14.4 Wilcoxon Rank Sum

# 14.4 Wilcoxon Rank Sum - 214:le Homewopr...

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Unformatted text preview: 214/:le Homewopr: 2q130)3l,5‘l,7)9,37/20l J‘io oan) U93 town If Loum adj; 2 y _ nonpmmmemo ‘9 2 Whit: P0. 9% mom- pmnred WIlbOXOl'l ‘ Section 14.4 Wilcoxon Signed Rank Sum Test - matched pairs experiment ' , ‘ 0i Required conditions: Ran dam 90 mm 9 01 (“if Elem/69 ‘0 TGKCH Tl‘ (l m l’OPUlWlOn 01 dlflf/ienCCQ. . V POW Iowan or diff ore nose: ﬂag or oonimuous dinYlbillll on For a small sample: ll ( ) 5 Ho: probability distribution of populationl is identical to probability distribution of population 2 Ha: probability dist of populationl is to the right of probability distribution of population 2 Test statistic = T. = sum of negative ranks Rejection region: Reject Hoif T. 5 To (Tram 0| ICING) Ha: probability dist of populationl is to the left of probability distribution of population 2 Test statistic = T+ = sum of positive ranks Rejection region: Reject HD if T+ 3 To Ha: probability dist of populationl is different than probability distribution of population 2 Test statistic = smaller of T- and T+ = T Rejection region: Reject HQ if T 5 To \ 1. Take differences 2. Take absolute value of diffs 3. Rank as before 4. Sum ranks n = # of onzero differences 0 (main qm tmhchJhN/W it out Ex: Recall the PARS ﬁle (govt agency evaluation scores). A random sample of 5 agencies was taken. Assuming the differences in scores between 2008 and 2007 come from a nonnormal #2 population, can you conclude the distribution of scores in 2008 is shifted above he distribution '2 O ofscores in 2007 atthe 5'? Si niﬁcance level? L” hl 5 07 ramz= 5 :3ng ‘i 5 9 L-aabavalue‘b 2 9, I0 I6 7914613 92 7’ 7: 34 33 37 32 .17 08: 4O 35 35 42 32 HQ? @740 trio: l’mbdlambun‘an (if pom ig idehTK/Ull To Probd‘ilai 0i 0 .7. ‘7 I5 Hag FWD. dlalhbvnah af 9094 \‘r, 10 me how at ﬂab aim. (ft \$092 2. REJEUI Ho jf: LgTo 00.06 T..£ \ any (Mltd 3. T. = LS “ ”I .. . tr. rum m not enaugh ewdence h) oonoIUdeihe diéliibuliaﬂ 0f genres in g ' . acoreg m 20’0’72'009 I ehrﬂed above The dwmbunon of ...
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