Network Study

Basic network properties based on the first ten respondents (shown as the first ten in the tables, identified in red on the plots).

Ideas for analysis

Warning message: - not meaningful for factors

Summary of the complete network

Vertices: 78 
Edges: 770 
Directed: TRUE 
No graph attributes.
Vertex attributes: name, Vertex.
Edge attributes: Knows, Strength, advice, leadership, influence.

“Is this person known to you?”

Summary of the network

Vertices: 78 
Edges: 372 
Directed: TRUE 
No graph attributes.
Vertex attributes: name, Vertex.
Edge attributes: Knows, Strength, advice, leadership, influence.

Graph of the network

Is person known to you

In-degrees

Name InDegree
1 AnnSmallman 8
2 CarolynBishop 8
3 DotGillespie 7
4 DuncanRandall 8
5 FionaReynolds 7
6 JaneCoad 9
7 KathJones 3
8 PankajShah 0
9 SueDavies 5
10 SueEdwards 5
11 AllisonCape 2
12 AmandaDunne 6
13 AngelaThompson 10
14 AngieArnold 1
15 CarolDavies 7
16 CarolFarrell 6
17 ChristopherReed 9
18 ClaireThomas 10
19 DavidLewis 2
20 DavidWiddas 9
21 DeborahGoodrich 2
22 DianeHobday 1
23 EdLandon 0
24 EmmaAspinall 10
25 GregField 5
26 HelenHipkiss 8
27 HelenKelly 2
28 JackieGriffiths 2
29 JaneHoughton 8
30 JanetteVyse 4
31 JasmineHeslop 3
32 JennyCharlton 1
33 JimTindall 10
34 JoJones 5
35 JulieReed 3
36 KarenShaw 4
37 KateNorton 2
38 KathHill 2
39 KatyCoates 4
40 LindaCancelliere 5
41 LisaCuddeford 10
42 LouiseJones 2
43 LouiseLeather 6
44 LouiseTomkinson 1
45 LynnTolley 3
46 LynneDodson 0
47 ManjulaShenoy 6
48 MarieHazell 1
49 MariaHardy 1
50 MarionVersluijs 2
51 MaureenBytheway 5
52 MaybelleWallis 10
53 NarinderKular 7
54 NicolaFitzmaurice 10
55 PatFisher 5
56 PatTurner 7
57 PennyDison 5
58 PeterMorris 4
59 RachaelWiliams 6
60 RachelBloomer 5
61 RanjitKhular 3
62 RhondaLee 3
63 RuthDavis 2
64 SandraBrown 0
65 SarahKirk 7
66 SarahHumphrey 4
67 SarahMitchell 3
68 SatvinderKaur 5
69 SharonSimkin 7
70 StaceyNorwood 4
71 StephanieCourts 8
72 StephanieFriedl 3
73 SuRoxburgh 1
74 SueCurry 1
75 SueHatton 8
76 SueGallagher 2
77 SusanLongman 6
78 TraceyMalkin 6

“Would you go to this person for advice?”

Summary of the network

Vertices: 78 
Edges: 199 
Directed: TRUE 
No graph attributes.
Vertex attributes: name, Vertex.
Edge attributes: Knows, Strength, advice, leadership, influence.

Graph of the network (isolates removed)

Would you go to this person for advice?

