I want to know what the difference is between one-way ANOVA and T-test. How do I draw a significant graph with the P data from the result of ANOVA or T-test?
The answer is correct, although an ANOVA with two groups and a linear regression with a dummy variable indicating membership in the groups should all yield the same result on the same two groups. I agree that a graph of the p-values seems like a strange thing to do as they themselves should just be indicators of a threshold that you set to either reject or not reject the null hypothesis. Beyond that they have no particular interpretation. A p-value of .001 does not indicate a stronger relationship or bigger difference than an p-value of .05. The suggest graph is more informative.. For two means, side-by-side box plots, or side-by-side histograms can be very revealing about the two distributions.
ANOVA allows you to find out if a significant difference exists in at least one pair from at least three pairs. It does not tell which pair (definitely the pair of the highest and the lowest scores, if any). T-test allows you to determine if the a significant difference occurs in the ONLY pair. SPSS allows you to see t-test results (among other multi-comparison tests such as Duncan's) in ANOVA.
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