| Model Info | |||
|---|---|---|---|
| Info | |||
| Estimate | Linear mixed model fit by REML | ||
| Call | peak_force ~ 1 + supplement + exercise + supplement:exercise+( 1 | subj ) | ||
| AIC | 2047.543 | ||
| BIC | 2080.266 | ||
| LogLikel. | -1011.291 | ||
| R-squared Marginal | 0.961 | ||
| R-squared Conditional | 0.963 | ||
| Converged | yes | ||
| Optimizer | bobyqa | ||
| Fixed Effect Omnibus tests | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| F | Num df | Den df | p | ||||||
| supplement | 1554.502 | 3 | 273.000 | < .001 | |||||
| exercise | 3244.498 | 1 | 273.000 | < .001 | |||||
| supplement ✻ exercise | 104.991 | 3 | 273.000 | < .001 | |||||
| Note. Satterthwaite method for degrees of freedom | |||||||||
| Fixed Effects Parameter Estimates | |||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 95% Confidence Interval | |||||||||||||||||
| Names | Effect | Estimate | SE | Lower | Upper | df | t | p | |||||||||
| (Intercept) | (Intercept) | 83.478 | 0.382 | 82.729 | 84.227 | 39.000 | 218.394 | < .001 | |||||||||
| supplement1 | linear | 40.810 | 0.636 | 39.563 | 42.057 | 273.000 | 64.145 | < .001 | |||||||||
| supplement2 | quadratic | 6.672 | 0.636 | 5.425 | 7.919 | 273.000 | 10.487 | < .001 | |||||||||
| supplement3 | cubic | -13.328 | 0.636 | -14.575 | -12.081 | 273.000 | -20.948 | < .001 | |||||||||
| exercise1 | 2 - ( 1, 2 ) | 18.119 | 0.318 | 17.496 | 18.743 | 273.000 | 56.960 | < .001 | |||||||||
| supplement1 ✻ exercise1 | linear ✻ 2 - ( 1, 2 ) | 10.204 | 0.636 | 8.957 | 11.451 | 273.000 | 16.039 | < .001 | |||||||||
| supplement2 ✻ exercise1 | quadratic ✻ 2 - ( 1, 2 ) | 0.726 | 0.636 | -0.521 | 1.973 | 273.000 | 1.141 | 0.255 | |||||||||
| supplement3 ✻ exercise1 | cubic ✻ 2 - ( 1, 2 ) | -4.779 | 0.636 | -6.026 | -3.532 | 273.000 | -7.512 | < .001 | |||||||||
| Random Components | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| Groups | Name | SD | Variance | ICC | |||||
| subj | (Intercept) | 1.340 | 1.796 | 0.053 | |||||
| Residual | 5.691 | 32.382 | |||||||
| Note. Number of Obs: 320 , groups: subj 40 | |||||||||
| supplement | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Name | Contrast | level=no | level=placebo | level=low_dose | level=high_dose | ||||||
| supplement1 | linear | -0.671 | -0.224 | 0.224 | 0.671 | ||||||
| supplement2 | quadratic | 0.5 | -0.5 | -0.5 | 0.5 | ||||||
| supplement3 | cubic | -0.224 | 0.671 | -0.671 | 0.224 | ||||||
| Note. Intercept computed for sample mean | |||||||||||
| exercise | |||||||
|---|---|---|---|---|---|---|---|
| Name | Contrast | level=1 | level=2 | ||||
| exercise1 | 2 - ( 1, 2 ) | -1 | 1 | ||||
| Note. Intercept computed for sample mean | |||||||
| Post Hoc Comparisons - supplement | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Comparison | |||||||||||||||
| supplement | supplement | Difference | SE | t | df | pbonferroni | |||||||||
| low_dose | - | high_dose | -13.002 | 0.900 | -14.451 | 273.000 | < .001 | ||||||||
