Compute summaries from alternative estimation replications
compute_alt_stats.RdCompute summaries from alternative estimation replications
Usage
compute_alt_stats(object, type = "bootstrap", quantiles = c(0.025, 0.5, 0.975))Examples
# \donttest{
boot_reps <- replicate_bootstrap(
number_bootstraps = 5,
data = teacher_expectancy,
studyID = "study",
effectID = NULL,
sample_size = NULL,
formula = yi ~ 1,
variance = "vi",
varcov_type = "univariate",
structure = "univariate"
)
compute_alt_stats(boot_reps, type = "bootstrap")
#> $summary
#> point_estimate ci_lower ci_upper
#> (Intercept) 0.0966967194 0.0588660358 0.165128652
#> Tau 0.0232841828 0.0133143469 0.041197812
#> hessian_beta 0.0683372233 0.0564386743 0.072820415
#> hessian_tau 0.0303172118 0.0218153986 0.035866821
#> hessian_info.vcov_1 0.0046699761 0.0031853985 0.005304639
#> hessian_info.vcov_2 0.0007960386 0.0004470315 0.001521226
#> hessian_info.vcov_3 0.0007960386 0.0004470315 0.001521226
#> hessian_info.vcov_4 0.0009191333 0.0004763336 0.001289302
#> hessian_info.se_1 0.0683372233 0.0564386743 0.072820415
#> hessian_info.se_2 0.0303172118 0.0218153986 0.035866821
#> hessian_info.scale 2.0000000000 2.0000000000 2.000000000
#> QE 35.4704446235 31.0984927605 41.775066386
#> QM 3.2965585871 1.3012224868 6.754834050
#> I2_within 49.6999008957 30.2898533022 63.838161548
#> I2_jackson 55.8743865890 39.8873518322 69.227607435
#> I2_between 33.0671111941 17.9186196483 47.037018845
#> logLik -4.4407486700 -6.1969607767 -1.709068621
#> Dev 8.8814973400 3.4181372413 12.393921553
#> AIC 12.8814973400 7.4181372413 16.393921553
#> BIC 14.6622408558 9.1988807570 18.174665069
#> AICc 17.4968819554 12.0335218566 21.009306169
#> F_test 0.1458349180 0.0528999186 0.285067505
#> F_test1 1.0000000000 1.0000000000 1.000000000
#> F_test2 18.0000000000 18.0000000000 18.000000000
#> sd 0.1525915553 0.1151976475 0.202775499
#>
#> $quantiles
#> 2.5% 50.0% 97.5%
#> (Intercept) 0.0588660358 0.0966967194 0.165128652
#> Tau 0.0133143469 0.0232841828 0.041197812
#> hessian_beta 0.0564386743 0.0683372233 0.072820415
#> hessian_tau 0.0218153986 0.0303172118 0.035866821
#> hessian_info.vcov_1 0.0031853985 0.0046699761 0.005304639
#> hessian_info.vcov_2 0.0004470315 0.0007960386 0.001521226
#> hessian_info.vcov_3 0.0004470315 0.0007960386 0.001521226
#> hessian_info.vcov_4 0.0004763336 0.0009191333 0.001289302
#> hessian_info.se_1 0.0564386743 0.0683372233 0.072820415
#> hessian_info.se_2 0.0218153986 0.0303172118 0.035866821
#> hessian_info.scale 2.0000000000 2.0000000000 2.000000000
#> QE 31.0984927605 35.4704446235 41.775066386
#> QM 1.3012224868 3.2965585871 6.754834050
#> I2_within 30.2898533022 49.6999008957 63.838161548
#> I2_jackson 39.8873518322 55.8743865890 69.227607435
#> I2_between 17.9186196483 33.0671111941 47.037018845