In-degrees

Name InDegree
1 AnnSmallman 5
2 CarolynBishop 4
3 DotGillespie 4
4 DuncanRandall 3
5 FionaReynolds 6
6 JaneCoad 5
7 KathJones 2
8 PankajShah 0
9 SueDavies 3
10 SueEdwards 4
11 AllisonCape 0
12 AmandaDunne 2
13 AngelaThompson 8
14 AngieArnold 0
15 CarolDavies 2
16 CarolFarrell 3
17 ChristopherReed 3
18 ClaireThomas 8
19 DavidLewis 1
20 DavidWiddas 8
21 DeborahGoodrich 1
22 DianeHobday 0
23 EdLandon 0
24 EmmaAspinall 8
25 GregField 1
26 HelenHipkiss 3
27 HelenKelly 0
28 JackieGriffiths 0
29 JaneHoughton 5
30 JanetteVyse 2
31 JasmineHeslop 1
32 JennyCharlton 1
33 JimTindall 7
34 JoJones 2
35 JulieReed 1
36 KarenShaw 2
37 KateNorton 2
38 KathHill 0
39 KatyCoates 2
40 LindaCancelliere 2
41 LisaCuddeford 9
42 LouiseJones 0
43 LouiseLeather 1
44 LouiseTomkinson 0
45 LynnTolley 0
46 LynneDodson 0
47 ManjulaShenoy 1
48 MarieHazell 0
49 MariaHardy 0
50 MarionVersluijs 1
51 MaureenBytheway 2
52 MaybelleWallis 9
53 NarinderKular 1
54 NicolaFitzmaurice 9
55 PatFisher 1
56 PatTurner 4
57 PennyDison 2
58 PeterMorris 3
59 RachaelWiliams 3
60 RachelBloomer 3
61 RanjitKhular 1
62 RhondaLee 2
63 RuthDavis 0
64 SandraBrown 0
65 SarahKirk 5
66 SarahHumphrey 0
67 SarahMitchell 1
68 SatvinderKaur 2
69 SharonSimkin 3
70 StaceyNorwood 3
71 StephanieCourts 5
72 StephanieFriedl 1
73 SuRoxburgh 1
74 SueCurry 1
75 SueHatton 5
76 SueGallagher 1
77 SusanLongman 4
78 TraceyMalkin 4

“Does person occupy leadership role?”

Summary of the network

Vertices: 78 
Edges: 196 
Directed: TRUE 
No graph attributes.
Vertex attributes: name, Vertex.
Edge attributes: Knows, Strength, advice, leadership, influence.

Graph of the network

Does the person occupy a leadership role?

In-degrees

Name InDegree
1 AnnSmallman 5
2 CarolynBishop 4
3 DotGillespie 4
4 DuncanRandall 3
5 FionaReynolds 5
6 JaneCoad 9
7 KathJones 1
8 PankajShah 0
9 SueDavies 2
10 SueEdwards 4
11 AllisonCape 0
12 AmandaDunne 2
13 AngelaThompson 10
14 AngieArnold 1
15 CarolDavies 1
16 CarolFarrell 2
17 ChristopherReed 7
18 ClaireThomas 10
19 DavidLewis 0
20 DavidWiddas 9
21 DeborahGoodrich 0
22 DianeHobday 0
23 EdLandon 0
24 EmmaAspinall 8
25 GregField 1
26 HelenHipkiss 6
27 HelenKelly 1
28 JackieGriffiths 0
29 JaneHoughton 5
30 JanetteVyse 1
31 JasmineHeslop 0
32 JennyCharlton 0
33 JimTindall 9
34 JoJones 1
35 JulieReed 0
36 KarenShaw 1
37 KateNorton 1
38 KathHill 0
39 KatyCoates 1
40 LindaCancelliere 3
41 LisaCuddeford 9
42 LouiseJones 0
43 LouiseLeather 2
44 LouiseTomkinson 1
45 LynnTolley 0
46 LynneDodson 0
47 ManjulaShenoy 2
48 MarieHazell 0
49 MariaHardy 0
50 MarionVersluijs 0
51 MaureenBytheway 1
52 MaybelleWallis 10
53 NarinderKular 2
54 NicolaFitzmaurice 10
55 PatFisher 2
56 PatTurner 5
57 PennyDison 1
58 PeterMorris 2
59 RachaelWiliams 2
60 RachelBloomer 1
61 RanjitKhular 0
62 RhondaLee 2
63 RuthDavis 1
64 SandraBrown 0
65 SarahKirk 4
66 SarahHumphrey 0
67 SarahMitchell 0
68 SatvinderKaur 1
69 SharonSimkin 2
70 StaceyNorwood 2
71 StephanieCourts 5
72 StephanieFriedl 1
73 SuRoxburgh 0
74 SueCurry 0
75 SueHatton 6
76 SueGallagher 0
77 SusanLongman 2
78 TraceyMalkin 3

“Do you see the person as influential outside network?”

