非参数统计KruskalW英文资料Word下载.docx
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非参数统计KruskalW英文资料Word下载.docx
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insteadoftheOnewayAnalysisofVariance(ANOVA),
whichisbasedontheuseofintervaldata.
AsummaryofthestudyispresentedinTable1.
Table1
SummaryDataofFinalExaminationScores,Homework
Problems,andFinalProjectScoresinaHighSchool
LogoProgrammingClass
====================================================
GradedActivity
===============
1=FinalExam
2=Homework
StudentNumber3=FinalProjectScore
----------------------------------------------------
011085
012090
013075
021088
022092
023082
031091
032074
033055
041088
042093
043067
051086
052083
053077
061072
062091
063062
071057
072059
073066
081093
082079
083072
091082
092088
093081
101077
102071
103063
111085
112082
113093
121072
122073
123062
131074
132094
133090
141057
142075
143048
151079
152082
153063
161083
162093
163098
171068
172078
173082
181078
182082
183088
191074
192078
193000
201085
202089
203094
211094
212093
213083
221088
222081
223073
231083
232081
233071
241089
242092
243080
251088
252079
253068
261081
262088
263092
271091
272094
273083
281095
282092
283084
291095
292093
293100
301095
302096
303098
311073
312079
313064
321081
322085
323091
331087
332081
333081
341069
342075
343076
351077
352088
353083
Ho:
NullHypothesis:
Thereisnodifferenceingraded
homeworkproblems,finalprojectscore)between
studentsinahighschoolLogoprogramminglanguage
class(p=.05).
Files:
1.kruskalw.doc
2.kruskalw.dat
3.kruskalw.r01
4.kruskalw.o01
5.kruskalw.con
6.kruskalw.lis
Command:
AttheUnixprompt(%),key:
%spss-m<
kruskalw.r01>
kruskalw.o01
kruskalw.dat
kruskalw.r01
SETWIDTH=80
SETLENGTH=NONE
SETCASE=UPLOW
SETHEADER=NO
TITLE=Kruskal-WallisOnewayAnovabyRanks
COMMENT=Thisfileexaminespossibledifferences
ingradedperformancetothreeseparate
activities(e.g.,finalexaminationscore,
compositescoreforallhomeworkproblems,
finalprojectscore)inahighschoolLogo
programminglanguageclass.
insteadoftheOnewayAnalysisofVariance(ANOVA)
basedontheuseofintervaldata.
DATALISTFILE='
kruskalw.dat'
FIXED
/Stu_Code20-21
Activity36
Score51-53
VariableLables
Stu_Code"
StudentCode"
/Activity"
GradedActivity"
/Score"
ScoreonGradedActivity"
ValueLabels
Activity1'
FinalExamination'
2'
HomeworkProblems'
3'
FinalProject'
NPARTESTSK-W=ScorebyActivity(1,3)
kruskalw.o01
1SETWIDTH=80
2SETLENGTH=NONE
3SETCASE=UPLOW
4SETHEADER=NO
5TITLE=Kruskal-WallisOnewayAnovabyRanks
6COMMENT=Thisfileexaminespossibledifferences
7ingradedperformancetothreeseparate
8activities(e.g.,finalexaminationscore,
9compositescoreforallhomeworkproblems,
10finalprojectscore)inahighschoolLogo
11programminglanguageclass.
12
13Becausetheteacherconductingthisanalysis
14hasaconcernthathomeworkscoresandfinal
15projectscoresareordinaldata(dataareordered,
16butnotwiththeprecisionofintervaldata),it
17isbesttousethenon-parametricK-WHtest
18insteadoftheOnewayAnalysisofVariance(ANOVA)
19basedontheuseofintervaldata.
20DATALISTFILE='
21/Stu_Code20-21
22Activity36
23Score51-53
24
Thiscommandwillread1recordsfromkruskalw.dat
VariableRecStartEndFormat
STU_CODE12021F2.0
ACTIVITY13636F1.0
SCORE15153F3.0
25VariableLables
26Stu_Code"
27/Activity"
28/Score"
29
30ValueLabels
31Activity1'
322'
333'
34
35NPARTESTSK-W=ScorebyActivity(1,3)
*****Workspaceallowsfor18724casesforNPARtests*****
-----Kruskal-Wallis1-WayAnova
SCOREScoreonGradedActivity
byACTIVITYGradedActivity
MeanRankCases
54.4735ACTIVITY=1FinalExamination
60.4935ACTIVITY=2HomeworkProblems
44.0435ACTIVITY=3FinalProject
---
105Total
Correctedforties
Chi-SquareD.F.SignificanceChi-SquareD.F.Significance
5.22382.07345.23282.0731
kruskalw.con
Outcome:
ComputedH=5.2234(K-WHapproximatesChi-Square)
df=k-1=3-1=2
CriterionH(alpha=.05,df=2)=5.9915
ComputedH(5.2238)<
CriterionH(5.9915)
Therefore,thenullhypothesisisacceptedand
itcanbeclaimedthatthereisnodifferencein
thegradedperformancetothreeseparateactivities
(e.g.,finalexaminationscore,compositescorefor
allhomeworkproblems,finalprojectscore)ina
highschoolLogoprogramminglanguageclass(p=
.05).
Thepvalueisanotherwaytoviewdifferencesin
thethreegradedactivities:
--Thecalculatedpvalueis.0731.
--Thedelcaredpvalueis.05.
Thecalculatedpvalueexceedsthedeclaredpvalue
andthereis,accordingly,nodifferenceinscores
ofthethreegradedactivitiesatthislevelof
significance(p=.05).Differencesinmeanrankings
ofscoresforallthreegradedactivitiesaredue
onlytochance.
Note:
AlthoughtheteststatisticforKruskal-Wallis
analysisis"
H,"
youwillnoticethatchi-square
valuesareusedfordataanalysis.Happroximates
thechi-squaredistribution.
Thereisoftendisagreementintheprofessionabout
usingparametricanalysisfordatathatsimplydonot
follownormaldistribution:
--Gradesonastandardizedtest,suchasawell-
constructedfinalexamination,likelyfollow
anormaldistributionalongthebell-shapedcurve.
--Gradesawardedtohomeworkassignmentsarea
typicalexampleofdatathatarenotdistributed
alonganormalcurve,sincestudentsrarelyturn
inacontinuumof"
bad"
to"
good"
homework
assignments.
Shouldparametricanalysesbeusedfornonparametric
data?
Thereisnoeasyanswertothisquestion.Yet,
ifthepurposeofstatisticalanalysisistooffer
possibleanswerstotheotherwiseunknown,thenexpect
toseeparametricanalysesfordatathatmaynotmeet
theassumptionsassociatedwithteststhatrelyon
normaldistribution.
Evenso,thisproblemprovidesa"
typical"
useof
nonparametricdataineducationalresearch.In
turn,theKruskal-WallisHtestwasindeedthe
appropriatetestforthisdataset.
kruskalw.lis
%minitab
MTB>
outfile'
kruskalw.lis'
Collect
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