PA ~ RE Pre-COVID
## Cumulative Link Mixed Model fitted with the Laplace approximation
##
## formula: PA_avg ~ roaming_entropy + time_of_day + precipi + mean_temp +
## distance + dow + (1 | subject)
## data: prelockdown_df
##
## link threshold nobs logLik AIC niter max.grad cond.H
## logit flexible 3752 -7399.04 14840.08 955(6646) 3.68e+02 NaN
##
## Random effects:
## Groups Name Variance Std.Dev.
## subject (Intercept) 1 1
## Number of groups: subject 236
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## roaming_entropy 0.1081712 NA NA NA
## time_of_day 0.0037596 NA NA NA
## precipi 0.1132852 NA NA NA
## mean_temp -0.0112147 NA NA NA
## distance 0.0004948 NA NA NA
## dowMonday -0.2078319 NA NA NA
## dowSaturday 0.5050218 NA NA NA
## dowSunday -0.0369758 NA NA NA
## dowThursday -0.2960213 NA NA NA
## dowTuesday -0.6234429 NA NA NA
## dowWednesday -0.6610389 NA NA NA
##
## Threshold coefficients:
## Estimate Std. Error z value
## [0,10]|(10,20] -4.40117 NA NA
## (10,20]|(20,30] -3.47658 NA NA
## (20,30]|(30,40] -2.60577 NA NA
## (30,40]|(40,50] -1.83912 NA NA
## (40,50]|(50,60] -1.05119 NA NA
## (50,60]|(60,70] -0.02025 NA NA
## (60,70]|(70,80] 0.78080 NA NA
## (70,80]|(80,90] 1.70447 NA NA
## (80,90]|(90,100] 2.91198 NA NA
## (5580 observations deleted due to missingness)
## Cumulative Link Mixed Model fitted with the Laplace approximation
##
## formula: PA_avg ~ roaming_entropy + dow + (1 | subject)
## data: prelockdown_df
##
## link threshold nobs logLik AIC niter max.grad cond.H
## logit flexible 3752 -7339.68 14713.36 3188(21593) 7.00e-03 6.4e+02
##
## Random effects:
## Groups Name Variance Std.Dev.
## subject (Intercept) 1.322 1.15
## Number of groups: subject 236
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## roaming_entropy 0.18839 0.04316 4.364 1.27e-05 ***
## dowMonday -0.09449 0.11489 -0.822 0.41081
## dowSaturday 0.65356 0.11960 5.464 4.65e-08 ***
## dowSunday 0.12829 0.12807 1.002 0.31651
## dowThursday -0.34036 0.11592 -2.936 0.00332 **
## dowTuesday -0.64856 0.11006 -5.893 3.80e-09 ***
## dowWednesday -0.80956 0.12115 -6.682 2.35e-11 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Threshold coefficients:
## Estimate Std. Error z value
## [0,10]|(10,20] -4.1492 0.2028 -20.456
## (10,20]|(20,30] -3.1444 0.1834 -17.145
## (20,30]|(30,40] -2.1645 0.1745 -12.403
## (30,40]|(40,50] -1.2729 0.1709 -7.448
## (40,50]|(50,60] -0.3247 0.1694 -1.916
## (50,60]|(60,70] 0.9442 0.1700 5.555
## (60,70]|(70,80] 1.9393 0.1727 11.227
## (70,80]|(80,90] 3.0495 0.1787 17.064
## (80,90]|(90,100] 4.4231 0.1972 22.430
## (5580 observations deleted due to missingness)
## df BIC
## complex_PA_RE 21 14970.91
## simple_PA_RE 17 14819.27
PA ~ NL Pre_COVID
## Cumulative Link Mixed Model fitted with the Laplace approximation
##
## formula: PA_avg ~ novel_locations + time_of_day + precipi + mean_temp +
## distance + dow + (1 | subject)
## data: prelockdown_df
##
## link threshold nobs logLik AIC niter max.grad cond.H
## logit flexible 3530 -6843.45 13728.90 3670(18582) 4.80e+00 6.8e+07
##
## Random effects:
## Groups Name Variance Std.Dev.
## subject (Intercept) 1.361 1.167
## Number of groups: subject 236
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## novel_locations 0.0057750 0.0007405 7.799 6.25e-15 ***
## time_of_day 0.0058588 0.0017871 3.278 0.00104 **
## precipi -0.0920865 0.2183078 -0.422 0.67316
## mean_temp -0.0066466 0.0045760 -1.452 0.14637
## distance 0.0003341 0.0001545 2.162 0.03058 *
## dowMonday -0.1599740 0.1391882 -1.149 0.25042
## dowSaturday 0.4164064 0.1267103 3.286 0.00102 **
## dowSunday -0.0844184 0.1408618 -0.599 0.54897
## dowThursday -0.3492895 0.1294266 -2.699 0.00696 **
## dowTuesday -0.6571437 0.1261150 -5.211 1.88e-07 ***
## dowWednesday -0.7942914 0.1392491 -5.704 1.17e-08 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Threshold coefficients:
