Simple Matching Coefficient

The Simple Machine Coefficient calculator computes the coefficient for comparing the similarity and diversity of sample sets.

INSTRUCTION: Enter the following:

• (M₀₀) Total number of attributes where A and B are both zero (0)
• (M₁₁) Total number of attributes where A and B are both one (1)
• (M₀₁) Total number of attributes where A is zero (0) and B one (1)
• (M₁₀) Total number of attributes where A is one (1) and B is zero (0)

Simple Matching Coefficient (SMC): The calculator returns the coefficient as a real number.  However this can be automatically converted to a percentage via the pull-down menu.

The Math / Science

The Simple Matching Coefficient is a coefficient that indicates the degree of similarity of two communities based on the number of species that they have in common.  The formula for the Simple Matching Coefficient is:

       SMC = (M₀₀ + M₁₁) / (M₀₀ + M₁₁ + M₁₀ + M₀₁)

where:

• SMC = Simple Matching Coefficient
• M₀₀ = Total number of attributes where A and B are both zero (0)
• M₁₁ = Total number of attributes where A and B are both one (1)
• M₀₁ = Total number of attributes where A is zero (0) and B one (1)
• M₁₀ = Total number of attributes where A is one (1) and B is zero (0)

Community Statistics Calculators 

• Sorensen Coefficient
• Jaccard Index
• Jaccard Index (simple)
• Simple Matching Coefficient
• One Way Analysis of Variance (ANOVA)
• Simple Statistics Calculator
• Sort a list of numeric values
• Create a random subset of the a list of numeric values
• Frequency distribution of data.
• Chi-Square Calculator

Reference

1. ^ The description of Jaccard index is from Wikipedia: en.wikipedia.org/wiki/Jaccard index