##
## ANOVA
##
## ANOVA - mundst
## ────────────────────────────────────────────────────────────────────────────────
## Sum of Squares df Mean Square F p
## ────────────────────────────────────────────────────────────────────────────────
## group 343.2054 4 85.8013414 270.4139 < .0000001
## Residuals 839.2490 2645 0.3172964
## ────────────────────────────────────────────────────────────────────────────────
##
##
## POST HOC TESTS
##
## Post Hoc Comparisons - group
## ────────────────────────────────────────────────────────────────────────────────────────────────
## group group Mean Difference SE df t p-tukey
## ────────────────────────────────────────────────────────────────────────────────────────────────
## 1 - 2 -0.82665128 0.06300572 2645.000 -13.120257 < .0000001
## - 3 -1.28982183 0.06088360 2645.000 -21.185045 < .0000001
## - 4 -0.37242999 0.06903763 2645.000 -5.394594 0.0000007
## - 5 -0.74606054 0.07059359 2645.000 -10.568390 < .0000001
## 2 - 3 -0.46317055 0.02651389 2645.000 -17.468977 < .0000001
## - 4 0.45422129 0.04198057 2645.000 10.819798 < .0000001
## - 5 0.08059074 0.04449302 2645.000 1.811312 0.3671234
## 3 - 4 0.91739184 0.03872286 2645.000 23.691220 < .0000001
## - 5 0.54376129 0.04143332 2645.000 13.123767 < .0000001
## 4 - 5 -0.37363055 0.05268873 2645.000 -7.091281 < .0000001
## ────────────────────────────────────────────────────────────────────────────────────────────────
## Note. Comparisons are based on estimated marginal means
##
##
## ESTIMATED MARGINAL MEANS
##
## GROUP
##
## Estimated Marginal Means - group
## ───────────────────────────────────────────────────────────
## group Mean SE Lower Upper
## ───────────────────────────────────────────────────────────
## 1 2.494505 0.05904891 2.378719 2.610292
## 2 3.321157 0.02197606 3.278065 3.364249
## 3 3.784327 0.01483372 3.755240 3.813414
## 4 2.866935 0.03576899 2.796797 2.937074
## 5 3.240566 0.03868696 3.164706 3.316426
## ───────────────────────────────────────────────────────────
##
## ANOVA
##
## ANOVA - mrely
## ──────────────────────────────────────────────────────────────────────────────────
## Sum of Squares df Mean Square F p
## ──────────────────────────────────────────────────────────────────────────────────
## group 604.48446 4 151.121115380 31886.95 < .0000001
## Residuals 12.55435 2649 0.004739278
## ──────────────────────────────────────────────────────────────────────────────────
##
##
## POST HOC TESTS
##
## Post Hoc Comparisons - group
## ────────────────────────────────────────────────────────────────────────────────────────────────────
## group group Mean Difference SE df t p-tukey
## ────────────────────────────────────────────────────────────────────────────────────────────────────
## 1 - 2 -2.163043 0.007664098 2649.000 -282.2307 < .0000001
## - 3 -2.163043 0.007402582 2649.000 -292.2012 < .0000001
## - 4 -1.163043 0.008394701 2649.000 -138.5450 < .0000001
## - 5 -2.163043 0.008588599 2649.000 -251.8506 < .0000001
## 2 - 3 -1.865175e-14 0.003241733 2649.000 -5.753635e-12 1.0000000
## - 4 1.000000 0.005116798 2649.000 195.4347 < .0000001
## - 5 -9.586776e-14 0.005429055 2649.000 -1.765828e-11 1.0000000
## 3 - 4 1.000000 0.004716083 2649.000 212.0404 < .0000001
## - 5 -7.721601e-14 0.005053163 2649.000 -1.528073e-11 1.0000000
## 4 - 5 -1.000000 0.006419287 2649.000 -155.7805 < .0000001
## ────────────────────────────────────────────────────────────────────────────────────────────────────
## Note. Comparisons are based on estimated marginal means
##
##
## ESTIMATED MARGINAL MEANS
##
## GROUP
##
## Estimated Marginal Means - group
## ────────────────────────────────────────────────────────────
## group Mean SE Lower Upper
## ────────────────────────────────────────────────────────────
## 1 1.836957 0.007177318 1.822883 1.851030
## 2 4.000000 0.002687845 3.994730 4.005270
## 3 4.000000 0.001812270 3.996446 4.003554
## 4 3.000000 0.004353977 2.991462 3.008538
## 5 4.000000 0.004717005 3.990751 4.009249
## ────────────────────────────────────────────────────────────
##
## ANOVA
##
## ANOVA - mopen
## ────────────────────────────────────────────────────────────────────────────────
## Sum of Squares df Mean Square F p
## ────────────────────────────────────────────────────────────────────────────────
## group 408.8671 4 102.2167805 319.8520 < .0000001
## Residuals 845.9157 2647 0.3195752
## ────────────────────────────────────────────────────────────────────────────────
##
##
## POST HOC TESTS
##
## Post Hoc Comparisons - group
## ────────────────────────────────────────────────────────────────────────────────────────────────
## group group Mean Difference SE df t p-tukey