## Estimate Std. Error z value
## [0,10]|(10,20] -4.7855 0.3996 -11.975
## (10,20]|(20,30] -3.7648 0.3887 -9.685
## (20,30]|(30,40] -2.7500 0.3840 -7.162
## (30,40]|(40,50] -1.8394 0.3821 -4.814
## (40,50]|(50,60] -0.8750 0.3812 -2.295
## (50,60]|(60,70] 0.4233 0.3811 1.111
## (60,70]|(70,80] 1.4580 0.3822 3.815
## (70,80]|(80,90] 2.5696 0.3845 6.683
## (80,90]|(90,100] 3.9587 0.3933 10.065
## (5802 observations deleted due to missingness)
## Cumulative Link Mixed Model fitted with the Laplace approximation
##
## formula: PA_avg ~ novel_locations + dow + (1 | subject)
## data: prelockdown_df
##
## link threshold nobs logLik AIC niter max.grad cond.H
## logit flexible 3530 -6852.92 13739.84 1799(10409) 6.64e-02 5.3e+05
##
## Random effects:
## Groups Name Variance Std.Dev.
## subject (Intercept) 1.358 1.165
## Number of groups: subject 236
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## novel_locations 0.0066013 0.0006869 9.610 < 2e-16 ***
## dowMonday -0.0529282 0.1214789 -0.436 0.663055
## dowSaturday 0.4558068 0.1222015 3.730 0.000192 ***
## dowSunday 0.0299557 0.1288722 0.232 0.816192
## dowThursday -0.2997968 0.1222923 -2.451 0.014227 *
## dowTuesday -0.5713035 0.1168765 -4.888 0.0000010182 ***
## dowWednesday -0.7417661 0.1312278 -5.653 0.0000000158 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Threshold coefficients:
## Estimate Std. Error z value
## [0,10]|(10,20] -4.3753 0.1774 -24.662
## (10,20]|(20,30] -3.3560 0.1514 -22.169
## (20,30]|(30,40] -2.3421 0.1391 -16.836
## (30,40]|(40,50] -1.4342 0.1340 -10.705
## (40,50]|(50,60] -0.4732 0.1316 -3.594
## (50,60]|(60,70] 0.8210 0.1321 6.217
## (60,70]|(70,80] 1.8516 0.1357 13.648
## (70,80]|(80,90] 2.9591 0.1435 20.614
## (80,90]|(90,100] 4.3470 0.1672 26.001
## (5802 observations deleted due to missingness)
## df BIC
## complex_PA_NL 21 13858.45
## simple_PA_NL 17 13844.72
RE ~ Lockdown
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: roaming_entropy ~ lockdown + dow + (1 | subject)
## Data: df
##
## REML criterion at convergence: 56302.6
##
## Scaled residuals:
## Min 1Q Median 3Q Max
## -3.5750 -0.6444 -0.0388 0.5547 8.1670
##
## Random effects:
## Groups Name Variance Std.Dev.
## subject (Intercept) 0.1108 0.3329
## Residual 0.7114 0.8435
## Number of obs: 22269, groups: subject, 236
##
## Fixed effects:
## Estimate Std. Error df t value Pr(>|t|)
## (Intercept) 2.68906 0.02725 513.95861 98.697 < 2e-16 ***
## lockdown -1.31204 0.01171 22119.43894 -112.015 < 2e-16 ***
## dowMonday -0.22012 0.02119 22031.73123 -10.387 < 2e-16 ***
## dowSaturday -0.20450 0.02144 22031.80328 -9.537 < 2e-16 ***
## dowSunday -0.38402 0.02135 22032.64256 -17.985 < 2e-16 ***
## dowThursday -0.04559 0.02088 22031.32539 -2.183 0.029044 *
## dowTuesday -0.19971 0.02096 22032.09115 -9.529 < 2e-16 ***
## dowWednesday -0.07660 0.02097 22031.41954 -3.653 0.000259 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Correlation of Fixed Effects:
## (Intr) lckdwn dwMndy dwStrd dwSndy dwThrs dwTsdy
## lockdown -0.259
## dowMonday -0.388 0.016
## dowSaturday -0.382 0.009 0.488
## dowSunday -0.386 0.017 0.491 0.485
## dowThursday -0.387 -0.010 0.501 0.495 0.497
## dowTuesday -0.396 0.030 0.500 0.494 0.496 0.507
## dowWednesdy -0.386 -0.006 0.499 0.493 0.496 0.507 0.505
NL ~ Lockdown
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: novel_locations ~ lockdown + dow + (1 | subject)
## Data: df
##
## REML criterion at convergence: 226331.7
##
## Scaled residuals:
## Min 1Q Median 3Q Max
## -2.0146 -0.5184 -0.2334 0.2032 16.8561
##
## Random effects:
## Groups Name Variance Std.Dev.
## subject (Intercept) 299.5 17.31
## Residual 3283.7 57.30
## Number of obs: 20654, groups: subject, 236
##
## Fixed effects:
## Estimate Std. Error df t value Pr(>|t|)
## (Intercept) 64.7348 1.6378 819.5275 39.526 < 2e-16 ***
## lockdown -20.9396 0.8469 20554.7833 -24.725 < 2e-16 ***
## dowMonday -15.3808 1.4954 20421.1453 -10.285 < 2e-16 ***
## dowSaturday 3.0943 1.5138 20421.2495 2.044 0.041 *
## dowSunday -6.7273 1.5075 20422.9883 -4.462 8.15e-06 ***
## dowThursday -6.0565 1.4718 20420.3481 -4.115 3.89e-05 ***
## dowTuesday -13.4029 1.4780 20421.8194 -9.069 < 2e-16 ***
## dowWednesday -10.4849 1.4782 20420.5433 -7.093 1.35e-12 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Correlation of Fixed Effects:
