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==== Comparative runtimes for Firth and score tests.  ====
 
==== Comparative runtimes for Firth and score tests.  ====
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Firth test is relatively computationally intensive compared to the score test.  However, Firth has better test properties (i.e. type I error rates and power) compare to score test when analyzing low frequency variants in studies with unequal numbers of cases and controls.
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Firth test is relatively computationally intensive compared to the score test.  However, Firth has better test properties (i.e. type I error rates and power) compare to score test when analyzing low frequency variants in studies with unequal numbers of cases and controls.  
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For example, using 1 CPU, analyzing 2333 FUSION individuals, chromosome 20, 22755 SNPs (adjusting for age, sex and 11 dummy variables for birth province):
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For example, using 1 CPU, analyzing 2333 FUSION individuals, chromosome 20, 22755 SNPs (adjusting for age, sex and 11 dummy variables for birth province):  
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*Firth test:  56 minutes
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*Firth test:  56 minutes (3360 seconds)
 
*Score test:  32 seconds
 
*Score test:  32 seconds
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<br> This is the reason why we only ask for Firth test results for SNPs with MAC &lt;= 200.
This is the reason why we only ask for Firth test results for SNPs with MAC &lt;= 200.
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=== 1. Typical DIAGRAM analysis using existing association pipeline<br>  ===
 
=== 1. Typical DIAGRAM analysis using existing association pipeline<br>  ===
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