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Cluster Analysis
What is cluster analysis?
Why use cluster analysis?
Nomenclature

Strengths and weaknesses
1
What cluster analysis does
• Identifies subgroups in a population based on
some set of characteristics

5
Some ~ Synonyms
•
•
•
•
•
•

Cluster analysis
Unsupervised learning
Unsupervised classification
Automatic classification
Numerical taxonomy
Typological analysis

6
Types of cluster analysis
• Connectivity models: Hierarchical clustering
• Centroid models: K-means algorithm
• Distribution models: Latent Class Models
• Density models
• Subspace models

• Graph-based models
7
Heirarchical

8
9
K Means

10
Finite mixture model

11
Density

12
Model based cluster analysis
•
•
•
•
•

Distributional
Latent class
Latent profile
Finite mixture model
Gaussian mixture model

13
Hard vs. Fuzzy Clustering

14
Strengths
• Empirical (Data driven)
• Handles complexity better than linear model
• Better suited for some theoretical tasks

15
Limitations
•
•
•
•
•
•

Subjective
Largely data-driven (empirical)
Computationally intensive
Variable selection
Model selection (how many clusters?)
Limited options for validation

16
RESULTS

17
18
/ss

SIMPLE STUNTING MODELS
These models only include binary
measures of stunting at each of 4
time points.

19
The prevalence of stunting at each age.

20
21
These make the most sense. They also suggest that stunting at 24 and 249 will tell most of the
22
story.
These make sense, with group 3 as a “leftovers” group.

23
Nonsensical group

24
Nonsensical groups and/or trivial differences.

25
Nonsensical groups and/or trivial differences.

26
Nonsensical groups and/or trivial differences.

27
Nonsensical groups and/or trivial differences.

28
Dramatic improvement in model fit from the 2 to 3-class model. Minima for all three fit
29
measures found in the 4-class model.
Dramatic improvement in model fit from the 2 to 3-class model. Best fit for the 4-class model.
30
Best in the 2-class solution. Marginal differences between the 3 to 6 class solutions.

31
Model >5 have classes with no modal assignments. 2 and 3 look good; 4 slightly less so.
32
33
34
/bs

SIMPLE BODYSIZE MODELS
These models only include IOTF
measures of bodysize at each of 4
time points.

35
36
37
38
39
40
41
42
43
44
Dramatic improvement in model fit from the 2 to 3-class model. Minima for all three fit
45
measures found in the 6-class model.
46
Not great overall. Best for 5 an 6.

47
48
49
50
51

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Cluster1 291013