhttp://www.wwnorton.com/chemistry/tutorials/ch14.htm Repulsive Force
ctivation nrgis http://www.wwnorton.com/chmistry/tutorials/ch14.htm (back to collision thory...) Potntial and Kintic nrgy during a collision + + ngativly chargd lctron cloud Rpulsiv Forc ngativly chargd
More informationIMES DISCUSSION PAPER SERIES
IMES DISCUSSIN PAPER SERIES Th Choic of Invoic Currncy in Intrnational Trad: Implications for th Intrnationalization of th Yn Hiroyuki I, Akira TANI, and Toyoichirou SHIRTA Discussion Papr No. 003E13
More informationRealTime Evaluation of Email Campaign Performance
Singapor Managmnt Univrsity Institutional Knowldg at Singapor Managmnt Univrsity Rsarch Collction L Kong Chian School Of Businss L Kong Chian School of Businss 102008 RalTim Evaluation of Email Campaign
More informationUpper Bounding the Price of Anarchy in Atomic Splittable Selfish Routing
Uppr Bounding th Pric of Anarchy in Atomic Splittabl Slfish Routing Kamyar Khodamoradi 1, Mhrdad Mahdavi, and Mohammad Ghodsi 3 1 Sharif Univrsity of Tchnology, Thran, Iran, khodamoradi@c.sharif.du Sharif
More informationCriminal Offenses  On campus
14 Campus Saf and Scuri Survy Instituti: Main Campus (164933001) Scrning Qustis Plas answr ths qustis carfully. Th answrs you provid will dtrmin which scrns you will b askd to complt for this data collcti.
More informationThe Constrained SkiRental Problem and its Application to Online Cloud Cost Optimization
3 Procdings IEEE INFOCOM Th Constraind SkiRntal Problm and its Application to Onlin Cloud Cost Optimization Ali Khanafr, Murali Kodialam, and Krishna P. N. Puttaswam Coordinatd Scinc Laborator, Univrsit
More informationProduction Costing (Chapter 8 of W&W)
Production Costing (Chaptr 8 of W&W).0 Introduction Production costs rfr to th oprational costs associatd with producing lctric nrgy. Th most significant componnt of production costs ar th ful costs ncssary
More informationArchitecture of the proposed standard
Architctur of th proposd standard Introduction Th goal of th nw standardisation projct is th dvlopmnt of a standard dscribing building srvics (.g.hvac) product catalogus basd on th xprincs mad with th
More information[ ] These are the motor parameters that are needed: Motor voltage constant. J total (lbinsec^2)
MEASURING MOOR PARAMEERS Fil: Motor paramtrs hs ar th motor paramtrs that ar ndd: Motor voltag constant (voltssc/rad Motor torqu constant (lbin/amp Motor rsistanc R a (ohms Motor inductanc L a (Hnris
More informationGovernment Spending or Tax Cuts for Education in Taylor County, Texas
Govrnmnt Spnding or Tax Cuts for Education in Taylor County, Txas Ian Shphrd Abiln Christian Univrsity D Ann Shphrd Abiln Christian Univrsity On Fbruary 17, 2009, Prsidnt Barack Obama signd into law th
More informationSection 3: Logistic Regression
Scton 3: Logstc Rgrsson As our motvaton for logstc rgrsson, w wll consdr th Challngr dsastr, th sx of turtls, collg math placmnt, crdt card scorng, and markt sgmntaton. Th Challngr Dsastr On January 28,
More informationElectronic Commerce. and. Competitive FirstDegree Price Discrimination
Elctronic Commrc and Comptitiv FirstDgr Pric Discrimination David Ulph* and Nir Vulkan ** Fbruary 000 * ESRC Cntr for Economic arning and Social Evolution (ESE), Dpartmnt of Economics, Univrsity Collg
More informationRelationship between Cost of Equity Capital And Voluntary Corporate Disclosures
Rlationship btwn Cost of Equity Capital And Voluntary Corporat Disclosurs Elna Ptrova Eli Lilly & Co, Sofia, Bulgaria Email: ptrova.lnaa@gmail.com Gorgios Gorgakopoulos (Corrsponding author) Amstrdam
More informationAnalysis of Trade Before and After the WTO: A Case Study of India
Global Journal of Financ and Managmnt. ISSN 09756477 Volum 6, Numbr 8 (2014), pp. 801808 Rsarch India Publications http://www.ripublication.com Analysis of Trad Bfor and Aftr th WTO: A Cas Study of India
More informationModeling Motorcycle Accident on Rural Highway
Modling Motorcycl Accidnt on Rural Highway A.K.Sharma, V.S. Landg, and N.V.Dshpand Abstract Motorcyclists ar th most crashpron roadusr group in many Asian countris including India. Statistics of accidnt
More informationA Note on Approximating. the Normal Distribution Function
