LAPORAN PENELITIAN STATISTIKA NON PARAMETRIK
PENERAPAN UJI FRIEDMAN PADA VARIASI KEPEKATAN KOPI INSTANT INSTANT
Oleh :
I Gust Gustii Putu Putu Surya Surya Darma Darma
(0621 (0621154 154000 000003 0033) 3)
M. Ba Bagus Ra Rahmatullah
(06211540000034)
Agga Mah!"ra
(06211540000035)
Sri Mulyai
(06211540000054)
Bar!# A"$i %i"hi P
(062115400000&4)
'usu Pu Pu$i ! !rmat*
(062115400000+5)
M*,h M*,ham ama" a" Ihsa Ihsa Aa Aat* t*
(062 (0621 11540 154000 0001 0123 23))
Arai D-iargatra
(06211540000124)
!la !lau uia ia D /atu /atuma mau uli lita ta
(062 (0621 11540 154000 000 004 04))
Dosen :
*ri Suh!rmi
PROGRAM STUDI SARJANA DEPARTEMEN STATISTIKA FAKULTAS MATEMATIKA KOMPUTASI DAN SAINS DATA INSTITUT TEKNOLOGI SEPULUH NOPEMBER SURABAYA 20!
1
ABSTRAK
!s statisti *#aram!tri a"alah t!s yag m*"!lya ti"a m!!ta#a syarat m!g!ai #aram!t!r#aram!t!r #aram!t!r#aram!t!r #*#ulasi yag m!ru#aa i"u sam#!l #!!litiaya. B!!ra#a ma,am #!gu$ia *#aram!tri *#aram!tri atara lai 7$i a"a8 7$i Ma %hit!y8 %hit!y8 7$i 9h*,hra8 7$i M!"ia8 7$i %il,*:*8 %il,*:*8 7$i Ra ;*r!lasi ;*r!lasi S#!arma S#!arma8"a 8"a 7$i ri!"ma ri!"ma.. ;*#i m!ru#aa m!ru#aa salah salah satu miuma yag "ig!mari *l!h alaga masyaraat. Baya *rag !ragga#a ah-a !uata rasa "ari masigmasig $!is *#i !r!"a.
#!r!"aa !uata rasa atar *#i "imaa $!is *#i yag "iguaa yaitu G**""ay8 G**""ay8 ;*#i* & "a !s,a!. 7$i yag "iguaa yaitu 7$i ri!"ma "!ga "ata yag !ru#a ranking . P!m!ria #!rigat yaitu atara 1 sam#ai 3 "imaa #!rigat 1 m!u$ua rasa *#i #alig uat "a #!rigat 3 m!u$ua rasa *#i ti"a t!rlalu uat. P!gu$ia "ilaua m!gguaa software MIIAB "a SPSS yag m!ghasila !#utusa gagal t*la 0 yag !rarti ah-a ti"a t!r"a#at #!r!"aa rasa *#i yag uat atara !tiga $!is *#i
K"#" K$n%& = ;*#i8 Miita8 7$i ri!"ma8 Statistia *#aram!tri8 SPSS
i
DAFTAR ISI HALAMAN JUDUL..............................................................................................................& ABSTRAK .................................................................................................................................&& DAFTAR ISI.............................................................................................................................&&& DAFTAR GAMBAR ..............................................................................................................&' DAFTAR TABEL....................................................................................................................' BAB I PENDAHULUAN..................................................................................................... 1.1 /atar B!laag..........................................................................................................1 1.2 Rumusa Masalah....................................................................................................1 1.3 u$ua..........................................................................................................................1 1.4 Maaat........................................................................................................................2 BAB II TINJAUAN PUSTAKA........................................................................................( 2.1 Aalisis >arias DuaArah B!r"asara P!rigat ri!"ma....................3 2.2 Pr*s!"ur P!ma"iga B!rga"a utu Diguaa S!su"ah 7$i ri!"ma.....................................................................................................................4 BAB III METODOLOGI PENELITIAN.....................................................................) 3.1 Sum!r Data..............................................................................................................5 3.2 /agah Aalisis......................................................................................................5 3.3 Diagram Alir ..............................................................................................................6 BAB IV ANALISIS DAN PEMBAHASAN................................................................. ! 