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PRIMER v6. Non-metric Multidimensional Analysis Analysis of Similarities Similarity Percentages. Non-Metric Multidimensional Analysis (NMDS). used for visualization of similarities or dissimilarities in data. map of samples in 2D or 3D. NMDS.
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PRIMER v6 Non-metric Multidimensional AnalysisAnalysis of SimilaritiesSimilarity Percentages
Non-Metric Multidimensional Analysis(NMDS) • used for visualization of similarities or dissimilarities in data • map of samples in 2D or 3D
NMDS • Distances between sample points represent dissimilarity between communities • Requires no/few assumptions • Complex algorithm, but simple to interpret 3 1 2
NMDS - steps • Data entry (& transformations) -type in raw data -import from Excel -import from previous analysis
NMDS - steps 2. Similarity or dissimilarity matrix - Bray-Curtis dissimilarity; distance
NMDS - steps • 3. Perform non-parametric regression -Shepard diagram
NMDS - steps 4. Measure goodness of fit (calculate stress = distances of points in plot from regression line) jkdjk-djk2/jkd2jk)
NMDS - steps 5. Perturb the configuration – in direction of decreasing stress 6. Repeat until no further decrease in stress (global minimum vs. local minimum)
NMDS - notes • Stress should low: < 0.05 excellent < 0.1 good < 0.2 should be checked < 0.3 near random • Usually lower stress with higher dimensionality
NMDS - notes • Shepard diagram – outliers ** no absolute scales, no units ** only relative distance apart is meaningful
ANALYSIS OF SIMILARITY(ANOSIM) • approximate analog of ANOVA tests • Null hypo. = no assemblage differences
ANOSIM • Multiple options: - one-way layout - two-way crossed layout - two way crossed (no replicates) - two-way nested
ANOSIM - steps • Compute R-stat • Re-compute R under different configurations of sample labels • Calculate significance level
ANOSIM - notes • Operates on resemblance matrix • Minimal assumptions
SIMILIRITY PERCENTAGES(SIMPER) • After differences are shown, move on to interpretation of differences • Compares contributions of species to differences between communities (samples) • Calculates percent contributions
PRIMER EXAMPLE COMMUNITY STRUCTURE OF ROCKY INTERTIDAL SHORES FACTORS: • Shore (Tor Bay vs. Sea Shore) • Elevation (high vs. low)