Uji Kesamaan Proporsi dan Uji Kebebasan Pertemuan 24 Matakuliah : Statistika Psikologi Tahun : 2008 Uji Kesamaan Proporsi dan Uji Kebebasan Pertemuan 24

Learning Outcomes Pada akhir pertemuan ini, diharapkan mahasiswa akan mampu : Mahasiswa akan dapat menghasilkan simpulan dari uji kebebasan dan kesamaan proporsi. Bina Nusantara University

Outline Materi Uji kebebasan Uji kesamaan proporsi Bina Nusantara University

Uji Kebebasan Goodness of Fit Test: A Multinomial Population Tests of Independence: Contingency Tables Goodness of Fit Test: Poisson and Normal Distributions Bina Nusantara University

A Multinomial Population 1. Set up the null and alternative hypotheses. 2. Select a random sample and record the observed frequency, fi , for each of the k categories. 3. Assuming H0 is true, compute the expected frequency, ei , in each category by multiplying the category probability by the sample size. continued Bina Nusantara University

A Multinomial Population 4. Compute the value of the test statistic. 5. Reject H0 if (where  is the significance level and there are k - 1 degrees of freedom). Bina Nusantara University

Test of Independence: Contingency Tables 1. Set up the null and alternative hypotheses. 2. Select a random sample and record the observed frequency, fij , for each cell of the contingency table. 3. Compute the expected frequency, eij , for each cell. Bina Nusantara University

Test of Independence: Contingency Tables 4. Compute the test statistic. 5. Reject H0 if (where  is the significance level and with n rows and m columns there are (n - 1)(m - 1) degrees of freedom). Bina Nusantara University

Contoh Soal : Finger Lakes Homes (B) Contingency Table (Independence) Test Price Colonial Ranch Split-Level A-Frame < $65,000 18 6 19 12 > $65,000 12 14 16 3 Bina Nusantara University

Contoh Soal : Finger Lakes Homes Contingency Table (Independence) Test Hypotheses H0: Price of the home is independent of the style of the home that is purchased Ha: Price of the home is not independent of the style of the home that is purchased Expected Frequencies Price Colonial Ranch Split-Level A-Frame Total < $99K 18 6 19 12 55 > $99K 12 14 16 3 45 Total 30 20 35 15 100 Bina Nusantara University

Contoh Soal : Finger Lakes Homes Contingency Table (Independence) Test Test Statistic = .1364 + 2.2727 + . . . + 2.0833 = 9.1486 Rejection Rule With  = .05 and (2 - 1)(4 - 1) = 3 d.f., Reject H0 if 2 > 7.81 Conclusion We reject H0, the assumption that the price of the home is independent of the style of the home that is purchased. Bina Nusantara University

Selamat Belajar Semoga Sukses. Bina Nusantara University