4.1 7$i ri!"ma.............................................................................................................. 4.1.1 P!y!l!saia M!gguaa Miita ............................................................ 4.1.2 P!y!l!saia M!gguaa SPSS ................................................................10 BAB V KESIMPULAN........................................................................................................2 5.1 ;!sim#ula................................................................................................................12 5.2 Sara.............................................................................................................................12 DAFTAR PUSTAKA LAMPIRAN
ii
DAFTAR GAMBAR G"*+", (- Flow Chart /agah Aalisis......................................................................4 G"*+", .- Input Data #a"a MIIAB...........................................................................& G"*+", .-2 7$i ri!"ma #a"a MIIAB.....................................................................& G"*+", .-( Output 7$i ri!"ma #a"a MIIAB.......................................................+ G"*+", .-. /" Input aria!l #a"a SPSS.......................................................................10 G"*+", .-. /+ Input "ata #a"a SPSS..............................................................................10 G"*+", .-) Input 7$i ri!"ma #a"a SPSS................................................................... 10 G"*+", .-1 /agah 7$i ri!"ma #a"a SPSS .............................................................11 G"*+", .-! Output 7$i ri!"ma #a"a SPSS ................................................................11
iii
DAFTAR TABEL T"+el 2- Strutur Data P!rigat ri!"ma................................................................... 3 T"+el .- Data Prim!r8 asil P!gamata........................................................................
1
BAB I PENDAHULUAN -
L"#", Bel""n3
P!!litia "i i"ag ilmu s*sial s!rigali m!$um#ai !sulita utu m!m#!r*l!h "ata *tiyu yag m!y!ar m!giuti "istriusi *rmal. Data #!!litia ilmuilmu s*sial yag "i#!r*l!h8 !ayaa haya !ru#a at!g*ri yag haya "a#at "ihitug r!u!siya atau !ru#a "ata yag haya "a#at "i!"aa !r"asara tigata atau #!rigatya. M!gha"a#i asus "ata at!g*rial atau "ata *r"ial s!#!rti itu8 $!las #!!liti ti"a mugi m!m#!rguaa m!t*"! statisti #aram!tri. S!agai gatiya #ara #aar m!,i#taa m!t*"! statisti lai yag s!suai8 yag "is!ut "!ga m!t*"! statisti *#aram!tri. !s statisti *#aram!tri a"alah t!s yag m*"!lya ti"a m!!ta#a syarat m!g!ai #aram!t!r#aram!t!r #*#ulasi yag m!ru#aa i"u sam#!l #!!litiaya. !s *#aram!tri ti"a m!utut #!guura s!uat yag "itutut t!st!s #aram!tri8 s!agia !sar t!s * #aram!tri "a#at "it!ra#a utu "ata "alam sala *r"ial8 "a !!ra#a yag lai $uga "a#at "it!ra#a utu "ata "alam sala *mial. B!!ra#a ma,am #!gu$ia *#aram!tri yag atara lai a"alah 7$i a"a8 7$i Ma %hit!y8 7$i 9h*,hra8 7$i M!"ia8 7$i %il,*:*8 7$i Ra ;*r!lasi S#!arma8"a 7$i ri!"ma (Si!g!l8 1++2). Dari !ragai ma,am #!gu$ia *#aram!tri 7$i ri!"ma "iguaa maaala s!s!*rag ti"a m!m#!rtimaga asumsi !*rmala "ari "istriusi sam#!l. 7$i ri!"ma l!ih t!#at "iguaa8 ar!a "ata !ru#a ranking t!rg*l*g ti#! "ata *r"ial8 s!higga m!t*"! #aram!tri ti"a t!#at utu "it!ra#a. -2
Pe,$*$s"n M"s"l"h
B!r"asara latar !laag masalah maa #!rmasalaha "a#at "irumusa s!agai !riut8?Bagaimaa #r*s!s #!gu$ia "ua sam#!l "!ga m!gguaa 7$i ri!"ma@? -(
u$ua D!ga m!ga,u #a"a latar !laag masalah "a rumusa masalah8 maa tu$ua "ari
#!ulisa ii a"alah8 utu m!g!tahui #r*s!s #!gu$ia "ua sam#!l "!#!"! "!ga m!gguaa 7$i r!a"ma yag "imaa hasil "ari #!gu$ia isa "ir!*m!"asia #a"a *sum! "alam m!milih #r*"u . -.
