JMP for Basic Univariate and Multivariate Statistics by Ann Lehman Norm O'Rourke Larry Hatcher Edward J. Stepanski

Author:Ann Lehman, Norm O'Rourke, Larry Hatcher, Edward J. Stepanski
Language: eng
Format: epub
Publisher: SAS Institute, Inc.
Published: 2013-05-13T16:00:00+00:00

Analysis of Variance Table

You use the Analysis of Variance table to review the F statistic produced by the analysis and its associated p-value. As with the one-way ANOVA, look at the F statistic to see if you can reject the null hypothesis for the whole model (Figure 9.11). There is no difference between the mean commitment score and the commitment score predicted by the statistical model that include the main effects, Reward Group and Cost Group, and their interaction.

Or, looking back at Table 9.2, the null hypotheses states,

“In the population there is no difference in mean commitment scores between any of the groups of people identified by the cells (categories) in the factorial design.”

Symbolically, you can represent the null hypothesis this way:

µ11 = µ12 = µ13= µ21= µ22= µ23

where µ 11 is the mean commitment score for the population of people in the less-cost, low-reward condition; µ 12 is the mean commitment score for the population of people in the less-cost, mixed-reward condition; and so forth.

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