Tabel Perhitungan Uji Normalitas Kelompok PJBL

Tabel Distribusi Frekuensi Problem Solving No Interval Batas bawah Batas atas Frekuensi Titik Tengah xi xi2 fixi fixi2 fi f fk 1 44-53 43.5 53.5 1 2.5 1 70.5 4970.25 70.5 4970.25 2 54-63 53.5 63.5 4 10 5 85.5 7310.25 342 116964 3 64-73 63.5 73.5 7 17.5 12 100.5 10100.25 703.5 494912.3 4 74-83 73.5 83.5 15 37.5 27 115.5 13340.25 1732.5 3001556 5 84-93 83.5 93.5 12 30 39 130.5 17030.25 1566 2452356 6 94-103 93.5 103.5 1 2.5 40 145.5 21170.25 145.5 21170.25 Jumlah 40 100 6091929 Rata rata 76.67 Median 77.78 Modus 77.78 Varians 150.68 Simpangan baku 12.28 Tabel Perhitungan Uji Normalitas Kelompok Problem Solving No Kelas Interval Batas Kelas z FZ Luas Kelas Interval Fe Fo Fo-Fe Fo-Fe² Fo- Fe²Fe 43.5 -2.70 0.4965 1 44-53 0.0259 1.036 1 -0.036 0.0013 0.00 53.5 -1.89 0.4706 2 54-63 0.1129 4.516 4 -0.516 0.27 0.06 63.5 -1.07 0.3577 3 64-73 0.2551 10.204 7 -3.204 10.27 1.01 73.5 -0.26 0.1026 4 74-83 0.3114 12.456 15 2.544 6.47 0.52 83.5 0.56 0.2088 5 84-93 0.2059 8.236 12 3.764 14.17 1.72 93.5 1.37 0.4147 6 94-103 0.0707 2.828 1 -1.828 3.34 1.18 103.5 2.18 0.4854 Rata-rata 76.67 Simpangan baku 12.28 x2 hitung 4.49 x2 tabel 0.053 9.49 Kesimpulan : Terima HO DATA BERASAL DARI POPULASI YANG NORMAL LAMPIRAN 15 Uji Homogenitas Bartlett Pretest Project Based Learning PJBL, Problem Based Learning PBL, dan Problem Solving 1. Hipotesis yang akan diuji adalah: Ho: = = H1: Bukan Ho 2. Jika X² hitung X² α , berarti Ho diterima Jika X² hitung X² α , berarti Ho ditolak No Nama Nilai Pretest PJBL PBL Problem solving 1 A 55.56 33.33 66.67 2 B 55.56 44.44 44.44 3 C 33.33 66.67 44.44 4 D 44.44 55.56 44.44 5 E 44.44 11.11 66.67 6 F 44.44 66.67 44.44 7 G 55.56 55.56 55.56 8 H 55.56 66.67 55.56 9 I 11.11 33.33 11.11 10 J 22.22 33.33 66.67 11 K 11.11 44.44 33.33 12 L 33.33 66.67 33.33 13 M 55.56 44.44 55.56 14 N 55.56 22.22 55.56 15 O 33.33 11.11 33.33 16 P 22.22 66.67 55.56 17 Q 44.44 33.33 55.56 18 R 33.33 55.56 33.33 19 S 33.33 33.33 55.56 20 T 33.33 33.33 66.67 No Nama Nilai Pretest PJBL PBL Problem solving 21 U 44.44 22.22 44.44 22 V 44.44 33.33 55.56 23 W 55.56 44.44 55.56 24 X 66.67 33.33 66.67 25 Y 33.33 22.22 66.67 26 Z 22.22 33.33 55.56 27 AB 33.33 22.22 55.56 28 AC 33.33 22.22 33.33 29 AD 55.56 22.22 44.44 30 AE 33.33 44.44 33.33 31 AF 44.44 33.33 44.44 32 AG 66.67 44.44 33.33 33 AH 22.22 44.44 33.33 34 AI 33.33 33.33 55.56 35 AJ 44.44 44.44 55.56 36 AK 55.56 55.56 55.56 37 AL 55.56 22.22 33.33 38 AM 44.44 55.56 44.44 39 AN 22.22 33.33 44.44 40 AO 44.44 44.44 22.22 41 AP 33.33 44.44 Jumlah 1666.66 1633.32 1911.11 Rata-rata 40.65

