Math 225
Introduction to Biostatistics
Cuckoo Birds
Cuckoo birds
have a behavior in which they lay their eggs
in other birds nests.
The other birds then raise and care for the newly hatched cuckoos.
Cuckoos return year after year to the same territory
and lay their eggs in the nests of a particular host species.
Further, cuckoos appear to mate only within their territory.
Therefore, geographical sub-species are developed,
each with a dominant foster-parent species.
A general question is,
are the eggs of the different sub-species distinct
so that they are adapted to a particular foster-parent species?
Specifically, we can ask,
are the mean lengths of the cuckoo eggs the same in the different sub-species?
Cuckoo Egg Length Data.
Summary Statistics
Summary Data of Length of Cuckoo Bird Eggs
by Foster-Parent Species
Species | n | Mean | Standard Deviation |
Hedge Sparrow | 14 | 23.12 | 1.07 |
Meadow Pipet | 45 | 22.30 | 0.92 |
Pied Wagtail | 15 | 22.90 | 1.07 |
Robin | 16 | 22.58 | 0.68 |
Tree Pipet | 15 | 23.09 | 0.90 |
Wren | 15 | 21.13 | 0.74 |
Anova Table
Df Sum of Sq Mean Sq F Value Pr(F)
birdSpecies 5 42.93965 8.58793 10.3877 3.152104e-08
Residuals 114 94.24835 0.82674
References
Data and Story Library (http://stat.cmu.edu/DASL/).
USGS Patuxent Wildlife Research Center
(http://www.mbr-pwrc.usgs.gov/).
Last modified: March 20, 2001
Bret Larget,
larget@mathcs.duq.edu