SEBELUM MENJAWAB INI ADA RUMUS YANG DIGUNAKAN UNTUK MENJAWAB
ANOVA Bisadilihatuntukmengisitable di NO 1 Source of Sum of df Mean
square variation squareBetween Within Total SSb SSw________ SSt k-1
N-k N-1 MSb=SSb/k-1 MSw=SSw/N-k
F RatioMSb/MSw
Critical FFk-1,N-k
P Value(computer generated)
IniRumus ANOVA 1) Cari Grand mean-nya ( ) Rumusnya : = 2) Varian
Between Rumusnya : 3) Varian Within Rumusnya : Sw2= 4.
MencariNilaiF : Rumusnya : F=( ) ( ) ( ) ( ) ( ) N = adalah total
seluruh orangpopulasi , di jumlahinsemuanya . cth: ada 3 kelompok ,
kel A 10 org, kel B 20 org, kel C 5 org ----totalnyakel A+B+C
10+20+5= 35 ( ) K=jumlahkelompok , missal : kelompok A,B,C
berartiada 3 kelompok Sum of Square / SSb Numerator (penyebut) Sum
of Square / SSw Denominator(pembilang) Oiya, iniguna Numerator dan
Denominator adalahutkmelihatdanmencarinilai PValue dengantabel F
dihalamanbelakanghal 203-205
=
(
)
(
)
TABEL yang digunakansekarang table F
,bisadilihatdihalamanbelakangbukubahasa Indonesia karangan dr.
Luknishal 203-205
Cara menjawabnya 1. 2. 3. 4. 5. 6. Ho Ha Uji F (Fischer)
KeputusanUji Kesimpulan
CARA DAN RUMUS
ANOVA Analysis Of Varian
EXERCISEEXERCISEEXERCISEEXERCISEEXERCISEEXERCISEEXERCISEEXERCISEEXERCISE
Exercise -7 / page 190/ Basic Statistic For The Health Science /
1. 10.6) Complete the following ANOVA table: Source SS df MS
Between d Within Total Is the F ratio significant at the Jawaban
Source of variationBetween Within Total
F
360 450
15 19 = 0.05 level ?
Sum of squareSSb SSw________ SSt
dfk-1 N-k N-1
Mean squareMSb=SSb/k-1 MSw=SSw/N-k
F RatioMSb/MSw
Critical FFk-1,N-k
P Value(computer generated)
Source Between d Within Total
SS 360 450 810
df
MS
F
MS /mean square = 90 ---= 30 -----samaSebenernyaininilainyabukan
19 tapinilainya20 ,kenapa ? (N-1) (20-1 =19) 15 dari 20-5 (N-k)
artinyaada 5 kelompok 4 dari 5-1 (k-1) artinya 5 kelompokdikurang
1
4900.8 15 30 19 120
= = 1. Ho : Ha : x1 x2 x3 x4 x5 Minimal satupasang mean berbeda
1. Batas Kritis = 0.05 2. UjiStatistik : Uji F (Fischer) : F= : F=
= 0,8
Dfpembilang ( numerator) = k-1 / df =4 Dfpenyebut (denominator)=
N-k /df =15 Untukmenentukanpvlihattabel F df (4 : 15) , F= 0.8maka
(krn di tabeltidakadadf denominator 15 maka di pakaidf denominator
14 . Pv>0.001lebihbesardari 0.05 3. KeputusanUji: Ho
gagalditolak 4. Kesimpulan : Minimal satupasang mean berbeda
2. 10.8) a survey was done in a community in which resident werw
asked if they felt that family planning counseling was neededin the
community. The tabulation in the accompanying table gives the
opinions and the number of children of the respondents. Determine
whether there is a difference in mean number of children of
respondents. Great Need 0 1 3 4 2 1 3 0 1 Some Need 10 5 7 3 9 8 7
9 10 9 77 7.7 No Need 17 10 9 3 15 10 11 10 9
Number of children
Jawaban
2 17 1.7
8 102 10.2
196 (grand total) 6.53 (grand mean)
Ho : Ha : x1 x2 x3 Minimal satupasang mean berbeda Batas
Kritis,diasumsikan UjiStatistik : UJI FN1 : 10 : 1.7
Simpanganbaku/Sb/Sd : 1.337
= 0.05N2 : 10 : 1.7 Simpanganbaku/Sb/Sd : 2.263 N3 : 10 : 1.7
Simpanganbaku/Sb/Sd : 3.794
1) Cari Grand mean-nya ( Rumusnya : =
) (
) (
)
= 6.533
2) Varian Between Rumusnya : 3) Varian Within Rumusnya : Sw2= 5.
MencariNilai F : Rumusnya : F= Uji F (Fischer) : F= = 26.864
Dfpembilang ( numerator) = k-1 / df =2 (di varian between)
Dfpenyebut (denominator)= N-k /df =27 (di varian within)
Untukmenentukanpvlihattabel F df (2 : 27) , F= 26.864maka (krn di
tabeltidakadadf denominator 27 maka di pakaidf denominator 30 .
Pvalfa KeputusanUji : Ho gagal di tolak Kesimpulan : Minimal
satupasang mean berbeda
4. 10.11) measurement on cumulative radiation dosage were made
on workers at an atomic weapons plant over a 6-month period. The
following table presents data for workers whose dosage was assessed
at three different locations. Determine whether there was a
significant difference in the mean dosage level among the three
locations. Location A Location B Location cCumulative radiation
Dosage 11 27 19 21 31 14 28 22 18 10 201 20.1 29 41 19 39 24 35 46
64 52 23 372 37.2 37 51 42 28 35 48 75 49 61 52 478 47.8
1,051 (grand total) 35.03(grand mean)
Jawaban : Ho : Ha : x1 x2 x3 Minimal satupasang mean berbeda
Batas Kritis,diasumsikan UjiStatistik : UJI FN1 : 10 : 20.1
Simpanganbaku/Sb/Sd : 7.1561
= 0.05N2 : 10 : 37.2 Simpanganbaku/Sb/Sd : 14.187 N3 : 10 : 47.8
Simpanganbaku/Sb/Sd : 13.538
1) Cari Grand mean-nya ( Rumusnya : =
) (
) (
)
= 35.033
2) Varian Between Rumusnya : 3) Varian Within Rumusnya : Sw2= 6.
MencariNilai F : Rumusnya : F= Uji F (Fischer) : F= = 13.448
Dfpembilang ( numerator) = k-1 / df =2 (di varian between)
Dfpenyebut (denominator)= N-k /df =27 (di varian within)
Untukmenentukanpvlihattabel F df (2 : 27) , F= 13.448maka (krn di
tabeltidakadadf denominator 27 maka di pakaidf denominator 30 .
Pv