## ────────────────────────────────────────────────────────────────────────────────────────────────
## 1 - 2 -1.3421175 0.06294081 2647.000 -21.323487 < .0000001
## - 3 -1.6527166 0.06078868 2647.000 -27.187902 < .0000001
## - 4 -0.6820870 0.06893435 2647.000 -9.894732 < .0000001
## - 5 -1.2392325 0.07052657 2647.000 -17.571143 < .0000001
## 2 - 3 -0.3105991 0.02663683 2647.000 -11.660516 < .0000001
## - 4 0.6600305 0.04202621 2647.000 15.705213 < .0000001
## - 5 0.1028850 0.04458985 2647.000 2.307364 0.1427571
## 3 - 4 0.9706297 0.03872881 2647.000 25.062215 < .0000001
## - 5 0.4134841 0.04149666 2647.000 9.964275 < .0000001
## 4 - 5 -0.5571455 0.05271294 2647.000 -10.569426 < .0000001
## ────────────────────────────────────────────────────────────────────────────────────────────────
## Note. Comparisons are based on estimated marginal means
##
##
## ESTIMATED MARGINAL MEANS
##
## GROUP
##
## Estimated Marginal Means - group
## ───────────────────────────────────────────────────────────
## group Mean SE Lower Upper
## ───────────────────────────────────────────────────────────
## 1 2.173913 0.05893763 2.058345 2.289482
## 2 3.516031 0.02208848 3.472718 3.559343
## 3 3.826630 0.01488689 3.797439 3.855821
## 4 2.856000 0.03575334 2.785893 2.926107
## 5 3.413146 0.03873439 3.337193 3.489098
## ───────────────────────────────────────────────────────────
##
## ANOVA
##
## ANOVA - mdemand
## ────────────────────────────────────────────────────────────────────────────────
## Sum of Squares df Mean Square F p
## ────────────────────────────────────────────────────────────────────────────────
## group 327.6969 4 81.9242224 133.5736 < .0000001
## Residuals 1622.2488 2645 0.6133266
## ────────────────────────────────────────────────────────────────────────────────
##
##
## POST HOC TESTS
##
## Post Hoc Comparisons - group
## ──────────────────────────────────────────────────────────────────────────────────────────────────
## group group Mean Difference SE df t p-tukey
## ──────────────────────────────────────────────────────────────────────────────────────────────────
## 1 - 2 0.222804718 0.08762226 2645.000 2.54278669 0.0817083
## - 3 0.880027739 0.08464740 2645.000 10.39639381 < .0000001
## - 4 0.003428571 0.09588096 2645.000 0.03575863 0.9999996
## - 5 0.519785379 0.09807813 2645.000 5.29970720 0.0000012
## 2 - 3 0.657223021 0.03692071 2645.000 17.80093211 < .0000001
## - 4 -0.219376147 0.05823328 2645.000 -3.76719567 0.0015824
## - 5 0.296980661 0.06178411 2645.000 4.80674859 0.0000160
## 3 - 4 -0.876599168 0.05365293 2645.000 -16.33832838 < .0000001
## - 5 -0.360242360 0.05748737 2645.000 -6.26646075 < .0000001
## 4 - 5 0.516356808 0.07302584 2645.000 7.07087775 < .0000001
## ──────────────────────────────────────────────────────────────────────────────────────────────────
## Note. Comparisons are based on estimated marginal means
##
##
## ESTIMATED MARGINAL MEANS
##
## GROUP
##
## Estimated Marginal Means - group
## ───────────────────────────────────────────────────────────
## group Mean SE Lower Upper
## ───────────────────────────────────────────────────────────
## 1 2.571429 0.08209660 2.410449 2.732409
## 2 2.348624 0.03062365 2.288575 2.408673
## 3 1.691401 0.02062354 1.650961 1.731841
## 4 2.568000 0.04953086 2.470877 2.665123
## 5 2.051643 0.05366067 1.946422 2.156864
## ───────────────────────────────────────────────────────────
##
## ANOVA
##
## ANOVA - mcrit
## ────────────────────────────────────────────────────────────────────────────────
## Sum of Squares df Mean Square F p
## ────────────────────────────────────────────────────────────────────────────────
## group 348.2771 4 87.0692794 146.6694 < .0000001
## Residuals 1567.2178 2640 0.5936431
## ────────────────────────────────────────────────────────────────────────────────
##
##
## POST HOC TESTS
##
## Post Hoc Comparisons - group
## ─────────────────────────────────────────────────────────────────────────────────────────────────
## group group Mean Difference SE df t p-tukey
## ─────────────────────────────────────────────────────────────────────────────────────────────────
## 1 - 2 0.10005318 0.08579250 2640.000 1.1662229 0.7706935
## - 3 0.80008466 0.08285812 2640.000 9.6560804 < .0000001
## - 4 -0.05329593 0.09405511 2640.000 -0.5666458 0.9798461
## - 5 0.21483976 0.09612335 2640.000 2.2350423 0.1671085
## 2 - 3 0.70003147 0.03633919 2640.000 19.2638165 < .0000001
## - 4 -0.15334912 0.05745810 2640.000 -2.6688859 0.0589302
## - 5 0.11478658 0.06078460 2640.000 1.8884154 0.3237624
## 3 - 4 -0.85338059 0.05297686 2640.000 -16.1085537 < .0000001
## - 5 -0.58524490 0.05656750 2640.000 -10.3459561 < .0000001
## 4 - 5 0.26813570 0.07197763 2640.000 3.7252644 0.0018613