Applid Mathmatical Scincs, Vol, 00, no 9, 4549 A Not on Approimating th Normal Distribution Function K M Aludaat and M T Alodat Dpartmnt of Statistics Yarmouk Univrsity, Jordan Aludaatkm@hotmailcom and
More informationTheoretical approach to algorithm for metrological comparison of two photothermal methods for measuring of the properties of materials
Rvista Invstigación Cintífica, ol. 4, No. 3, Nuva época, sptimbr dicimbr 8, IN 187 8196 Thortical approach to algorithm for mtrological comparison of two photothrmal mthods for masuring of th proprtis
More informationRemember you can apply online. It s quick and easy. Go to www.gov.uk/advancedlearningloans. Title. Forename(s) Surname. Sex. Male Date of birth D
24+ Advancd Larning Loan Application form Rmmbr you can apply onlin. It s quick and asy. Go to www.gov.uk/advancdlarningloans About this form Complt this form if: you r studying an ligibl cours at an approvd
More informationDehumidifiers: A Major Consumer of Residential Electricity
Dhumidifirs: A Major Consumr of Rsidntial Elctricity Laurn Mattison and Dav Korn, Th Cadmus Group, Inc. ABSTRACT An stimatd 19% of U.S. homs hav dhumidifirs, and thy can account for a substantial portion
More informationExpertMediated Search
ExprtMdiatd Sarch Mnal Chhabra Rnsslar Polytchnic Inst. Dpt. of Computr Scinc Troy, NY, USA chhabm@cs.rpi.du Sanmay Das Rnsslar Polytchnic Inst. Dpt. of Computr Scinc Troy, NY, USA sanmay@cs.rpi.du David
More informationCategory 1: Purchased Goods and Services
1 Catgory 1: Purchasd Goods and Srvics Catgory dscription T his catgory includs all upstram (i.., cradltogat) missions from th production of products purchasd or acquird by th rporting company in th
More informationSPREAD OPTION VALUATION AND THE FAST FOURIER TRANSFORM
RESEARCH PAPERS IN MANAGEMENT STUDIES SPREAD OPTION VALUATION AND THE FAST FOURIER TRANSFORM M.A.H. Dmpstr & S.S.G. Hong WP 26/2000 Th Judg Institut of Managmnt Trumpington Strt Cambridg CB2 1AG Ths paprs
More informationSharp bounds for Sándor mean in terms of arithmetic, geometric and harmonic means
Qian t al. Journal of Inqualitis and Applications (015) 015:1 DOI 10.1186/s166001507411 R E S E A R C H Opn Accss Sharp bounds for Sándor man in trms of arithmtic, gomtric and harmonic mans WiMao Qian
More informationESCI 341 Atmospheric Thermodynamics Lesson 14 Humidity Dr. DeCaria
PARIAL PRESSURE ESCI 341 Atmoshric hrmoynamics Lsson 14 Humiity Dr. DCaria In a mixtur of gass, ach gas scis contributs to th total rssur. ο h rssur xrt by a singl gas scis is known as th artial rssur
More informationA copy of the Consultation Paper is in the Members Library and further details are available at www.scotland~qov.umpublications/2012/12/5980
To: CORPORATE SERVICES COMMITTEE NORTH LANARKSHIRE COUNCIL REPORT Subjct: CONSULTATION: CIVIL LAW OF DAMAGES  ISSUES IN PERSONAL INJURY From: HEAD OF LEGAL SERVICES Dat: 30 JANUARY 2013 Rf: AL LE CSN
More informationThe price of liquidity in constant leverage strategies. Marcos Escobar, Andreas Kiechle, Luis Seco and Rudi Zagst
RACSAM Rv. R. Acad. Cin. Sri A. Mat. VO. 103 2, 2009, pp. 373 385 Matmática Aplicada / Applid Mathmatics Th pric of liquidity in constant lvrag stratgis Marcos Escobar, Andras Kichl, uis Sco and Rudi Zagst
More informationLecture notes: 160B revised 9/28/06 Lecture 1: Exchange Rates and the Foreign Exchange Market FT chapter 13
Lctur nots: 160B rvisd 9/28/06 Lctur 1: xchang Rats and th Forign xchang Markt FT chaptr 13 Topics: xchang Rats Forign xchang markt Asst approach to xchang rats Intrst Rat Parity Conditions 1) Dfinitions
More informationOn the moments of the aggregate discounted claims with dependence introduced by a FGM copula
On th momnts of th aggrgat discountd claims with dpndnc introducd by a FGM copula  Mathiu BARGES Univrsité Lyon, Laboratoir SAF, Univrsité Laval  Hélèn COSSETTE Ecol Actuariat, Univrsité Laval, Québc,
More informationIncreasing Net Debt as a percentage of Average Equalized ValuaOon
City of Orang Township Warning Trnd: Incrasing Nt Dbt as a prcntag of avrag qualizd valuation Nt Dbt 3 yr. Avg. qualizd Valuation Incrasing Nt Dbt as a prcntag of Avrag Equalizd ValuaOon rc 1.20% 1.00%
More information