sandbox-01
Joshua Rosenberg
12/27/2017
Sandbox - 03
Background
This is a sandbox for exploring the data, in preparation for adding to the results section.
This document is organized around two sets of model specifications:
- Fit using the R package
mclust - Fit using the commerical software
MPlus
Both are interfaced to through the tidyLPA package.
Models that are specified
mclust
For models fit using mclust, eight model specifications are tested, where all five refers to the variables for cognitive (learning), behavioral (hard working), and affective (enjoy), and challenge and competence, where three refers to just the three engagement measures. Note that the prior is to regularize the parameter estimates to be more less likely to be extreme (and therefore to be less likely to lead to convergence problems, but possibly less meaningful / interpretable).
- All five variables w/ no prior
- All five w/ prior
MPlus
- All five variables
1. mclust profiles
1A. All five - no prior
## n_profiles
## 1 1
## 2 2
## 3 3
## 4 4
## 5 5
## 6 6
## 7 7
## 8 8
## 9 9
## 10 1
## 11 2
## 12 3
## 13 4
## 14 5
## 15 6
## 16 7
## 17 8
## 18 9
## 19 1
## 20 2
## 21 3
## 22 4
## 23 5
## 24 6
## 25 7
## 26 8
## 27 9
## 28 1
## 29 2
## 30 3
## 31 4
## 32 5
## 33 6
## 34 7
## 35 8
## 36 9
## Covariance matrix structure
## 1 Varying means, equal variances, covariances fixed to 0 (Model 1)
## 2 Varying means, equal variances, covariances fixed to 0 (Model 1)
## 3 Varying means, equal variances, covariances fixed to 0 (Model 1)
## 4 Varying means, equal variances, covariances fixed to 0 (Model 1)
## 5 Varying means, equal variances, covariances fixed to 0 (Model 1)
## 6 Varying means, equal variances, covariances fixed to 0 (Model 1)
## 7 Varying means, equal variances, covariances fixed to 0 (Model 1)
## 8 Varying means, equal variances, covariances fixed to 0 (Model 1)
## 9 Varying means, equal variances, covariances fixed to 0 (Model 1)
## 10 Varying means, equal variances and covariances (Model 2)
## 11 Varying means, equal variances and covariances (Model 2)
## 12 Varying means, equal variances and covariances (Model 2)
## 13 Varying means, equal variances and covariances (Model 2)
## 14 Varying means, equal variances and covariances (Model 2)
## 15 Varying means, equal variances and covariances (Model 2)
## 16 Varying means, equal variances and covariances (Model 2)
## 17 Varying means, equal variances and covariances (Model 2)
## 18 Varying means, equal variances and covariances (Model 2)
## 19 Varying means and variances, covariances fixed to 0 (Model 3)
## 20 Varying means and variances, covariances fixed to 0 (Model 3)
## 21 Varying means and variances, covariances fixed to 0 (Model 3)
## 22 Varying means and variances, covariances fixed to 0 (Model 3)
## 23 Varying means and variances, covariances fixed to 0 (Model 3)
## 24 Varying means and variances, covariances fixed to 0 (Model 3)
## 25 Varying means and variances, covariances fixed to 0 (Model 3)
## 26 Varying means and variances, covariances fixed to 0 (Model 3)
## 27 Varying means and variances, covariances fixed to 0 (Model 3)
## 28 Varying means, variances, and covariances (Model 5)
## 29 Varying means, variances, and covariances (Model 5)
## 30 Varying means, variances, and covariances (Model 5)
## 31 Varying means, variances, and covariances (Model 5)
## 32 Varying means, variances, and covariances (Model 5)
## 33 Varying means, variances, and covariances (Model 5)
## 34 Varying means, variances, and covariances (Model 5)
## 35 Varying means, variances, and covariances (Model 5)
## 36 Varying means, variances, and covariances (Model 5)
## val
## 1 43336.40
## 2 39916.40
## 3 39620.19
## 4 38677.32
## 5 38162.31
## 6 NA
## 7 NA
## 8 NA
## 9 NA
## 10 39225.62
## 11 38423.28
## 12 38149.97
## 13 37676.20
## 14 NA
## 15 NA
## 16 NA
## 17 NA
## 18 NA
## 19 43336.40
## 20 NA
## 21 NA
## 22 NA
## 23 NA
## 24 NA
## 25 NA
## 26 NA
## 27 NA
## 28 39225.62
## 29 NA
## 30 NA
## 31 NA
## 32 NA
## 33 NA
## 34 NA
## 35 NA
## 36 NA1B. All five - prior
## n_profiles
## 1 1
## 2 2
## 3 3
## 4 4
## 5 5
## 6 6
## 7 7
## 8 8
## 9 9
## 10 1
## 11 2
## 12 3
## 13 4
## 14 5
## 15 6
## 16 7
## 17 8
## 18 9
## 19 1
## 20 2
## 21 3
## 22 4
## 23 5
## 24 6
## 25 7
## 26 8
## 27 9
## 28 1
## 29 2
## 30 3
## 31 4
## 32 5
## 33 6
## 34 7
## 35 8
## 36 9
## Covariance matrix structure
## 1 Varying means, equal variances, covariances fixed to 0 (Model 1)
## 2 Varying means, equal variances, covariances fixed to 0 (Model 1)
## 3 Varying means, equal variances, covariances fixed to 0 (Model 1)
## 4 Varying means, equal variances, covariances fixed to 0 (Model 1)
## 5 Varying means, equal variances, covariances fixed to 0 (Model 1)
## 6 Varying means, equal variances, covariances fixed to 0 (Model 1)
## 7 Varying means, equal variances, covariances