TOSTER
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finally fix 0.43 vs 0.48 bounds issue in example text everywhere.
Eskine (2013) showed that participants who had been exposed to organic
food were substantially harsher in their moral judgments relative to
those exposed to control (d = 0.81, 95% CI: [0.19, 1.45]). A
replication by Moery & Calin-Jageman (2016, Study 2) did not observe
a significant effect (Control: n = 95, M = 5.25, SD = 0.95, Organic
Food: n = 89, M = 5.22, SD = 0.83). Following Simonsohn's (2015)
recommendation the equivalence bound was set to the effect size the
original study had 33% power to detect (with n = 21 in each condition,
this means the equivalence bound is d = 0.48, which equals a
difference of 0.384 on a 7-point scale given the sample sizes and a
pooled standard deviation of 0.894). Using a TOST equivalence test
with default alpha = 0.05, not assuming equal variances, and equivalence
bounds of d = -0.43 and d = 0.43 is significant, t(182) = -2.69,
p = 0.004. We can reject effects larger than d = 0.43.
TOSTtwo(m1=5.25,m2=5.22,sd1=0.95,sd2=0.83,n1=95,n2=89,low_eqbound_d=-0.43,high_eqbound_d=0.43)