tugas statek kelompok genap 2014 2

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    STATISTIKA TEKNIK

    INTRODUCTION TO FACTORIAL DESIGNS

    DISUSUN OLEH :

    KELOMPOK GENAP ( KELAS B DAN C)

    JURUSAN TEKNIK KIMIA

    FAKULTAS TEKNIKUNIVERSITAS SRIWIJAYA

    2016

    ANGGOTA KELOMPOK

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    KELAS C

    1) M FARIS NAUFAL 03031281419092

    2) EKA PERMATA 03031181419062

    3) DITA AULINE SARAGIH 03031181419004

    4) JANU HADI 0303118141908

    ) ANGELINA 0303128141910

    6) D!I FUSPITASARIE 03031181419044

    ") ADE OCTA#IROSA 03031381419142

    8) $ESSICA P A 03031281419098

    9) M AIDIL DEFITRA 03031181419040

    10) M RA$FI ALFARID%I 03031281419102

    11) RAMSES JANJI H 03031181419068

    12) $OLANDA PATIKA 03031181419008

    13) CITRA AFRILIANA 03031181419066

    14) SRI $UNITA H 0303128141912

    1) BOBBIE RI%KIE M H 03031181419036

    16) SIDI& !IJA$A KUSUMA 03031181419148

    KELAS A

    1") ADIT$A M RIF'AT 03031181419002

    KELAS B

    18) PATRICK RUD$ MEI%AKH 03031281419080

    19) M FAU%AN FATHULLAH 03031281419084

    20) IMAM GUNA!AN P 0303118141906

    21) FITRI FEBRIANTI 03031181419038

    22) ARI !IJA$A 03031181419034

    23) BELLA ANGGRAINI 0303118141918

    24) ELC$ TIARA P 03031181419028

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    2) MITHA H U 0303118141904

    26) LUKI ANUGRAH ! 03031181419032

    2") M GIAN NO#ALDI 03031181419022

    28) SIL#ESTER CHRIS$A A 030312814190"4

    29) $ORDAN THE%AU%A 030312814190"8

    30) GAL#ANI ALFARU& 03031181419024

    31) NABILA APRIANTI 03031181419030

    32) M LUTHFI FADHLI R 03031181419026

    33) IHSANATA HAMDA HUKAMA 03031181419012

    34) $OSUA ARISTIDES 03031281419090

    3) SITI NURHA$ATI 03031181419020

    36) INDIRA RA$OSA 03031181419016

    3") RISKI JULIANDA 0303128141916

    38) TEDD$ SUR$A DINATA 0303118141900

    39) RINA NURHA$ATI 03031181419042

    40) LISA %ULMA$ETI 0303128141914

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    B C

    A 300 30 A 1 2 3

    40 24 293 40 14" 190 201

    0 320 320 0 218 219 203

    60 261 26 60 19 211 16

    Penyelesaian :

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    . (@;@ ,) 3 .@* 2" .* 9

    : (,5.) 2 .:* 18 :* 6

    @ (5.) 3 .:@* 4 @* 9

    * (5@.) 3 :@* 18

    Y ($"+#"* "("+") !+"

    I. Me),

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    (24)] (293)] (320)] (320 )] (261 )] (26 )]

    0>0"4

    "8>81

    (14")] (190)] (201)] (218)] (219)] (203)] (19)] (211)]

    (16)]

    3>6"

    (28 )] (296 )] (2"2 )] (266 )] (324 )] (288 )]

    261>33

    11>29

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    (("2)] (81)] (92)] (")] (109)] (109)] (10")] (111)]

    (102)] (111)] (108)] (101)] ("9)] (104)] ("8)] (80)] (10")]

    ("8)] 0>0"4

    11>29

    46>18

    (("2)] (81)] (92)] (")] (109)] (109)] (10")] (111)]

    (102)] (111)] (108)] (101)] ("9)] (104)] ("8)] (80)] (10")]

    ("8)]