M"n4""#
2
Maaat "ari #!!litia ii a"alah "a#at m!m!ria masua !#a"a #iha#iha utu m!gguaa hasil #!!litia ii s!agai aha #!rtimaga "alam m!gigia #r*"u yag s!suai "!ga !igia *sum!. BAB II TINJAUAN PUSTAKA
2-
An"l&s&s V",&"ns D$"5A,"h Be,6"s","n Pe,&n3"# F,&e6*"n 7$i ri!"ma m!ru#aa aal*g *#aram!tri "ari aalisis arias "uaarah yag
#aram!tri. Dalam #!rhituga8 "iguaa #!rigat#!rigat yag "irutut "ari hasil #!gamata "!ga sala tiggi atau m!ru#aa hasil #!gamata yag s!!arya.. Pr*s!"ur yag "i!ala *l!h ri!"ma ii *l!h "iguaa maaala #!!ra#a aalisis arias "ua arah #aram!tri ti"a "i!h!"ai. B!riut m!ru#aa strutur "ata utu aalisis arias "ua arah "!ga #!rigat ri!"ma. T"+el 2- Strutur Data P!rigat ri!"ma
Blo 2 ( & +
a.
2
Pe,l"$"n ( --7 ...
--...
. . . . . . ...
...
i#*t!sis = P*#ulasi#*#ulasi "alam suatu l* i"!ti = i"a s!mua #*#ulasi "alam suatu l* ti"a i"!ti
.
Statisti 7$i /agah #!rtama a"alah m!guah ilaiilai #!gamata yag asli m!$a"i #!rigat
#!rigat "alam masigmasig l*. S!la$utya m!"a#ata $umlah #!rigat
"ari s!tia#
#!rlaua. Rumus utu m!ghitug statisti u$i ii a"alah8 (2.1)
3
,.
;ai"ah P!gamila ;!#utusa *la
#a"a tara yata a#aila
l!ih !sar sama "!ga
. Di maa
m!ru#aa ilai ritis yag s!suai "alam T"+el A- ) / "ari uu %ay! %. Dai!l). 7tu ilai "aatau yag ti"a t!r,atum "alam a!l A. 158 ilai
ritis #a"a T"+el A- 2 "!ga "!ra$at !as 1. *la
!sar sama "!ga 2-2
"a#at "ia"iga "!ga ilai
#a"a tara yata a#aila
l!ih
"alam ta!l utu "!ra$at !as 1.
P,ose6$, Pe*+"n6&n3"n Be,3"n6" $n#$ D&3$n""n Ses$6"h U7& F,&e6*"n
A#aila #!!ra#a 7$i ri!"ma m!ghasila !#utusa t*la
yag !rarti ti"a
s!mua #*#ulasi asal sam#!l atau !!!! #!rlaua ti"a i"!ti8 maa iasaya igi "i!tahui "i maa t!#atya l!ta #!r!"aa#!r!"aa itu. D!ga "!miia8 "iutuha s!uah #r*s!"ur #!ma"iga !rga"a utu "iguaa s!su"ah 7$i ri!"ma. Bila s!mua #!r!"aa yag mugi atar #asaga#asaga sam#!l "ia"iga8 ila tigat !salaha #!r,*aa a"alah "a ayaya l* ,uu# !sar8 maa "a#at "iyataa "a
!r!"a yata $ia
(2.2)
"!ga
"a
"alam
T"+el
a"alah $umlah$umlah #!rigat #!rlaua ! "a ! 8 "a C a"alah ilai A-2
yag
luas
"a!rah
"i
s!!lah
aaya
a"alah.
