Math 143 – Spring 2011
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Problem Sets Due After Test 3
Only turn in problems that are not bracketed. Bracketed problems are additional problems you can look
at. Round brackets indicate problems that may help you with problems that are assigned; square brackets
are additional problems on material that you should know, but you are not required to write up solutions;
curly brackets are truly optional and may contain extra nuggets that you will not be required to know but
may be interested in.
Additional assignments and deadlines will be filled in over time.
notation
unbracketed
meaning
assigned problem – turn these in for grading
()
helper/warm-up problem
[]
additional problems (you are responsible for content, but don’t turn them in)
{}
covers optional material
PS
22
Due
Mon 5/9
Chapter
17
23
Wed 5/11
**
Problems
1 2 zoo mortality 4 fat 5 running [9a–c] bit force 13 residuals 15 earthworms
16–17 metabolic rate 19 sunlight 20 penguins [21] beetle horns 25 tooth age
Report on the study you designed. See separate instructions.
Created May 5, 2011 — See web site for most current version.
Math 143 – Spring 2011
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Some R Output
Problem 15.3
> TukeyHSD(aov(generations ~ treatment, PlantPersistence))
Tukey multiple comparisons of means
95% family-wise confidence level
$treatment
diff
lwr
upr
p adj
Isolated-Continuous -3.50 -8.3197041 1.319704 0.1909126
Long-Continuous
-2.00 -6.8197041 2.819704 0.6196734
Medium-Continuous
1.75 -3.0697041 6.569704 0.7087886
Long-Isolated
1.50 -3.3197041 6.319704 0.7928134
Medium-Isolated
5.25 0.4302959 10.069704 0.0315425
Medium-Long
3.75 -1.0697041 8.569704 0.1501485
Problem 15.5
# this version is WRONG (you can tell by degrees of freedom)
> anova(lm( shoots ~ genotypes, Eelgrass))
Analysis of Variance Table
Response: shoots
Df Sum Sq Mean Sq F value
Pr(>F)
genotypes 1 2940.1 2940.14 10.941 0.002449 **
Residuals 30 8061.7 268.72
############################################################
# We have to turn numbers into factors first:
> anova(lm( shoots ~ factor(genotypes), Eelgrass))
Analysis of Variance Table
Response: shoots
Df Sum Sq Mean Sq F value Pr(>F)
factor(genotypes) 2 2952.8 1476.40 5.3193 0.01077 *
Residuals
29 8049.1 277.55
Created May 5, 2011 — See web site for most current version.