    1239>33

    346 00"4 261>33 "8>81 3>6" 11>29 46>18 188

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    13">33

    13">33 1239>33

    118

    II. Me),33 "8>81 3>6" 11>29 46>18

    116933

    SST. 13"33

    086149 (86)

    III. Me),

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    T"9e 7 A)"-*+* 7 V"!+");e %ANOVA'

    S7$!;e 7

    V"!+"#+7)

    SS DF MS F0

    C-;e T+me %A' 436 2 218 66084"

    Teme!"#$! %B' 00"40" 1 00"40" 12"684

    Oe!"#7! 2613333 2 130666" 3986441

    AB "881481 2 3940"41 120226

    AC 3666" 4 889166" 2"12"12

    BC 112926 2 62963 1"1"14

    ABC 461819 4 11463 32299

    E!!7! 118 36 32""""8

    T7#" 13"333 3

    R2 0.613? %6@'

    U/+ ANOVA 8e),") P!7,!"mDesign Expe!

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    A)"+*+* Ke*+m$")

    1. U!$#") ee( -"), *+,)++;") #e!

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    2

    2

    6

    2

    9

    2

    8

    3

    3

    9

    50

    3

    6 3"

    3

    4 3"

    3

    3 34

    3

    " 3"

    3

    4 36

    3

    4

    33

    "

    213333

    3

    4111

    1

    3

    38

    34

    39

    38

    36

    36

    39

    3

    3

    36

    31

    60

    2

    8 263

    3

    34"

    2

    6 26

    2

    6 26"

    3

    6 3"

    2

    8 26

    1"333

    3

    30"41"

    8

    2

    4

    3

    2

    "

    2

    9

    3

    "

    2

    6

    2

    "

    3

    4

    2

    2

    3

    4

    2

    4

    86 98" 90" 88" 108 96 681084133

    -./. 2"3333333 292666666" 68 322624

    -./2. "80844444 863""""8

    T"9e Re*+8$"

    +/( %Re*+8$"' -+/( %D"#"' +/.%R"#" e! e),"m"#")'

    1 0 0333333 1 166666" 233333

    0 1 1333333 2 033333 033333

    1 1 16666" 3 133333 266666"

    0333333 3 1 0 2 0333333

    06666" 1 0 2 2 2333333

    0333333 2 1 2 0 26666"

    166666" 0333333 0 06666" 0333333 2

    233333 0333333 1 2333333 1333333 0

    066666" 06666" 1 16666" 16666" 2

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    P7# G!"+(

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    19) P+7 +. /:.- 5// 7,. /+.*< +5.=. D. ?.7 ;.*< :. + +..,*;.

    ;. ,5. +.* 7.*.* T3 89 89>4 89>9 90>3

    H1 90>2 91>3 91>" 93>2 93>"

    P*;/..*

    P.+. +.. + ../> ++.5.

    S@

    S, ?

    S.

    D01 1 13>01

    A 109>81 8 13>"3 2>84 0>0001B 99>8 2 49>93 93>98 0>0001

    AB 4>4 4 1>11 2>1 0>1"33

    S/. 4>2 8 0>3

    K./ T. 12">0" 1"

    A ,5.

    B 7.*.*

    J.+> +-. +. -./ 5.+. +.. +../> ,.7. ?.7 ;.*< 5.*< :5*

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    $X2

    40 60 80 100

    302681

    0 1"2 1621 2422 282" 89 "3"881

    " 129 1813 1"12 2"31 "46 694212

    100 1612 1821 223 3023 89"9 8062244

    12 211" 2321 2322 2931 9691 939148

    $= 6"39 ""6 89"9 1112 34806

    ;=X2 4414121 "39"8 8062244 132261

    . ;=X2 3198482

    .4[ :4

    T. $= . $ $ 34806

    $X2 121148

    $X2 .:1211484Z4

    ""16

    A S, ? /.