39.84 47.78

Varians 195.13 234.42 178.54 S² 13.97

15.31 13.36

Langkah-langkah perhitungan Uji Barlett S1² 195.16 dk 40 S2² 234.42 dk 40 S3² 178.54 dk 39 Tabel Uji Homogenitas Varians SAMPEL n dk 1dk Si² dk.Si² log Si² dklog Si² kel 1 41 40 0.025 195.16 7806.4 2.2904 91.616 kel 2 41 40 0.025 234.42 9376.8 2.37 94.8 kel 3 40 39 0.025641 178.54 6963.1 2.2517 87.818 jumlah 122 119 608.12 6309 6.912 274.23  S² Gabungan = = = 209.52  B = Log S² Gabungan ∑n i -1 = log 209.52 119 = 276.23  X² hitung = ln10 B- ∑n1-1log S² = 2.3026 276.23-274.23 = 4.60  X² hitung 4.60 dan X² tabel 0.052 = 5.99  Maka X² hitung X² tabel = 4.60 5.99  Ho diterima Dengan demikian Ho: = = data mempunyai varians yang sama Homogen ∑ �� ��² ∑ �� LAMPIRAN 16 Uji Homogenitas Bartlett Posttest Project Based Learning PJBL, Problem Based Learning PBL, dan Problem Solving 1. Hipotesis yang akan diuji adalah: Ho: = = H1: Bukan Ho 2. Jika X² hitung X² α , berarti Ho diterima Jika X² hitung X² α , berarti Ho ditolak No Nama Nilai Posttest PJBL PBL Problem solving 1 A 77.78 44.44 77.78 2 B 88.89 77.78 55.56 3 C 77.78 66.67 77.78 4 D 88.89 88.89 88.89 5 E 77.78 88.89 77.78 6 F 88.89 88.89 88.89 7 G 88.89 77.78 77.78 8 H 100.00 66.67 66.67 9 I 88.89 77.78 77.78 10 J 88.89 66.67 77.78 11 K 100.00 66.67 55.56 12 L 44.44 66.67 66.67 13 M 66.67 77.78 88.89 14 N 100.00 77.78 88.89 15 O 88.89 66.67 77.78 16 P 77.78 88.89 66.67 17 Q 77.78 77.78 77.78 18 R 77.78 77.78 88.89 19 S 77.78 88.89 88.89 20 T 77.78 100.00 88.89 21 U 77.78 77.78 77.78 22 V 66.67 66.67 77.78 23 W 88.89 88.89 44.44 24 X 77.78 66.67 55.56 25 Y 66.67 66.67 66.67 26 Z 88.89 66.67 77.78 27 AB 88.89 66.67 88.89 No Nama Nilai Posttest PJBL PBL Problem solving 28 AC 88.89 77.78 66.67 29 AD 77.78 66.67 77.78 30 AE 100.00 88.89 88.89 31 AF 77.78 88.89 77.78 32 AG 100.00 77.78 88.89 33 AH 100.00 77.78 88.89 34 AI 88.89 66.67 77.78 35 AJ 88.89 88.89 55.56 36 AK 55.56 66.67 88.89 37 AL 77.78 66.67 66.67 38 AM 66.67 77.78 77.78 39 AN 77.78 88.89 100.00 40 AO 88.89 88.89 66.67 41 AP 88.89 77.78 - Jumlah 3388.89 3133.34 3066.67 Rata-rata 82.66

76.42 76.67

Varians 148.45 118.49 150.68 S² 12.18

10.89 12.28

Langkah-langkah perhitungan Uji Barlett S1² 148.35 dk 40 S2² 118.59 dk 40 S3² 150.88 dk 39 TABEL UJI HOMOGENITAS VARIANS SAMPEL n dk 1dk Si² dk.Si² log Si² dklog Si² kel 1 41 40 0.025 148.35 5934.10 2.17 86.85 kel 2 41 40 0.025 118.59 4743.68 2.07 82.96 kel 3 40 39 0.025641 150.80 5881.14 2.18 84.96 Jumlah 122 119 - 417.74 16558.92

6.42 254.77

 S² Gabungan = = = 143.93  B = Log S² Gabungan ∑n i -1 = log 143.93 119 = 276.23  X² hitung = ln10 B- ∑n1-1log S² = 2.3026 276.23-254.77 = 5.22  X² hitung 5.22 dan X² tabel 0.052 = 5.99  Maka X² hitung X² tabel = 5.22 5.99  Ho diterima Dengan demikian Ho: = = data mempunyai varians yang sama Homogen ∑ �� ��² ∑ ��