## (Intr) lckdwn dwMndy dwStrd dwSndy dwThrs dwTsdy
## lockdown -0.337
## dowMonday -0.456 0.017
## dowSaturday -0.448 0.009 0.488
## dowSunday -0.453 0.018 0.490 0.484
## dowThursday -0.454 -0.011 0.501 0.495 0.497
## dowTuesday -0.467 0.033 0.500 0.494 0.496 0.507
## dowWednesdy -0.453 -0.007 0.499 0.493 0.495 0.507 0.505
PA ~ Lockdown
## Cumulative Link Mixed Model fitted with the Laplace approximation
##
## formula: PA_avg ~ lockdown + dow + (1 | subject)
## data: df
##
## link threshold nobs logLik AIC niter max.grad cond.H
## logit flexible 9955 -19395.21 38824.42 3656(22908) 6.96e-03 5.6e+02
##
## Random effects:
## Groups Name Variance Std.Dev.
## subject (Intercept) 1.422 1.193
## Number of groups: subject 236
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## lockdown -0.47168 0.03703 -12.738 < 2e-16 ***
## dowMonday -0.29968 0.06717 -4.462 8.13e-06 ***
## dowSaturday 0.21179 0.06906 3.067 0.00216 **
## dowSunday 0.11463 0.07035 1.629 0.10321
## dowThursday -0.29532 0.06748 -4.377 1.21e-05 ***
## dowTuesday -0.45945 0.06746 -6.811 9.71e-12 ***
## dowWednesday -0.19489 0.06927 -2.813 0.00490 **
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Threshold coefficients:
## Estimate Std. Error z value
## [0,10]|(10,20] -4.34104 0.11175 -38.846
## (10,20]|(20,30] -3.42823 0.10371 -33.057
## (20,30]|(30,40] -2.58314 0.09996 -25.843
## (30,40]|(40,50] -1.70778 0.09796 -17.433
## (40,50]|(50,60] -0.75312 0.09689 -7.773
## (50,60]|(60,70] 0.52024 0.09679 5.375
## (60,70]|(70,80] 1.49330 0.09817 15.212
## (70,80]|(80,90] 2.56106 0.10220 25.059
## (80,90]|(90,100] 3.89741 0.11603 33.590
## (18455 observations deleted due to missingness)
NA ~ Lockdown
## Cumulative Link Mixed Model fitted with the Laplace approximation
##
## formula: NA_avg ~ lockdown + dow + (1 | subject)
## data: df
##
## link threshold nobs logLik AIC niter max.grad cond.H
## logit flexible 9955 -19205.27 38444.55 2748(29361) 1.26e+01 NaN
##
## Random effects:
## Groups Name Variance Std.Dev.
## subject (Intercept) 2.45 1.565
## Number of groups: subject 236
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## lockdown 0.2922 NA NA NA
## dowMonday 0.1717 NA NA NA
## dowSaturday -0.1487 NA NA NA
## dowSunday -0.1209 NA NA NA
## dowThursday 0.2260 NA NA NA
## dowTuesday 0.4124 NA NA NA
## dowWednesday 0.1237 NA NA NA
##
## Threshold coefficients:
## Estimate Std. Error z value
## [0,10]|(10,20] -3.02200 NA NA
## (10,20]|(20,30] -1.82590 NA NA
## (20,30]|(30,40] -0.87130 NA NA
## (30,40]|(40,50] -0.01714 NA NA
## (40,50]|(50,60] 0.91868 NA NA
## (50,60]|(60,70] 2.13056 NA NA
## (60,70]|(70,80] 2.96730 NA NA
## (70,80]|(80,90] 4.00463 NA NA
## (80,90]|(90,100] 4.97155 NA NA
## (18455 observations deleted due to missingness)
PA ~ RE * Lockdown
## Cumulative Link Mixed Model fitted with the Laplace approximation
##
## formula: PA_avg ~ roaming_entropy * lockdown + dow + (1 | subject)
## data: df
##
## link threshold nobs logLik AIC niter max.grad cond.H
## logit flexible 8308 -16249.56 32537.12 4278(21866) 9.87e-03 1.0e+03
##
## Random effects:
## Groups Name Variance Std.Dev.
## subject (Intercept) 1.359 1.166
## Number of groups: subject 236
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## roaming_entropy 0.12437 0.03911 3.180 0.001471 **
## lockdown -0.42120 0.11024 -3.821 0.000133 ***
## dowMonday -0.23555 0.07373 -3.195 0.001399 **
## dowSaturday 0.30957 0.07785 3.976 7.00e-05 ***
## dowSunday 0.13724 0.07760 1.769 0.076957 .
## dowThursday -0.29237 0.07329 -3.989 6.63e-05 ***
## dowTuesday -0.47868 0.07300 -6.558 5.47e-11 ***
## dowWednesday -0.21529 0.07480 -2.878 0.003999 **
## roaming_entropy:lockdown 0.16380 0.04812 3.404 0.000663 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Threshold coefficients:
## Estimate Std. Error z value
## [0,10]|(10,20] -3.9592 0.1546 -25.609
## (10,20]|(20,30] -3.0851 0.1478 -20.872
## (20,30]|(30,40] -2.2447 0.1445 -15.529
## (30,40]|(40,50] -1.3707 0.1429 -9.592
## (40,50]|(50,60] -0.4242 0.1422 -2.984
## (50,60]|(60,70] 0.8240 0.1424 5.784
## (60,70]|(70,80] 1.7983 0.1439 12.500
## (70,80]|(80,90] 2.8832 0.1473 19.571
## (80,90]|(90,100] 4.2323 0.1588 26.646
## (20102 observations deleted due to missingness)