## ─────────────────────────────────────────────────────────────────────────────────────────────────
## Note. Comparisons are based on estimated marginal means
##
##
## ESTIMATED MARGINAL MEANS
##
## GROUP
##
## Estimated Marginal Means - group
## ───────────────────────────────────────────────────────────
## group Mean SE Lower Upper
## ───────────────────────────────────────────────────────────
## 1 2.543478 0.08032834 2.385965 2.700991
## 2 2.443425 0.03012825 2.384348 2.502502
## 3 1.743394 0.02031811 1.703553 1.783235
## 4 2.596774 0.04892568 2.500838 2.692711
## 5 2.328638 0.05279258 2.225119 2.432158
## ───────────────────────────────────────────────────────────
##
## ANOVA
##
## ANOVA - mdown
## ────────────────────────────────────────────────────────────────────────────────
## Sum of Squares df Mean Square F p
## ────────────────────────────────────────────────────────────────────────────────
## group 394.0707 4 98.5176704 222.9446 < .0000001
## Residuals 1167.9233 2643 0.4418930
## ────────────────────────────────────────────────────────────────────────────────
##
##
## POST HOC TESTS
##
## Post Hoc Comparisons - group
## ────────────────────────────────────────────────────────────────────────────────────────────────
## group group Mean Difference SE df t p-tukey
## ────────────────────────────────────────────────────────────────────────────────────────────────
## 1 - 2 0.60110729 0.07436809 2643.000 8.082865 < .0000001
## - 3 1.19597197 0.07185141 2643.000 16.645074 < .0000001
## - 4 0.18007799 0.08147266 2643.000 2.210287 0.1760949
## - 5 0.69287520 0.08325012 2643.000 8.322813 < .0000001
## 2 - 3 0.59486468 0.03132576 2643.000 18.989635 < .0000001
## - 4 -0.42102930 0.04956281 2643.000 -8.494863 < .0000001
## - 5 0.09176791 0.05243340 2643.000 1.750181 0.4033197
## 3 - 4 -1.01589398 0.04569993 2643.000 -22.229660 < .0000001
## - 5 -0.50309677 0.04879828 2643.000 -10.309723 < .0000001
## 4 - 5 0.51279721 0.06210026 2643.000 8.257570 < .0000001
## ────────────────────────────────────────────────────────────────────────────────────────────────
## Note. Comparisons are based on estimated marginal means
##
##
## ESTIMATED MARGINAL MEANS
##
## GROUP
##
## Estimated Marginal Means - group
## ───────────────────────────────────────────────────────────
## group Mean SE Lower Upper
## ───────────────────────────────────────────────────────────
## 1 2.373626 0.06968477 2.236984 2.510269
## 2 1.772519 0.02597395 1.721588 1.823450
## 3 1.177654 0.01751163 1.143317 1.211992
## 4 2.193548 0.04221169 2.110777 2.276320
## 5 1.680751 0.04554794 1.591438 1.770064
## ───────────────────────────────────────────────────────────
##
## ANOVA
##
## ANOVA - mnerve
## ────────────────────────────────────────────────────────────────────────────────
## Sum of Squares df Mean Square F p
## ────────────────────────────────────────────────────────────────────────────────
## group 353.0075 4 88.2518782 191.1195 < .0000001
## Residuals 1224.5950 2652 0.4617628
## ────────────────────────────────────────────────────────────────────────────────
##
##
## POST HOC TESTS
##
## Post Hoc Comparisons - group
## ────────────────────────────────────────────────────────────────────────────────────────────────
## group group Mean Difference SE df t p-tukey
## ────────────────────────────────────────────────────────────────────────────────────────────────
## 1 - 2 0.2897227 0.07564388 2652.000 3.830088 0.0012363
## - 3 0.9696495 0.07306806 2652.000 13.270497 < .0000001
## - 4 0.1052174 0.08286261 2652.000 1.269781 0.7098670
## - 5 0.4670866 0.08471677 2652.000 5.513507 0.0000004
## 2 - 3 0.6799268 0.03197836 2652.000 21.262089 < .0000001
## - 4 -0.1845053 0.05049640 2652.000 -3.653831 0.0024433
## - 5 0.1773638 0.05348463 2652.000 3.316165 0.0082170
## 3 - 4 -0.8644321 0.04654924 2652.000 -18.570274 < .0000001
## - 5 -0.5025630 0.04977500 2652.000 -10.096695 < .0000001
## 4 - 5 0.3618692 0.06328366 2652.000 5.718208 0.0000001
## ────────────────────────────────────────────────────────────────────────────────────────────────
## Note. Comparisons are based on estimated marginal means
##
##
## ESTIMATED MARGINAL MEANS
##
## GROUP
##
## Estimated Marginal Means - group
## ───────────────────────────────────────────────────────────
## group Mean SE Lower Upper
## ───────────────────────────────────────────────────────────
## 1 2.565217 0.07084604 2.426298 2.704136
## 2 2.275495 0.02651104 2.223510 2.327479
## 3 1.595568 0.01788240 1.560503 1.630633
## 4 2.460000 0.04297734 2.375728 2.544272
## 5 2.098131 0.04645181 2.007045 2.189216
## ───────────────────────────────────────────────────────────
##
## ANOVA
##
## ANOVA - wundst
