1 / 12

Pertemuan 25 Uji Kesamaan Proporsi

Pertemuan 25 Uji Kesamaan Proporsi. Matakuliah : I0134 – Metoda Statistika Tahun : 2005 Versi : Revisi. Learning Outcomes. Pada akhir pertemuan ini, diharapkan mahasiswa akan mampu : Mahasiswa dapat menghasilkan uji khi-kuadrat untuk uji kesamaan proporsi.

fuller-knight
Download Presentation

Pertemuan 25 Uji Kesamaan Proporsi

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

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

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

  3. 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 < $65,000 18 6 19 12 > $65,000 12 14 16 3

  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 18 6 19 12 55 > $99K 12 14 16 3 45 Total 30 20 35 15 100

  11. 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.

  12. Selamat Belajar Semoga Sukses.

More Related