Transcription of 1 Basic ANOVA concepts - Calvin University
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Math143 ANOVA1 AnalysisofVariance( ANOVA )Recall,whenwewa ntedtocompare twopopulationmeans, 'sexpandthistocomparek 3 ,wecangraphicallygetanideaofwhatis goingonbylookingatside-by-sideboxplots.( , , , ) , weare consideringa quantitativeresponsevariableasit relatestooneormore explanatoryvariables, tthissetting:(i)Whichacademicdepartmenti nthesciencesgivesoutthelowestaveragegrad es?(Explanatoryvari-able:department; Responsevariable:studentGPA's forindividualcourses)(ii)Whichkindofprom otionalcampaignleadstogreateststore incomeatChristmastime?(Explanatoryvariab le:promotiontype; Responsevariable:dailystore income)(iii)Howdothetypeofcareerandmarit alstatusofa personrelatetothetotalcostinannualclaims she/heislikelytomakeonherhealthinsurance .(Explanatoryvariables:careerandmaritals tatus;Responsevariable:healthinsurancepa youts)Eachvalueoftheexplanatoryvariable( orvalue-pair, if there is more thanoneexplanatoryvariable)repre-sentsa ' , ,there are twofactors(explanatoryvariables):aspirin (valuesare takingit or nottakingit )andbetacarotene(valuesagainare takingit or nottakingit ),andthisdividesthesubjectsintofourgroup scorrespondingtothefourcellsofFigure ( ).
the table are the F values, and the P-values (the probability of getting an F statistic larger than that if the null hypothesis is true) are down the left side. Example: Determine P(F3,6 > 9.78)= 0.01 P(F2,20 > 5)= between 0.01 and 0.025 Example: A rm wishes to compare four programs for training workers to perform a certain manual task.
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