    SSA 1:

    302681 ""16

    6009322

    SSB

    3198482 ""16

    32"3182

    SS:@71.:

    116(302681 ""16)

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    (1"2)(639)(89)(129)(6"39)("46)(2931)(1112)(9691)

    3309022

    SSN

    414626

    SSERROR SS/+. SSN

    640"8864 414626

    633"238

    B D

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    69/86

    F:,/:,/

    10911"2""11986

    132"E0F.:,/.:,/

    1214"222"11986

    1214"22

    S7$!;e 7 S$m 7De,!ee*7 Me") F7

    V"!+"#+7) S$"!e* F!ee87m S$"!e

    B@7 968"

    M+ 4338144

    A 6009322 3 200310"281341E06

    B 32"318 3 10911"3

    132"E

    0

    AB 4636933 9 1214""2363E0"

    R/+./ 640"8864

    E 640"8818 9 "119869

    T. 640"921 24

    21) P.+. /. 6 +.5. 7.// +,.*. ?.7 ;.*< ,,5*

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    T"9e N+"+ K$"8!"#

    1 2 3 4 cSUM

    1 11881 4"961 12100 062 11664 4"089 12100 4"24

    12100 1322 11881 11664

    2 12100 49284 12100 48841 12321 48400 12996 10"6

    1244 12321 11881 1244

    3 1346 2900 1244 129 12996 4289 14400 6169

    12996 1322 14161 13689

    1014 1099 149""8 14"69 606

    c;=7 "380" (c;=7)26822E11

    K7)*#")#" A B AB ABN N

    A 3 AB 12 N 2

    B 4 ABN 24

    S$m 7 S$"!e*

    o SS (c;=7)2 (;2.:*) 6822E11

    o SS. 012 c(;2)( ;2.:*) 264981198

    o SS: 016" (c(;=X2)) ( ;2.:*) 22"0228

    o SS.: 0 (cSUM) ( ;2.:*)S/.SS: 10"3011948

    o SS SSSS.SS:SS.: 68824E11

    o SS/+ SS.:SS.SS: 624964426

    o SS,+ SS.SS:SS.: 410362131

    o SS:@7 0083 (c(;=X2)) ( ;2.:*) 1296011

    o R2 SS,+SS "2218E0"

    DEGREE OF FREEDOM

    o A A1 2o B B1 3

    o AB (A1)(B1) 23 6

    o E!!7! AB (N1) 12 (21) 12

    o TOTAL ABN1 23

    MEAN SUARE

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    o MSA 1324"9099

    o MSB 84230"601

    o MSAB 1"8833246

    o MSE 4"320233

    F7

    o FA 2"9""E06

    o FB 1""891E06

    o FAB 3""6"2E0"

    TABEL HASIL

    S7$!;e 7 S$m 7 De,!ee* 7 Me") F7

    V"!+"#+7) S$"!e* F!ee87m S$"!e

    B@7 1296>011

    M+ 410362>131

    A 26498>1198 2 1324"9>099 2>"9""E06

    B 22"0>228 3 8423>0"601 1>""891E06

    AB 10"301>19 6 1"883>32

    3>""6"2E

    0"

    R/+./ 624964>43

    E >68224E11 12 4"320233

    T. >6822E11 23

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    209>8928222

    SST,5.(SSB)

    13Z4 (28>9")2 (64>"1)2 (60>93)2 (14>61)236

    64>2216

    SSI*.@*(SSAB) SSM.. SST,5.

    d (9>36)2 (9>"")2 (9>84)2 (8>3")2 (13>98)2 (42>36)2 (">64)2

    (13>6)

    2

    (39>"3)

    2

    (14>61)

    2

    36

    101>96"944

    SSE SST SSM.. SST,5. SSI*.@*

    381>3489"2 209>8928222 64>2216 101>96"944

    >42412

    SSM+ SSM.. SST,5. SSI*.@*

    209>8928222 64>2216 101>96"944

    3"6>110""22

    R2 SSM+SST.