| no | - | high_dose | -48.792 | 0.900 | -54.229 | 273.000 | < .001 | ||||||||
| no | - | low_dose | -35.790 | 0.900 | -39.778 | 273.000 | < .001 | ||||||||
| no | - | placebo | 0.342 | 0.900 | 0.380 | 273.000 | 1.000 | ||||||||
| placebo | - | high_dose | -49.134 | 0.900 | -54.609 | 273.000 | < .001 | ||||||||
| placebo | - | low_dose | -36.132 | 0.900 | -40.158 | 273.000 | < .001 | ||||||||
| Post Hoc Comparisons - supplement ✻ exercise | |||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Comparison | |||||||||||||||||||
| supplement | exercise | supplement | exercise | Difference | SE | t | df | pbonferroni | |||||||||||
| high_dose | 1 | - | high_dose | 2 | -48.518 | 1.272 | -38.130 | 273.000 | < .001 | ||||||||||
| high_dose | 1 | - | low_dose | 2 | -34.501 | 1.272 | -27.114 | 273.000 | < .001 | ||||||||||
| high_dose | 1 | - | no | 2 | 11.827 | 1.272 | 9.295 | 273.000 | < .001 | ||||||||||
| high_dose | 1 | - | placebo | 2 | 12.606 | 1.272 | 9.907 | 273.000 | < .001 | ||||||||||
| low_dose | 1 | - | high_dose | 1 | -11.987 | 1.272 | -9.421 | 273.000 | < .001 | ||||||||||
| low_dose | 1 | - | high_dose | 2 | -60.506 | 1.272 | -47.551 | 273.000 | < .001 | ||||||||||
| low_dose | 1 | - | low_dose | 2 | -46.488 | 1.272 | -36.535 | 273.000 | < .001 | ||||||||||
| low_dose | 1 | - | no | 2 | -0.160 | 1.272 | -0.126 | 273.000 | 1.000 | ||||||||||
| low_dose | 1 | - | placebo | 2 | 0.619 | 1.272 | 0.486 | 273.000 | 1.000 | ||||||||||
| low_dose | 2 | - | high_dose | 2 | -14.017 | 1.272 | -11.016 | 273.000 | < .001 | ||||||||||
| no | 1 | - | high_dose | 1 | -37.239 | 1.272 | -29.266 | 273.000 | < .001 | ||||||||||
| no | 1 | - | high_dose | 2 | -85.757 | 1.272 | -67.396 | 273.000 | < .001 | ||||||||||
| no | 1 | - | low_dose | 1 | -25.251 | 1.272 | -19.845 | 273.000 | < .001 | ||||||||||
| no | 1 | - | low_dose | 2 | -71.740 | 1.272 | -56.380 | 273.000 | < .001 | ||||||||||
| no | 1 | - | no | 2 | -25.411 | 1.272 | -19.971 | 273.000 | < .001 | ||||||||||
| no | 1 | - | placebo | 1 | -0.095 | 1.272 | -0.074 | 273.000 | 1.000 | ||||||||||
| no | 1 | - | placebo | 2 | -24.633 | 1.272 | -19.359 | 273.000 | < .001 | ||||||||||
| no | 2 | - | high_dose | 2 | -60.346 | 1.272 | -47.425 | 273.000 | < .001 | ||||||||||
| no | 2 | - | low_dose | 2 | -46.328 | 1.272 | -36.409 | 273.000 | < .001 | ||||||||||
| no | 2 | - | placebo | 2 | 0.779 | 1.272 | 0.612 | 273.000 | 1.000 | ||||||||||
| placebo | 1 | - | high_dose | 1 | -37.144 | 1.272 | -29.191 | 273.000 | < .001 | ||||||||||
| placebo | 1 | - | high_dose | 2 | -85.662 | 1.272 | -67.321 | 273.000 | < .001 | ||||||||||
| placebo | 1 | - | low_dose | 1 | -25.157 | 1.272 | -19.770 | 273.000 | < .001 | ||||||||||
| placebo | 1 | - | low_dose | 2 | -71.645 | 1.272 | -56.305 | 273.000 | < .001 | ||||||||||
| placebo | 1 | - | no | 2 | -25.317 | 1.272 | -19.896 | 273.000 | < .001 | ||||||||||
