Lab Activity 9 One-Way Analysis of Variance (ANOVA)
This lab activity involves conducting a one-way ANOVA analysis as part of statistical education.
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Lab Activity 9
One-Way Analysis of Variance (ANOVA)
Data Set: Hot Dog
One-way analysis of variance is a method for comparing several population means, when the data are
from independent samples. It a test that examines the relationship between a quantitative response
variable and a categorical explanatory variable, also called factor that has at least three levels or groups.
1.
Determining if ANOVA is Appropriate
In each part below determine if ANOVA can be used to analyze the scenario. IF ANOVA can be used,
write the null and alternative hypotheses.
Hint: Since ANOVA is used only in scenarios with a quantitative response variable and
categorical explanatory variable (or factor) that has at least three levels, you may find it helpful
to first identify the response and explanatory variables and determine if they are categorical or
quantitative.
a. A psychologist wants to determine if there is a relationship between weather (sunny, partly
cloudy, heavy rain, etc.) and mood (happy, carefree, tired, etc.).
i. Can ANOVA be used? Explain.
Since both the explanatory (weather) and response (mood) variables are categorical, ANOVA
cannot be used here.
IF ANOVA can be used, write the null and alternative hypotheses:
ii. Ho:
iii. Ha:
b. An executive of a national construction company is trying to determine how to be “low bid” on
more estimates in order to get more jobs. She compares the cost of lumber in dollars in different
regions of the United States, specifically, the North, South, East, and West to generate more accurate
estimates.
i. Can ANOVA be used? Explain.
Since the explanatory variable (region) is categorical and the response variable (cost of lumbar)
is quantitative, ANOVA can be used here.
IF ANOVA can be used, write the null and alternative hypotheses:
ii. Ho: The mean costs of lumber in different regions of the United States are identical.
iii. Ha: At least two regions differ significantly in the mean costs of lumber.
One-Way Analysis of Variance (ANOVA)
Data Set: Hot Dog
One-way analysis of variance is a method for comparing several population means, when the data are
from independent samples. It a test that examines the relationship between a quantitative response
variable and a categorical explanatory variable, also called factor that has at least three levels or groups.
1.
Determining if ANOVA is Appropriate
In each part below determine if ANOVA can be used to analyze the scenario. IF ANOVA can be used,
write the null and alternative hypotheses.
Hint: Since ANOVA is used only in scenarios with a quantitative response variable and
categorical explanatory variable (or factor) that has at least three levels, you may find it helpful
to first identify the response and explanatory variables and determine if they are categorical or
quantitative.
a. A psychologist wants to determine if there is a relationship between weather (sunny, partly
cloudy, heavy rain, etc.) and mood (happy, carefree, tired, etc.).
i. Can ANOVA be used? Explain.
Since both the explanatory (weather) and response (mood) variables are categorical, ANOVA
cannot be used here.
IF ANOVA can be used, write the null and alternative hypotheses:
ii. Ho:
iii. Ha:
b. An executive of a national construction company is trying to determine how to be “low bid” on
more estimates in order to get more jobs. She compares the cost of lumber in dollars in different
regions of the United States, specifically, the North, South, East, and West to generate more accurate
estimates.
i. Can ANOVA be used? Explain.
Since the explanatory variable (region) is categorical and the response variable (cost of lumbar)
is quantitative, ANOVA can be used here.
IF ANOVA can be used, write the null and alternative hypotheses:
ii. Ho: The mean costs of lumber in different regions of the United States are identical.
iii. Ha: At least two regions differ significantly in the mean costs of lumber.
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Statistics