Guide to Using Minitab 14 For Basic

Statistical Applications

To Accompany

Business Statistics: A Decision Making

Approach, 8th Ed.

Chapter 12:

Analysis of Variance

By

Groebner, Shannon, Fry, & SmithPrentice-Hall Publishing Company

Copyright, 2011

Chapter 12 Minitab Examples

Analysis of Variance

Hydronics Corporation

Analysis of Variance

Digitron Inc.

Randomized Block Analysis of Variance

Citizens State Bank

Two Factor Analysis of Variance with replications –Fly High Airlines

Analysis of Variance -Hydronics Corporation

Issue: The company wants to compare two

weight loss supplements with a placebo.

Objective: Use Minitab to help test a hypothesis

about the mean weight loss associated with

three groups.

Data file is Hydronics.MTW

Open File Hydronics.MTW

Analysis of Variance – Hydronics Corp.

First click on

Stat, then

ANOVA and

finally on

One-Way

Analysis of Variance – Hydronics Corp.

Identify the columns

containing the variables to

be analyzed (Loss) Then

identify the column

containing the Factor

(Program) Click on OK

Analysis of Variance – Hydronics Corp.

The Minitab output shows we should reject the

hypothesis of equal means. The p-value is less than alpha

and F is greater than F critical. Minitab also determines

confidence intervals for all variables

Analysis of Variance – Hydronics Corp.

One-Way ANOVA

Digitron

Issue: Digitron is interested in testing whether there is

a difference in the mean stopping distance for four

brake types

Objective: Use Minitab to test the hypothesis there is

no difference in average stopping distance.

Data file is Digitron.MTW

Open File Digitron.MTW

Analysis of Variance – Digitron.

First click on

Stat, then

ANOVA and

finally on

One-Way

Analysis of Variance – Digitron

Identify the columns

containing the variables to

be analyzed (Distance)

Then identify the column

containing the Factor

(Brake) Click on OK

Analysis of Variance – Digitron

The Minitab output shows we should reject the

hypothesis of equal means. The p-value is less than alpha

and F is greater than F critical. Minitab also determines

confidence intervals for all variables’ means

Analysis of Variance – Digitron

Randomized Block ANOVA

Citizens State Bank

Issue: Bank managers wish to test the hypothesis that

there is no difference in the average house appraisal

by three different appraising companies.

Objective: Use Minitab to test the hypothesis there is

no difference in average appraisal price.

Data file is Citizens.MTW

Open File Citizens.MTW

File contains appraisal

values for 5 houses by

each appraiser.

Randomized Block ANOVA – Citizens State Bank

First click on

Stat, then

ANOVA and

finally on

Two-way.

Randomized Block ANOVA – Citizens State Bank

Identify the columns containing the

response variable to be analyzed

(Appraisal), the column containing the

house identifier (Company) and the

company identifier (Property).

Randomized Block ANOVA – Citizens State Bank

The F and P-values

indicate both the

blocking and main

effects are significant.

Randomized Block ANOVA – Citizens State Bank

Issue: The airline is interested in determining the

effect of redemption offers on the number of miles

that would be redeemed.

Objective: Use Minitab to test the hypothesis there is

no difference in average redemption rate.

Data file is Fly-High.MTW

Two Factor ANOVA With

Replications - Fly High

Airlines

Open file Fly-

High.MTW

Two Factor ANOVA With Replications – Fly High Airlines

First click on

Stat, then

ANOVA and

finally on

Two-way.

Two Factor ANOVA With Replications – Fly High Airlines

Identify the columns containing

the response variable to be

analyzed (Value), the Row Factor

(Redemption Option) and the

Column Factor (Age Group)

Two Factor ANOVA With Replications – Fly High Airlines

This is last part of the Minitab

output. All the F values are

small and all P-values are

large. No interaction – and fail

to reject hypothesis that factor

means are equal.

Two Factor ANOVA With Replications – Fly High Airlines