## ────────────────────────────────────────────────────────────────────────────────
## Sum of Squares df Mean Square F p
## ────────────────────────────────────────────────────────────────────────────────
## group 649.5948 4 162.3986891 406.8234 < .0000001
## Residuals 1051.8583 2635 0.3991872
## ────────────────────────────────────────────────────────────────────────────────
##
##
## POST HOC TESTS
##
## Post Hoc Comparisons - group
## ─────────────────────────────────────────────────────────────────────────────────────────────────
## group group Mean Difference SE df t p-tukey
## ─────────────────────────────────────────────────────────────────────────────────────────────────
## 1 - 2 -0.16897498 0.07069643 2635.000 -2.3901486 0.1182487
## - 3 -0.87545788 0.06829689 2635.000 -12.8184157 < .0000001
## - 4 -0.15188064 0.07752022 2635.000 -1.9592390 0.2864678
## - 5 0.73487076 0.07912516 2635.000 9.2874475 < .0000001
## 2 - 3 -0.70648290 0.02981786 2635.000 -23.6932797 < .0000001
## - 4 0.01709434 0.04726547 2635.000 0.3616665 0.9963497
## - 5 0.90384574 0.04985410 2635.000 18.1298185 < .0000001
## 3 - 4 0.72357724 0.04359477 2635.000 16.5977978 < .0000001
## - 5 1.61032864 0.04638869 2635.000 34.7138215 < .0000001
## 4 - 5 0.88675140 0.05913400 2635.000 14.9956257 < .0000001
## ─────────────────────────────────────────────────────────────────────────────────────────────────
## Note. Comparisons are based on estimated marginal means
##
##
## ESTIMATED MARGINAL MEANS
##
## GROUP
##
## Estimated Marginal Means - group
## ───────────────────────────────────────────────────────────
## group Mean SE Lower Upper
## ───────────────────────────────────────────────────────────
## 1 2.791209 0.06623196 2.661337 2.921081
## 2 2.960184 0.02472474 2.911702 3.008666
## 3 3.666667 0.01666710 3.633985 3.699349
## 4 2.943089 0.04028290 2.864100 3.022079
## 5 2.056338 0.04329109 1.971450 2.141226
## ───────────────────────────────────────────────────────────
##
## ANOVA
##
## ANOVA - wrely
## ────────────────────────────────────────────────────────────────────────────────
## Sum of Squares df Mean Square F p
## ────────────────────────────────────────────────────────────────────────────────
## group 514.0194 4 128.5048622 699.8680 < .0000001
## Residuals 485.6564 2645 0.1836130
## ────────────────────────────────────────────────────────────────────────────────
##
##
## POST HOC TESTS
##
## Post Hoc Comparisons - group
## ────────────────────────────────────────────────────────────────────────────────────────────────
## group group Mean Difference SE df t p-tukey
## ────────────────────────────────────────────────────────────────────────────────────────────────
## 1 - 2 -0.5034256 0.04840419 2645.000 -10.400455 < .0000001
## - 3 -0.6298666 0.04679888 2645.000 -13.459011 < .0000001
## - 4 -0.2364063 0.05291946 2645.000 -4.467285 0.0000807
## - 5 0.9940891 0.05415968 2645.000 18.354781 < .0000001
## 2 - 3 -0.1264410 0.02017339 2645.000 -6.267714 < .0000001
## - 4 0.2670193 0.03189513 2645.000 8.371788 < .0000001
## - 5 1.4975147 0.03391315 2645.000 44.157348 < .0000001
## 3 - 4 0.3934603 0.02940186 2645.000 13.382158 < .0000001
## - 5 1.6239558 0.03157961 2645.000 51.424191 < .0000001
## 4 - 5 1.2304954 0.04009496 2645.000 30.689533 < .0000001
## ────────────────────────────────────────────────────────────────────────────────────────────────
## Note. Comparisons are based on estimated marginal means
##
##
## ESTIMATED MARGINAL MEANS
##
## GROUP
##
## Estimated Marginal Means - group
## ───────────────────────────────────────────────────────────
## group Mean SE Lower Upper
## ───────────────────────────────────────────────────────────
## 1 3.325843 0.04542100 3.236778 3.414907
## 2 3.829268 0.01673015 3.796463 3.862074
## 3 3.955709 0.01127244 3.933606 3.977813
## 4 3.562249 0.02715514 3.509002 3.615496
## 5 2.331754 0.02949922 2.273910 2.389597
## ───────────────────────────────────────────────────────────
##
## ANOVA
##
## ANOVA - wopen
## ────────────────────────────────────────────────────────────────────────────────
## Sum of Squares df Mean Square F p
## ────────────────────────────────────────────────────────────────────────────────
## group 673.6271 4 168.4067651 436.1063 < .0000001
## Residuals 1020.6207 2643 0.3861599
## ────────────────────────────────────────────────────────────────────────────────
##
##
## POST HOC TESTS
##
## Post Hoc Comparisons - group
## ────────────────────────────────────────────────────────────────────────────────────────────────
## group group Mean Difference SE df t p-tukey
## ────────────────────────────────────────────────────────────────────────────────────────────────
## 1 - 2 -0.4029381 0.07019001 2643.000 -5.740676 