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Permutation structure in 0-1 data
Published on Oct 03, 20113253 Views
Multidimensional 0-1 data occurs in many domains. Typically one assumes that the order of rows and columns has no importance. However, in some applications, e.g., in ecology, there is structure in the
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Chapter list
Permutation structure in 0-1 data00:00
Contents00:08
Two basic messages00:44
Example02:42
Ordering of the rows03:15
Ordering of the columns04:07
Permutation structure04:50
Type of data05:26
Properties of the data - 106:42
Properties of the data - 208:17
Permutation structure08:58
Consecutive ones - 109:18
Nestedness09:58
Bandedness - 110:21
Questions related to each type of structure10:54
Problems: is the concept sensible11:54
Problems: recognition12:03
Problems: distance definition12:15
Problems: distance computation13:18
Problems: significance testing13:32
Problems: largest substructure with the property13:51
Consecutive ones - 214:28
Problems16:23
Consecutive ones ordering18:06
Consecutive ones - 318:12
Picture - 118:36
Picture - 218:48
Picture - 319:08
Nestedness - 119:16
Nestedness - 221:42
Nestedness - 322:24
Distance measures23:13
Distance measure: approximation23:37
Measures, cont.23:48
So far so good24:17
Example: a (slice of a) paleontological dataset25:11
Actually - 125:38
Null models and randomization26:23
Null models26:38
Is the real data like random data?27:10
Or is it somewhat different from random data?27:18
Or is it clearly different?27:23
Randomization and empirical p-values27:26
Two types of null models27:53
Property models: properties f(D)28:22
Property models28:44
Explicit null models - 129:03
Explicit null models - 229:20
Example: seriation in paleontological data - 129:35
Example: seriation in paleontological data - 229:49
Example: a (slice of a) paleontological dataset30:48
Actually - 230:53
Null models for nestedness - 131:14
Null models for nestedness - 231:35
What is the appropriate null model?31:54
Lessons learned32:22
Empty page - 133:57
Segmented nestedness34:11
Average number of nested blocks 34:20
Picture - 434:21
Empty page - 234:47
Bandedness - 234:47
Motivation35:48
Picture - 536:14
Picture - 136:33
Picture - 236:34
Recognition of bandedness36:55
Distance measures for bandedness37:57
Is this banded?38:30
Is this banded - not really40:22
Empty page - 340:38
Open questions - 140:44
Open questions - 243:31
Conclusions44:13