Summary

Vertices: 78 
Edges: 149 
Directed: TRUE 
No graph attributes.
Vertex attributes: name, Vertex.
Edge attributes: Knows, Strength, advice, leadership, influence.

Graph of the network (isolates removed)

Is the person influential outside network?

In-degree

Name InDegree
1 AnnSmallman 4
2 CarolynBishop 2
3 DotGillespie 2
4 DuncanRandall 3
5 FionaReynolds 5
6 JaneCoad 8
7 KathJones 1
8 PankajShah 0
9 SueDavies 0
10 SueEdwards 3
11 AllisonCape 0
12 AmandaDunne 2
13 AngelaThompson 9
14 AngieArnold 1
15 CarolDavies 0
16 CarolFarrell 1
17 ChristopherReed 2
18 ClaireThomas 8
19 DavidLewis 1
20 DavidWiddas 9
21 DeborahGoodrich 0
22 DianeHobday 0
23 EdLandon 0
24 EmmaAspinall 6
25 GregField 0
26 HelenHipkiss 6
27 HelenKelly 1
28 JackieGriffiths 0
29 JaneHoughton 7
30 JanetteVyse 2
31 JasmineHeslop 0
32 JennyCharlton 0
33 JimTindall 8
34 JoJones 0
35 JulieReed 0
36 KarenShaw 2
37 KateNorton 0
38 KathHill 0
39 KatyCoates 0
40 LindaCancelliere 1
41 LisaCuddeford 9
42 LouiseJones 0
43 LouiseLeather 0
44 LouiseTomkinson 1
45 LynnTolley 0
46 LynneDodson 0
47 ManjulaShenoy 2
48 MarieHazell 0
49 MariaHardy 0
50 MarionVersluijs 0
51 MaureenBytheway 0
52 MaybelleWallis 5
53 NarinderKular 2
54 NicolaFitzmaurice 10
55 PatFisher 0
56 PatTurner 4
57 PennyDison 2
58 PeterMorris 1
59 RachaelWiliams 0
60 RachelBloomer 0
61 RanjitKhular 0
62 RhondaLee 2
63 RuthDavis 0
64 SandraBrown 0
65 SarahKirk 1
66 SarahHumphrey 0
67 SarahMitchell 0
68 SatvinderKaur 0
69 SharonSimkin 2
70 StaceyNorwood 1
71 StephanieCourts 3
72 StephanieFriedl 0
73 SuRoxburgh 1
74 SueCurry 0
75 SueHatton 6
76 SueGallagher 0
77 SusanLongman 0
78 TraceyMalkin 3

