================================================================== 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 Wed, 9 Jun 2004, Gang Chen wrote: > Suppose there is one factor with two levels. I could either run one-way > ANOVA or unpaired t test. I always thought that the unpaired t-test would be > the same as one-way ANOVA in the following sense: the F test in ANOVA for > two factor level means being equal (or factor effect) would be equivalent to > the unpaired t test for the difference betwen the two factor level means > since F = t^2 holds in this case. This is correct, assuming one-way ANOVA is between-subjects and that both tests are nondirectional (two-tailed). > After I took a close look of the formulas, I now realize that unpaired t > test is exactly equivalent to a one-way ANOVA when the latter is used to > test for a difference in means between two factor levels. Then I have > problem understanding the subtle difference: It seems that it is possible to > have significant factor effect while there is no significant difference > between the two factor level means. My question is: How is this possible? Why do you think it is possible to have "significant factor effect" and "no significant difference between the two factor level means" when these two statements are contradictory? To say there is a significant factor effect is equivalent to saying there is a significant difference between the two means. 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 ============================================================================