    3"6>110""22381>3489"2

    0>98"83411

    De,!e** 7 F!ee87m

    M+ .: 1

    (3Z3) 1

    8

    A T.,*/ . 1

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    3 1

    2

    B T.,*/ : 1

    3 1

    2

    AB (. 1) (: 1)

    (3 1) (3 1)

    4

    E R/+. .: (* 1)

    3Z3 (4 1)

    2"

    T. A B AB E

    2 2 4 2"

    3

    Me") S$"!e

    MSM+ SSM+ (.: 1)

    3"6>1108 (3Z3 1)

    4">0138

    MSA SSA (. 1)

    209>8928 (3 1)

    104>9464

    MSB SS: (: 1)

    64>2216 (3 1)

    32>12608

    MSAB SSA: (. 1) (: 1)

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    101>968 (3 1) (3 1)

    2>4914

    MSE MSR/+. SSE .:(* 1)

    >42412 3Z3 (4 1)

    0>200894

    F0Q F V"$e

    F0 MSM+ MSE

    4">0138 0>200894

    234>023"

    F0 MSA MSE

    104>9464 0>200894

    22>3982

    F0 MS: MSE

    32>12608 0>200894

    19>919

    F0 MSA: MSE

    2>4914 0>200894

    126>8903

    S@ S, ? S./

    D0138 234>023" 0>0001A 209>8928 2 104>9464 22>3982 0>0001

    B 64>2216 2 32>12608 19>919 0>0001

    AB 101>968 4 2>4914 126>8903 0>0001

    R/+. >42412 2" 0>200894

    L.@7 ?

    F

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    P

    E >42412 2" 0>200894

    C T. 381>349 3

    M+ F*. 234>02 ,*;.7.* ,+ .+..- /01 7,*

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    SST (46)2 (44)2 (101)2 (1020)2 (1101)2 (108)2 (320)2 (3)2

    (938)2 (1002)2 (1081)2 (106)2

    920>8299 80">"002 113>129691"

    :) SS+5*"002 0>980408333

    @) SS,5

    SS,5 (1")2(39")2(43)2

    918>8881 80">"002 111>18"916"

    +) SS*.@* SS+5*< SS,5 SS*.@*

    (9)2(203)2(219)2(6")2(194)2(2141)2 0>980408333 111>18"916"

    920>44440>980408333 111>18"916" 0>"81666"

    SSE SST SS+5*129691"0>980408333111>18"916"0>"81666" 0>38

    111 T.: S, ? S.

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    S@ ? I*.@* S, ? S.

    D5*< SS+5*< 0>980408333

    T,5 SS,5 111>18"916"

    I*.@* SSI*.@* 0>"81666"

    E SSE 0>38

    T. SST. 113>129691"

    112 T.: D9396

    I*.@* MS.: SS*.@* (.1)(:1) 0>28"908

    E MSE SS .:(*1) 0>06428

    T.

    1.14. T.: ? F

    S@ ? I*.@* F

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    D5*< MS. MSE 1>2"29

    T,5 MS: MSE 86>1634

    I*.@* MS.: MSE 4>480482

    E

    T.

    T.: ? A*.;// ? #..*@ ? - T F.@ F.@.>F+ E??@/ M+

    S@ ? I*.@* S, ? S. D980408333 1 0>980408333 1>2"29

    T,5 111>18"916" 2 >9396 86>1634

    I*.@* 0>"81666" 0 0>28"908 4>480482

    E 0>38 6 0>06428

    T. 113>129691" 11

    T.: A*.;// ? #..*@ !- E@

    ANO#A

    S@ ? #..* SS +? MS F P.

    D5*980408333 1 0>980408333 1>2"29

    000"9

    T,5111>18"916" 2 >9396 86>1634

    00001

    I*.@*0>"81666" 2 0>28"908 4>480482

    0064

    E0>38 6 0>06428

    T. 113>129691"11

    B P5.

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    D I/ - ,+ ;e0e11e22e2222e1212f /55+ :; -/ 5,*

    (1+55*< > 2,5.) Q E/,. - 5..,/ * -/ ,+ .*+ 5

    - /5*/ /?.@

    D/

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    F.@ C??@

    *

    E/,.

    DF S.*+.+

    E

    9 CI

    L

    9 CI

    H