#> logLik -6.1969607767 -4.4407486700 -1.709068621
#> Dev 3.4181372413 8.8814973400 12.393921553
#> AIC 7.4181372413 12.8814973400 16.393921553
#> BIC 9.1988807570 14.6622408558 18.174665069
#> AICc 12.0335218566 17.4968819554 21.009306169
#> F_test 0.0528999186 0.1458349180 0.285067505
#> F_test1 1.0000000000 1.0000000000 1.000000000
#> F_test2 18.0000000000 18.0000000000 18.000000000
#> sd 0.1151976475 0.1525915553 0.202775499
#>
#> $model_information
#> $model_information$object
#> $formula
#> yi ~ 1
#> <environment: 0x5651bbe9fa18>
#>
#> $scale_formula
#> NULL
#>
#> $data
#> study author year weeks setting tester n1i n2i yi vi
#> 1 1 Rosenthal et al. 1974 2 group aware 77 339 0.03 0.0156
#> 7 2 Fielder et al. 1971 17 group blind 110 636 -0.02 0.0106
#> 10 3 Maxwell 1970 1 indiv blind 32 32 0.80 0.0630
#> 19 4 Ginsburg 1970 7 group aware 65 67 -0.07 0.0303
#> 13 5 Keshock 1970 1 indiv blind 24 24 -0.02 0.0835
#> 5 6 Pellegrini & Hicks 1972 0 group blind 11 22 0.26 0.1362
#> 10.1 7 Maxwell 1970 1 indiv blind 32 32 0.80 0.0630
#> 18 8 Fleming & Anttonen 1971 2 group blind 233 224 0.07 0.0088
#> 18.1 9 Fleming & Anttonen 1971 2 group blind 233 224 0.07 0.0088
#> 16 10 Grieger 1970 5 group blind 72 72 -0.06 0.0279
#> 18.2 11 Fleming & Anttonen 1971 2 group blind 233 224 0.07 0.0088
#> 12 12 Flowers 1966 0 group blind 43 38 0.18 0.0497
#> 10.2 13 Maxwell 1970 1 indiv blind 32 32 0.80 0.0630
#> 1.1 14 Rosenthal et al. 1974 2 group aware 77 339 0.03 0.0156
#> 14 15 Henrikson 1970 2 indiv blind 19 32 0.23 0.0841
#> 9 16 Kester 1969 0 group aware 75 74 0.27 0.0269
#> 8 17 Claiborn 1969 24 group aware 26 99 -0.32 0.0484
#> 4 18 Pellegrini & Hicks 1972 0 group aware 11 22 1.18 0.1391
#> 9.1 19 Kester 1969 0 group aware 75 74 0.27 0.0269
#> old_studyid
#> 1 1
#> 7 7
#> 10 10
#> 19 19
#> 13 13
#> 5 5
#> 10.1 10
#> 18 18
#> 18.1 18
#> 16 16
#> 18.2 18
#> 12 12
#> 10.2 10
#> 1.1 1
#> 14 14
#> 9 9
#> 8 8
#> 4 4
#> 9.1 9
#>
#> $estimator
#> [1] "REML"
#>
#> $est_values
#> $est_values$mu
#> [1] 0.1688114
#>
#> $est_values$Tau
#> [,1]
#> [1,] 0.04233521
#>
#> $est_values$Tau_by_study
#> NULL
#>
#> $est_values$gamma
#> NULL
#>
#> $est_values$hessian_beta
#> [1] 0.06876613
#>
#> $est_values$hessian_tau
#> [1] 0.03643184
#>
#> $est_values$hessian_gamma
#> NULL
#>
#> $est_values$hessian_info
#> $est_values$hessian_info$vcov
#> [,1] [,2]
#> [1,] 0.0047287813 0.0009421922
#> [2,] 0.0009421922 0.0013272788
#>
#> $est_values$hessian_info$se
#> [1] 0.06876613 0.03643184
#>
#> $est_values$hessian_info$ok
#> [1] TRUE
#>
#> $est_values$hessian_info$method
#> [1] "chol2inv"
#>
#> $est_values$hessian_info$scale
#> [1] 2
#>
#> $est_values$hessian_info$message
#> NULL
#>
#>
#>
#> $beta_fe
#> [,1]
#> [1,] 0.1073005
#>
#> $random_names
#> NULL
#>
#> $dim_random
#> NULL
#>
#> $random_data
#> NULL
#>