PA ~ NL * Lockdown
## Cumulative Link Mixed Model fitted with the Laplace approximation
##
## formula: PA_avg ~ novel_locations * lockdown + dow + (1 | subject)
## data: df
##
## link threshold nobs logLik AIC niter max.grad cond.H
## logit flexible 8086 -15775.64 31589.27 2660(16141) 8.34e-01 1.1e+06
##
## Random effects:
## Groups Name Variance Std.Dev.
## subject (Intercept) 1.361 1.167
## Number of groups: subject 236
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## novel_locations 0.0063522 0.0006263 10.142 < 2e-16 ***
## lockdown -0.2014057 0.0549524 -3.665 0.000247 ***
## dowMonday -0.2491418 0.0752903 -3.309 0.000936 ***
## dowSaturday 0.2118103 0.0784024 2.702 0.006901 **
## dowSunday 0.1085526 0.0777836 1.396 0.162843
## dowThursday -0.2871367 0.0748445 -3.836 0.000125 ***
## dowTuesday -0.4417880 0.0747108 -5.913 0.00000000335 ***
## dowWednesday -0.1591567 0.0771397 -2.063 0.039091 *
## novel_locations:lockdown -0.0027363 0.0007858 -3.482 0.000497 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Threshold coefficients:
## Estimate Std. Error z value
## [0,10]|(10,20] -3.9705 0.1220 -32.540
## (10,20]|(20,30] -3.0987 0.1131 -27.409
## (20,30]|(30,40] -2.2538 0.1087 -20.740
## (30,40]|(40,50] -1.3759 0.1064 -12.932
## (40,50]|(50,60] -0.4265 0.1053 -4.048
## (50,60]|(60,70] 0.8308 0.1057 7.860
## (60,70]|(70,80] 1.8209 0.1077 16.911
## (70,80]|(80,90] 2.9035 0.1125 25.819
## (80,90]|(90,100] 4.2584 0.1276 33.361
## (20324 observations deleted due to missingness)

PA ~ RE * Pre_COVID_RE Post-Lockdown
## Cumulative Link Mixed Model fitted with the Laplace approximation
##
## formula: PA_avg ~ roaming_entropy * pre_covid_re + dow + (1 | subject)
## data: lockdown_df
##
## link threshold nobs logLik AIC niter max.grad cond.H
## logit flexible 4556 -8810.91 17659.82 3753(32356) 3.47e-03 3.1e+04
##
## Random effects:
## Groups Name Variance Std.Dev.
## subject (Intercept) 1.994 1.412
## Number of groups: subject 236
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## roaming_entropy 0.41364 0.21837 1.894 0.058194 .
## pre_covid_re 0.11978 0.26786 0.447 0.654747
## dowMonday -0.37959 0.09852 -3.853 0.000117 ***
## dowSaturday -0.03895 0.10498 -0.371 0.710625
## dowSunday 0.17553 0.09906 1.772 0.076399 .
## dowThursday -0.28408 0.09609 -2.957 0.003111 **
## dowTuesday -0.30376 0.10087 -3.011 0.002601 **
## dowWednesday 0.12396 0.09641 1.286 0.198529
## roaming_entropy:pre_covid_re -0.04306 0.08957 -0.481 0.630678
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Threshold coefficients:
## Estimate Std. Error z value
## [0,10]|(10,20] -3.3483 0.6418 -5.217
## (10,20]|(20,30] -2.4785 0.6396 -3.875
## (20,30]|(30,40] -1.6593 0.6388 -2.598
## (30,40]|(40,50] -0.7291 0.6384 -1.142
## (40,50]|(50,60] 0.2886 0.6384 0.452
## (50,60]|(60,70] 1.6208 0.6388 2.537
## (60,70]|(70,80] 2.6495 0.6396 4.142
## (70,80]|(80,90] 3.7752 0.6416 5.884
## (80,90]|(90,100] 5.1689 0.6476 7.982
## (14522 observations deleted due to missingness)

PA ~ NL * Pre_COVID_RE Post-Lockdown
## Cumulative Link Mixed Model fitted with the Laplace approximation
##
## formula: PA_avg ~ novel_locations * pre_covid_re + dow + (1 | subject)
## data: lockdown_df
##
## link threshold nobs logLik AIC niter max.grad cond.H
## logit flexible 4556 -8993.01 18024.01 817(4087) 4.95e+02 6.6e+07
##
## Random effects:
## Groups Name Variance Std.Dev.
## subject (Intercept) 1 1
## Number of groups: subject 236
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## novel_locations 0.011499 0.003496 3.289 0.001006 **
## pre_covid_re 0.117549 0.187927 0.626 0.531639
## dowMonday -0.332935 0.092793 -3.588 0.000333 ***
## dowSaturday -0.021012 0.099129 -0.212 0.832136
## dowSunday 0.144371 0.093375 1.546 0.122072
## dowThursday -0.222938 0.090897 -2.453 0.014181 *
## dowTuesday -0.262301 0.095299 -2.752 0.005916 **
## dowWednesday 0.128279 0.091042 1.409 0.158832
## novel_locations:pre_covid_re -0.003447 0.001384 -2.490 0.012769 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Threshold coefficients:
## Estimate Std. Error z value
## [0,10]|(10,20] -2.7999 0.4544 -6.161
## (10,20]|(20,30] -2.0566 0.4521 -4.548
## (20,30]|(30,40] -1.3826 0.4512 -3.064
## (30,40]|(40,50] -0.6443 0.4508 -1.429
## (40,50]|(50,60] 0.1403 0.4507 0.311
## (50,60]|(60,70] 1.1442 0.4509 2.537
## (60,70]|(70,80] 1.9148 0.4514 4.241
## (70,80]|(80,90] 2.7849 0.4529 6.150
## (80,90]|(90,100] 3.8700 0.4577 8.456
## (14522 observations deleted due to missingness)

