文稿2012group pty ltd一个部门chberenson basic bus stats 3e sm even.pdfVIP

Chapter11

Analysisofvariance

Afterstudyingthischapteryoushouldhaveabetterunderstandingof:

1.thebasisconceptsofexperimentaldesign

2.howtousetheone-wayanalysisofvariancetotestfordifferences

betweenthemeansofseveralgroups

3.whentousearandomisedblockdesign

4.howtousethetwo-wayanalysisofvarianceandinterpretthe

interaction

11.2(a)SSW=SST–SSB=130–70=60

SSB70

(b)MSB23.33

c–14–1

SSW60

(c)MSW3.75

n–c20–4

MSB23.33

(d)FSTAT6.22

MSW3.75

11.4(a)dfB=c–1=5–1=4

(b)dfW=n–c=35–5=30

(c)dfT=n–1=35–1=34

11.6(a)Decisionrule:IfFSTAT2.62,rejectH0.

(b)SinceFSTAT=3.43isgreaterthanthecriticalboundofF5,242.62,rejectH0.

(c)Thereare5degreesoffreedominthenumeratorandn–c=30–6=24

degreesoffreedominthedenominator.Thecriticalvalue,Qα4.17.

(d)ToperformtheTukey-Kramerprocedure,thecriticalrangeis

MSW1123.3311

Qα2nj+nj4.1725=+59.01

11.8(a)

SourceofvariationDegreesoffreedomSumofsquaresMeansquareF