#> $QE
#> $QE$value
#> [,1]
#> [1,] 42.32258
#>
#> $QE$df
#> [1] 18
#>
#> $QE$p
#> [,1]
#> [1,] 0.0009967167
#>
#> $QE$p_r
#> [,1]
#> [1,] "p = 0.001"
#>
#>
#> $QE_w
#> NULL
#>
#> $effect_size
#> [1] 0.03 -0.02 0.80 -0.07 -0.02 0.26 0.80 0.07 0.07 -0.06 0.07 0.18
#> [13] 0.80 0.03 0.23 0.27 -0.32 1.18 0.27
#>
#> $effect_size_name
#> [1] "yi"
#>
#> $structure
#> [1] "univariate"
#>
#> $q_f
#> [1] 1
#>
#> $q_r
#> [1] 1
#>
#> $design_matrix
#> (Intercept)
#> 1 1
#> 7 1
#> 10 1
#> 19 1
#> 13 1
#> 5 1
#> 10.1 1
#> 18 1
#> 18.1 1
#> 16 1
#> 18.2 1
#> 12 1
#> 10.2 1
#> 1.1 1
#> 14 1
#> 9 1
#> 8 1
#> 4 1
#> 9.1 1
#>
#> $weight_matrix
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8]
#> [1,] 17.26066 0.00000 0.000000 0.00000 0.000000 0.000000 0.000000 0.000
#> [2,] 0.00000 18.89102 0.000000 0.00000 0.000000 0.000000 0.000000 0.000
#> [3,] 0.00000 0.00000 9.493501 0.00000 0.000000 0.000000 0.000000 0.000
#> [4,] 0.00000 0.00000 0.000000 13.76743 0.000000 0.000000 0.000000 0.000
#> [5,] 0.00000 0.00000 0.000000 0.00000 7.946901 0.000000 0.000000 0.000
#> [6,] 0.00000 0.00000 0.000000 0.00000 0.000000 5.601136 0.000000 0.000
#> [7,] 0.00000 0.00000 0.000000 0.00000 0.000000 0.000000 9.493501 0.000
#> [8,] 0.00000 0.00000 0.000000 0.00000 0.000000 0.000000 0.000000 19.556
#> [9,] 0.00000 0.00000 0.000000 0.00000 0.000000 0.000000 0.000000 0.000
#> [10,] 0.00000 0.00000 0.000000 0.00000 0.000000 0.000000 0.000000 0.000
#> [11,] 0.00000 0.00000 0.000000 0.00000 0.000000 0.000000 0.000000 0.000
#> [12,] 0.00000 0.00000 0.000000 0.00000 0.000000 0.000000 0.000000 0.000
#> [13,] 0.00000 0.00000 0.000000 0.00000 0.000000 0.000000 0.000000 0.000
#> [14,] 0.00000 0.00000 0.000000 0.00000 0.000000 0.000000 0.000000 0.000
#> [15,] 0.00000 0.00000 0.000000 0.00000 0.000000 0.000000 0.000000 0.000
#> [16,] 0.00000 0.00000 0.000000 0.00000 0.000000 0.000000 0.000000 0.000
#> [17,] 0.00000 0.00000 0.000000 0.00000 0.000000 0.000000 0.000000 0.000
#> [18,] 0.00000 0.00000 0.000000 0.00000 0.000000 0.000000 0.000000 0.000
#> [19,] 0.00000 0.00000 0.000000 0.00000 0.000000 0.000000 0.000000 0.000
#> [,9] [,10] [,11] [,12] [,13] [,14] [,15] [,16]
#> [1,] 0.000 0.00000 0.000 0.00000 0.000000 0.00000 0.000000 0.00000
#> [2,] 0.000 0.00000 0.000 0.00000 0.000000 0.00000 0.000000 0.00000
#> [3,] 0.000 0.00000 0.000 0.00000 0.000000 0.00000 0.000000 0.00000
#> [4,] 0.000 0.00000 0.000 0.00000 0.000000 0.00000 0.000000 0.00000
#> [5,] 0.000 0.00000 0.000 0.00000 0.000000 0.00000 0.000000 0.00000
#> [6,] 0.000 0.00000 0.000 0.00000 0.000000 0.00000 0.000000 0.00000
#> [7,] 0.000 0.00000 0.000 0.00000 0.000000 0.00000 0.000000 0.00000
#> [8,] 0.000 0.00000 0.000 0.00000 0.000000 0.00000 0.000000 0.00000
#> [9,] 19.556 0.00000 0.000 0.00000 0.000000 0.00000 0.000000 0.00000