Summary of all in-degrees

Name Knows Advice Leadership Influence
1 AnnSmallman 8 5 5 4
2 CarolynBishop 8 4 4 2
3 DotGillespie 7 4 4 2
4 DuncanRandall 8 3 3 3
5 FionaReynolds 7 6 5 5
6 JaneCoad 9 5 9 8
7 KathJones 3 2 1 1
8 PankajShah 0 0 0 0
9 SueDavies 5 3 2 0
10 SueEdwards 5 4 4 3
11 AllisonCape 2 0 0 0
12 AmandaDunne 6 2 2 2
13 AngelaThompson 10 8 10 9
14 AngieArnold 1 0 1 1
15 CarolDavies 7 2 1 0
16 CarolFarrell 6 3 2 1
17 ChristopherReed 9 3 7 2
18 ClaireThomas 10 8 10 8
19 DavidLewis 2 1 0 1
20 DavidWiddas 9 8 9 9
21 DeborahGoodrich 2 1 0 0
22 DianeHobday 1 0 0 0
23 EdLandon 0 0 0 0
24 EmmaAspinall 10 8 8 6
25 GregField 5 1 1 0
26 HelenHipkiss 8 3 6 6
27 HelenKelly 2 0 1 1
28 JackieGriffiths 2 0 0 0
29 JaneHoughton 8 5 5 7
30 JanetteVyse 4 2 1 2
31 JasmineHeslop 3 1 0 0
32 JennyCharlton 1 1 0 0
33 JimTindall 10 7 9 8
34 JoJones 5 2 1 0
35 JulieReed 3 1 0 0
36 KarenShaw 4 2 1 2
37 KateNorton 2 2 1 0
38 KathHill 2 0 0 0
39 KatyCoates 4 2 1 0
40 LindaCancelliere 5 2 3 1
41 LisaCuddeford 10 9 9 9
42 LouiseJones 2 0 0 0
43 LouiseLeather 6 1 2 0
44 LouiseTomkinson 1 0 1 1
45 LynnTolley 3 0 0 0
46 LynneDodson 0 0 0 0
47 ManjulaShenoy 6 1 2 2
48 MarieHazell 1 0 0 0
49 MariaHardy 1 0 0 0
50 MarionVersluijs 2 1 0 0
51 MaureenBytheway 5 2 1 0
52 MaybelleWallis 10 9 10 5
53 NarinderKular 7 1 2 2
54 NicolaFitzmaurice 10 9 10 10
55 PatFisher 5 1 2 0
56 PatTurner 7 4 5 4
57 PennyDison 5 2 1 2
58 PeterMorris 4 3 2 1
59 RachaelWiliams 6 3 2 0
60 RachelBloomer 5 3 1 0
61 RanjitKhular 3 1 0 0
62 RhondaLee 3 2 2 2
63 RuthDavis 2 0 1 0
64 SandraBrown 0 0 0 0
65 SarahKirk 7 5 4 1
66 SarahHumphrey 4 0 0 0
67 SarahMitchell 3 1 0 0
68 SatvinderKaur 5 2 1 0
69 SharonSimkin 7 3 2 2
70 StaceyNorwood 4 3 2 1
71 StephanieCourts 8 5 5 3
72 StephanieFriedl 3 1 1 0
73 SuRoxburgh 1 1 0 1
74 SueCurry 1 1 0 0
75 SueHatton 8 5 6 6
76 SueGallagher 2 1 0 0
77 SusanLongman 6 4 2 0
78 TraceyMalkin 6 4 3 3

Community structure.

Communities are highly connected between them but with few links to other vertices. Calculate walktrap community using the advice nextwork, with isolates removed. This uses a random walk algorithm to identify communities. Pascal Pons, Matthieu Latapy: Computing communities in large networks using random walks, http://arxiv.org/abs/physics/0512106. 

                Name Community
10        SueEdwards         0
43         PatTurner         0
47     RachelBloomer         0
2      CarolynBishop         1
9          SueDavies         1
61      SusanLongman         1
6           JaneCoad         2
12    AngelaThompson         2
16      ClaireThomas         2
20      EmmaAspinall         2
34     LisaCuddeford         2
39    MaybelleWallis         2
41 NicolaFitzmaurice         2
3       DotGillespie         3
18       DavidWiddas         3
23      JaneHoughton         3

Modularity of this community is -0.0254.

Plot of the vertices in these communities only

plot of chunk community-plot

Edge betweenness centrality

plot of chunk edge-betweenness

Plot shows the five edges that provide the most connectivity. These are as follows:

Edge sequence:

[112] JaneCoad        -> AnnSmallman    
[1]   AnnSmallman     -> CarolynBishop  
[33]  CarolynBishop   -> AnnSmallman    
[5]   AnnSmallman     -> DeborahGoodrich
[14]  AnnSmallman     -> ManjulaShenoy

Ann Smallman looks like a particularly important bridge in the advice network.

Network characteristics

Have to restrict to ties between respondents only.

dens <- function(g) {
    n.edge <- ecount(g)
    n.vert <- vcount(g)
    e.max <- n.vert^2 - n.vert
    if (is.directed(g)) {
        n.edge/e.max
    } else {
        n.edge/(e.max/2)
    }
}

Density of knows network: 0.6667
Density of advice network: 0.4
Density of leadership network: 0.4111
Density of influence network: 0.3111

Summary