BuyFindarrow_forward

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Solutions

Chapter
Section
BuyFindarrow_forward

Essentials of Statistics for the B...

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.

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

Proof Prove that limxcf(x)=L is equivalent to limxc[f(x)L]=0

Calculus: Early Transcendental Functions

Find y and y. y = ln(l + ln x)

Calculus: Early Transcendentals

Find the critical numbers of the function. h(p)=p1p2+4

Single Variable Calculus: Early Transcendentals, Volume I

Polynomials Find the sum, difference, or product. 24. 5(3t 4) (t2 + 2) 2t(t 3)

Precalculus: Mathematics for Calculus (Standalone Book)

Suppose a line L has equation Ax + By + C = 0. a. What is the slope of L if B 0? b. What is the slope of L if ...

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

In Problems 39-44, simplify each expression. Assume that all variables are positive. 16a2b38a3b5

Mathematical Applications for the Management, Life, and Social Sciences

Finding a Derivative In Exercises 65-74, find the derivative of the function. f(x)=coth1(x2)

Calculus: Early Transcendental Functions (MindTap Course List)

For a = 2i + 3j − 4k and b = −i + 2j − k, a · b = 0 8 10 12

Study Guide for Stewart's Multivariable Calculus, 8th

True or False: If f′(x) = g′(x), then f(x) = g(x).

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

Find all the answers to your study problems with bartleby.
Textbook solutions plus Q&A. Get As ASAP arrow_forward