Pertemuan 25 Uji Kesamaan Proporsi

Presentasi berjudul: "Pertemuan 25 Uji Kesamaan Proporsi"— Transcript presentasi:

1 Pertemuan 25 Uji Kesamaan Proporsi
Matakuliah : I0134 – Metoda Statistika Tahun : 2005 Versi : Revisi Pertemuan 25 Uji Kesamaan Proporsi

2 Learning Outcomes Pada akhir pertemuan ini, diharapkan mahasiswa akan mampu : Mahasiswa dapat menghasilkan uji khi-kuadrat untuk uji kesamaan proporsi.

3 Statistik uji khi-kuadrat Pengambilan keputusan
Outline Materi Hasil pengamatan Statistik uji khi-kuadrat Pengambilan keputusan

4 Uji Proporsi Goodness of Fit Test: A Multinomial Population Tests of Independence: Contingency Tables Goodness of Fit Test: Poisson and Normal Distributions

5 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

6 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).

7 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.

8 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).

9 Contoh Soal : Finger Lakes Homes (B)
Contingency Table (Independence) Test Price Colonial Ranch Split-Level A-Frame < $65, > $65,

10 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 > $99K Total

11 Contoh Soal : Finger Lakes Homes
Contingency Table (Independence) Test Test Statistic = = 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.

12 Selamat Belajar Semoga Sukses.