Math 143 – Spring 2011
1/2
Problem Sets Due Between Test 2 and 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
meaning
unbracketed
PS
16
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
Due
Mon 4/11
Chapter
12
Problems
Notes 12
1–4
16
fly diet
22
dolphins
17
Thr 4/14
13
1 qq plots 2 density 3
24 zebra finches
18
Mon 4/18
13
16
14
1 good design 2 balance 3 plots 5 salmon 7 pneumonia [8] marijuana 13 homeopathy
14 6 strategies 15 consequences [16] UV-B 18 lasers 19 advantage 21ab reaction
carotenoids
[17]
log transform
sports and sex
14
28
mosquitoes
19
climbing planst
22
sex ratios
cichlid
time
19
20
Thr 4/21
Mon 4/25
14
6 9
15
1
15
2 ANOVA table 3
23 transformation
bee sting
21c
sample size
22
design
seed dispersal
Tukey
5
eelgrass
11ab
body condition
21a
Notes: See output on next page.
21
Thu 4/28
15
22
16
1
pines
estimate r
3ab
plot
12ab
telomeres
13ab
language
Created April 20, 2011 — See web site for most current version.
ANOVA table
Math 143 – Spring 2011
2/2
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 April 20, 2011 — See web site for most current version.