Imagine we conduct a one-way independent ANOVA with four levels on our independent variable and obtain a significant result. Given that we had equal sample sizes, we did not make any predictions about which groups would differ before the experiment and we want guaranteed control over the Type I error rate, which would be the best test to investigate which groups differ?

A. Hochberg's GT2
B. Helmert
C. Bonferroni
D. Orthogonal contrasts

(C) Bonferroni

Explanation:

A Bonferroni test is a type of multiple comparison test used in statistical analysis. It is used when several dependent or independent statistical tests are being performed simultaneously.Bonferroni designed a test or an adjustment to prevent data from incorrectly appearing to be statistically significant.

It is used to counteract the problem of multiple Comparisons.

The Bonferroni correction is appropriate when a single false positive in a set of tests would be a problem. It is mainly useful when there are a fairly small number of multiple comparisons and you're looking for one or two that might be significant.

4sqrt5

step-by-step explanation:

the base has dimensions of 8 x 4, so the diagonal is 64 + 16 square rooted or 4sqrt5.

show us the picture

step-by-step explanation:

show the !