0.0000001
## - 3 -0.9506351 0.06787382 2643.000 -14.005916 < .0000001
## - 4 -0.2572490 0.07678523 2643.000 -3.350241 0.0073115
## - 5 0.7892072 0.07843362 2643.000 10.062103 < .0000001
## 2 - 3 -0.5476970 0.02925308 2643.000 -18.722709 < .0000001
## - 4 0.1456891 0.04631262 2643.000 3.145775 0.0144551
## - 5 1.1921453 0.04899714 2643.000 24.330915 < .0000001
## 3 - 4 0.6933861 0.04272092 2643.000 16.230598 < .0000001
## - 5 1.7398422 0.04561730 2643.000 38.139967 < .0000001
## 4 - 5 1.0464562 0.05805216 2643.000 18.026135 < .0000001
## ────────────────────────────────────────────────────────────────────────────────────────────────
## Note. Comparisons are based on estimated marginal means
##
##
## ESTIMATED MARGINAL MEANS
##
## GROUP
##
## Estimated Marginal Means - group
## ───────────────────────────────────────────────────────────
## group Mean SE Lower Upper
## ───────────────────────────────────────────────────────────
## 1 2.831461 0.06587014 2.702298 2.960623
## 2 3.234399 0.02424381 3.186860 3.281938
## 3 3.782096 0.01637011 3.749996 3.814195
## 4 3.088710 0.03946006 3.011334 3.166085
## 5 2.042254 0.04257884 1.958762 2.125745
## ───────────────────────────────────────────────────────────
##
## ANOVA
##
## ANOVA - wdemand
## ────────────────────────────────────────────────────────────────────────────────
## Sum of Squares df Mean Square F p
## ────────────────────────────────────────────────────────────────────────────────
## group 501.4933 4 125.3733192 194.8866 < .0000001
## Residuals 1697.7060 2639 0.6433142
## ────────────────────────────────────────────────────────────────────────────────
##
##
## POST HOC TESTS
##
## Post Hoc Comparisons - group
## ─────────────────────────────────────────────────────────────────────────────────────────────────
## group group Mean Difference SE df t p-tukey
## ─────────────────────────────────────────────────────────────────────────────────────────────────
## 1 - 2 -0.04133713 0.09153183 2639.000 -0.4516148 0.9914197
## - 3 0.70659743 0.08854858 2639.000 7.9797712 < .0000001
## - 4 0.10873192 0.09994210 2639.000 1.0879491 0.8128522
## - 5 -0.60087013 0.10198312 2639.000 -5.8918587 < .0000001
## 2 - 3 0.74793456 0.03781662 2639.000 19.7779329 < .0000001
## - 4 0.15006905 0.05981362 2639.000 2.5089444 0.0889067
## - 5 -0.55953300 0.06316488 2639.000 -8.8582932 < .0000001
## 3 - 4 -0.59786551 0.05514023 2639.000 -10.8426378 < .0000001
## - 5 -1.30746756 0.05875863 2639.000 -22.2514976 < .0000001
## 4 - 5 -0.70960205 0.07483415 2639.000 -9.4823296 < .0000001
## ─────────────────────────────────────────────────────────────────────────────────────────────────
## Note. Comparisons are based on estimated marginal means
##
##
## ESTIMATED MARGINAL MEANS
##
## GROUP
##
## Estimated Marginal Means - group
## ───────────────────────────────────────────────────────────
## group Mean SE Lower Upper
## ───────────────────────────────────────────────────────────
## 1 2.310345 0.08599079 2.141729 2.478961
## 2 2.351682 0.03136337 2.290183 2.413181
## 3 1.603747 0.02112903 1.562316 1.645179
## 4 2.201613 0.05093141 2.101743 2.301482
## 5 2.911215 0.05482829 2.803704 3.018726
## ───────────────────────────────────────────────────────────
##
## ANOVA
##
## ANOVA - wcrit
## ────────────────────────────────────────────────────────────────────────────────
## Sum of Squares df Mean Square F p
## ────────────────────────────────────────────────────────────────────────────────
## group 472.5760 4 118.1439969 205.4633 < .0000001
## Residuals 1519.1837 2642 0.5750128
## ────────────────────────────────────────────────────────────────────────────────
##
##
## POST HOC TESTS
##
## Post Hoc Comparisons - group
## ─────────────────────────────────────────────────────────────────────────────────────────────────
## group group Mean Difference SE df t p-tukey
## ─────────────────────────────────────────────────────────────────────────────────────────────────
## 1 - 2 -0.15181366 0.08565061 2642.000 -1.7724760 0.3899477
## - 3 0.65831313 0.08282424 2642.000 7.9483146 < .0000001
## - 4 -0.03651685 0.09369855 2642.000 -0.3897270 0.9951258
## - 5 -0.44689421 0.09577652 2642.000 -4.6660101 0.0000317
## 2 - 3 0.81012678 0.03569660 2642.000 22.6947905 < .0000001
## - 4 0.11529680 0.05651380 2642.000 2.0401531 0.2470850
## - 5 -0.29508055 0.05989603 2642.000 -4.9265464 0.0000088
## 3 - 4 -0.69482998 0.05213096 2642.000 -13.3285470 < .0000001
## - 5 -1.10520734 0.05577958 2642.000 -19.8138335 < .0000001
## 4 - 5 -0.41037736 0.07092901 2642.000 -5.7857478 < .0000001
## ─────────────────────────────────────────────────────────────────────────────────────────────────
## Note. Comparisons are based on