#> [10,] 0.000 14.23787 0.000 0.00000 0.000000 0.00000 0.000000 0.00000
#> [11,] 0.000 0.00000 19.556 0.00000 0.000000 0.00000 0.000000 0.00000
#> [12,] 0.000 0.00000 0.000 10.86541 0.000000 0.00000 0.000000 0.00000
#> [13,] 0.000 0.00000 0.000 0.00000 9.493501 0.00000 0.000000 0.00000
#> [14,] 0.000 0.00000 0.000 0.00000 0.000000 17.26066 0.000000 0.00000
#> [15,] 0.000 0.00000 0.000 0.00000 0.000000 0.00000 7.909189 0.00000
#> [16,] 0.000 0.00000 0.000 0.00000 0.000000 0.00000 0.000000 14.44352
#> [17,] 0.000 0.00000 0.000 0.00000 0.000000 0.00000 0.000000 0.00000
#> [18,] 0.000 0.00000 0.000 0.00000 0.000000 0.00000 0.000000 0.00000
#> [19,] 0.000 0.00000 0.000 0.00000 0.000000 0.00000 0.000000 0.00000
#> [,17] [,18] [,19]
#> [1,] 0.00000 0.000000 0.00000
#> [2,] 0.00000 0.000000 0.00000
#> [3,] 0.00000 0.000000 0.00000
#> [4,] 0.00000 0.000000 0.00000
#> [5,] 0.00000 0.000000 0.00000
#> [6,] 0.00000 0.000000 0.00000
#> [7,] 0.00000 0.000000 0.00000
#> [8,] 0.00000 0.000000 0.00000
#> [9,] 0.00000 0.000000 0.00000
#> [10,] 0.00000 0.000000 0.00000
#> [11,] 0.00000 0.000000 0.00000
#> [12,] 0.00000 0.000000 0.00000
#> [13,] 0.00000 0.000000 0.00000
#> [14,] 0.00000 0.000000 0.00000
#> [15,] 0.00000 0.000000 0.00000
#> [16,] 0.00000 0.000000 0.00000
#> [17,] 11.02108 0.000000 0.00000
#> [18,] 0.00000 5.511609 0.00000
#> [19,] 0.00000 0.000000 14.44352
#>
#> $Ss
#> $Ss[[1]]
#> [1] 0.0156
#>
#> $Ss[[2]]
#> [1] 0.0106
#>
#> $Ss[[3]]
#> [1] 0.063
#>
#> $Ss[[4]]
#> [1] 0.0303
#>
#> $Ss[[5]]
#> [1] 0.0835
#>
#> $Ss[[6]]
#> [1] 0.1362
#>
#> $Ss[[7]]
#> [1] 0.063
#>
#> $Ss[[8]]
#> [1] 0.0088
#>
#> $Ss[[9]]
#> [1] 0.0088
#>
#> $Ss[[10]]
#> [1] 0.0279
#>
#> $Ss[[11]]
#> [1] 0.0088
#>
#> $Ss[[12]]
#> [1] 0.0497
#>
#> $Ss[[13]]
#> [1] 0.063
#>
#> $Ss[[14]]
#> [1] 0.0156
#>
#> $Ss[[15]]
#> [1] 0.0841
#>
#> $Ss[[16]]
#> [1] 0.0269
#>
#> $Ss[[17]]
#> [1] 0.0484
#>
#> $Ss[[18]]
#> [1] 0.1391
#>
#> $Ss[[19]]
#> [1] 0.0269
#>
#>
#> $outcome_name
#> [1] "yi"
#>
#> $study_id
#> [1] "study"
#>
#> $effect_id
#> NULL
#>
#> $variance
#> [1] "vi"
#>
#> $variance_name
#> [1] "vi"
#>
#> $sample_size_name
#> NULL
#>
#> $fixed_tau2
#> [1] FALSE
#>
#> $tau2_input
#> NULL
#>
#> $missing_data
#> $missing_data$method
#> [1] "remove"
#>
#> $missing_data$em
#> $missing_data$em$applied
#> [1] FALSE
#>
#> $missing_data$em$converged
#> [1] NA
#>
#> $missing_data$em$iterations
#> [1] 0
#>
#> $missing_data$em$columns
#> character(0)
#>
#>
#>
#> $scale_design_matrix
#> NULL
#>
#> $data
#> study author year weeks setting tester n1i n2i yi vi
#> 1 1 Rosenthal et al. 1974 2 group aware 77 339 0.03 0.0156
#> 7 2 Fielder et al. 1971 17 group blind 110 636 -0.02 0.0106
#> 10 3 Maxwell 1970 1 indiv blind 32 32 0.80 0.0630
#> 19 4 Ginsburg 1970 7 group aware 65 67 -0.07 0.0303
#> 13 5 Keshock 1970 1 indiv blind 24 24 -0.02 0.0835
