Why is ANOVA more appropriate than multiple t-tests when comparing more than two groups?

Expert Solution

Let us assume that we are comparing three groups using multiple t-tests . For the given three groups, we need to run = 3 t-tests to evaluate mean differences among three groups. ANOVA test will be a single test to compare the mean differences of the three groups.
Every time you conduct a t-test there is a chance that you will make a Type I error. This error is usually = 5%. By running three t-tests the probability of making Type I error is the probability of making Type I error in at least one of the test = = 0.1426.

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.

The Type I error will significantly increases as we increase the number of multiple t-tests, but in ANOVA test the probability of making Type I error will be fixed at 5%. So, it is more appropriate to use ANOVA instead of multiple t-tests when comparing more than two groups.

orchestra answered 1 year ago

Why is it not appropriate to run multiple t-tests instead of an ANOVA? An Fobt over...

Why is it not appropriate to run multiple t-tests instead of an ANOVA? An Fobt over what number indicates there is an effect of the independent variable?

A t ratio compares two means and the ANOVA compares more than two means. Why is...

A t ratio compares two means and the ANOVA compares more than two means. Why is ANOVA used rather than a series of t tests? It holds type I error at a constant level It increases Type I error It is too much work to do a series of t tests Both methods provide the same information

When would it be appropriate to use the following statistical tests?/ One-way ANOVA and a Two-way...

When would it be appropriate to use the following statistical tests?/ One-way ANOVA and a Two-way ANOVA

Why is it necessary to adjust alpha (α) when preforming multiple F-tests following ANOVA to identify...

Why is it necessary to adjust alpha (α) when preforming multiple F-tests following ANOVA to identify where the differences lie?

which type of anova is ised when there are two indeoendent variables each with more than...

which type of anova is ised when there are two indeoendent variables each with more than two levels and with different participants tsking part in each condition and there is a continuous scale dependent variable

When an independent variable has more than three levels, why should you conduct an ANOVA and...

When an independent variable has more than three levels, why should you conduct an ANOVA and post-hoc testing instead of just multiple t-tests?

Why are there are multiple stock markets, why is there more than one? Why is a...

Why are there are multiple stock markets, why is there more than one? Why is a company listed on one versus another?

13) Post-hoc tests in a one-way ANOVA are conducted only if: I. There are more than...

13) Post-hoc tests in a one-way ANOVA are conducted only if: I. There are more than two levels on the independent variable II. The F-ratio is significant III. The sample size is large enough IV. There is a significant interaction a) II, III and IV b) I, II and IV c) II and IV d) I and II e) I, II and III .

In your own words, describe why it wouldn’t be best to run multiple independent-sample t-tests when...

In your own words, describe why it wouldn’t be best to run multiple independent-sample t-tests when you have 3 or more groups. Come up with a sample experiment where you would use a between-subjects one-way ANOVA. Come up with a sample experiment where you would use a within-subjects one-way ANOVA. Why do we run post hoc tests? Under what conditions should you run a post hoc test?

1. Why is using a single ANOVA preferable to running a series of independent t tests?...

1. Why is using a single ANOVA preferable to running a series of independent t tests? 2 Determine the null and alternate hypotheses for the following statement: People will eat more when their food is served on red plates than when it is served on blue or beige plates.

Question