================================================================== The gateway between this list and the sci.stat.edu newsgroup will be disabled on June 9. This list will be discontinued on June 21. Subscribe to the new list EDSTAT-L at Penn State using the web interface at http://lists.psu.edu/archives/edstat-l.html. ================================================================== . Hi
On Thu, 10 Jun 2004, Gang Chen wrote: > Now I have another question: In N-way ANOVA, does the above > conclusion hold as well? Among the N factors there is one > factor A that has two levels: would the F test for the > significance of factor A be equivalent to the t test > (two-sided) for the difference between the two factor level > means? I feel it should, but want to confirm it. No it will not be equivalent unless you use the MSE from the ANOVA as the error term for your t-test (i.e., an LSD test). The error term for the ANOVA F is based on the variability within each of the cells. For a 2-way factorial, for example, this would be: SSE = SStotal - SSA - SSB - SSAxB If you simply did a standard t-test on the data, then the error term would include some of the systematic variability that is removed in the ANOVA. For example, the t-test for A would include in Error the SSB and SSAxB. Best wishes Jim ============================================================================ James M. Clark (204) 786-9757 Department of Psychology (204) 774-4134 Fax University of Winnipeg 4L05D Winnipeg, Manitoba R3B 2E9 [EMAIL PROTECTED] CANADA http://www.uwinnipeg.ca/~clark ============================================================================