#> 5 6 Pellegrini & Hicks 1972 0 group blind 11 22 0.26 0.1362
#> 10.1 7 Maxwell 1970 1 indiv blind 32 32 0.80 0.0630
#> 18 8 Fleming & Anttonen 1971 2 group blind 233 224 0.07 0.0088
#> 18.1 9 Fleming & Anttonen 1971 2 group blind 233 224 0.07 0.0088
#> 16 10 Grieger 1970 5 group blind 72 72 -0.06 0.0279
#> 18.2 11 Fleming & Anttonen 1971 2 group blind 233 224 0.07 0.0088
#> 12 12 Flowers 1966 0 group blind 43 38 0.18 0.0497
#> 10.2 13 Maxwell 1970 1 indiv blind 32 32 0.80 0.0630
#> 1.1 14 Rosenthal et al. 1974 2 group aware 77 339 0.03 0.0156
#> 14 15 Henrikson 1970 2 indiv blind 19 32 0.23 0.0841
#> 9 16 Kester 1969 0 group aware 75 74 0.27 0.0269
#> 8 17 Claiborn 1969 24 group aware 26 99 -0.32 0.0484
#> 4 18 Pellegrini & Hicks 1972 0 group aware 11 22 1.18 0.1391
#> 9.1 19 Kester 1969 0 group aware 75 74 0.27 0.0269
#> old_studyid
#> 1 1
#> 7 7
#> 10 10
#> 19 19
#> 13 13
#> 5 5
#> 10.1 10
#> 18 18
#> 18.1 18
#> 16 16
#> 18.2 18
#> 12 12
#> 10.2 10
#> 1.1 1
#> 14 14
#> 9 9
#> 8 8
#> 4 4
#> 9.1 9
#>
#> $est_values
#> $est_values$mu
#> [1] 0.1688114
#>
#> $est_values$Tau
#> [,1]
#> [1,] 0.04233521
#>
#> $est_values$Tau_by_study
#> NULL
#>
#> $est_values$gamma
#> NULL
#>
#> $est_values$hessian_beta
#> [1] 0.06876613
#>
#> $est_values$hessian_tau
#> [1] 0.03643184
#>
#> $est_values$hessian_gamma
#> NULL
#>
#> $est_values$hessian_info
#> $est_values$hessian_info$vcov
#> [,1] [,2]
#> [1,] 0.0047287813 0.0009421922
#> [2,] 0.0009421922 0.0013272788
#>
#> $est_values$hessian_info$se
#> [1] 0.06876613 0.03643184
#>
#> $est_values$hessian_info$ok
#> [1] TRUE
#>
#> $est_values$hessian_info$method
#> [1] "chol2inv"
#>
#> $est_values$hessian_info$scale
#> [1] 2
#>
#> $est_values$hessian_info$message
#> NULL
#>
#>
#>
#> $optim_values
#> $optim_values$par
#> [1] 0.16881143 0.04233521
#>
#> $optim_values$value
#> [1] -18.06111
#>
#> $optim_values$counts
#> function gradient
#> 22 22
#>
#> $optim_values$convergence
#> [1] 0
#>
#> $optim_values$message
#> [1] "CONVERGENCE: REL_REDUCTION_OF_F <= FACTR*EPSMCH"
#>
#> $optim_values$hessian
#> [,1] [,2]
#> [1,] 492.6170 -349.6928
#> [2,] -349.6928 1755.0781
#>
#>
#> $invPsi
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8]
#> [1,] 17.26066 0.00000 0.000000 0.00000 0.000000 0.000000 0.000000 0.000
#> [2,] 0.00000 18.89102 0.000000 0.00000 0.000000 0.000000 0.000000 0.000
#> [3,] 0.00000 0.00000 9.493501 0.00000 0.000000 0.000000 0.000000 0.000
#> [4,] 0.00000 0.00000 0.000000 13.76743 0.000000 0.000000 0.000000 0.000
#> [5,] 0.00000 0.00000 0.000000 0.00000 7.946901 0.000000 0.000000 0.000
#> [6,] 0.00000 0.00000 0.000000 0.00000 0.000000 5.601136 0.000000 0.000
#> [7,] 0.00000 0.00000 0.000000 0.00000 0.000000 0.000000 9.493501 0.000
#> [8,] 0.00000 0.00000 0.000000 0.00000 0.000000 0.000000 0.000000 19.556
