Table 2.
Shrinkage Parameter | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|
Approximate test | Permutation test | |||||||||
0.1 | 1 | 10 | 100 | 0.1 | 1 | 10 | 100 | |||
Individuals | SNPs | |||||||||
500 | 20 | |||||||||
TPR | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | ||
FPR | 0.045 | 0.045 | 0.061 | 0.133 | 0.015 | 0.015 | 0.017 | 0.095 | ||
100 | ||||||||||
TPR | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | ||
FPR | 0.056 | 0.054 | 0.071 | 0.141 | 0.015 | 0.018 | 0.024 | 0.074 | ||
1000 | ||||||||||
TPR | 0.100 | 0.500 | 0.900 | 1.000 | 0.000 | 0.200 | 0.800 | 1.000 | ||
FPR | 0.038 | 0.045 | 0.049 | 0.080 | 0.007 | 0.006 | 0.010 | 0.029 | ||
ALL | ||||||||||
TPR | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | ||
FPR | 0.318 | 0.071 | 0.068 | 0.069 | 0.019 | 0.019 | 0.020 | 0.020 | ||
1000 | 20 | |||||||||
TPR | 0.900 | 1.000 | 1.000 | 1.000 | 0.900 | 1.000 | 1.000 | 1.000 | ||
FPR | 0.043 | 0.043 | 0.087 | 0.137 | 0.013 | 0.013 | 0.034 | 0.096 | ||
100 | ||||||||||
TPR | 0.900 | 1.000 | 1.000 | 1.000 | 0.900 | 0.900 | 1.000 | 1.000 | ||
FPR | 0.051 | 0.052 | 0.060 | 0.108 | 0.023 | 0.023 | 0.019 | 0.062 | ||
1000 | ||||||||||
TPR | 0.700 | 0.700 | 1.000 | 1.000 | 0.400 | 0.500 | 0.900 | 1.000 | ||
FPR | 0.060 | 0.058 | 0.055 | 0.076 | 0.007 | 0.008 | 0.010 | 0.020 | ||
ALL | ||||||||||
TPR | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | ||
FPR | 0.166 | 0.155 | 0.110 | 0.071 | 0.015 | 0.015 | 0.015 | 0.017 | ||
5000 | 20 | |||||||||
TPR | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | ||
FPR | 0.048 | 0.048 | 0.048 | 0.113 | 0.006 | 0.006 | 0.006 | 0.053 | ||
100 | ||||||||||
TPR | 0.900 | 0.900 | 1.000 | 1.000 | 0.800 | 0.900 | 1.000 | 1.000 | ||
FPR | 0.055 | 0.052 | 0.062 | 0.100 | 0.003 | 0.001 | 0.007 | 0.055 | ||
1000 | ||||||||||
TPR | 0.700 | 0.700 | 1.000 | 1.000 | 0.700 | 0.700 | 0.900 | 1.000 | ||
FPR | 0.046 | 0.046 | 0.045 | 0.060 | 0.006 | 0.007 | 0.008 | 0.014 | ||
ALL | ||||||||||
TPR | 0.400 | 0.500 | 0.900 | 1.000 | 0.300 | 0.900 | 0.900 | 1.000 | ||
FPR | 0.026 | 0.027 | 0.029 | 0.042 | 0.007 | 0.007 | 0.007 | 0.009 |
Performance comparison between a permutation test and the approximate test. Data are simulated genotype data with continuous phenotypes. Reported are proportion of true positive and false positive results at significance threshold α = 0.05. TPR = True Positive Rate, FPR = False positive rate. Results for each simulation scenario are averaged over ten replicates.