Notch Analysis
## Cumulative Link Mixed Model fitted with the Laplace approximation
##
## formula: PA_avg ~ bs(novel_locations, knots = c(1, 26), degree = 1) +
## dow + (1 | subject)
## data: prelockdown_df
##
## link threshold nobs logLik AIC niter max.grad cond.H
## logit flexible 3530 -6852.78 13743.56 3062(16012) 5.45e-03 2.1e+03
##
## Random effects:
## Groups Name Variance Std.Dev.
## subject (Intercept) 1.357 1.165
## Number of groups: subject 236
##
## Coefficients:
## Estimate Std. Error z value
## bs(novel_locations, knots = c(1, 26), degree = 1)1 0.14822 0.28193 0.526
## bs(novel_locations, knots = c(1, 26), degree = 1)2 0.26745 0.26655 1.003
## bs(novel_locations, knots = c(1, 26), degree = 1)3 6.70727 0.76552 8.762
## dowMonday -0.05180 0.12148 -0.426
## dowSaturday 0.45573 0.12275 3.713
## dowSunday 0.02927 0.13043 0.224
## dowThursday -0.29902 0.12232 -2.445
## dowTuesday -0.57303 0.11691 -4.901
## dowWednesday -0.74061 0.13134 -5.639
## Pr(>|z|)
## bs(novel_locations, knots = c(1, 26), degree = 1)1 0.599089
## bs(novel_locations, knots = c(1, 26), degree = 1)2 0.315674
## bs(novel_locations, knots = c(1, 26), degree = 1)3 < 2e-16 ***
## dowMonday 0.669816
## dowSaturday 0.000205 ***
## dowSunday 0.822409
## dowThursday 0.014503 *
## dowTuesday 0.0000009514 ***
## dowWednesday 0.0000000171 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Threshold coefficients:
## Estimate Std. Error z value
## [0,10]|(10,20] -4.2726 0.3123 -13.681
## (10,20]|(20,30] -3.2533 0.2982 -10.911
## (20,30]|(30,40] -2.2393 0.2920 -7.669
## (30,40]|(40,50] -1.3312 0.2896 -4.596
## (40,50]|(50,60] -0.3700 0.2888 -1.281
## (50,60]|(60,70] 0.9243 0.2891 3.198
## (60,70]|(70,80] 1.9548 0.2907 6.725
## (70,80]|(80,90] 3.0623 0.2944 10.401
## (80,90]|(90,100] 4.4502 0.3067 14.511
## (5802 observations deleted due to missingness)
## Cumulative Link Mixed Model fitted with the Laplace approximation
##
## formula: PA_avg ~ bs(novel_locations, knots = c(1, 26), degree = 1) +
## dow + (1 | subject)
## data: lockdown_df
##
## link threshold nobs logLik AIC niter max.grad cond.H
## logit flexible 4556 -8808.22 17654.44 2685(22053) 4.41e+00 NaN
##
## Random effects:
## Groups Name Variance Std.Dev.
## subject (Intercept) 1.99 1.411
## Number of groups: subject 236
##
## Coefficients:
## Estimate Std. Error z value
## bs(novel_locations, knots = c(1, 26), degree = 1)1 0.14756 NA NA
## bs(novel_locations, knots = c(1, 26), degree = 1)2 0.63107 NA NA
## bs(novel_locations, knots = c(1, 26), degree = 1)3 2.07255 NA NA
## dowMonday -0.37882 NA NA
## dowSaturday -0.05126 NA NA
## dowSunday 0.17391 NA NA
## dowThursday -0.28448 NA NA
## dowTuesday -0.31434 NA NA
## dowWednesday 0.13007 NA NA
## Pr(>|z|)
## bs(novel_locations, knots = c(1, 26), degree = 1)1 NA
## bs(novel_locations, knots = c(1, 26), degree = 1)2 NA
## bs(novel_locations, knots = c(1, 26), degree = 1)3 NA
## dowMonday NA
## dowSaturday NA
## dowSunday NA
## dowThursday NA
## dowTuesday NA
## dowWednesday NA
##
## Threshold coefficients:
## Estimate Std. Error z value
## [0,10]|(10,20] -3.60921 NA NA
## (10,20]|(20,30] -2.74165 NA NA
## (20,30]|(30,40] -1.92343 NA NA
## (30,40]|(40,50] -0.99269 NA NA
## (40,50]|(50,60] 0.02749 NA NA
## (50,60]|(60,70] 1.36161 NA NA
## (60,70]|(70,80] 2.38972 NA NA
## (70,80]|(80,90] 3.51207 NA NA
## (80,90]|(90,100] 4.90070 NA NA
## (14522 observations deleted due to missingness)
## Cumulative Link Mixed Model fitted with the Laplace approximation
##
## formula: PA_avg ~ bs(novel_locations, knots = c(1, 26), degree = 1) *
## lockdown + dow + (1 | subject)
## data: df
##
## link threshold nobs logLik AIC niter max.grad cond.H
## logit flexible 8086 -15755.07 31556.13 4929(29501) 1.79e-02 6.9e+03
##
## Random effects:
## Groups Name Variance Std.Dev.
## subject (Intercept) 1.364 1.168
## Number of groups: subject 236
##
## Coefficients:
## Estimate Std. Error
## bs(novel_locations, knots = c(1, 26), degree = 1)1 -0.05090 0.26158
## bs(novel_locations, knots = c(1, 26), degree = 1)2 -0.06614 0.24390
## bs(novel_locations, knots = c(1, 26), degree = 1)3 6.83824 0.72495
## lockdown -0.59507 0.24169
## dowMonday -0.22060 0.07544
## dowSaturday 0.20926 0.07865
## dowSunday 0.10754 0.07821
## dowThursday -0.26966 0.07488
## dowTuesday -0.43577 0.07482
## dowWednesday -0.14537 0.07721
## bs(novel_locations, knots = c(1, 26), degree = 1)1:lockdown 0.17967 0.27279
## bs(novel_locations, knots = c(1, 26), degree = 1)2:lockdown 0.60059 0.25118
## bs(novel_locations, knots = c(1, 26), degree = 1)3:lockdown -4.60958 