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Table 2 Parameter estimates for LGCM with time-invariant (TIC) and time varying covariates (TVC)

From: Housing first, connection second: the impact of professional helping relationships on the trajectories of housing stability for people facing severe and multiple disadvantage

  LGCM-TIC LGCM-TIC and TVC
Est S. E p Est S. E p
 Intercept mean 10.613 1.418 .000 3.890 3.055 .203
 Slope mean 17.238 2.423 .000 19.060 6.245 .002
 Quadratic mean −2.454 2.423 .000 −2.224 1.739 .201
 Intercept variance 35.157 47.684 .461 23.847 57.460 .678
 Slope variance 247.302 73.600 .001 401.945 94.972 .000
 Quadratic variance 12.626 4.608 .006 25.393 6.184 .000
 Intercept with Slope 29.548 42.883 .491 −11.291 52.458 .830
 Intercept with Quadratic −9.657 8.390 .250 0.389 10.674 .971
 Slope with Quadratic −48.948 17.710 .006 − 96.970 23.499 .000
Intercept predicted by
 Age −0.056 0.047 .225 0.022 0.076 .767
 Gender −3.307 1.104 .003 −1.405 1.706 .410
 ACE −0.342 0.173 .048 −0.304 0.275 .268
 Intervention 2.528 1.092 .021 5.912 2.696 .028
Slope predicted by  
 Age 0.204 0.079 .010 0.126 0.124 .308
 Gender −1.212 1.886 .520 2.134 2.788 .444
 ACE 0.074 0.297 .802 0.142 0.450 .752
 Intervention 38.412 1.857 .000 37.599 4.400 .000
Quadratic predicted by
 Age −0.027 0.020 .173 − 0.009 0.032 .777
 Gender 0.059 0.471 .901 −0.326 0.726 .654
 ACE −0.032 0.074 .665 −0.030 0.117 .799
Intervention −8.670 0.463 .000 −9.101 1.141 .000
Housing stability predicted by
 T2: Working alliance     0.281 0.044 .000
 T3: Working alliance     0.026 0.053 .623
 T4: Working alliance     −0.010 0.052 .842
 T5: Working alliance     0.025 0.092 .789
  1. Note: LGCM-TIC Latent growth model with time-invariant covariates; LGCM-TIC and TVC Latent growth model with time-invariant and time varying covariates; ACE Adverse childhood experiences