Completing the anova
Download
1 / 14

Completing the ANOVA - PowerPoint PPT Presentation


  • 252 Views
  • Uploaded on

Completing the ANOVA. From the Summary Statistics. Necessary Information. It is possible to complete the Analysis of Variance table for simple regression from the summary statistics. You need the correlation coefficient, the sample size, and the sample variance for the response variable, y.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' Completing the ANOVA' - ignatius-eaton


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.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
Completing the anova

Completing the ANOVA

From the Summary Statistics


Necessary information
Necessary Information

  • It is possible to complete the Analysis of Variance table for simple regression from the summary statistics.

  • You need the correlation coefficient, the sample size, and the sample variance for the response variable, y.

  • You do not need any summary statistics for the predictor variable, x.


Summary statistics
Summary Statistics

  • This explanation will assume the following values.

  • Pearson’s correlation coefficient is 0.314

  • The sample size is 28

  • The variance of the response variable is 20.3401


Anova
ANOVA

Correlation coefficient = 0.314, sample size = 28,variance of response variable = 20.3401


Anova1
ANOVA

The regression df is always 1 for simple regression

Correlation coefficient = 0.314, sample size = 28,variance of response variable = 20.3401


Anova2
ANOVA

The total df is n-1.28 - 1 = 27

Correlation coefficient = 0.314, sample size = 28,variance of response variable = 20.3401


Anova3
ANOVA

Use subtraction to find the residual df27 - 1 = 26

Correlation coefficient = 0.314, sample size = 28,variance of response variable = 20.3401


Anova4
ANOVA

The total MS is the variance on the response variable

Correlation coefficient = 0.314, sample size = 28,variance of response variable = 20.3401


Anova5
ANOVA

Find the SS by multiplying the MS by the df27 x 20.3401 = 549.1827

Correlation coefficient = 0.314, sample size = 28,variance of response variable = 20.3401


Anova6
ANOVA

R2 = SS(Reg) / SS(Total)0.3142 = SS(Reg) / 549.1827SS(Reg) = 0.3142 x 549.1827SS(Reg) = 54.1472

Correlation coefficient = 0.314, sample size = 28,variance of response variable = 20.3401


Anova7
ANOVA

Use subtraction to findthe residual SSSS = 549.1827-54.1472SS = 495.0355

Correlation coefficient = 0.314, sample size = 28,variance of response variable = 20.3401


Anova8
ANOVA

Divide SS by df to find MS54.1472 / 1 = 54.1472

Correlation coefficient = 0.314, sample size = 28,variance of response variable = 20.3401


Anova9
ANOVA

Divide SS by df to find MS495.0355 / 26 = 19.0398

Correlation coefficient = 0.314, sample size = 28,variance of response variable = 20.3401


Anova10
ANOVA

F is found by dividing the two variancesF = 54.1472 / 19.0398F = 2.8439

Correlation coefficient = 0.314, sample size = 28,variance of response variable = 20.3401


ad