0.89883
## z value
## bs(novel_locations, knots = c(1, 26), degree = 1)1 -0.195
## bs(novel_locations, knots = c(1, 26), degree = 1)2 -0.271
## bs(novel_locations, knots = c(1, 26), degree = 1)3 9.433
## lockdown -2.462
## dowMonday -2.924
## dowSaturday 2.661
## dowSunday 1.375
## dowThursday -3.601
## dowTuesday -5.824
## dowWednesday -1.883
## bs(novel_locations, knots = c(1, 26), degree = 1)1:lockdown 0.659
## bs(novel_locations, knots = c(1, 26), degree = 1)2:lockdown 2.391
## bs(novel_locations, knots = c(1, 26), degree = 1)3:lockdown -5.128
## Pr(>|z|)
## bs(novel_locations, knots = c(1, 26), degree = 1)1 0.845722
## bs(novel_locations, knots = c(1, 26), degree = 1)2 0.786260
## bs(novel_locations, knots = c(1, 26), degree = 1)3 < 2e-16 ***
## lockdown 0.013811 *
## dowMonday 0.003453 **
## dowSaturday 0.007799 **
## dowSunday 0.169140
## dowThursday 0.000317 ***
## dowTuesday 0.00000000574 ***
## dowWednesday 0.059741 .
## bs(novel_locations, knots = c(1, 26), degree = 1)1:lockdown 0.510123
## bs(novel_locations, knots = c(1, 26), degree = 1)2:lockdown 0.016801 *
## bs(novel_locations, knots = c(1, 26), degree = 1)3:lockdown 0.00000029222 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Threshold coefficients:
## Estimate Std. Error z value
## [0,10]|(10,20] -4.1535 0.2652 -15.660
## (10,20]|(20,30] -3.2812 0.2609 -12.575
## (20,30]|(30,40] -2.4345 0.2588 -9.405
## (30,40]|(40,50] -1.5537 0.2578 -6.027
## (40,50]|(50,60] -0.6007 0.2574 -2.334
## (50,60]|(60,70] 0.6605 0.2575 2.565
## (60,70]|(70,80] 1.6532 0.2583 6.401
## (70,80]|(80,90] 2.7381 0.2603 10.520
## (80,90]|(90,100] 4.0948 0.2672 15.324
## (20324 observations deleted due to missingness)

## Cumulative Link Mixed Model fitted with the Laplace approximation
##
## formula: PA_avg ~ bs(novel_locations, knots = c(1, 26), degree = 1) *
## lockdown + dow + (1 | subject)
## data: distance_less_than_100_km
##
## link threshold nobs logLik AIC niter max.grad cond.H
## logit flexible 7644 -14838.68 29723.36 4749(28820) 7.51e-03 4.7e+03
##
## Random effects:
## Groups Name Variance Std.Dev.
## subject (Intercept) 1.431 1.196
## Number of groups: subject 236
##
## Coefficients:
## Estimate
## bs(novel_locations, knots = c(1, 26), degree = 1)1 -0.002889
## bs(novel_locations, knots = c(1, 26), degree = 1)2 -0.114367
## bs(novel_locations, knots = c(1, 26), degree = 1)3 2.484619
## lockdown -0.580866
## dowMonday -0.215589
## dowSaturday 0.241150
## dowSunday 0.134360
## dowThursday -0.251194
## dowTuesday -0.398895
## dowWednesday -0.199813
## bs(novel_locations, knots = c(1, 26), degree = 1)1:lockdown 0.163183
## bs(novel_locations, knots = c(1, 26), degree = 1)2:lockdown 0.556994
## bs(novel_locations, knots = c(1, 26), degree = 1)3:lockdown -0.337451
## Std. Error z value
## bs(novel_locations, knots = c(1, 26), degree = 1)1 0.263063 -0.011
## bs(novel_locations, knots = c(1, 26), degree = 1)2 0.246214 -0.465
## bs(novel_locations, knots = c(1, 26), degree = 1)3 0.375981 6.608
## lockdown 0.242900 -2.391
## dowMonday 0.077646 -2.777
## dowSaturday 0.081941 2.943
## dowSunday 0.081569 1.647
## dowThursday 0.077012 -3.262
## dowTuesday 0.076999 -5.181
## dowWednesday 0.079387 -2.517
## bs(novel_locations, knots = c(1, 26), degree = 1)1:lockdown 0.274367 0.595
## bs(novel_locations, knots = c(1, 26), degree = 1)2:lockdown 0.255266 2.182
## bs(novel_locations, knots = c(1, 26), degree = 1)3:lockdown 0.513607 -0.657
## Pr(>|z|)
## bs(novel_locations, knots = c(1, 26), degree = 1)1 0.99124
## bs(novel_locations, knots = c(1, 26), degree = 1)2 0.64229
## bs(novel_locations, knots = c(1, 26), degree = 1)3 3.89e-11 ***
## lockdown 0.01679 *
## dowMonday 0.00549 **
## dowSaturday 0.00325 **
## dowSunday 0.09952 .
## dowThursday 0.00111 **
## dowTuesday 2.21e-07 ***
## dowWednesday 0.01184 *
## bs(novel_locations, knots = c(1, 26), degree = 1)1:lockdown 0.55200
## bs(novel_locations, knots = c(1, 26), degree = 1)2:lockdown 0.02911 *
## bs(novel_locations, knots = c(1, 26), degree = 1)3:lockdown 0.51117
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Threshold coefficients:
## Estimate Std. Error z value
## [0,10]|(10,20] -4.1937 0.2681 -15.640
## (10,20]|(20,30] -3.2861 0.2635 -12.474
## (20,30]|(30,40] -2.4203 0.2613 -9.264
## (30,40]|(40,50] -1.5312 0.2602 -5.885
## (40,50]|(50,60] -0.5719 0.2598 -2.202
## (50,60]|(60,70] 0.7077 0.2599 2.723
## (60,70]|(70,80] 1.7197 0.2608 6.594
## (70,80]|(80,90] 2.8189 0.2631 10.715
## (80,90]|(90,100] 4.2072 0.2711 15.517
## (20766 observations deleted due to missingness)

