Chapter 12, Problem 3P

BuyFind*arrow_forward*

8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

Why should you use ANOVA instead of several *t* tests to evaluate mean differences when an experiment consists of three or more treatment conditions?

To determine

Reasons to use ANOVA instead of several *t* tests.

Answer

ANOVA uses variances for sample means which leads to a single value for more than two treatments as well while there are large numbers of differences of means for *t* tests if there are more than two treatments. Also, ANOVA reduces the experimental type-I error.

Explanation

**Given info:**

An experiment consists of three or more treatment conditions.

**Justification:**

When an experiment consists of more than three treatments, then *t* tests to evaluate mean differences cannot be used because *t* tests use difference of means in the statistic to make conclusions whether population means differ or not. If more than two treatments are available, then numbers of differences of means of treatments are more than one. So, more than one difference of sample mean cannot be used in the *t* statistic formula.

On the other hand, ANOVA uses variances for sample means which leads to a single value for more than two treatments.

Also, there can be large experimental type-I error if *t* tests are used to compare differences for means because numbers of tests would be large.

**Conclusion:**

ANOVA uses variances for sample means which leads to a single value for more than two treatments as well while there are large numbers of differences of means for *t* tests if there are more than two treatments. Also, ANOVA reduces the experimental type-I error.

Sect-12.2 P-1LCSect-12.2 P-2LCSect-12.2 P-3LCSect-12.2 P-4LCSect-12.3 P-1LCSect-12.3 P-2LCSect-12.3 P-3LCSect-12.4 P-1LCSect-12.4 P-2LCSect-12.5 P-1LC

Sect-12.5 P-2LCSect-12.6 P-1LCSect-12.6 P-2LCSect-12.7 P-1LCSect-12.7 P-2LCCh-12 P-1PCh-12 P-2PCh-12 P-3PCh-12 P-4PCh-12 P-5PCh-12 P-6PCh-12 P-7PCh-12 P-8PCh-12 P-9PCh-12 P-10PCh-12 P-11PCh-12 P-12PCh-12 P-13PCh-12 P-14PCh-12 P-15PCh-12 P-16PCh-12 P-17PCh-12 P-18PCh-12 P-19PCh-12 P-20PCh-12 P-21PCh-12 P-22PCh-12 P-23PCh-12 P-24P

Essentials Of Statistics

Calculus: Early Transcendental Functions

Calculus: Early Transcendentals

Finite Mathematics and Applied Calculus (MindTap Course List)

Single Variable Calculus: Early Transcendentals, Volume I

Applied Calculus

Calculus: An Applied Approach (MindTap Course List)

Multivariable Calculus

Precalculus: Mathematics for Calculus (Standalone Book)

Statistics for The Behavioral Sciences (MindTap Course List)

Calculus (MindTap Course List)

Understanding Basic Statistics

Probability and Statistics for Engineering and the Sciences

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Finite Mathematics

Intermediate Algebra

Single Variable Calculus

Mathematical Applications for the Management, Life, and Social Sciences

Elementary Geometry For College Students, 7e

Contemporary Mathematics for Business & Consumers

Elementary Technical Mathematics

Mathematical Excursions (MindTap Course List)

Calculus: Early Transcendental Functions (MindTap Course List)

Calculus of a Single Variable

Trigonometry (MindTap Course List)

Single Variable Calculus: Early Transcendentals

Elements Of Modern Algebra

Introduction To Statistics And Data Analysis

Finite Mathematics for the Managerial, Life, and Social Sciences

Elementary Geometry for College Students

Study Guide for Stewart's Multivariable Calculus, 8th

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Research Methods for the Behavioral Sciences (MindTap Course List)

Statistics for Business & Economics, Revised (MindTap Course List)

Research Methods for the Behavioral Sciences (MindTap Course List)

College Algebra (MindTap Course List)

Calculus (MindTap Course List)

Multivariable Calculus

Mathematics For Machine Technology

Find all the answers to your study problems with bartleby.

Textbook solutions plus Q&A. Get As ASAP *arrow_forward*