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. Author manuscript; available in PMC: 2015 Nov 1.
Published in final edited form as: Genet Epidemiol. 2014 Sep 12;38(7):638–651. doi: 10.1002/gepi.21852

Table 2.

Empirical Type I error at significance level

Measurement
error in FPCA
simulation
modela 		BMIc
(14–
19
yrs.)		 BMI
(20–
29
yrs.)		 BMI
(30–
39
yrs.)		 BMI
(40–
49
yrs.)		 BMI
(50–
59
yrs.)		 BMI
MinPd
(unadjusted)		 BMI
MinPe
(Bonf.)		 BMI MinPf
(Parametric
bootstrap)		 BMIg
(Score)		 FLRh
(LRT)		 FLRh
(Score)		 FLRh
(SSU)
w/o error .051b .049 .048 .047 .054 .103 .020 .025 .049 .052 .052 .048
with error (σ) .047 .049 .047 .047 .049 .121 .026 .031 .044 .050 .050 .050
with error (2σ) .041 .047 .046 .049 .047 .140 .031 .038 .043 .052 .051 .044
a

Whether observed BMI was contaminated by measurement error in the simulation model; σ is the estimated standard deviation of measurement error from the real data.

b

All empirical Type I errors were based on 2,000 simulation replications with 1,000 cases and 1,000 controls in each replicate.

c

Gene by age-specific BMI interaction by Model (1).

d

Unadjusted minimum p-value (minP) for age-specific interactions.

e

Adjusted minP for age-specific interactions based on the Bonferroni procedure.

f

Adjusted minP for age-specific interactions based on parametric bootstrap.

g

Score test for gene by longitudinal BMI interaction via multiple logistic regression Model (2).

h

Functional logistic regression (FLR)-based likelihood ratio test (LRT), score test and Sum of Squared score (SSU) test.