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Two main vices of argument you might say. The first is there might be something wrong with the premises. In particular, they might be false, or at least one of them might be false.
Because in the end, the two definitions are equivalent. It's just a matter of what's going to help you understand which arguments are valid and which ones are not. In addition to understanding what validity is, it's also very important to understand what validity is not.
That is, the premises being true, and the conclusion falls in the same situation. If you can tell a coherent story with that combination, then it's possible and the argument's not valid. But if there's no way to tell a coherent story. Where the premises are true and the conclusion's false, then the argument's valid.
When reporting your t-test results, the most important values to include are the t-value, the p-value, and the degrees of freedom for the test. These will communicate to your audience whether the difference between the two groups is statistically significant (a.k.a. that it is unlikely to have happened by chance).
When choosing a t-test, you will need to consider two things: whether the groups being compared come from a single population or two different populations, and whether you want to test the difference in a specific direction.
Published on January 31, 2020 by Rebecca Bevans. Revised on December 14, 2020. A t-test is a statistical test that is used to compare the means of two groups. It is often used in hypothesis testing to determine whether a process or treatment actually has an effect on the population of interest, ...
If your data do not fit these assumptions, you can try a nonparametric alternative to the t-test, such as the Wilcoxon Signed-Rank test for data with unequal variances.
A one-sample t-test is used to compare a single population to a standard value (for example, to determine whether the average lifespan of a specific town is different from the country average).
Most statistical software (R, SPSS, etc.) includes a t-test function. This built-in function will take your raw data and calculate the t -value. It will then compare it to the critical value, and calculate a p -value. This way you can quickly see whether your groups are statistically different.
Your choice of t-test depends on whether you are studying one group or two groups, and whether you care about the direction of the difference in group means.