|
Sample size = 600
| | | | | |
|---|
| |
Type I error
|
Power
|
|---|
| |
Null
|
Setting 1
|
Setting 2
|
Setting 3
|
|---|
|
α-level
|
0.05
|
0.01
|
0.05
|
0.05
|
0.05
|
|---|
|
Rarefaction
| | | | | |
|
Linear regression
|
0.0247
|
0.0032
|
0.0602 +
|
0.0424 +
|
0.0326 +
|
|
ZIP
|
0.8238
|
0.7766
|
0.8056 ∗
|
0.7642 ∗
|
0.7384 ∗
|
|
ZINB
|
0.4241
|
0.2916
|
0.3515 ∗
|
0.3304 ∗
|
0.3150 ∗
|
|
ZINQ-MinP
|
0.0471
|
0.0089
|
0.9243
|
0.4867
|
0.0819
|
|
ZINQ-Cauchy
|
0.0506
|
0.0100
|
0.9166
|
0.5428
|
0.0954
|
|
TSS
| | | | | |
|
Linear regression
|
0.0279
|
0.0030
|
0.0372 +
|
0.0338 +
|
0.0320 +
|
|
ZIB
|
0.0053
|
0.0009
|
0.0649 +
|
0.0190 +
|
0.0067 +
|
|
Tobit
|
0.0522
|
0.0137
|
0.0837
|
0.0703
|
0.0635
|
|
ZIlogN
|
0.9997
|
0.9997
|
0.9987 ∗
|
0.9978 ∗
|
0.9983 ∗
|
|
ZIG
|
0.0495
|
0.0073
|
0.1094
|
0.0675
|
0.0498
|
|
ZINQ-MinP
|
0.0428
|
0.0083
|
0.6626
|
0.2480
|
0.0596
|
|
ZINQ-Cauchy
|
0.0497
|
0.0099
|
0.6800
|
0.2818
|
0.0700
|
|
CSS
| | | | | |
|
Linear regression
|
0.0500
|
0.0107
|
0.2021
|
0.1034
|
0.0541
|
|
Tobit
|
0.0498
|
0.0111
|
0.1677
|
0.0929
|
0.0533
|
|
ZIlogN
|
0.0446
|
0.0071
|
0.4933
|
0.2063
|
0.0621
|
|
ZIG
|
0.0443
|
0.0076
|
0.5563
|
0.2264
|
0.0643
|
|
ZINQ-MinP
|
0.0456
|
0.0085
|
0.8442
|
0.3766
|
0.0720
|
|
ZINQ-Cauchy
|
0.0497
|
0.0099
|
0.8327
|
0.3897
|
0.0773
|
- Setting 1: 100% from HBP edf for HBP samples;
- Setting 2: 80% from HBP edf and 20% from non-HBP edf for HBP samples;
- Setting 3: 60% from HBP edf and 40% from non-HBP edf for HBP samples.
- ∗: power of a method that inflates type I error
- +: power of a method that deflates type I error
- Results by the various methods on 10000 simulated datasets by generating samples from the edf of Saccharibacteria’s normalized abundance, including type I error control and power under different settings with significance cutoffs 0.05 and 0.01