estimated marginal means
##
##
## ESTIMATED MARGINAL MEANS
##
## GROUP
##
## Estimated Marginal Means - group
## ───────────────────────────────────────────────────────────
## group Mean SE Lower Upper
## ───────────────────────────────────────────────────────────
## 1 2.213483 0.08037921 2.055871 2.371096
## 2 2.365297 0.02958394 2.307287 2.423307
## 3 1.555170 0.01997592 1.516000 1.594340
## 4 2.250000 0.04815184 2.155581 2.344419
## 5 2.660377 0.05207998 2.558256 2.762499
## ───────────────────────────────────────────────────────────
##
## ANOVA
##
## ANOVA - wdown
## ────────────────────────────────────────────────────────────────────────────────
## Sum of Squares df Mean Square F p
## ────────────────────────────────────────────────────────────────────────────────
## group 661.6136 4 165.4034063 344.9761 < .0000001
## Residuals 1263.3860 2635 0.4794634
## ────────────────────────────────────────────────────────────────────────────────
##
##
## POST HOC TESTS
##
## Post Hoc Comparisons - group
## ──────────────────────────────────────────────────────────────────────────────────────────────────
## group group Mean Difference SE df t p-tukey
## ──────────────────────────────────────────────────────────────────────────────────────────────────
## 1 - 2 0.003648233 0.07864446 2635.000 0.04638895 0.9999990
## - 3 0.843251214 0.07603405 2635.000 11.09044161 < .0000001
## - 4 0.088562753 0.08596275 2635.000 1.03024567 0.8414117
## - 5 -0.659037559 0.08774651 2635.000 -7.51069863 < .0000001
## 2 - 3 0.839602981 0.03269912 2635.000 25.67662255 < .0000001
## - 4 0.084914520 0.05174602 2635.000 1.64098662 0.4711911
## - 5 -0.662685792 0.05465807 2635.000 -12.12420762 < .0000001
## 3 - 4 -0.754688461 0.04768519 2635.000 -15.82647647 < .0000001
## - 5 -1.502288773 0.05083042 2635.000 -29.55491684 < .0000001
## 4 - 5 -0.747600312 0.06474681 2635.000 -11.54652012 < .0000001
## ──────────────────────────────────────────────────────────────────────────────────────────────────
## Note. Comparisons are based on estimated marginal means
##
##
## ESTIMATED MARGINAL MEANS
##
## GROUP
##
## Estimated Marginal Means - group
## ───────────────────────────────────────────────────────────
## group Mean SE Lower Upper
## ───────────────────────────────────────────────────────────
## 1 2.125000 0.07381360 1.980262 2.269738
## 2 2.121352 0.02713859 2.068137 2.174567
## 3 1.281749 0.01824088 1.245981 1.317517
## 4 2.036437 0.04405845 1.950045 2.122830
## 5 2.784038 0.04744472 2.691005 2.877070
## ───────────────────────────────────────────────────────────
##
## ANOVA
##
## ANOVA - wnerve
## ────────────────────────────────────────────────────────────────────────────────
## Sum of Squares df Mean Square F p
## ────────────────────────────────────────────────────────────────────────────────
## group 495.4537 4 123.8634222 269.7895 < .0000001
## Residuals 1213.8902 2644 0.4591113
## ────────────────────────────────────────────────────────────────────────────────
##
##
## POST HOC TESTS
##
## Post Hoc Comparisons - group
## ─────────────────────────────────────────────────────────────────────────────────────────────────
## group group Mean Difference SE df t p-tukey
## ─────────────────────────────────────────────────────────────────────────────────────────────────
## 1 - 2 -0.17774015 0.07653335 2644.000 -2.3223884 0.1380477
## - 3 0.61770462 0.07400784 2644.000 8.3464760 < .0000001
## - 4 -0.05812012 0.08368019 2644.000 -0.6945505 0.9577179
## - 5 -0.59350108 0.08552196 2644.000 -6.9397507 < .0000001
## 2 - 3 0.79544478 0.03189679 2644.000 24.9380785 < .0000001
## - 4 0.11962003 0.05042440 2644.000 2.3722650 0.1232480
## - 5 -0.41576093 0.05342520 2644.000 -7.7821134 < .0000001
## 3 - 4 -0.67582474 0.04650190 2644.000 -14.5332726 < .0000001
## - 5 -1.21120570 0.04973990 2644.000 -24.3507850 < .0000001
## 4 - 5 -0.53538096 0.06323980 2644.000 -8.4658863 < .0000001
## ─────────────────────────────────────────────────────────────────────────────────────────────────
## Note. Comparisons are based on estimated marginal means
##
##
## ESTIMATED MARGINAL MEANS
##
## GROUP
##
## Estimated Marginal Means - group
## ───────────────────────────────────────────────────────────
## group Mean SE Lower Upper
## ───────────────────────────────────────────────────────────
## 1 2.359551 0.07182307 2.218715 2.500386
## 2 2.537291 0.02643482 2.485456 2.589126
## 3 1.741846 0.01784954 1.706845 1.776846
## 4 2.417671 0.04293973 2.333472 2.501870
## 5 2.953052 0.04642685 2.862015 3.044088
## ───────────────────────────────────────────────────────────
## # Correlation Matrix (pearson-method)
##
## Parameter1 | Parameter2 | r | 95% CI | t | df | p
