Contents
Why is the ANOVA better than the t-test?
The fact the ANOVA can test more than one treatment is a major advantage over other statistical analysis such as the t-test, it opens up many testing capabilities but it certainly doesn’t help with mathematical headaches. It is important to know that when looking at the analysis of variance an IV is called a factor,…
How does ANOVA control for Type I errors?
An ANOVA controls for these errors so that the Type I error remains at 5% and you can be more confident that any statistically significant result you find is not just running lots of tests. See our guide on hypothesis testing for more information on Type I errors.
What is the null hypothesis in ANOVA testing?
The null hypothesis is there is no difference in satisfaction between the three restaurants. However, the data seems to imply otherwise. ANOVA makes use of the F-test to determine if the variance in response to the satisfaction questions is large enough to be considered statistically significant.
What does the F test mean in ANOVA?
In this example, the F-test for satisfaction is 51.19 which is considered statistically significant indicating there is a real difference between average satisfaction scores. ANOVA indicates whether or not there is a significant difference, it does not provide, however, direction as to which group is higher or lower.
Can a one way ANOVA handle balanced data?
The ANOVA procedure is able to handle balanced data only, but the GLM and MIXED procedures can deal with both balanced and unbalanced data. The t-test and one-way ANOVA do not matter whether data are balanced or not. STATA has the .ttest, and the .ttesti commands for t-test, and the .anova, and .manova commands conduct ANOVA.
Which is the best Stata command for t-test?
STATA has the .ttest, and the .ttesti commands for t-test, and the .anova, and .manova commands conduct ANOVA. Note STATA .glm command is not used for ANOVA. DATA STRUCTURE
Which is a fundamental assumption of the t-test?
One fundamental assumption to perform t-test is that both samples are normally distributed. T-test can also be performed before and after any specific treatment is applied which has a name called ‘paired t-test’ to compare the means of the same group including the effect of the treatment.