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Table 1 Sensitivity analyses: smallest detectable effect size based on analysis parameters

From: Anger, race, and the neurocognition of threat: attention, inhibition, and error processing during a weapon identification task

  N Between-subjects groups Within-subject measurements Power α Lowest observed pairwise correlation Effect size
Behavioral analyses        
Paired-sample t tests 103 2 2 .80 .05 NA .28
Mixed Method (Between-Within) ANOVA        
 Main Effect of Emotion 103 2 2 .80 .05 .23 .21
 Main Effect of for within-subject variables 103 2 2 .80 .05 .23 .17
 Between-Subject × Within-Subject Interactions 103 2 2 .80 .05 .23 .17
ERP analyses        
Paired-sample t tests 76 2 2 .80 .05 NA .32
Mixed Method (Between-Within) ANOVA        
 Main Effect of Emotion 76 2 2 .80 .05 .23 .25
 Main Effect of for Within-Subject Variables 76 2 2 .80 .05 .23 .20
 Between-Subject × Within-Subject Interactions 76 2 2 .80 .05 .23 .20
  1. Sensitivity analyses are reported for paired-sample t tests and mixed method ANOVAs, separately for behavioral and ERP analyses. We used the lowest observed pairwise relationship among within-subject factors to obtain conservative estimates of the lowest effect size our analyses would be able to detect. Effect sizes for t test are reported in Cohen's d, effect sizes for ANOVAs are reported in Cohen's f