12. You have sequenced three different genes for the same set of taxa. Parsimony searches for each gene separately yield most parsimonious trees of length 72, 322, and 251 (sum= 645). You do a partition homogeneity test with 10 replicates, gen- erating 10 random assignments of characters to the three partitions (of the same size as the original genes). The length of the three partitions for the randomized data partitions is shown in the table. Replicate number 1 2 3 4 5 6 7 8 9 10 Length of partition A 78 80 71 68 73 69 77 72 79 66 Length of partition B 301 333 329 312 352 307 329 341 310 318 Length of partition C 258 235 254 263 247 271 245 229 244 258 Sum of lengths 637 648 654 643 672 647 651 642 633 642 a. Should anything be read into the fact that partition A is always associated with a shorter tree than the other partitions? b. Does this small sample of random partitions tend to support or reject the hypothesis that the three genes have different evolutionary histories?

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12. You have sequenced three different genes for the same set of taxa. Parsimony
searches for each gene separately yield most parsimonious trees of length 72, 322,
and 251 (sum = 645). You do a partition homogeneity test with 10 replicates, gen-
erating 10 random assignments of characters to the three partitions (of the same
size as the original genes). The length of the three partitions for the randomized
data partitions is shown in the table.
Replicate
number
1
2
3
4
5
6
7
8
9
10
Length of
partition A
78
80
71
68
73
69
77
72
79
66
Length of
partition B
301
333
329
312
352
307
329
341
310
318
Length of
partition C
258
235
254
263
247
271
245
229
244
258
Sum of
lengths
637
648
654
643
672
647
651
642
633
642
a. Should anything be read into the fact that partition A is always associated with a
shorter tree than the other partitions?
b. Does this small sample of random partitions tend to support or reject the
hypothesis that the three genes have different evolutionary histories?
Transcribed Image Text:12. You have sequenced three different genes for the same set of taxa. Parsimony searches for each gene separately yield most parsimonious trees of length 72, 322, and 251 (sum = 645). You do a partition homogeneity test with 10 replicates, gen- erating 10 random assignments of characters to the three partitions (of the same size as the original genes). The length of the three partitions for the randomized data partitions is shown in the table. Replicate number 1 2 3 4 5 6 7 8 9 10 Length of partition A 78 80 71 68 73 69 77 72 79 66 Length of partition B 301 333 329 312 352 307 329 341 310 318 Length of partition C 258 235 254 263 247 271 245 229 244 258 Sum of lengths 637 648 654 643 672 647 651 642 633 642 a. Should anything be read into the fact that partition A is always associated with a shorter tree than the other partitions? b. Does this small sample of random partitions tend to support or reject the hypothesis that the three genes have different evolutionary histories?
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