## --------------------------------------------------------------------------------
## mage | wage | 0.85 | [ 0.84, 0.86] | 82.35 | 2659 | < .001***
## mage | mrace | -0.20 | [-0.24, -0.16] | -10.50 | 2654 | < .001***
## mage | wrace | -0.21 | [-0.25, -0.18] | -11.21 | 2654 | < .001***
## mage | mdemen | 0.10 | [ 0.06, 0.13] | 5.03 | 2641 | < .001***
## mage | wdemen | 0.07 | [ 0.04, 0.11] | 3.82 | 2651 | < .001***
## mage | mchron | 0.37 | [ 0.34, 0.40] | 20.48 | 2659 | < .001***
## mage | wchron | 0.31 | [ 0.28, 0.35] | 16.95 | 2659 | < .001***
## mage | madl | 0.07 | [ 0.04, 0.11] | 3.79 | 2659 | < .001***
## mage | wadl | 0.07 | [ 0.04, 0.11] | 3.82 | 2659 | < .001***
## mage | miadl | 0.12 | [ 0.09, 0.16] | 6.48 | 2659 | < .001***
## mage | wiadl | 0.07 | [ 0.03, 0.11] | 3.67 | 2659 | < .001***
## mage | mleng | 0.61 | [ 0.59, 0.64] | 39.67 | 2604 | < .001***
## mage | wleng | 0.62 | [ 0.60, 0.64] | 40.28 | 2608 | < .001***
## wage | mrace | -0.23 | [-0.26, -0.19] | -11.99 | 2654 | < .001***
## wage | wrace | -0.24 | [-0.28, -0.21] | -12.97 | 2654 | < .001***
## wage | mdemen | 0.09 | [ 0.05, 0.13] | 4.67 | 2641 | < .001***
## wage | wdemen | 0.08 | [ 0.04, 0.12] | 4.10 | 2651 | < .001***
## wage | mchron | 0.31 | [ 0.27, 0.34] | 16.64 | 2659 | < .001***
## wage | wchron | 0.35 | [ 0.32, 0.38] | 19.27 | 2659 | < .001***
## wage | madl | 0.05 | [ 0.01, 0.09] | 2.52 | 2659 | 0.012*
## wage | wadl | 0.10 | [ 0.06, 0.14] | 5.15 | 2659 | < .001***
## wage | miadl | 0.11 | [ 0.07, 0.14] | 5.52 | 2659 | < .001***
## wage | wiadl | 0.09 | [ 0.05, 0.13] | 4.73 | 2659 | < .001***
## wage | mleng | 0.67 | [ 0.65, 0.69] | 45.73 | 2604 | < .001***
## wage | wleng | 0.66 | [ 0.64, 0.69] | 45.43 | 2608 | < .001***
## mrace | wrace | 0.70 | [ 0.68, 0.72] | 50.61 | 2649 | < .001***
## mrace | mdemen | 8.46e-03 | [-0.03, 0.05] | 0.43 | 2636 | 0.664
## mrace | wdemen | -0.01 | [-0.05, 0.02] | -0.75 | 2646 | 0.453
## mrace | mchron | -0.08 | [-0.12, -0.04] | -4.08 | 2654 | < .001***
## mrace | wchron | -0.04 | [-0.07, 0.00] | -1.90 | 2654 | 0.057
## mrace | madl | 0.08 | [ 0.05, 0.12] | 4.29 | 2654 | < .001***
## mrace | wadl | 0.06 | [ 0.02, 0.10] | 2.97 | 2654 | 0.003**
## mrace | miadl | 0.09 | [ 0.05, 0.12] | 4.44 | 2654 | < .001***
## mrace | wiadl | 0.06 | [ 0.02, 0.10] | 2.96 | 2654 | 0.003**
## mrace | mleng | -0.15 | [-0.19, -0.11] | -7.81 | 2599 | < .001***
## mrace | wleng | -0.15 | [-0.18, -0.11] | -7.55 | 2603 | < .001***
## wrace | mdemen | -0.02 | [-0.06, 0.02] | -0.98 | 2636 | 0.328
## wrace | wdemen | -0.02 | [-0.06, 0.02] | -1.11 | 2647 | 0.266
## wrace | mchron | -0.10 | [-0.14, -0.06] | -5.19 | 2654 | < .001***
## wrace | wchron | -0.07 | [-0.11, -0.03] | -3.71 | 2654 | < .001***
## wrace | madl | 0.07 | [ 0.04, 0.11] | 3.84 | 2654 | < .001***
## wrace | wadl | 0.05 | [ 0.01, 0.09] | 2.43 | 2654 | 0.015*
## wrace | miadl | 0.05 | [ 0.01, 0.08] | 2.42 | 2654 | 0.015*
## wrace | wiadl | 0.04 | [ 0.00, 0.08] | 2.14 | 2654 | 0.032*
## wrace | mleng | -0.17 | [-0.21, -0.13] | -8.69 | 2599 | < .001***
## wrace | wleng | -0.16 | [-0.20, -0.12] | -8.28 | 2604 | < .001***
## mdemen | wdemen | 8.96e-03 | [-0.03, 0.05] | 0.46 | 2633 | 0.646
## mdemen | mchron | 0.05 | [ 0.02, 0.09] | 2.75 | 2641 | 0.006**
## mdemen | wchron | 0.03 | [ 0.00, 0.07] | 1.71 | 2641 | 0.088
## mdemen | madl | 0.07 | [ 0.03, 0.11] | 3.52 | 2641 | < .001***
## mdemen | wadl | 0.02 | [-0.02, 0.05] | 0.82 | 2641 | 0.412
## mdemen | miadl | 0.18 | [ 0.14, 0.21] | 9.17 | 2641 | < .001***
## mdemen | wiadl | 0.02 | [-0.02, 0.06] | 0.95 | 2641 | 0.341
## mdemen | mleng | 0.04 | [ 0.00, 0.08] | 1.99 | 2587 | 0.047*
## mdemen | wleng | 0.03 | [ 0.00, 0.07] | 1.71 | 2590 | 0.087
## wdemen | mchron | 0.04 | [ 0.01, 0.08] | 2.24 | 2651 | 0.025*
## wdemen | wchron | 0.09 | [ 0.05, 0.13] | 4.71 | 2651 | < .001***
## wdemen | madl | -6.45e-03 | [-0.04, 0.03] | -0.33 | 2651 | 0.740
## wdemen | wadl | 0.10 | [ 0.06, 0.14] | 5.08 | 2651 | < .001***
## wdemen | miadl | 0.02 | [-0.01, 0.06] | 1.19 | 2651 | 0.234
## wdemen | wiadl | 0.19 | [ 0.15, 0.22] | 9.85 | 2651 | < .001***
## wdemen | mleng | 0.08 | [ 0.04, 0.11] | 3.92 | 2596 | < .001***
## wdemen | wleng | 0.08 | [ 0.04, 0.12] | 3.94 | 2601 | < .001***
## mchron | wchron | 0.26 | [ 0.23, 0.30] | 13.93 | 2659 | < .001***
## mchron | madl | 0.26 | [ 0.22, 0.29] | 13.81 | 2659 | < .001***
## mchron | wadl | 0.07 | [ 0.03, 0.11] | 3.60 | 2659 | < .001***
## mchron | miadl | 0.24 | [ 0.20, 0.27] | 12.50 | 2659 | < .001***
## mchron | wiadl | 0.06 | [ 0.02, 0.10] | 3.10 | 2659 | 0.002**
## mchron | mleng | 0.21 | [ 0.17, 0.24] | 10.87 | 2604 | < .001***
## mchron | wleng | 0.21 | [ 0.17, 0.24] | 10.86 | 2608 | < .001***