4
BAB III METODOLOGI PENELITIAN (-
S$*+e, D"#"
Dalam #!!litia ii m!gguaa "ata #rim!r. Sum!r "ata yag "i #aai "alam la#*ra ii !rasal "ari #!m!ria #!rigat t!rha"a# rasa *#i t!ruat yag t!ra"ug "alam miuma !s,a! 8? G**"Day?8 "a ;*#i* &0?. P!rigat yag "iguaa utu m!ilai a"alah #!rigat 138 "imaa #!rigat 1 utu rasa *#i yag #alig uat sam#ai #!rigat 3 utu rasa yag #alig ti"a t!rasa *#iya. . (-2
8"#$ Pen3"*"#"n
P!gamila "ata yag "iguaa utu aalisis #a"a la#*ra ii "ilaua #a"a = ari8 aggal
= S!lasa8 05 D!s!m!r 201
!m#at
= ;mart8 sam#ig D!#artm! Bi*l*gi IS
Eam
= 10.1511.12 %IB
(-(
L"n3"h An"l&s&s
/agahlagah #!!litia yag "i#!rlua utu m!gaalisis "ata a"alah s!agai !riut= 1. M!!tua $!is miuma yag aa "iaalisis m!gguaa 7$i ri!"ma "a 7$i 2. 3. 4. 5. 6.
(-(
P!ra"iga B!rga"a. M!!tua #!rigat rasa utu masigmasig $!is miuma yag t!lah "it!tua. M!gi#ut "ata ! Software (MIIAB F SPSS) M!laua 7$i ri!"ma. Eia hasil #a"a #!gu$ia ri!"ma *la H 0 maa "ilaua 7$i P!ra"iga B!rga"a M!laua #!aria !sim#ula "a sara.
D&"3,"* Al&,
B!r"asara lagah aalisis yag "iguaa "alam m!laua #!!litia ii8 "a#at "igamara m!gguaa flow chart s!agai !riut.
5
Mulai
M!!tua $!is miuma "a m!t*"! pengujian
M!!tua #!rigat rasa utu masigmasig $!is minuman
Input "ata
7$i ri!"ma *la 0
Gagal *la 0
7$i P!ra"iga B!rga"a
;!sim#ula "a Sara
S!l!sai G"*+", (- Flow
Chart /agah Aalisis
6
BAB IV ANALISIS DAN PEMBAHASAN .-
U7& F,&e6*"n S!uah #!gamata yag "imaa "ilaua *l!h + agg*ta !l*m#* "!ga tu$ua utu
m!y!li"ii miuma maa yag m!milii rasa *#i yag #alig uat "ari !s,a!?8?G**""ay?8"a ;*#i &0 . B!riut m!ru#aa hasil "ari "ata #rim!r #!gamata yag t!lah "ilaua. T"+el .- Data Prim!r8 asil P!gamata
#rati g**""a !s,a a *#i* y ! 1 2 3 1 2 2 3 1 3 2 3 1 4 1 3 2 5 2 1 3 6 2 3 1 3 2 1 & 3 1 2 + 2 3 1 Pa"a la#*ra ali ii8 igi m!mutia a#aah "ata ii m!y!"iaa uti yag ,uu# utu m!u$ua ah-a !tiga $!is miuma t!rs!ut !r!"a "alam hal !uata rasa *#i yag "ihasila. Dalam "ata #rim!r yag #alig uat rasa *#iya a"alah "ari !s,a!. .-- Pen9eles"&"n Men33$n""n MINITAB 7tu m!y!l!saia 7$i ri!"ma m!gguaa MIIAB8 "ata yag aa "iaalisis t!rl!ih "ahulu "iuat ! "alam tiga uah *l*m. ;*l*m #!rtama m!ru#aa *l*m #!rlaua8 *l*m !"ua a"alah *l*m l* "a *l*m t!rahir a"alah *l*m hasil #!gamata. 7tu ,*t*h asus "i atas8 *l*m yag "iguaa s!#!rti #a"a gamar !riut=
