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This 7 page Class Notes was uploaded by Aileen Davis on Tuesday October 20, 2015. The Class Notes belongs to MATH0013 at Sierra College taught by JohnBurke in Fall. Since its upload, it has received 24 views. For similar materials see /class/225377/math0013-sierra-college in Mathematics (M) at Sierra College.
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Date Created: 10/20/15
Sierra College Math 13 Spring 2009 Class 3334 lnstrdetbr Juhn Burk Ermall luhniburkemlndsprlng ebrn Web Page httb rnath slerracullege EduSta Juhn urke Telebhbne BlESSlDAZE omee hbdrs mam MW 2 3575 nus M 2 4573 45 u lclal Tuday Sectluns 1376 157 Revlevv Prbleet Presentatluns Asslgnment 136 3 as 7 as l l la Next Flnal Exam 136 Rank Correlation ln Chapterl we used palred sarnble quantltatlve data tb ebrnbdte valuesfur the hnearebnelatbn cuefflclent ln thls seetbn we use ranks as the basls fur measurlng the strength utthe urrelatlun between twb varlables The rank correlation test an Spearm an39s rank correlation Eunslstlng btrnatehed palrs ltls used tb test furan aSSDElatan between twb varlables HE there is no correlation between the two variables H1 there is a correlation between the two variables 136 Rank Correla n cont Assumptions 7 There lS nu requlrement that the sample palrs uf data s b have a blvarlate nbrrnal dlstrlbutlbn Therel n reddnernenldl an b Wan n Notation 7 rank urrelatlun ebenlelenttbrsarnble palred data number uf palrs uf sample data palr e as the rank urrelatlun ebernelenttbrthe entne ulatlun 136 Rank Correlation cont Test statistic s A er converting the data in each sam ranks ifthere are no ties among ranks for either van39able thtttt39tquot Iltd eessalslclscacuae as 62012 HO2 71 Ti s A er converting the data in each sample to ranks i f either variable has ties among its ranks the test statistic is calculated as nx 2 2 X 2 y In xirqx lnqyirqy 136 Rank Correlation cont Critical values Ifn s 30 critical values are found in Table A9 page 783 Ifn gt30use where z is the zscore critical value corresponding to the signi cance level Drnpme r r Fm the mm 3 CorrelationCorrelation d2 mi 71 Txes mung exthznmk Example Does Practice Help A pmbaH machme s usedtu measure the Earmng that resuns frum repeatmg manual functmns Sumeets are Nme semeets are randum y selected smere summent ewdenee m suppunthe awmthatthere s an assumatmn between the numberufgames played and the astpmbaH seure m mHhuns Enterthe data mm yuur calculatur Example Does Practice Help F39mbaH Scares versus Games Played Rank Correla on Using the TI83 Plus Type m the x yames m LT and the y Li X yaTdes m L3 g E 72 LT L3 ascendmg ur deseendmg We depende upun the prub em SurWLuL 9W SUPWLILzyLI Duns Type he ranan uf x determmed by the I and m L2 LmR ng est Sun LS LZ U aseendmg urdescendmg wa and we a Type the rankmgs m L4 F39Erfurm the hnear regressmn Est STAT 9 TESTS 9 E LmRegTTestvwm L2 and L4 Ranklngs of Bus Schools Busmess Week magazme ranked busmess Schums Wu dT erent We 5 uf urpurate manners and graduate rankmgs were based un surveys uf MBA graduates The tame be uvv 5 based an the resu tsfurm semde Usmg a spmheanee TeyeT pm Day sthere a urre atmn between the urpurate rankmgs and the graduate rankmgs gs of Bus Schools m nzm 206 e m 2 x n2y 2y nan mum 2 mm mm a m 3 mm m mum mumumm H mm x w m w m n leu n m NBA Western Conference Data 6 2007 Season Template 6212 limtl Txes mung exthznmk 153 Perspective You should leave this course feeling better educated and better able to interpret information in terms of probability and statistics You should know that in investigating a set of data it is important to investigate Measures ofcentereg mean and median Measures ofvariation eg range and standard deviation The nature ofthe distribution via 39equency distribution or graph The presence of outliers Whether the population is stable or changing over time 153 Perspective cont You should know and understand the importance Of estimating population parameters eg mean and proportion Of testing claims about population parameters You should realize that the nature and con guration of the data have a dramatic effect on what particular statistical methods can be used Garbage in garbage out The most obvious examples are selfselectingquot and convenience samples 153 Perspective cont There are three kinds oflies lies damned lies and statistics Many polls and surveys can obtain very good results even though the sample size seems relatively small ifthe sample is chosen properly eg 1700 people in a national survey We ve tried to emphasize interpretation notjust blind calculation odern technology gives us the luxury to focus on the interpretation ofdata and results rather than the mechanics of complex algorithms and mathematical manipulations Keep the text as a reference Test Prep and Review Open bookopen notes Get plenty of rest don t try to cram the night before Review graded homework assignment questions Review section questions Skim rst before starting work on the questions you feel most con dent in rst Neatness counts show or at least explain your work Be careful to round correctly and at the right time On multiple choice questions choose the bestclosest answer You have the full 2 hours 5 minutes to do the test you may leave as soon as you are done Test Prep and Review 53 Binomial Probability Distribution 63 Applications of Normal Distributions 65 Central Limit Theorem 72 Con dence Interval Proportion 85 Hypothesis Test Mean 92 Hypothesis Test Proportion Two Populations 93 Hypothesis Test Mean Independent Samples 102103 CorrelationRegression 112 Goodnessof Fit Test 101 13 Test oflndependence 1113 6 Rank Correlation 2 of 11 are multiple choice PF P P F P NT no