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Table 2 Average of the Silhouette of a k-means clustering when k = 3 and k = 4

From: Evaluating performance of health care facilities at meeting HIV-indicator reporting requirements in Kenya: an application of K-means clustering algorithm

Average silhouette measures

HTC

PMTCT

CRT

Year

K = 3

K = 4

Year

K = 3

K = 4

Year

K = 3

K = 4

 2011

0.800

0.775

2011

0.674

0.706

2011

0.368

0.582

 2012

0.526

0.563

2012

0.585

0.588

2012

0.556

0.599

 2013

0.659

0.648

2013

0.654

0.632

2013

0.637

0.618

 2014

0.669

0.669

2014

0.676

0.666

2014

0.692

0.663

 2015

0.737

0.709

2015

0.649

0.711

2015

0.710

0.705

 2016

0.749

0.754

2016

0.791

0.774

2016

0.708

0.710

 2017

0.685

0.673

2017

0.699

0.677

2017

0.696

0.700

 2018

0.593

0.714

2018

0.689

0.707

2018

0.654

0.701

VMMC

PEP

BS

Year

K = 3

K = 4

Year

K = 3

K = 4

Year

K = 3

K = 4

2011

a

a

2011

0.704

0.679

2011

a

a

2012

1.00

b

2012

0.593

0.605

2012

0.734

0.730

2013

0.64

0.669

2013

0.639

0.629

2013

0.732

0.687

2014

0.634

0.661

2014

0.675

0.667

2014

0.712

0.650

2015

0.733

0.681

2015

0.682

0.673

2015

0.617

0.641

2016

0.708

0.699

2016

0.696

0.665

2016

0.719

0.680

2017

0.765

0.733

2017

0.621

0.611

2017

0.577

0.637

2018

0.657

0.636

2018

0.650

0.673

2018

0.610

0.607

  1. aThere are not enough valid cases to conduct the specified cluster analysis
  2. bIn the data, there is insufficient variation to honor the four clusters specified. The number of clusters is reduced to 3