7
G"*+", .- Input Data #a"a MIIAB
7tu m!laua #!gu$ia8 s!t!lah "ata s!l!sai "imasua maa s!la$utya li S#"# Non;","*e#,&%s F,&e6*"n . Eia *ta "ial*g F,&e6*"n aa mu,ul8 maa masua Pe,&n3"# ! "alam Res;onse 8 Jen&s ! "alam T,e"#*en# "a Res;on6en "alam Blo%s. al
ii "a#at "iilustrasia #a"a gamar !riut =
8
G"*+", .-2 7$i ri!"ma #a"a MIIAB
Dari taha#taha# yag t!lah "ilaua8 maa "i#!r*l!h hasil #!rhituga 7$i ri!"ma "alam MIIAB utu !tiga $!is miuma t!rs!ut a"alah s!agai !riut =
G"*+", .-( Output 7$i ri!"ma #a"a MIIAB
B!r"asara hasil u$i ri!"ma m!lalui MIIAB8 "i!tahui ilai m!"ia gauga (gra" M!"ia) s!!sar 2. 7tu masigmasig $!is miuma !masa ii s!,ara !rurut mulai "ari ?!s,a!?8?g**""ay?8 "a ?;*#i &0 ? $umlah #!rigatya a"alah 13822 "a 1+ i#*t!sis yag "iguaa "alam 7$i ri!"ma a"alah = 0= P*#ulasi#*#ulasi "alam suatu l* i"!ti atau sama. 1= S!uraguragya t!r"a#at salah satu #!rlaua ,!"!rug !r!"a "sa"ig #!rlaua lai Raig ii m!ghasila ilai statisti 7$i Chi-Square 486 "!ga "!ra$at !as (D) s!!sar 2 "a P-value yag "ihasila s!!sar 080+. ilai #alu! ii l!ih "ari ilai ( 0805) yag "it!tua. S!higga "a#at "isim#ula 3"3"l #ol" H 08 maa "a#at "iataa m!"ia "ari !tiga $!is miuma "iatas a"alah ti"a !r!"a. B!r"asara ilai chi-square a"alah 486 "imaa ilai 81 (58++1) maa "a#at "isim#ula ah-a 3"3"l #ol" H0 ar!a ilai chi-square urag "ari 81 (58++1).
.--2 Pen9eles"&"n Men33$n""n SPSS
9
7tu m!y!l!saia 7$i ri!"ma m!gguaa SPSS8 "ata yag "iaalisis "imasua s!suai "!ga $umlah #!rlaua yag "iguaa.
G"*+", .-. Input "ata #a"a SPSS
/agah s!la$utya a"alah An"l9
10
s!,ara #rim!r m!gguaa s*t-ar! SPSS "a#at "iilustrasia #a"a gamar !riut
G"*+", .-) Input 7$i ri!"ma #a"a SPSS
asil 7$i ri!"ma yag "i#!r*l!h "ari SPSS a"alah =
G"*+", .-1 Output 7$i ri!"ma #a"a SPSS
7$i ri!"ma m!lalui SPSS m!u$ua ah-a ratarata #!rigat utu masigmasig s!,ara !rurut "ari !s,a!?8?g**""ay?8"a ;*#i &0? a"alah 18448 28448 2811. 7tu #!gu$ia8 hi#*t!sis sama s!#!rti #a"a u$i ri!"ma m!gguaa MIIAB. ilai statisti u$i chi-square yag "ihasila s!!sar 4866 "!ga D 2 "a P-value 080+. P!gu$ia ii m!ghasila !#utusa yag sama "!ga #!gu$ia m!lalui MIIAB yaitu 3"3"l #ol" Ho
11
atau ti"a t!r"a#at #!r!"aa rasa *#i yag uat "ari !tiga $!is *#i t!rs!ut. ;ar!a "i"a#ata hasil gagal t*la maa ti"a #!rlu m!gguaa u$i #!ra"iga !rga"a.
