Distantie en similariteit: verschil tussen versies

|'''City Block Distance''',<br>Chessboard Distance

|<math>{CBD}_{ij} = \sum_{k=1}^{m} {\mid y_{ik}- y_{jk} \mid}</math>

|[0, ∞)

|-style="background-color:#DDFFDD;"

|{{Sorteer|Euclidische afstand|[[Gewone metriek|'''Euclidische afstand''']]}}

|<math>{ED}_{ij} = (\sum_{k=1}^{m} {{(y_{ik}- y_{jk})}^2)}^{\frac {1}{2}}</math>

|[0, ∞)

|-style="background-color:#DDFFDD;"

|'''Mean Character Distance'''

|<math>{MCD}_{ij} = \frac {1}{m} \cdot \sum_{k=1}^{m} {\mid y_{ik}- y_{jk} \mid}</math>

|[0, ∞)

|-style="background-color:#DDFFDD;"

|'''Gemiddelde euclidische afstand''',<br>euclidische vorm van '''MCD'''

|<math>{GE}_{ij} = (\frac {1}{m} \cdot \sum_{k=1}^{m} {{(y_{ik}- y_{jk})}^2)}^{\frac {1}{2}}</math>

|[0, ∞)

|-style="background-color:#DDFFFF;"

<center><u>''(ALGEMENE FORMULE)''</u></center>

|<math>DM_{ij} = \left( \sum_{k=1}^{m} {\frac {{\mid y_{ik}- y_{jk} \mid}^r}{(y_{ik}+ y_{jk})^r}}\right)^{\frac {1}{r}}</math>

|[0, 1]<!---->

|-style="background-color:#DDFFFF;"

|'''Canberra Metric'''

|<math>CM_{ij} = \sum_{k=1}^{m} {\frac {\mid y_{ik}- y_{jk} \mid} {(y_{ik}+ y_{jk})}}</math>

|[0, ∞)

|-style="background-color:#DDFFFF;"

|'''Hodson's Metric''',<br>euclidische vorm van '''CM'''

|<math>HM_{ij} = \left( \sum_{k=1}^{m} {\frac {{(y_{ik}- y_{jk})}^2}{(y_{ik}+ y_{jk})^2}}\right)^{\frac {1}{2}}</math>

|[0, ∞)

|-style="background-color:#DDFFFF;"

|'''Coefficient of Divergence'''

|<math>CD_{ij} = \left( \frac {1}{m} \cdot \sum_{k=1}^{m} {\frac {{( y_{ik}- y_{jk} )}^2}{(y_{ik}+ y_{jk})^2}}\right)^{\frac {1}{2}}</math>

|[0, 1]

|-

|{{Sorteer|Motyka|distantie naar '''Motyka''',<br>distantie naar Czekanowsky,<br>Percentage Dissimilarity<br>kwantitatieve vorm van '''S'''}}

|<math>M_{ij}= \frac {\sum_{k=1}^{m} {y_{ik}}+\sum_{k=1}^{m} {y_{jk}} - 2 \cdot \sum_{k=1}^{m} {\min(y_{ik},y_{jk})}}{\sum_{k=1}^{m} {y_{ik}}+\sum_{k=1}^{m} {y_{jk}}}</math>

|[0, 1]

|-

|{{Sorteer|Whittaker|distantie naar '''Whittaker''',<br>kwantitatieve vorm van '''J'''}}

|<math>W_{ij} = \frac {\sum_{k=1}^{m} {y_{ik}}+\sum_{k=1}^{m} {y_{jk}} - 2 \cdot \sum_{k=1}^{m} {\min(y_{ik},y_{jk})}}{\sum_{k=1}^{m} {y_{ik}}+\sum_{k=1}^{m} {y_{jk}} -\sum_{k=1}^{m} {\min(y_{ik},y_{jk})}}</math>

|[0, 1]

|-style="background-color:#FFFFDD;"

|<math>H_{ij} = \sum_{k=1}^{m} {\mid y_{ik}- y_{jk} \mid}</math><br>

<math>H_{ij} = a + b - 2c</math>

|[0, ∞)

|-style="background-color:#FFFFDD;"

|{{Sorteer|Jaccard|distantie naar '''Jaccard'''}}

|<math>J_{ij} = \frac{a+b-2c}{a+b-c}</math>

|[0, 1]

|-style="background-color:#FFFFDD;"

|{{Sorteer|Sørensen|distantie naar '''Sørensen''',<br>distantie naar '''Dice''',<br>1-'''Coefficient of Community'''}}

|<math>S_{ij} = \frac{a+b-2c}{a+b}</math>

|[0, 1]

|-style="background-color:#FFDDFF;"

|{{Sorteer|Simple Matching Coefficient|complement van<br>'''Simple Matching Coefficient'''}}

|<math>{SM'}_{ij} = \frac{A + D}{A + B + C + D}</math>

|[0, 1]

|-style="background-color:#FFDDFF;"

|'''Yule-Coefficient'''

|<math>YC_{ij} = \frac{AD - BC}{AD + BC}</math>

|[-1, 1]

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