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Uji Kesamaan Variansi(Uji Barlet)
Hasil dari minitab dengan menggunakan ANOVA-Test For Equality Variance sebagai berikut:
1. Hipotesi
H0: σ 12=σ2
2=σ32=σ4
2=σ52=σ6
2(Variansi keenam populasi adalah sama)
H1: ∃σ i2≠σ i'
2 i≠ i'=1,2 ,3 ,4 ,5 ,6(variansike enam populasi tidak sama)
2. Taraf Nyata: α=0,053. Statistik Uji:
B=
(∑ v i ) ln(∑ v i si2
∑ v i )−∑ v i ln si2
1+[{∑ ( 1v i )−( 1
∑ v i )}]{3 ( k−1 ) }
4. Kriteria Keputusan:
H0 ditolak jika B > ❑α (k−1)2
B > 12,5925. Perhitungan dengan minitab
p-value= 0,2076. Kesimpulan
Karena p-value ditolak
Uji Normalitas (Kolmogorov-Smirnov Test)
1. HipotesisHo: Data mengikuti distribusi normalH1: Data tidak mengikuti distribusi normal
2. Taraf nyata: α=0,013. Statistik uji
D=max {D+,D-}4. Kriteria keputusan
Ho ditolak jika p-value <0,015. Perhitungan
Kontrol PK N NP NK NPK
6. Kesimpulan a) P-value > 0,150 > 0,01 maka Ho diterimab) P-value > 0,150 > 0,01 maka Ho diterimac) P-value > 0,150 > 0,01 maka Ho diterimad) P-value > 0,021 > 0,01 maka Ho diterimae) P-value > 0,150 > 0,01 maka Ho diterimaf) P-value > 0,150 > 0,01 maka Ho diterima
Jadi pada taraf nyata 0,01 dapat disimpulkan bahwa masing-masing data sampel mengikuti distribusi normal.
pengaruh pupuk 13:59 Thursday, December 20, 2011 1
The GLM Procedure
Class Level Information
Class Levels Values
pupuk 6 1 2 3 4 5 6
Number of Observations Read 24 Number of Observations Used 24
pengaruh pupuk 13:59 Thursday, December 20, 2011 2
The GLM Procedure
Dependent Variable: padi
Sum of Source DF Squares Mean Square F Value Pr > F
Model 5 658.0637500 131.6127500 10.20 <.0001
Error 18 232.3625000 12.9090278
Corrected Total 23 890.4262500
R-Square Coeff Var Root MSE padi Mean
0.739044 9.053011 3.592914 39.68750
Source DF Type I SS Mean Square F Value Pr > F
pupuk 5 658.0637500 131.6127500 10.20 <.0001
Source DF Type III SS Mean Square F Value Pr > F
pupuk 5 658.0637500 131.6127500 10.20 <.0001
pengaruh pupuk 13:59 Thursday, December 20, 2011 3
The GLM Procedure
t Tests (LSD) for padi
NOTE: This test controls the Type I comparisonwise error rate, not the experimentwise error rate.
Alpha 0.05 Error Degrees of Freedom 18 Error Mean Square 12.90903 Critical Value of t 2.10092 Least Significant Difference 5.3375
Means with the same letter are not significantly different.
t Grouping Mean N pupuk
A 45.075 4 4 A A 44.575 4 6 A A 42.150 4 3 A A 41.050 4 5
B 34.100 4 2 B B 31.175 4 1
pengaruh pupuk 13:59 Thursday,
December 20, 2011 4
The GLM Procedure
Tukey's Studentized Range (HSD) Test for padi
NOTE: This test controls the Type I experimentwise error rate, but it generally has a higher Type II error rate than REGWQ.
Alpha 0.05 Error Degrees of Freedom 18 Error Mean Square 12.90903 Critical Value of Studentized Range 4.49442 Minimum Significant Difference 8.074
Means with the same letter are not significantly different.
Tukey Grouping Mean N pupuk
A 45.075 4 4 A A 44.575 4 6 A B A 42.150 4 3 B A B A 41.050 4 5 B B C 34.100 4 2 C C 31.175 4 1
pengaruh pupuk 13:59 Thursday, December 20, 2011 5
The GLM Procedure
Duncan's Multiple Range Test for padi
NOTE: This test controls the Type I comparisonwise error rate, not the experimentwise error rate.
Alpha 0.05 Error Degrees of Freedom 18 Error Mean Square 12.90903
Number of Means 2 3 4 5 6 Critical Range 5.338 5.600 5.766 5.881 5.965
Means with the same letter are not significantly different.
Duncan Grouping Mean N pupuk
A 45.075 4 4 A A 44.575 4 6 A A 42.150 4 3 A A 41.050 4 5
B 34.100 4 2 B
B 31.175 4 1
