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B. Data RAK
10 15 20 25Kayu 76 87 112 148Lantai 84 93 114 134Paving 52 79 99 106Karpet 37 70 77 92Kain 30 53 65 76Tikar 35 62 79 92Koran 44 55 72 97Kardus 63 74 98 107Tanah 15 46 49 61Stereofom 40 78 100 108
1. Uji Asumsi ANOVA
a. Normalitas
SPSS
Tests of Normality
Sudut
Kolmogorov-Smirnova Shapiro-Wilk
Statistic df Sig. Statistic df Sig.
Panjang 10 .167 10 .200* .959 10 .774
15 .130 10 .200* .968 10 .867
20 .205 10 .200* .944 10 .594
25 .208 10 .200* .960 10 .790
a. Lilliefors Significance Correction
*. This is a lower bound of the true significance.
Q-Q Plot sudut 10o
Q-Q Plot sudut 15o
Q-Q Plot sudut 20o
Q-Q Plot sudut 25o
Detrended sudut 10o
Detrended sudut 15o
Detrended sudut 20o
Detrended sudut 25o
Minitab
Sudut 10o
Sudut 15o
Sudut 20o
Sudut 25o
b. Linearitas
SPSS
ANOVA Table
Sum of Squares df Mean Square F Sig.
Panjang *
Sudut
Between
Groups
(Combined) 16368.075 3 5456.025 12.173 .000
Linearity 16254.045 1 16254.045 36.264 .000
Deviation from Linearity 114.030 2 57.015 .127 .881
Within Groups 16135.900 36 448.219
Total 32503.975 39
c. Homogenitas Variansi
SPSS
Test of Homogeneity of Variances
Panjang
Levene Statistic df1 df2 Sig.
.535 3 36 .662
Minitab
Test for Equal Variances: C1 versus C2
95% Bonferroni confidence intervals for standard deviations
C2 N Lower StDev Upper10 10 13,3623 21,3500 47,215915 10 9,6331 15,3916 34,038720 10 13,3624 21,3503 47,216525 10 15,8867 25,3835 56,1361
Bartlett's Test (normal distribution)Test statistic = 2,07; p-value = 0,557
Levene's Test (any continuous distribution)Test statistic = 0,48; p-value = 0,700
d. Independensi
Minitab
Chi-Square Test: panjang; sudut; alas
Expected counts are printed below observed countsChi-Square contributions are printed below expected counts
panjang sudut alas Total 1 76 10 1 87 66,88 15,31 4,81 1,242 1,839 3,018
2 84 10 2 96 73,80 16,89 5,31 1,409 2,810 2,061
3 52 10 3 65 49,97 11,44 3,59 0,082 0,180 0,098
4 37 10 4 51 39,21 8,97 2,82 0,124 0,118 0,494
5 30 10 5 45 34,60 7,92 2,49 0,610 0,548 2,536
6 35 10 6 51 39,21 8,97 2,82 0,452 0,118 3,587
7 44 10 7 61 46,90 10,73 3,37 0,179 0,050 3,901
8 63 10 8 81 62,27 14,25 4,48 0,009 1,267 2,769
9 15 10 9 34 26,14 5,98 1,88
4,747 2,700 26,968
10 40 10 10 60 46,13 10,56 3,32 0,814 0,029 13,461
11 87 15 1 103 79,18 18,12 5,69 0,771 0,537 3,870
12 93 15 2 110 84,57 19,35 6,08 0,841 0,979 2,740
13 79 15 3 97 74,57 17,06 5,36 0,263 0,250 1,041
14 70 15 4 89 68,42 15,66 4,92 0,036 0,028 0,172
15 53 15 5 73 56,12 12,84 4,04 0,174 0,362 0,230
16 62 15 6 83 63,81 14,60 4,59 0,051 0,011 0,434
17 55 15 7 77 59,20 13,55 4,26 0,297 0,156 1,767
18 74 15 8 97 74,57 17,06 5,36 0,004 0,250 1,296
19 46 15 9 70 53,82 12,31 3,87 1,135 0,586 6,799
20 78 15 10 103 79,18 18,12 5,69 0,018 0,537 3,254
21 112 20 1 133 102,25 23,40 7,35 0,930 0,493 5,490
22 114 20 2 136 104,55 23,93 7,52 0,853 0,644 4,051
23 99 20 3 122 93,79 21,46 6,75 0,289 0,100 2,080
24 77 20 4 101 77,65 17,77 5,58 0,005 0,280 0,449
25 65 20 5 90 69,19 15,83 4,98 0,254 1,097 0,000
26 79 20 6 105 80,72 18,47 5,81
0,037 0,126 0,007
27 72 20 7 99 76,11 17,42 5,47 0,222 0,383 0,426
28 98 20 8 126 96,87 22,17 6,97 0,013 0,212 0,153
29 49 20 9 78 59,97 13,72 4,31 2,005 2,872 5,095
30 100 20 10 130 99,94 22,87 7,19 0,000 0,360 1,100
31 148 25 1 174 133,77 30,61 9,62 1,514 1,028 7,724
32 134 25 2 161 123,77 28,32 8,90 0,845 0,390 5,351
33 106 25 3 134 103,02 23,57 7,41 0,086 0,086 2,624
34 92 25 4 121 93,02 21,29 6,69 0,011 0,648 1,082
35 76 25 5 106 81,49 18,65 5,86 0,370 2,164 0,126
36 92 25 6 123 94,56 21,64 6,80 0,069 0,522 0,094
37 97 25 7 129 99,17 22,69 7,13 0,048 0,234 0,002
38 107 25 8 140 107,63 24,63 7,74 0,004 0,006 0,009
39 61 25 9 95 73,03 16,71 5,25 1,983 4,109 2,674
40 108 25 10 143 109,94 25,16 7,91 0,034 0,001 0,554
Total 3059 700 220 3979
Chi-Sq = 171,532; DF = 78; P-Value = 0,00016 cells with expected counts less than 5.
2. Uji ANOVA
Excel
Anova: Two-Factor Without Replication
SUMMARY Count Sum Average VarianceRow 1 4 423 105,75 1020,25Row 2 4 425 106,25 500,25Row 3 4 336 84 586Row 4 4 276 69 539,3333Row 5 4 224 56 388,6667Row 6 4 268 67 606Row 7 4 268 67 532,6667Row 8 4 342 85,5 419Row 9 4 171 42,75 384,25Row 10 4 326 81,5 926,3333
Column 1 10 476 47,6 455,8222Column 2 10 697 69,7 236,9Column 3 10 865 86,5 455,8333Column 4 10 1021 102,1 644,3222
ANOVASource of Variation SS df MS F P-value F crit
Rows 14795,73 9 1643,969 33,120432,58E-
12 2,250131
Columns 16368,08 3 5456,025 109,92053,02E-
15 2,960351Error 1340,175 27 49,63611
Total 32503,98 39
SPSS
ANOVA
Panjang
Sum of Squares df Mean Square F Sig.
Between Groups 16368.075 3 5456.025 12.173 .000
Within Groups 16135.900 36 448.219
Total 32503.975 39
Minitab
Two-way ANOVA: panjang versus sudut; alas
Source DF SS MS F Psudut 3 16368,1 5456,02 109,92 0,000alas 9 14795,7 1643,97 33,12 0,000Error 27 1340,2 49,64Total 39 32504,0
S = 7,045 R-Sq = 95,88% R-Sq(adj) = 94,04%