## df BIC
## PA_NL_PreLD_notch 19 13860.78
## PA_NL_PostLD_notch 19 17776.50
## PA_NL_LD_notch 23 31717.08
## PA_NL_LD_notch_controldistance_100KM 23 29883.02
Z Notch Analysis
## Cumulative Link Mixed Model fitted with the Laplace approximation
##
## formula:
## PA_avg ~ bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1) *
## lockdown + dow + (1 | subject)
## data: distance_less_than_100_km
##
## link threshold nobs logLik AIC niter max.grad cond.H
## logit flexible 7644 -14844.04 29734.09 5105(31050) 2.10e-02 1.8e+04
##
## Random effects:
## Groups Name Variance Std.Dev.
## subject (Intercept) 1.435 1.198
## Number of groups: subject 236
##
## Coefficients:
## Estimate
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)1 0.26912
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)2 0.12593
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)3 2.50361
## lockdown -0.44057
## dowMonday -0.22305
## dowSaturday 0.23386
## dowSunday 0.13367
## dowThursday -0.25754
## dowTuesday -0.40409
## dowWednesday -0.20535
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)1:lockdown -0.02012
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)2:lockdown 0.39135
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)3:lockdown -0.26156
## Std. Error
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)1 0.52958
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)2 0.47733
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)3 0.56121
## lockdown 0.50918
## dowMonday 0.07759
## dowSaturday 0.08196
## dowSunday 0.08142
## dowThursday 0.07703
## dowTuesday 0.07697
## dowWednesday 0.07935
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)1:lockdown 0.56945
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)2:lockdown 0.51040
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)3:lockdown 0.67927
## z value
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)1 0.508
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)2 0.264
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)3 4.461
## lockdown -0.865
## dowMonday -2.875
## dowSaturday 2.853
## dowSunday 1.642
## dowThursday -3.343
## dowTuesday -5.250
## dowWednesday -2.588
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)1:lockdown -0.035
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)2:lockdown 0.767
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)3:lockdown -0.385
## Pr(>|z|)
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)1 0.611327
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)2 0.791920
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)3 0.000008155
## lockdown 0.386904
## dowMonday 0.004044
## dowSaturday 0.004327
## dowSunday 0.100640
## dowThursday 0.000828
## dowTuesday 0.000000152
## dowWednesday 0.009662
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)1:lockdown 0.971812
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)2:lockdown 0.443233
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)3:lockdown 0.700196
##
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)1
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)2
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)3 ***
## lockdown
## dowMonday **
## dowSaturday **
## dowSunday
## dowThursday ***
## dowTuesday ***
## dowWednesday **
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)1:lockdown
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)2:lockdown
## bs(within_subjects_z_NL, knots = c(-0.725, -0.3), degree = 1)3:lockdown
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Threshold coefficients:
## Estimate Std. Error z value
## [0,10]|(10,20] -3.9454 0.4920 -8.019
## (10,20]|(20,30] -3.0380 0.4895 -6.206
## (20,30]|(30,40] -2.1725 0.4885 -4.447
## (30,40]|(40,50] -1.2841 0.4881 -2.631
## (40,50]|(50,60] -0.3260 0.4879 -0.668
## (50,60]|(60,70] 0.9527 0.4878 1.953
## (60,70]|(70,80] 1.9639 0.4883 4.022
## (70,80]|(80,90] 3.0623 0.4896 6.255
## (80,90]|(90,100] 4.4490 0.4942 9.002
## (20766 observations deleted due to missingness)

## Cumulative Link Mixed Model fitted with the Laplace approximation
##
## formula: PA_avg ~ bs(within_subjects_lockdown_z_NL, knots = c(-0.725,
## -0.3), degree = 1) * lockdown + dow + (1 | subject)
## data: distance_less_than_100_km
##
## link threshold nobs logLik AIC niter max.grad cond.H
## logit flexible 7638 -14856.10 29758.19 5495(33514) 1.44e-02 1.7e+04
##
## Random effects:
## Groups Name Variance Std.Dev.
## subject (Intercept) 1.425 1.194
## Number of groups: subject 236
##
## Coefficients:
## Estimate
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)1 -0.08124
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)2 -0.14355
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)3 3.83037
## lockdown -0.20602
## dowMonday -0.27107
## dowSaturday 0.19699
## dowSunday 0.10853
## dowThursday -0.28032
## dowTuesday -0.43227
## dowWednesday -0.21441
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)1:lockdown -0.21374
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)2:lockdown -0.00786
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)3:lockdown -2.43922
## Std. Error
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)1 0.49340
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)2 0.45358
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)3 0.66788
## lockdown 0.53916
## dowMonday 0.07745
## dowSaturday 0.08199
## dowSunday 0.08148
## dowThursday 0.07696
## dowTuesday 0.07685
## dowWednesday 0.07953
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)1:lockdown 0.58862
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)2:lockdown 0.53749
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)3:lockdown 0.81966
## z value
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)1 -0.165
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)2 -0.316
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)3 5.735
## lockdown -0.382
## dowMonday -3.500
## dowSaturday 2.403
## dowSunday 1.332
## dowThursday -3.643
## dowTuesday -5.625
## dowWednesday -2.696
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)1:lockdown -0.363
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)2:lockdown -0.015
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)3:lockdown -2.976
## Pr(>|z|)
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)1 0.869224
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)2 0.751632
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)3 0.00000000975
## lockdown 0.702379
## dowMonday 0.000465
## dowSaturday 0.016277
## dowSunday 0.182894
## dowThursday 0.000270
## dowTuesday 0.00000001857
## dowWednesday 0.007015
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)1:lockdown 0.716511
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)2:lockdown 0.988333
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)3:lockdown 0.002922
##
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)1
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)2
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)3 ***
## lockdown
## dowMonday ***
## dowSaturday *
## dowSunday
## dowThursday ***
## dowTuesday ***
## dowWednesday **
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)1:lockdown
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)2:lockdown
## bs(within_subjects_lockdown_z_NL, knots = c(-0.725, -0.3), degree = 1)3:lockdown **
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Threshold coefficients:
## Estimate Std. Error z value
## [0,10]|(10,20] -4.2909 0.4696 -9.138
## (10,20]|(20,30] -3.3816 0.4671 -7.240
## (20,30]|(30,40] -2.5168 0.4659 -5.402
## (30,40]|(40,50] -1.6308 0.4654 -3.504
## (40,50]|(50,60] -0.6772 0.4652 -1.456
## (50,60]|(60,70] 0.5961 0.4652 1.282
## (60,70]|(70,80] 1.6053 0.4655 3.448
## (70,80]|(80,90] 2.7009 0.4666 5.788
## (80,90]|(90,100] 4.0796 0.4712 8.659
## (20772 observations deleted due to missingness)

