Suppose researchers carry out a one-way ANOVA involving 4 groups. After finding statistically significant evidence of a difference in the group means, they decide to use the Bonferroni correction to come up with simultaneous confidence intervals for the pairwise differences, keeping the family-wise confidence level at least 85%. Help the researchers out here. Using the Bonferroni approach, what should the confidence level be for the individual intervals?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
icon
Related questions
Question

Suppose researchers carry out a one-way ANOVA involving 4 groups.  After finding statistically significant evidence of a difference in the group means, they decide to use the Bonferroni correction to come up with simultaneous confidence intervals for the pairwise differences, keeping the family-wise confidence level at least 85%. 

Help the researchers out here.  Using the Bonferroni approach, what should the confidence level be for the individual intervals? 

Important: Enter your answer as a percentage confidence level, but without the percent sign.  For example, if your answer is 98.627%, enter 98.627.

(Give your response to at least 3 decimal places.  Give only your numeric response, and not any extra characters or symbols.)

Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax