If there is an increasing trend over the K treatments, we should use the one-sided p-value, p r , g = Prob ( Z > c g ) = 1 - Φ( c g ).
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Detecting differentially methylated loci for multiple treatments based on high-throughput methylation data.
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On the other hand if there is a decreasing trend over the K treatments, we should use the other one-sided p-value, p l , g = Prob ( Z < c g ) = Φ( c g ).