12
BAB V KESIMPULAN DAN SARAN )-
Kes&*;$l"n
B!r"asara hasil aalisis #!gu$ia ri!"ma "i"a#ata !sim#ula s!ag ai !riut. 1.
B!r"asara hasil #!gu$ia ri!"ma "!ga atua software MIIAB "a SPSS m!ghasila ilai statisti u$i yag sama yaitu ilai ,hi sHuar! s!!sar 4866 "!ga D 2 "a P-value 080+. ilai P-value t!rs!ut l!ih !sar "ari tara sigiiasi yaitu 0.05 yag !rarti G"3"l Tol" H 0 s!higga "a#at "isim#ula ah-a ti"a t!r"a#at #!r!"aa !uaata rasa *#i "ari !tiga $!is *#i t!rs!ut
2.
B!r"asara hasil #!gu$ia "!ga ilai chi-square "i"a#ata hal yag sama "!ga #!gu$ia #a"a p-value yaitu G"3"l Tol" H 0 = ar!a ilai chi-square (4!!"# urag "ari ilai chi-square ta!l (58++1).
3.
;ar!a G"3"l Tol" H 0 maa ti"a #!rlu "ila$uta ! u$i #!ra"iga !rga"a utu m!g!tahui #r*"u maa yag m!imula !! !r!"a.
)-2
S","n
Sara utu #!muata la#*ra #ratium s!la$utya agar l!ih t!liti "alam m!laua #!gamila "ata "a "alam hal #!gu$iaya agar "ata yag "i#!r*l!h $uga l!ih aurat "a isa m!ghasila hasil #!gu$ia #a"a !sim#ula yag !ar.
13
DAFTAR PUSTAKA
Dai!l8 %ay! %. 1++0. Statistik $onpara%etrik &erapan' Eaarta= P Gram!"ia Dai!l8 %ay! %. 2000. pplie) $onpara%etric Statistics. B*st*= P%S;!t. Si!g!l8 Si"!y a" . E*h 9at!lla Er. $onpara%etric Statistics for the *ehavioral Sciences +n) e)ition. !- '*r= M,Gra-ill.
14
LAMPIRAN
/am#ira 1 = Data P!gamata E!is ;*#i 1 ;*#i* 2 ;*#i* 3 ;*#i* 4 ;*#i* 5 ;*#i* 6 ;*#i* ;*#i* & ;*#i* + ;*#i* 10 G**""ay 11 G**""ay 12 G**""ay 13 G**""ay 14 G**""ay 15 G**""ay 16 G**""ay 1 G**""ay 1& G**""ay 1+ !s,a(! 20 !s,a(! 21 !s,a(! 22 !s,a(! 23 24 25 26 2
!s,a(! !s,a(! !s,a(! !s,a(! !s,a(!
R!s#*"!
P!rigat
Pratia
;*#i*
1 2 3 4 5 6 & + 1 2 3 4 5 6 & + 1 2 3 4
2 2 2 1 2 2 3 3 2 3 3 3 3 1 3 2 1 3 1 1 1 2
1 2 3 4 5 6 & +
2 2 2 1 2 2 3 3 2
5 6 & +
3 1 1 2 1
G**""ay !s,a(! 3 3 3 3 1 3 2 1 3
1 1 1 2 3 1 1 2 1
15
/am#ira 2 = D*um!tasi P!r,*aa