Download - (bab 6)
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BAB 6
UJIAN KHI KUASA DUA
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Dua Jenis Ujian Khi Kuasa Dua
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Formula Khi Kuasa Dua x2 = (fo - fe )2
fe
fo = Frekuensi yang dperhatikan
Fe = Frekuensi yang dijangkakan
Ujian Khi Kuasa Dua Untuk Kebagusan
∑
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Situasi 1Daripada beribu-ribu bola ping pong
(berwarna kuning dan putih) dalam sebuah kontena besar, 100 biji bola ping diambik secara rawak.- 40 berwarna putih- 60 berwarna jingga
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Cara Pengiraan
Bola Ping Pong
Langkah
I II III IV V
fo fe fo - fe
(fo - fe )2
(fo - fe )2
fe
Jingga 60 50 10 100 2.0
Putih 40 50 - 10 100 2.0
x2 4.0
Sebelum menentukan sama ada keputusan ujian Khi Kuasa Dua signifikan atau tidak, pengkaji perlu mengira darjah kebebasan dengan menggunakan formula di bawah :
df = k – 1Di mana k = bilangan kategori (warna bola pingpong)df = 2 – 1 = 1
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Analisis Ujian Khi Kuasa Dua Untuk Kebagusan Menggunakan Program SPSS
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Masukkan nilai ke dalam Variabel View
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Nilai 1,2 dan 3 dimasukkan ke dalam data
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Klik Analyze – Nonparametric Test – Chi Square
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Klik bt ke dalam Test Variable List
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Keputusan Ujian
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Ujian Khi Kuasa Dua Untuk KebebasanChi – square test for independent atau test
of homogeneityDigunakan untuk mengenalisis
perhubungan antara dua variableContoh : Variabel 1(lelaki dan perempuan)
Variabel 2 ( Tahap EQ)Variable kedua juga terdiri daripada tiga
kategori iaitu Melayu, Cina dan India.
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Situasi 2“ Perbandingan hemisferistri otak pelajar
lelaki dan pelajar perempuan tingkatan 6” Sampel = 216Saiz populasi = 2491
Hemisferisiti otak
Jantina
JumlahLelaki Perempuan
frekuensi frekuensi
Kiri 22 57 79
Kanan 51 67 118
Seimbang 2 17 19
Jumlah 75 141 216
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Cara Pengiraan fe = (fl x fb )2
NDi mana, fe = Frekuensi yang dijangkakan
fl = Frekuensi Lajur
fb = Frekuensi Baris
N = Saiz sampel
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Masukkan data ke dalam formula
HemisferisitiJantina
Lelaki Perempuan
Kiri 75 x 79 = 27.24 216
114 x 79 = 51.57 216
Kanan 75 x 118 = 40.97 216
141 x 118 = 77.03 216
Seimbang 75 x 19 = 5.90 216
114 x 19 = 12.40 216
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Nilai frekuensi yang diperhatikan dan dijangkakan
Hemisferisiti otak
Jantina
JumlahLelaki Perempuan
fo fe fo fe
Kiri 22 27.43 57 51.57 79
Kanan 51 40.97 67 77.03 118
Seimbang 2 5.90 17 12.40 19
Jumlah 75 75 141 141 216
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Masukkan nilai ke dalam formula Khi Kuasa Dua x2 = ∑ (fo - fe )2
fe
Langkah
I II III IV V
fo fe fo - fe (fo - fe )2(fo - fe )2
fe
22 27.43 - 5.43 29.48 1.07
51 40.97 10.03 100. 60 2.46
2 5.90 - 3.9 15.21 2.58
57 51.57 5.43 29.48 0.57
67 77.03 - 10.03 100.60 1.30
17 12.40 4.6 21.16 1.71
x2 9.70
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Darjah Kebebasan : df = ( b-1) x (l – 1)di mana b = bilangan baris dalam jadual l = bilangan lajur dalam jadual df = (3 – 1 ) x ( 2 – 1 )
= 2
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Jadual Kontigensi