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Table 11 Model comparison on different data sets (signal in counts, effect size +100%)

From: llperm: a permutation of regressor residuals test for microbiome data

Data Set

Family

Type

Power

FPR

Power@0.05

AUC@0.10

soilrep

Poisson

(loglik)

0.53 (\(\pm 0.00\))

0.21 (\(\pm 0.01\))

0.29 (\(\pm 0.01\))

0.69 (\(\pm 0.01\))

soilrep

Poisson

(llperm)

0.17 (\(\pm 0.01\))

0.05 (\(\pm 0.00\))

0.18 (\(\pm 0.01\))

0.62 (\(\pm 0.01\))

soilrep

ZIPoisson

(loglik)

0.54 (\(\pm 0.01\))

0.17 (\(\pm 0.01\))

0.34 (\(\pm 0.01\))

0.71 (\(\pm 0.01\))

soilrep

ZIPoisson

(llperm)

0.30 (\(\pm 0.01\))

0.05 (\(\pm 0.00\))

0.30 (\(\pm 0.01\))

0.69 (\(\pm 0.01\))

soilrep

NegativeBinomial

(loglik)

0.18 (\(\pm 0.01\))

0.06 (\(\pm 0.00\))

0.15 (\(\pm 0.01\))

0.59 (\(\pm 0.02\))

soilrep

NegativeBinomial

(llperm)

0.17 (\(\pm 0.01\))

0.05 (\(\pm 0.00\))

0.17 (\(\pm 0.01\))

0.61 (\(\pm 0.01\))

soilrep

ZINegativeBinomial

(loglik)

0.30 (\(\pm 0.01\))

0.05 (\(\pm 0.00\))

0.29 (\(\pm 0.00\))

0.70 (\(\pm 0.01\))

soilrep

ZINegativeBinomial

(llperm)

0.27 (\(\pm 0.01\))

0.05 (\(\pm 0.00\))

0.28 (\(\pm 0.01\))

0.67 (\(\pm 0.01\))

enterotype

Poisson

(loglik)

1.00 (\(\pm 0.00\))

0.97 (\(\pm 0.01\))

0.11 (\(\pm 0.01\))

0.56 (\(\pm 0.01\))

enterotype

Poisson

(llperm)

0.62 (\(\pm 0.02\))

0.09 (\(\pm 0.02\))

0.70 (\(\pm 0.02\))

0.89 (\(\pm 0.01\))

enterotype

ZIPoisson

(loglik)

1.00 (\(\pm 0.00\))

0.95 (\(\pm 0.01\))

0.12 (\(\pm 0.01\))

0.56 (\(\pm 0.02\))

enterotype

ZIPoisson

(llperm)

0.81 (\(\pm 0.01\))

0.10 (\(\pm 0.02\))

0.78 (\(\pm 0.02\))

0.92 (\(\pm 0.01\))

enterotype

NegativeBinomial

(loglik)

0.09 (\(\pm 0.01\))

0.02 (\(\pm 0.00\))

0.40 (\(\pm 0.02\))

0.53 (\(\pm 0.02\))

enterotype

NegativeBinomial

(llperm)

0.67 (\(\pm 0.02\))

0.07 (\(\pm 0.02\))

0.75 (\(\pm 0.02\))

0.90 (\(\pm 0.01\))

enterotype

ZINegativeBinomial

(loglik)

0.84 (\(\pm 0.01\))

0.14 (\(\pm 0.02\))

0.76 (\(\pm 0.02\))

0.81 (\(\pm 0.01\))

enterotype

ZINegativeBinomial

(llperm)

0.81 (\(\pm 0.01\))

0.07 (\(\pm 0.02\))

0.81 (\(\pm 0.01\))

0.93 (\(\pm 0.01\))

dmn_se

Poisson

(loglik)

0.94 (\(\pm 0.01\))

0.72 (\(\pm 0.01\))

0.40 (\(\pm 0.02\))

0.83 (\(\pm 0.02\))

dmn_se

Poisson

(llperm)

0.51 (\(\pm 0.02\))

0.08 (\(\pm 0.01\))

0.48 (\(\pm 0.02\))

0.87 (\(\pm 0.02\))

dmn_se

ZIPoisson

(loglik)

0.93 (\(\pm 0.01\))

0.68 (\(\pm 0.01\))

0.40 (\(\pm 0.02\))

0.81 (\(\pm 0.02\))

dmn_se

ZIPoisson

(llperm)

0.58 (\(\pm 0.02\))

0.07 (\(\pm 0.01\))

0.55 (\(\pm 0.02\))

0.88 (\(\pm 0.02\))

dmn_se

NegativeBinomial

(loglik)

0.56 (\(\pm 0.02\))

0.13 (\(\pm 0.01\))

0.42 (\(\pm 0.03\))

0.78 (\(\pm 0.02\))

dmn_se

NegativeBinomial

(llperm)

0.56 (\(\pm 0.02\))

0.08 (\(\pm 0.01\))

0.53 (\(\pm 0.02\))

0.87 (\(\pm 0.02\))

dmn_se

ZINegativeBinomial

(loglik)

0.59 (\(\pm 0.02\))

0.11 (\(\pm 0.01\))

0.48 (\(\pm 0.02\))

0.83 (\(\pm 0.02\))

dmn_se

ZINegativeBinomial

(llperm)

0.58 (\(\pm 0.02\))

0.07 (\(\pm 0.01\))

0.55 (\(\pm 0.02\))

