Analysis of Scientific Data –Semester 1, 2022
Week 11 Tutorial Questions
Question 1
Early developmental experiences, such as incubation conditions, can have important
consequences for post-hatching fitness in birds. A paper reported on a study where wood duck
eggs were collected from nest boxes and experimentally incubated at various fixed temperatures,
each falling within the range of temperatures of naturally incubated wood duck nests. The
response variables recorded included egg mass (g) at the time of hatching. A one-way analysis of
variance of egg mass by temperature in R gave the following results:
Df Sum Sq
Temperature 3 117.1
Residual 23 312.5
a) How many fixed temperatures were used in this design?
b) How many eggs were included in this analysis?
c) The paper reported that the mean egg mass for the 6 eggs at 35 °C was “44.7 ± 1.88 g”
where they indicated that “1.88” was the standard error of the mean (SEM). Based on
this statement, what was the sample standard deviation of the egg mass for those 6
eggs?
d) What is the 𝑅 2 value for this model?
e) What is the 𝐹 statistic used to test for the difference in mean egg mass between the
different temperatures?
f) What is the 𝑝-value for this test? What do you conclude?
Week 11 Tutorial Questions
Question 1
Early developmental experiences, such as incubation conditions, can have important
consequences for post-hatching fitness in birds. A paper reported on a study where wood duck
eggs were collected from nest boxes and experimentally incubated at various fixed temperatures,
each falling within the range of temperatures of naturally incubated wood duck nests. The
response variables recorded included egg mass (g) at the time of hatching. A one-way analysis of
variance of egg mass by temperature in R gave the following results:
Df Sum Sq
Temperature 3 117.1
Residual 23 312.5
a) How many fixed temperatures were used in this design?
b) How many eggs were included in this analysis?
c) The paper reported that the mean egg mass for the 6 eggs at 35 °C was “44.7 ± 1.88 g”
where they indicated that “1.88” was the standard error of the mean (SEM). Based on
this statement, what was the sample standard deviation of the egg mass for those 6
eggs?
d) What is the 𝑅 2 value for this model?
e) What is the 𝐹 statistic used to test for the difference in mean egg mass between the
different temperatures?
f) What is the 𝑝-value for this test? What do you conclude?
