14. The article Feeding Ecology of the Red-Eyed Vireo and Associated Foliage-Gleaning Birds (Ecological Monographs, 1971: 129152)
Question:
14. The article Feeding Ecology of the Red-Eyed Vireo and Associated Foliage-Gleaning Birds (Ecological Monographs, 1971: 129—152) presents the accompanying data on the variable X the number of hops before the rst ight and preceded by a ight.
The author then proposed and t a geometric probability distribution [p(x) P(X x) px1 # q for x 1, 2, . . . , where q 1 p] to the data. The total sample size was n 130.
x 1 2 3 4 5 6 7 8 9 10 11 12 Number of Times x 48 31 20 9 6 5 4 2 1 1 2 1 Observed
a. The likelihood is
. Show that the mle of p is given by
, and compute for the given data.
b. Estimate the expected cell counts using of part
(a) [expected cell counts for x1, 2, . . . ], and test the t of the model using a x2 test by combining the counts for x7, 8, . . . , and 12 into one cell (x 7).
Step by Step Answer:
Modern Mathematical Statistics With Applications
ISBN: 9780534404734
1st Edition
Authors: Jay L Devore