What does a small F statistic mean?
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 does a small F value mean in Anova?
The F-value in an ANOVA is calculated as: variation between sample means / variation within the samples. The higher the F-value in an ANOVA, the higher the variation between sample means relative to the variation within the samples. The higher the F-value, the lower the corresponding p-value.
Is a high or low F value better?
The higher the F value, the better the model.
What does F value mean in statistics?
The F value is a value on the F distribution. Various statistical tests generate an F value. The value can be used to determine whether the test is statistically significant. The F value is used in analysis of variance (ANOVA). It is calculated by dividing two mean squares.
What does a small p-value mean?
The p-value serves as an alternative to rejection points to provide the smallest level of significance at which the null hypothesis would be rejected. A smaller p-value means that there is stronger evidence in favor of the alternative hypothesis.
What is a high F value?
The high F-value graph shows a case where the variability of group means is large relative to the within group variability. In order to reject the null hypothesis that the group means are equal, we need a high F-value.
What is a significant F-test?
You perform the F test by looking for the appropriate p-value in the computer analysis and interpreting the resulting significance level as we did in Chapter 10. If the p-value is more than 0.05, then the result is not significant. If the p-value is less than 0.05, then the result is significant.
How do you carry out an F test?
General Steps for an F Test
- State the null hypothesis and the alternate hypothesis.
- Calculate the F value.
- Find the F Statistic (the critical value for this test).
- Support or Reject the Null Hypothesis.