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MA 214: Applied Statistics
Instructor : Remus Oşan
Lecture 10 – July 14, 2010
Chapter 10: Analysis of Variance:
Comparing More
Than Two Means
10.1 Elements of a Designed Experiment
10.2 The Completely Randomized Design
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Chapter 10: Analysis of Variance:
Comparing More
Than Two Means
s
10.1 Elements of a Designed Experiment
s
10.2 The Completely Randomized Design
s
10.3 Multiple Comparisons of Means
s
10.4 The Randomized Block Design
s
10.5 Factorial Experiments
s
STATISTICS IN ACTION
On the Trail of the
Cockroach: Do Roaches Travel at Random?
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Chapter 10: Analysis of Variance:
Comparing More
Than Two Means
s
WHERE WE'VE BEEN
s
Presented methods for estimating and testing
hypotheses about a single population mean
s
Presented methods for comparing two population
means
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Chapter 10:
WHERE WE'RE GOING
s
Discuss the critical elements in the
design
of a
sampling experiment
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Learn how to set up three of the more popular
experimental designs for comparing more than two
population means:
completely randomized,
randomized block, and factorial designs
s
Show how to analyze data collected from a designed
experiment using a technique called an
analysis of
variance
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Chapter 10: Analysis of Variance:
Comparing More
Than Two Means
s
STATISTICS IN ACTION
On the Trail of the
Cockroach: Do Roaches Travel at Random?
s
Insects such as ants, bees, caterpillars, and
termites use chemical or "odor" trails for
navigation.
s
Until recently, researchers believed that the
navigational behavior of cockroaches scavenging
for food was random
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Chapter 10: Analysis of Variance:
Comparing More
Than Two Means
s
Experiments:
s
1.
Use methanol extract from roach fecescalled a
pheromone
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2. Chemical and control trail with pheromones
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3. Video camera, monitor trajectories
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Adult males, adult females, gravid (pregnant)
females, and nymphs (immatures)
s
20 roaches of each trail to treatment, 10 to control
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Chapter 10: Analysis of Variance:
Comparing More
Than Two Means
s
X and Y movement pattern of each cockroach was
recorded at each 0.1 s by the Dynamic Animal
Movement Analyzer (DAMA) program.
s
Measure the perpendicular distance of each
xy
coordinate
and average all the distances, or
deviations, for each cockroach.
s
Data file named
ROACH.
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Chapter 10: Analysis of Variance:
Comparing More
Than Two Means
s
Statistics in Action Revisited
s
A OneWay Analysis of the Cockroach Data
(p.498)
s
Ranking the Means of the Cockroach Groups
(p.508)
s
A TwoWay Analysis of the Cockroach Data
(p.537)
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Chapter 10.1: Analysis of Variance
Elements of a Designed Experiment
s
Statistics in Action Revisited
s
A OneWay Analysis of the Cockroach Data
(p.498)
s
Ranking the Means of the Cockroach Groups
(p.508)
s
A TwoWay Analysis of the Cockroach Data
(p.537)
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Chapter 10.1: Analysis of Variance
Elements of a Designed Experiment
s
Previously we mainly looked at
observational
experiments.
(little or no control over the variables)
s
In contrast for the
designed experiments
the
researcher attempts to control the levels of one or
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 Spring '11
 Montilla
 Statistics, Variance

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