Grafiken und Statistik in R

4 Statistik
similarities
distances
Tabelle 3: Ähnlichkeiten (similarities)/ Distanzen aus Legendre und Legendre (1998)
Referenz/Name Gleichung -Funktion
S1
simple matching coefficient Sokal
und Michener (1958)
S2
coefficient of Rogers und Tanimoto
(1960)
a+d
a+2b+2c+d
S3...6 Sokal und Sneath (1963) S3 = 2a+2d
2a+b+c+2d , S4
a+d
b+c
=
, S5 =
�
a+d
p
1
4
� a
a+b
S6 Sokal und Sneath (1963) a
S7 Jaccard’s coefficient a
a+b+c
S8 Sørensen’s coefficient 2a
2a+b+c
3a
S9
3a+b+c
a
S10 Sokal und Sneath (1963) a+2a+2c
S11 Russel und Rao (1940) a
p
S12 Kulczynski (1928) a
b+c
S13 Sokal und Sneath (1963) von
Kulczynski (1928) abgeleitet
S14 Ochiai (1957) a
+ a
a+c
d + b+d
d
+ d
c+d
√ √
(a+b)(a+c) (b+d)(c+d)
1
2
�
a a
a+b + a+c
√ (a+b)(a+c)
� 1 p
S15 Gower (1971a) p j=1 s12j
S16 Estabrook und Roger (1966)
2W
S17 Steinhaus coefficient by Motyka A+B
(1947)
� �
1 W W
S18 Kulczynski (1928) 2 A + B
S19 Gower (1971a)
S20 Legendre
(1977)
und Chodorowski
χ2-similarity, komplementär zur
S21
S22
S23
S26
χ 2 -Distanzmatrix D15
probabilistic χ2 p-similarity
Goodall’s similarity D. W. Goodall
(1964)
Faith (1983)
1 − χ 2
2( P d)
n(n−1)
( a+d
2 )
p
�
4.4 Clusteranalyse
dist.binary(...,
method=2) ade4
dist.binary(...,
method=4) ade4
dist.binary(...,
method=8) ade4
dist.binary(...,
method=1) ade4
dist.binary(...,
method=5) ade4
dist.binary(...,
method=3) ade4
dist.binary(...,
method=10) ade4
kulczynski()
prabclus
dist.binary(...,
method=7) ade4
D1 Euklid - Distanz Distanz dist(x, method =
"euclidean") stats
D2 Average Distanz
...Fortsetzung umseitig
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