| placebo | 1 | - | placebo | 2 | -24.538 | 1.272 | -19.284 | 273.000 | < .001 | ||||||||||
| placebo | 2 | - | high_dose | 2 | -61.124 | 1.272 | -48.037 | 273.000 | < .001 | ||||||||||
| placebo | 2 | - | low_dose | 2 | -47.107 | 1.272 | -37.021 | 273.000 | < .001 | ||||||||||
| Simple effects of supplement : Omnibus Tests | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| Moderator levels | |||||||||
| exercise | F | Num df | Den df | p | |||||
| 1 | 430.346 | 3.000 | 273.000 | < .001 | |||||
| 2 | 1229.103 | 3.000 | 273.000 | < .001 | |||||
| Simple effects of supplement : Parameter estimates | |||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Moderator levels | 95% Confidence Interval | ||||||||||||||||
| exercise | contrast | Estimate | SE | Lower | Upper | df | t | p | |||||||||
| 1 | linear | 30.606 | 0.900 | 28.835 | 32.377 | 273.000 | 34.016 | < .001 | |||||||||
| quadratic | 5.946 | 0.900 | 4.175 | 7.718 | 273.000 | 6.609 | < .001 | ||||||||||
| cubic | -8.549 | 0.900 | -10.320 | -6.777 | 273.000 | -9.501 | < .001 | ||||||||||
| 2 | linear | 51.015 | 0.900 | 49.243 | 52.786 | 273.000 | 56.698 | < .001 | |||||||||
| quadratic | 7.398 | 0.900 | 5.627 | 9.169 | 273.000 | 8.222 | < .001 | ||||||||||
| cubic | -18.107 | 0.900 | -19.878 | -16.335 | 273.000 | -20.124 | < .001 | ||||||||||
| supplement | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| 95% Confidence Interval | |||||||||||
| supplement | Mean | SE | df | Lower | Upper | ||||||
| no | 62.418 | 0.671 | 228.511 | 61.097 | 63.739 | ||||||
| placebo | 62.076 | 0.671 | 228.511 | 60.755 | 63.397 | ||||||
| low_dose | 98.208 | 0.671 | 228.511 | 96.887 | 99.529 | ||||||
| high_dose | 111.210 | 0.671 | 228.511 | 109.889 | 112.532 | ||||||
| Note. Estimated means are estimated averaging across interacting variables | |||||||||||
| exercise | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| 95% Confidence Interval | |||||||||||
| exercise | Mean | SE | df | Lower | Upper | ||||||
| 1 | 65.358 | 0.497 | 104.567 | 64.372 | 66.345 | ||||||
| 2 | 101.597 | 0.497 | 104.567 | 100.611 | 102.584 | ||||||
| Note. Estimated means are estimated averaging across interacting variables | |||||||||||
| exercise:supplement | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 95% Confidence Interval | |||||||||||||
| exercise | supplement | Mean | SE | df | Lower | Upper | |||||||
| 1 | no | 49.712 | 0.924 | 306.081 | 47.893 | 51.531 | |||||||
| 2 | no | 75.124 | 0.924 | 306.081 | 73.305 | 76.943 | |||||||
| 1 | placebo | 49.807 | 0.924 | 306.081 | 47.988 | 51.626 | |||||||
| 2 | placebo | 74.345 | 0.924 | 306.081 | 72.526 | 76.164 | |||||||
| 1 | low_dose | 74.964 | 0.924 | 306.081 | 73.145 | 76.783 | |||||||
| 2 | low_dose | 121.452 | 0.924 | 306.081 | 119.633 | 123.271 | |||||||
| 1 | high_dose | 86.951 | 0.924 | 306.081 | 85.132 | 88.770 | |||||||
| 2 | high_dose | 135.469 | 0.924 | 306.081 | 133.650 | 137.288 | |||||||
