1 / 18

Analisis Varians Dwi Arah Pertemuan 22

Analisis Varians Dwi Arah Pertemuan 22. Matakuliah : I0174 – Analisis Regresi Tahun : Ganjil 2007/2008. ELEMENTARY. Analisis Varians dwi arah tanpa interaksi Pendekatan regresi bagi bagi klasifikasi dua arah. Definitions. Total Deviation from the mean of the particular point ( x, y )

ita
Download Presentation

Analisis Varians Dwi Arah Pertemuan 22

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. Analisis Varians Dwi ArahPertemuan 22 Matakuliah : I0174 – Analisis Regresi Tahun : Ganjil 2007/2008

  2. ELEMENTARY • Analisis Varians dwi arah tanpa interaksi • Pendekatan regresi bagi bagi klasifikasi dua arah

  3. Definitions Total Deviation from the mean of the particular point (x, y) the vertical distance y - y, which is the distance between the point (x, y) and the horizontal line passing through the sample mean y Explained Deviation the vertical distance y - y, which is the distance between the predicted y value and the horizontal line passing through the sample mean y Unexplained Deviation the vertical distance y - y, which is the vertical distance between the point (x, y) and the regression line. (The distance y - y is also called a residual, as defined in Section 9-3.) ^ ^ ^

  4. 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0 Figure 9-9 Unexplained, Explained, and Total Deviation y (5, 19) • Unexplained deviation (y - y) Total deviation (y - y) (5, 13) ^ • Explained deviation (y - y) ^ • y = 9 (5, 9) ^ y = 3 + 2x x 0 1 2 3 4 5 6 7 8 9

  5. (total deviation) = (explained deviation) + (unexplained deviation) ^ ^ (y - y) = (y - y) + (y - y)

  6. (total deviation) = (explained deviation) + (unexplained deviation) ^ ^ (y - y) = (y - y) + (y - y) (total variation) = (explained variation) + (unexplained variation) ^ (y - y) 2 =  (y - y) 2 + (y - y) 2 ^ Formula 9-5

  7. Definition Coefficient of determination the amount of the variation in y that is explained by the regression line

  8. Definition Coefficient of determination The amount of the variation in y that is explained by the regression line explained variation r2 = total variation

  9. Definition Coefficient of determination the amount of the variation in y that is explained by the regression line explained variation. r2 = total variation or simply square r (determined by Formula 9-1, section 9-2)

  10. Prediction Intervals Definition Standard error of estimate

  11. Prediction Intervals Definition Standard error of estimate a measure of the differences (or distances) between the observed sample y values and the predicted values y that are obtained using the regression equation ^

  12. Standard Error of Estimate

  13. Standard Error of Estimate se = (y - y)2 ^ n- 2

  14. Standard Error of Estimate se = (y - y)2 ^ n- 2 or y2 - b0  y - b1  xy se = n- 2 Formula 9-6

  15. Prediction Interval for an Individual y

  16. Prediction Interval for an Individual y y - E < y < y + E ^ ^

  17. n(x2) - (x)2 Prediction Interval for an Individual y y - E < y < y + E ^ ^ where n(x0 - x)2 1 1 + + E = t2 se n

  18. n(x2) - (x)2 Prediction Interval for an Individual y ^ ^ y - E < y < y + E where n(x0 - x)2 1 1 + + E = t2 se n x0 represents the given value of x t2 has n- 2 degrees of freedom

More Related