## wchron | madl | 0.10 | [ 0.07, 0.14] | 5.34 | 2659 | < .001***
## wchron | wadl | 0.26 | [ 0.23, 0.30] | 14.04 | 2659 | < .001***
## wchron | miadl | 0.11 | [ 0.07, 0.15] | 5.84 | 2659 | < .001***
## wchron | wiadl | 0.25 | [ 0.21, 0.28] | 13.15 | 2659 | < .001***
## wchron | mleng | 0.23 | [ 0.19, 0.26] | 11.88 | 2604 | < .001***
## wchron | wleng | 0.22 | [ 0.19, 0.26] | 11.76 | 2608 | < .001***
## madl | wadl | 0.09 | [ 0.05, 0.13] | 4.79 | 2659 | < .001***
## madl | miadl | 0.54 | [ 0.51, 0.57] | 33.14 | 2659 | < .001***
## madl | wiadl | 0.08 | [ 0.05, 0.12] | 4.29 | 2659 | < .001***
## madl | mleng | 0.02 | [-0.02, 0.05] | 0.84 | 2604 | 0.399
## madl | wleng | 0.01 | [-0.03, 0.05] | 0.60 | 2608 | 0.546
## wadl | miadl | 0.12 | [ 0.08, 0.16] | 6.17 | 2659 | < .001***
## wadl | wiadl | 0.65 | [ 0.62, 0.67] | 43.81 | 2659 | < .001***
## wadl | mleng | 0.05 | [ 0.01, 0.09] | 2.43 | 2604 | 0.015*
## wadl | wleng | 0.05 | [ 0.01, 0.09] | 2.46 | 2608 | 0.014*
## miadl | wiadl | 0.11 | [ 0.07, 0.15] | 5.65 | 2659 | < .001***
## miadl | mleng | 0.06 | [ 0.02, 0.09] | 2.85 | 2604 | 0.004**
## miadl | wleng | 0.05 | [ 0.02, 0.09] | 2.79 | 2608 | 0.005**
## wiadl | mleng | 0.05 | [ 0.01, 0.09] | 2.71 | 2604 | 0.007**
## wiadl | wleng | 0.06 | [ 0.02, 0.09] | 2.86 | 2608 | 0.004**
## mleng | wleng | 0.99 | [ 0.99, 0.99] | 339.32 | 2554 | < .001***
##
## p-value adjustment method: none
## Observations: 2556-2661
## Call:
## vglm(formula = group ~ avg_yrs + avg_mar + mix_race + mchron +
## madl + miadl + wchron + wadl + wiadl, family = multinomial(refLevel = 3),
## data = predict2)
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## (Intercept):1 -2.0523834 0.8757840 -2.343 0.019105 *
## (Intercept):2 0.0261379 0.3817635 0.068 0.945415
## (Intercept):3 -0.8889446 0.5618084 -1.582 0.113583
## (Intercept):4 -1.5977524 0.5912058 -2.703 0.006881 **
## avg_yrs:1 -0.0261828 0.0167955 -1.559 0.119016
## avg_yrs:2 -0.0253128 0.0072392 -3.497 0.000471 ***
## avg_yrs:3 -0.0275090 0.0107227 -2.565 0.010303 *
## avg_yrs:4 -0.0158037 0.0109081 -1.449 0.147394
## avg_mar:1 0.0123991 0.0100926 1.229 0.219245
## avg_mar:2 0.0076567 0.0041061 1.865 0.062222 .
## avg_mar:3 0.0099659 0.0061936 1.609 0.107600
## avg_mar:4 -0.0020255 0.0060501 -0.335 0.737784
## mix_race1:1 0.0716240 0.4241294 0.169 0.865897
## mix_race1:2 0.1807249 0.1772976 1.019 0.308046
## mix_race1:3 0.7337456 0.2183394 3.361 0.000778 ***
## mix_race1:4 0.1817720 0.2698564 0.674 0.500573
## mchron:1 -0.0439612 0.0872353 -0.504 0.614305
## mchron:2 0.1197604 0.0361346 3.314 0.000919 ***
## mchron:3 0.0435446 0.0531736 0.819 0.412836
## mchron:4 0.1353593 0.0552413 2.450 0.014273 *
## madl:1 0.2731014 0.1477848 1.848 0.064607 .
## madl:2 0.1827054 0.0760997 2.401 0.016356 *
## madl:3 0.1948379 0.1005346 1.938 0.052621 .
## madl:4 0.0924734 0.1063621 0.869 0.384617
## miadl:1 0.0835736 0.1870882 0.447 0.655087
## miadl:2 -0.0490057 0.1011593 -0.484 0.628073
## miadl:3 0.1898250 0.1225496 1.549 0.121390
## miadl:4 0.3187041 0.1206231 2.642 0.008238 **
## wchron:1 0.1406794 0.0820903 1.714 0.086581 .
## wchron:2 0.1473715 0.0372376 3.958 7.57e-05 ***
## wchron:3 0.1294076 0.0539004 2.401 0.016356 *
## wchron:4 0.1795661 0.0573891 3.129 0.001754 **
## wadl:1 0.3451264 0.1173571 2.941 0.003273 **
## wadl:2 0.0002938 0.0854540 0.003 0.997256
## wadl:3 0.3075522 0.0972647 3.162 0.001567 **
## wadl:4 -0.0070423 0.1305721 -0.054 0.956988
## wiadl:1 0.3875866 0.1498392 2.587 0.009690 **
## wiadl:2 0.0060999 0.1115177 0.055 0.956379
## wiadl:3 -0.1071469 0.1467915 -0.730 0.465436
## wiadl:4 0.0074428 0.1677715 0.044 0.964615
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Names of linear predictors: log(mu[,1]/mu[,3]), log(mu[,2]/mu[,3]),
## log(mu[,4]/mu[,3]), log(mu[,5]/mu[,3])
##
## Residual deviance: 5982.807 on 10148 degrees of freedom
##
## Log-likelihood: -2991.404 on 10148 degrees of freedom
##
## Number of Fisher scoring iterations: 5
##
## No Hauck-Donner effect found in any of the estimates
##
##
## Reference group is level 3 of the response
## (Intercept):1 (Intercept):2 (Intercept):3 (Intercept):4 avg_yrs:1
## 0.13 1.03 0.41 0.20 0.97
## avg_yrs:2 avg_yrs:3 avg_yrs:4 avg_mar:1 avg_mar:2
## 0.98 0.97 0.98 1.01 1.01
## avg_mar:3 avg_mar:4 mix_race1:1 mix_race1:2 mix_race1:3
## 1.01 1.00 1.07 1.20 2.08
## mix_race1:4 mchron:1 mchron:2 mchron:3 mchron:4
## 1.20 0.96 1.13 1.04 1.14
## madl:1 madl:2 madl:3 madl:4 miadl:1
## 1.31 1.20 1.22 1.10 1.09
## miadl:2 miadl:3 miadl:4 wchron:1 wchron:2
## 0.95 1.21 1.38 1.15 1.16
## wchron:3 wchron:4 wadl:1 wadl:2 wadl:3
## 1.14 1.20 1.41 1.00 1.36
## wadl:4 wiadl:1 wiadl:2 wiadl:3 wiadl:4
## 0.99 1.47 1.01 0.90 1.01