1 / 6

11/21 12.1 Inference for one-way ANOVA

11/21 12.1 Inference for one-way ANOVA. Using Table E. The F distribution is asymmetrical and has two distinct degrees of freedom. This was discovered by Fisher, hence the label “F.”

flynn-mclaughlin
Télécharger la présentation

11/21 12.1 Inference for one-way ANOVA

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. 11/2112.1 Inference for one-way ANOVA

  2. Using Table E The F distribution is asymmetrical and has two distinct degrees of freedom. This was discovered by Fisher, hence the label “F.” Once again, what we do is calculate the value of F for our sample data and then look up the corresponding area under the curve in Table E.

  3. dfnum = I− 1 p F dfden=N−I Table E For df: 5,4

  4. Fcritical for a 5% is 3.49 F = 12.08 > 10.80 Thus p< 0.001

  5. The ANOVA table R2 = SSG/SST √MSE = sp Coefficient of determination Pooled standard deviation The sum of squares represents variation in the data: SST = SSG + SSE. The degrees of freedom likewise reflect the ANOVA model: DFT = DFG + DFE. Data (“Total”) = fit (“Groups”) + residual (“Error”)

  6. Excel output for the one-way ANOVA numerator denominator Here, the calculated F-value (12.08) is larger than Fcritical (3.49) for a 0.05. Thus, the test is significant at a 5%  Not all mean seedling lengths are the same; the number of nematodes is an influential factor.

More Related