For what are the t-test and F-test used for?

F-test and T-test are the two statistical test used for hypothesis testing. They assist the researchers to decide whether to accept the null hypothesis or reject it.

What is the difference between F-test and t-test in regression?

In general, an F-test in regression compares the fits of different linear models. Unlike t-tests that can assess only one regression coefficient at a time, the F-test can assess multiple coefficients simultaneously. A regression model that contains no predictors is also known as an intercept-only model.

What is the relationship between the F statistic and the t-statistic?

It is often pointed out that when ANOVA is applied to just two groups, and when therefore one can calculate both a t-statistic and an F-statistic from the same data, it happens that the two are related by the simple formula: t2 = F.

How do you interpret F-test results?

If you get a large f value (one that is bigger than the F critical value found in a table), it means something is significant, while a small p value means all your results are significant. The F statistic just compares the joint effect of all the variables together.

What type of test is used in the F-test?

In most cases, when people talk about the F-Test, what they are actually talking about is The F-Test to Compare Two Variances. However, the f-statistic is used in a variety of tests including regression analysis, the Chow test and the Scheffe Test (a post-hoc ANOVA test).

Which t-test should I use?

If you are studying one group, use a paired t-test to compare the group mean over time or after an intervention, or use a one-sample t-test to compare the group mean to a standard value. If you are studying two groups, use a two-sample t-test. If you want to know only whether a difference exists, use a two-tailed test.

What does the t-test tell you?

The t test tells you how significant the differences between groups are; In other words it lets you know if those differences (measured in means) could have happened by chance. A t test can tell you by comparing the means of the two groups and letting you know the probability of those results happening by chance.

What does an F statistic tell you?

The F-statistic is simply a ratio of two variances. Variances are a measure of dispersion, or how far the data are scattered from the mean. The term “mean squares” may sound confusing but it is simply an estimate of population variance that accounts for the degrees of freedom (DF) used to calculate that estimate.