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“a trend towards significance”

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In the literature

a trend towards significancep = 0.0501.0× alpha
Concerning the interrelation of cardiovascular risk factors with myocardial inflammation, only smoking was associated with myocardial inflammation in crude logistic regression analysis (OR 1.6687 [95%CI 1.113–2.500]; p = 0.013), but this association showed only a trend towards significance in the fully adjusted model (OR 1.659 [95%CI 1.000–2.753]; p = 0.050) (Table 4 , Fig. 4 ).
a trend towards significancep ≤ 0.051.0× alpha
This is the claim that p -values between 0.05 and 0.1 indicate a trend towards significance, most commonly expressed in the rote statement “The threshold for significance was set at p ≤ 0.05, and trends were reported at p < 0.10”.
a trend towards significancep = 0.05011.0× alpha
4 non-parametric Spearman rank correlation indicated a positive, statistically significant association between mRNA-expression measured by RT-qPCR in chemotherapy naïve, fresh core needle biopsy tissue between HLA-J and ESR1 mRNA status adjusted to IHC positivity (ρ: 0.5879, p = 0.009) as well as between HLA-J and KRT5 (ρ: 0.6121, p = 0.0041) and a trend towards significance between HLA-J and continuous ESR1 mRNA levels (ρ: 0.4436, p = 0.0501).
a trend towards significanceP = 0.0511.0× alpha
For every 1-s increase in TUG time (indicating poorer performance), the change in the odds of scoring (or showing better performance) in MMSE [OR = 1.157, (95% CI: 1.012, 1.322)] was higher in obese compared to normal weight men, with a trend towards significance in CVLT (OR [95% CI]: 1.056 [1.000, 1.115], P = 0.051).
a trend towards significancep =0.0511.0× alpha
In the MuTHER dataset, the linear model for methylation at cg22563815 (Expression ~ cg22563815*bisulfite conversion concentration*bisulfite conversion efficiency*rs7164030) showed a trend towards significance ( t =−1.95, p =0.051, β=−2.34; Fig. 4c ), while methylation at cg17108064 (Expression ~ cg17108064*batch*bisulfite conversion efficiency*rs7164030) did not predict expression ( t =1.48, p =0.14, β=0.99; Fig. 4d ).