t(ea) for Two Tests Between the Means of Different Groups Ratri Psikologi Pendidikan UNJ
T Test for Independent Sample t-test Independet sampel digunakan untuk membandingkan perbedaan means dari dua kelompok dimana partisipan diuji hanya satu kali. Contoh: penelitian mengenai eating disorders pada kelompok siswa ras Indian dan ras Australia. Pada dua kelompok tersebut diberikan kuesioner Eating Attitudes Test, kemudian dihitung skor kedua kelompok dan dibandingkan mean skor keduanya.
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Computing the Test Statistic Rumus: t = X1 – X2 √ (n1-1)s12 + (n2-1)s22 n1+n2 n1+n2 n1n2 . X1 mean kelompok 1 X2 mean kelompok 2 n1 jumlah partisipan kelompok 1 n2 jumlah partisipan kelompok 2 s12 varians kelompok 1 s22 varians kelompok 2
Contoh: Data dua kelompok 7 3 2 8 5 4 6 10 1 9 12 15
Eight steps and computation of the t-test Step 1 (Hipotesis) Hipotesis null: H0: µ1 = µ2 Hipotesis penelitian H1: X1 ≠ X2 Step 2 Level of Significant / Type I error LoS = 0.05 Step 3 Selection of the appropriate test statistic t-test for independent means; because the groups are independent of one another.
Step 4 Computation of the test statistic value (obtained value) t = 5.43 – 5.53 √ (30-1) 3.422 + (30-1) 2.062 (30+30) (30+30-2) 30x30 = -0.14 Step 5 Using table critical value t-tes Determination the degree of freedom (df) df = n1-1 + n2-1 = (30 – 1) + (30 – 1) = 58 Critical value for df 60 (closest to actual sample size) = 2.001
Step 6 A comparison of the obtained value and the critical value Obtained value = - 0.14 Critical value (for rejection null hypothesis) = 2.001 LoS = 0.05 Step 7 and 8 Decision time! -.14 < 2.001 hipotesis null diterima -.14, p > 0.05 p = n.s (non significant)
Time to Practice! Data Hitung t-test Cari dulu soalnyaaa....