Skip to main content
. 2020 May 15;8:e9145. doi: 10.7717/peerj.9145

Table 2. Traditional (least squares) and quantile regression analyses of spirometric traits between related individuals.a.

Least-squares regression analysis Quantile regression analysis
Correlation Least-squares regression slope Increase in slope per 1% increase in the offspring or sibling distribution Difference in slope between the 90th and 10th percentiles
Slope ± SE Pb Slope ± SE Pc Difference ± SE Pd
FEV1/FVC
Spouse 0.04 0.047 ± 0.018 0.007 −0.0005 ± 0.0005 0.37 −0.008 ± 0.077 0.91
Offspring-parent 0.17 0.134 ± 0.010 <10−15 −0.0009 ± 0.0003 0.003 −0.083 ± 0.032 0.01
Offspring-midparent 0.24 0.269 ± 0.018 <10−15 −0.0021 ± 0.0005 4.1 × 10−5 −0.192 ± 0.059 0.001
Full-sibling 0.27 0.266 ± 0.017 <10−15 −0.0022 ± 0.0005 2.1 × 10−6 −0.200 ± 0.040 5.6 × 10−7
FVC
Spouse 0.08 0.109 ± 0.033 0.001 0.0008 ± 0.0009 0.41 0.049 ± 0.089 0.58
Offspring-parent 0.26 0.263 ± 0.013 <10−15 −0.0002 ± 0.0003 0.43 −0.031 ± 0.027 0.24
Offspring-midparent 0.32 0.463 ± 0.022 <10−15 −0.0007 ± 0.0006 0.23 −0.050 ± 0.059 0.4
Full-sibling 0.32 0.321 ± 0.017 <10−15 0.0001 ± 0.0004 0.76 −0.001 ± 0.039 0.99
FEV1
Spouse 0.08 0.118 ± 0.034 0.0005 −0.0010 ± 0.0008 0.23 −0.073 ± 0.090 0.40
Offspring-parent 0.23 0.227 ± 0.012 <10−15 −0.0003 ± 0.0003 0.29 −0.026 ± 0.034 0.44
Offspring-midparent 0.30 0.407 ± 0.022 <10−15 −0.0007 ± 0.0006 0.22 −0.009 ± 0.058 0.88
Full-sibling 0.28 0.282 ± 0.017 <10−15 −0.0006 ± 0.0004 0.17 −0.070 ± 0.045 0.12
PEF
Spouse 0.05 0.078 ± 0.045 0.08 0.0001 ± 0.0012 0.92 −0.047 ± 0.111 0.67
Offspring-parent 0.19 0.180 ± 0.014 <10−15 0.0003 ± 0.0003 0.32 0.017 ± 0.034 0.61
Offspring-midparent 0.25 0.336 ± 0.026 <10−15 0.0006 ± 0.0006 0.34 0.052 ± 0.055 0.34
Full-sibling 0.23 0.228 ± 0.017 <10−15 0.0003 ± 0.0004 0.46 0.063 ± 0.046 0.17
MMEF
Spouse 0.04 0.049 ± 0.038 0.20 −0.0012 ± 0.0009 0.20 −0.106 ± 0.097 0.28
Offspring-parent 0.25 0.285 ± 0.015 <10−15 0.0013 ± 0.0004 0.0004 0.108 ± 0.037 0.003
Offspring-midparent 0.35 0.550 ± 0.028 <10−15 0.0014 ± 0.0008 0.06 0.137 ± 0.071 0.05
Full-sibling 0.30 0.296 ± 0.017 <10−15 0.0009 ± 0.0005 0.04 0.049 ± 0.049 0.32
FEF25%
Spouse 0.07 0.101 ± 0.043 0.02 −0.0007 ± 0.0011 0.52 −0.097 ± 0.105 0.36
Offspring-parent 0.21 0.200 ± 0.013 <10−15 −0.0002 ± 0.0003 0.45 −0.024 ± 0.032 0.47
Offspring-midparent 0.28 0.367 ± 0.024 <10−15 −0.0005 ± 0.0006 0.35 −0.092 ± 0.060 0.13
Full-sibling 0.24 0.241 ± 0.017 <10−15 −0.0007 ± 0.0004 0.12 −0.032 ± 0.035 0.36
FEF50%
Spouse 0.06 0.077 ± 0.037 0.04 −0.0007 ± 0.0009 0.41 −0.124 ± 0.080 0.12
Offspring-parent 0.25 0.253 ± 0.013 <10−15 0.0011 ± 0.0003 0.002 0.079 ± 0.037 0.03
Offspring-midparent 0.37 0.514 ± 0.024 <10−15 0.0010 ± 0.0006 0.10 0.060 ± 0.060 0.32
Full-sibling 0.28 0.284 ± 0.017 <10−15 0.0008 ± 0.0004 0.05 0.055 ± 0.044 0.21
FEF75%
Spouse 0.01 0.015 ± 0.038 0.70 −0.0012 ± 0.0011 0.27 −0.114 ± 0.097 0.24
Offspring-parent 0.20 0.249 ± 0.017 <10−15 0.0021 ± 0.0004 1.8 × 10−6 0.153 ± 0.048 0.002
Offspring-midparent 0.28 0.507 ± 0.033 <10−15 0.0035 ± 0.0009 0.0001 0.228 ± 0.090 0.01
Full-sibling 0.27 0.269 ± 0.017 <10−15 0.0019 ± 0.0005 0.0002 0.147 ± 0.052 0.005

Notes.

a

See figure legends for sample sizes.

b

Significance determined from standard least-squares regression giving each offspring equal weight.

c

Significance determined from linear contrast from the variance–covariance matrix determined from 1000 bootstrap samples.

d

Significance determined from difference in coefficients between the 10th and 90th quantiles and their associated standard errors (±SE) and covariance determined from 1,000 bootstrap samples. Significance levels are those reported by Stata, but it is important not to interpret significance levels much less than P < 0.001 literally but rather as indicators of strong significance.