Symptom Analysis
## Cumulative Link Mixed Model fitted with the Laplace approximation
##
## formula: PA_avg ~ depression_mean * lockdown + (1 | subject)
## data: df
##
## link threshold nobs logLik AIC niter max.grad cond.H
## logit flexible 9955 -19453.44 38932.88 2171(13591) 1.01e-01 4.5e+03
##
## Random effects:
## Groups Name Variance Std.Dev.
## subject (Intercept) 1.162 1.078
## Number of groups: subject 236
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## depression_mean -0.089143 0.016053 -5.553 2.81e-08 ***
## lockdown -0.331617 0.053625 -6.184 6.25e-10 ***
## depression_mean:lockdown -0.021747 0.007882 -2.759 0.00579 **
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Threshold coefficients:
## Estimate Std. Error z value
## [0,10]|(10,20] -4.6106 0.1263 -36.494
## (10,20]|(20,30] -3.6993 0.1192 -31.028
## (20,30]|(30,40] -2.8563 0.1159 -24.655
## (30,40]|(40,50] -1.9846 0.1139 -17.420
## (40,50]|(50,60] -1.0373 0.1128 -9.199
## (50,60]|(60,70] 0.2212 0.1124 1.968
## (60,70]|(70,80] 1.1818 0.1134 10.426
## (70,80]|(80,90] 2.2378 0.1166 19.185
## (80,90]|(90,100] 3.5632 0.1286 27.711
## (18455 observations deleted due to missingness)

## Cumulative Link Mixed Model fitted with the Laplace approximation
##
## formula: PA_avg ~ novel_locations * depression_mean * lockdown + (1 |
## subject)
## data: df
##
## link threshold nobs logLik AIC niter max.grad cond.H
## logit flexible 8086 -15940.82 31915.63 645(3224) 2.81e+03 6.1e+07
##
## Random effects:
## Groups Name Variance Std.Dev.
## subject (Intercept) 1 1
## Number of groups: subject 236
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## novel_locations 0.0053521 0.0008554 6.257 3.93e-10
## depression_mean -0.0781051 0.0164256 -4.755 1.98e-06
## lockdown -0.0138463 0.0758490 -0.183 0.8552
## novel_locations:depression_mean 0.0001871 0.0001234 1.516 0.1295
## novel_locations:lockdown -0.0025709 0.0010793 -2.382 0.0172
## depression_mean:lockdown -0.0188872 0.0111142 -1.699 0.0892
## novel_locations:depression_mean:lockdown -0.0001197 0.0001578 -0.759 0.4480
##
## novel_locations ***
## depression_mean ***
## lockdown
## novel_locations:depression_mean
## novel_locations:lockdown *
## depression_mean:lockdown .
## novel_locations:depression_mean:lockdown
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Threshold coefficients:
## Estimate Std. Error z value
## [0,10]|(10,20] -3.6955 0.1288 -28.693
## (10,20]|(20,30] -2.8857 0.1215 -23.755
## (20,30]|(30,40] -2.1190 0.1180 -17.959
## (30,40]|(40,50] -1.3447 0.1162 -11.577
## (40,50]|(50,60] -0.5329 0.1153 -4.623
## (50,60]|(60,70] 0.5045 0.1154 4.373
## (60,70]|(70,80] 1.3017 0.1165 11.178
## (70,80]|(80,90] 2.1925 0.1194 18.370
## (80,90]|(90,100] 3.3359 0.1292 25.818
## (20324 observations deleted due to missingness)

## Cumulative Link Mixed Model fitted with the Laplace approximation
##
## formula: PA_avg ~ novel_locations * anx_change + (1 | subject)
## data: lockdown_df
##
## link threshold nobs logLik AIC niter max.grad cond.H
## logit flexible 4074 -7919.36 15864.72 1117(8236) 9.52e+00 5.0e+06
##
## Random effects:
## Groups Name Variance Std.Dev.
## subject (Intercept) 1.859 1.364
## Number of groups: subject 208
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## novel_locations 0.0043238 0.0005523 7.828 4.94e-15 ***
## anx_change -0.0359117 0.0248818 -1.443 0.149
## novel_locations:anx_change -0.0001893 0.0001420 -1.332 0.183
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Threshold coefficients:
## Estimate Std. Error z value
## [0,10]|(10,20] -3.7210 0.1326 -28.068
## (10,20]|(20,30] -2.8406 0.1188 -23.904
## (20,30]|(30,40] -2.0251 0.1113 -18.195
## (30,40]|(40,50] -1.1130 0.1064 -10.458
## (40,50]|(50,60] -0.1202 0.1042 -1.154
## (50,60]|(60,70] 1.2029 0.1052 11.431
## (60,70]|(70,80] 2.2445 0.1103 20.345
## (70,80]|(80,90] 3.3316 0.1223 27.232
## (80,90]|(90,100] 4.7250 0.1573 30.040
## (15004 observations deleted due to missingness)

## [1] "BIC: DEP_on_PA_by_lockdown, NL_on_PA_by_DEP_by_lockdown, NL_on_PA_by_anxiety_change"
## df BIC
## d1 13 39026.56
## d2 17 32034.59
## d3 13 15946.79
BIC Analysis
## df BIC
## complex_PA_RE 21 14970.91
## simple_PA_RE 17 14819.27
## complex_PA_NL 21 13858.45
## simple_PA_NL 17 13844.72
## RE_LD 10 56402.75
## NL_LD 10 226431.02
## PA_LD 17 38946.92
## NA_LD 17 38567.05
## PA_RE_LD 19 32670.59
## PA_NL_LD 19 31722.23
## PA_RE_PreLDRE_PostLD 19 17781.88
## PA_RE_PreLDNL_PostLD 19 18146.07
## PA_NL_PreLD_notch 19 13860.78
## PA_NL_PostLD_notch 19 17776.50
## PA_NL_LD_notch 23 31717.08
## PA_NL_LD_notch_controldistance_100KM 23 29883.02
## Z_within_sub 23 29893.75
## Z_within_sub_LD 23 29917.83
## d1 13 39026.56
## d2 17 32034.59
## d3 13 15946.79