fixed to 0 (Model 1)
## 8 Varying means, equal variances, covariances fixed to 0 (Model 1)
## 9 Varying means, equal variances, covariances fixed to 0 (Model 1)
## 10 Varying means, equal variances and covariances (Model 2)
## 11 Varying means, equal variances and covariances (Model 2)
## 12 Varying means, equal variances and covariances (Model 2)
## 13 Varying means, equal variances and covariances (Model 2)
## 14 Varying means, equal variances and covariances (Model 2)
## 15 Varying means, equal variances and covariances (Model 2)
## 16 Varying means, equal variances and covariances (Model 2)
## 17 Varying means, equal variances and covariances (Model 2)
## 18 Varying means, equal variances and covariances (Model 2)
## 19 Varying means and variances, covariances fixed to 0 (Model 3)
## 20 Varying means and variances, covariances fixed to 0 (Model 3)
## 21 Varying means and variances, covariances fixed to 0 (Model 3)
## 22 Varying means and variances, covariances fixed to 0 (Model 3)
## 23 Varying means and variances, covariances fixed to 0 (Model 3)
## 24 Varying means and variances, covariances fixed to 0 (Model 3)
## 25 Varying means and variances, covariances fixed to 0 (Model 3)
## 26 Varying means and variances, covariances fixed to 0 (Model 3)
## 27 Varying means and variances, covariances fixed to 0 (Model 3)
## 28 Varying means, variances, and covariances (Model 5)
## 29 Varying means, variances, and covariances (Model 5)
## 30 Varying means, variances, and covariances (Model 5)
## 31 Varying means, variances, and covariances (Model 5)
## 32 Varying means, variances, and covariances (Model 5)
## 33 Varying means, variances, and covariances (Model 5)
## 34 Varying means, variances, and covariances (Model 5)
## 35 Varying means, variances, and covariances (Model 5)
## 36 Varying means, variances, and covariances (Model 5)
## val
## 1 43336.47
## 2 39916.44
## 3 39620.20
## 4 38677.39
## 5 38162.33
## 6 19742.16
## 7 18464.61
## 8 18089.63
## 9 18478.03
## 10 39225.76
## 11 38423.41
## 12 38149.89
## 13 37676.34
## 14 18650.66
## 15 18264.05
## 16 17897.97
## 17 17712.54
## 18 17660.24
## 19 43336.47
## 20 35585.44
## 21 31132.00
## 22 27818.96
## 23 24544.97
## 24 22373.07
## 25 21054.65
## 26 19504.52
## 27 13200.08
## 28 39225.76
## 29 32462.31
## 30 28420.53
## 31 25140.39
## 32 22443.69
## 33 20339.52
## 34 19025.17
## 35 15637.47
## 36 12098.42Mplus
2A: All five variables w/ no prior
## n_profiles model_1 model_2 model_3
## 1 2 39916.157 38423.266 Convergence problem
## 2 3 39082.592 38049.877 Convergence problem
## 3 4 Convergence problem 37623.057 Convergence problem
## 4 5 Convergence problem LL not replicated Convergence problem
## 5 6 Convergence problem 37007.914 Convergence problem
## 6 7 Convergence problem 36874.378 Convergence problem
## 7 8 Convergence problem LL not replicated Convergence problem
## 8 9 Convergence problem Convergence problem Convergence problem
## 9 10 Convergence problem Convergence problem Convergence problem
## model_4 model_5 model_6
## 1 Convergence problem Convergence problem Convergence problem
## 2 Convergence problem Convergence problem Convergence problem
## 3 Convergence problem Convergence problem Convergence problem
## 4 Convergence problem Convergence problem Convergence problem
## 5 Convergence problem Convergence problem Convergence problem
## 6 Convergence problem Convergence problem Convergence problem
## 7 Convergence problem Convergence problem Convergence problem
## 8 Convergence problem Convergence problem Convergence problem
## 9 Convergence problem Convergence problem Convergence problem
2B: All five variables standardized w/ no prior
## n_profiles model_1 model_2 model_3
## 1 2 38639.754 37146.863 Convergence problem
## 2 3 37806.188 36773.473 Convergence problem
## 3 4 Convergence problem 36346.654 Convergence problem
## 4 5 Convergence problem LL not replicated Convergence problem
## 5 6 Convergence problem 35731.511 Convergence problem
## 6 7 Convergence problem 35597.975 Convergence problem
## 7 8 Convergence problem LL not replicated Convergence problem
## 8 9 Convergence problem Convergence problem Convergence problem
## 9 10 Convergence problem Convergence problem Convergence problem
## model_4 model_5 model_6
## 1 Convergence problem Convergence problem Convergence problem
## 2 Convergence problem Convergence problem Convergence problem
## 3 Convergence problem Convergence problem Convergence problem
## 4 Convergence problem Convergence problem Convergence problem
## 5 Convergence problem Convergence problem Convergence problem
## 6 Convergence problem Convergence problem Convergence problem
## 7 Convergence problem Convergence problem Convergence problem
## 8 Convergence problem Convergence problem Convergence problem
## 9 Convergence problem Convergence problem Convergence problem