0.89 (\(\pm 0.02\))

sparseDOSSA

Poisson

(loglik)

0.98 (\(\pm 0.00\))

0.87 (\(\pm 0.00\))

0.50 (\(\pm 0.01\))

0.78 (\(\pm 0.01\))

sparseDOSSA

Poisson

(llperm)

0.58 (\(\pm 0.02\))

0.07 (\(\pm 0.00\))

0.51 (\(\pm 0.02\))

0.73 (\(\pm 0.01\))

sparseDOSSA

ZIPoisson

(loglik)

1.00 (\(\pm 0.00\))

0.73 (\(\pm 0.01\))

0.83 (\(\pm 0.01\))

0.85 (\(\pm 0.01\))

sparseDOSSA

ZIPoisson

(llperm)

1.00 (\(\pm 0.00\))

0.09 (\(\pm 0.00\))

0.99 (\(\pm 0.00\))

0.93 (\(\pm 0.01\))

sparseDOSSA

NegativeBinomial

(loglik)

0.04 (\(\pm 0.01\))

0.01 (\(\pm 0.00\))

0.33 (\(\pm 0.02\))

0.61 (\(\pm 0.02\))

sparseDOSSA

NegativeBinomial

(llperm)

0.58 (\(\pm 0.02\))

0.06 (\(\pm 0.00\))

0.52 (\(\pm 0.02\))

0.74 (\(\pm 0.01\))

sparseDOSSA

ZINegativeBinomial

(loglik)

1.00 (\(\pm 0.00\))

0.12 (\(\pm 0.00\))

0.96 (\(\pm 0.01\))

0.91 (\(\pm 0.01\))

sparseDOSSA

ZINegativeBinomial

(llperm)

1.00 (\(\pm 0.00\))

0.09 (\(\pm 0.00\))

0.98 (\(\pm 0.01\))

0.89 (\(\pm 0.01\))

metaSPARSim

Poisson

(loglik)

0.72 (\(\pm 0.01\))

0.48 (\(\pm 0.00\))

0.11 (\(\pm 0.01\))

0.61 (\(\pm 0.02\))

metaSPARSim

Poisson

(llperm)

0.36 (\(\pm 0.01\))

0.06 (\(\pm 0.00\))

0.33 (\(\pm 0.02\))

0.72 (\(\pm 0.02\))

metaSPARSim

ZIPoisson

(loglik)

0.64 (\(\pm 0.01\))

0.42 (\(\pm 0.00\))

0.10 (\(\pm 0.01\))

0.62 (\(\pm 0.02\))

metaSPARSim

ZIPoisson

(llperm)

0.32 (\(\pm 0.02\))

0.06 (\(\pm 0.00\))

0.31 (\(\pm 0.02\))

0.75 (\(\pm 0.02\))

metaSPARSim

NegativeBinomial

(loglik)

0.38 (\(\pm 0.01\))

0.07 (\(\pm 0.00\))

0.34 (\(\pm 0.02\))

0.73 (\(\pm 0.01\))

metaSPARSim

NegativeBinomial

(llperm)

0.36 (\(\pm 0.01\))

0.06 (\(\pm 0.00\))

0.34 (\(\pm 0.02\))

0.73 (\(\pm 0.01\))

metaSPARSim

ZINegativeBinomial

(loglik)

0.31 (\(\pm 0.01\))

0.06 (\(\pm 0.00\))

0.30 (\(\pm 0.02\))

0.70 (\(\pm 0.02\))

metaSPARSim

ZINegativeBinomial

(llperm)

0.34 (\(\pm 0.01\))

0.06 (\(\pm 0.00\))

0.32 (\(\pm 0.02\))

0.73 (\(\pm 0.02\))

VegaZINB

Poisson

(loglik)

0.99 (\(\pm 0.00\))

0.82 (\(\pm 0.00\))

0.44 (\(\pm 0.01\))

0.64 (\(\pm 0.01\))

VegaZINB

Poisson

(llperm)

0.80 (\(\pm 0.01\))

0.05 (\(\pm 0.00\))

0.80 (\(\pm 0.01\))

0.89 (\(\pm 0.00\))

VegaZINB

ZIPoisson

(loglik)

0.98 (\(\pm 0.00\))

0.72 (\(\pm 0.00\))

0.36 (\(\pm 0.01\))

0.65 (\(\pm 0.01\))

VegaZINB

ZIPoisson

(llperm)

0.65 (\(\pm 0.01\))

0.06 (\(\pm 0.00\))

0.65 (\(\pm 0.01\))

0.84 (\(\pm 0.01\))

VegaZINB

NegativeBinomial

(loglik)

0.49 (\(\pm 0.01\))

0.01 (\(\pm 0.00\))

0.76 (\(\pm 0.01\))

0.86 (\(\pm 0.01\))

VegaZINB

NegativeBinomial

(llperm)

0.80 (\(\pm 0.01\))

0.05 (\(\pm 0.00\))

0.80 (\(\pm 0.01\))

0.89 (\(\pm 0.00\))

VegaZINB

ZINegativeBinomial

(loglik)

0.78 (\(\pm 0.01\))

0.06 (\(\pm 0.00\))

0.75 (\(\pm 0.01\))

0.87 (\(\pm 0.00\))

VegaZINB

ZINegativeBinomial

(llperm)

0.76 (\(\pm 0.01\))

0.05 (\(\pm 0.00\))

0.76 (\(\pm 0.01\))

0.88 (\(\pm 0.00\))