#> [9,] 0.00000 0.00000 0.000000 0.00000 0.000000 0.000000 0.000000 0.000
#> [10,] 0.00000 0.00000 0.000000 0.00000 0.000000 0.000000 0.000000 0.000
#> [11,] 0.00000 0.00000 0.000000 0.00000 0.000000 0.000000 0.000000 0.000
#> [12,] 0.00000 0.00000 0.000000 0.00000 0.000000 0.000000 0.000000 0.000
#> [13,] 0.00000 0.00000 0.000000 0.00000 0.000000 0.000000 0.000000 0.000
#> [14,] 0.00000 0.00000 0.000000 0.00000 0.000000 0.000000 0.000000 0.000
#> [15,] 0.00000 0.00000 0.000000 0.00000 0.000000 0.000000 0.000000 0.000
#> [16,] 0.00000 0.00000 0.000000 0.00000 0.000000 0.000000 0.000000 0.000
#> [17,] 0.00000 0.00000 0.000000 0.00000 0.000000 0.000000 0.000000 0.000
#> [18,] 0.00000 0.00000 0.000000 0.00000 0.000000 0.000000 0.000000 0.000
#> [19,] 0.00000 0.00000 0.000000 0.00000 0.000000 0.000000 0.000000 0.000
#> [,9] [,10] [,11] [,12] [,13] [,14] [,15] [,16]
#> [1,] 0.000 0.00000 0.000 0.00000 0.000000 0.00000 0.000000 0.00000
#> [2,] 0.000 0.00000 0.000 0.00000 0.000000 0.00000 0.000000 0.00000
#> [3,] 0.000 0.00000 0.000 0.00000 0.000000 0.00000 0.000000 0.00000
#> [4,] 0.000 0.00000 0.000 0.00000 0.000000 0.00000 0.000000 0.00000
#> [5,] 0.000 0.00000 0.000 0.00000 0.000000 0.00000 0.000000 0.00000
#> [6,] 0.000 0.00000 0.000 0.00000 0.000000 0.00000 0.000000 0.00000
#> [7,] 0.000 0.00000 0.000 0.00000 0.000000 0.00000 0.000000 0.00000
#> [8,] 0.000 0.00000 0.000 0.00000 0.000000 0.00000 0.000000 0.00000
#> [9,] 19.556 0.00000 0.000 0.00000 0.000000 0.00000 0.000000 0.00000
#> [10,] 0.000 14.23787 0.000 0.00000 0.000000 0.00000 0.000000 0.00000
#> [11,] 0.000 0.00000 19.556 0.00000 0.000000 0.00000 0.000000 0.00000
#> [12,] 0.000 0.00000 0.000 10.86541 0.000000 0.00000 0.000000 0.00000
#> [13,] 0.000 0.00000 0.000 0.00000 9.493501 0.00000 0.000000 0.00000
#> [14,] 0.000 0.00000 0.000 0.00000 0.000000 17.26066 0.000000 0.00000
#> [15,] 0.000 0.00000 0.000 0.00000 0.000000 0.00000 7.909189 0.00000
#> [16,] 0.000 0.00000 0.000 0.00000 0.000000 0.00000 0.000000 14.44352
#> [17,] 0.000 0.00000 0.000 0.00000 0.000000 0.00000 0.000000 0.00000
#> [18,] 0.000 0.00000 0.000 0.00000 0.000000 0.00000 0.000000 0.00000
#> [19,] 0.000 0.00000 0.000 0.00000 0.000000 0.00000 0.000000 0.00000
#> [,17] [,18] [,19]
#> [1,] 0.00000 0.000000 0.00000
#> [2,] 0.00000 0.000000 0.00000
#> [3,] 0.00000 0.000000 0.00000
#> [4,] 0.00000 0.000000 0.00000
#> [5,] 0.00000 0.000000 0.00000
#> [6,] 0.00000 0.000000 0.00000
#> [7,] 0.00000 0.000000 0.00000
#> [8,] 0.00000 0.000000 0.00000
#> [9,] 0.00000 0.000000 0.00000
#> [10,] 0.00000 0.000000 0.00000
#> [11,] 0.00000 0.000000 0.00000
#> [12,] 0.00000 0.000000 0.00000
#> [13,] 0.00000 0.000000 0.00000
#> [14,] 0.00000 0.000000 0.00000
#> [15,] 0.00000 0.000000 0.00000
#> [16,] 0.00000 0.000000 0.00000
#> [17,] 11.02108 0.000000 0.00000
#> [18,] 0.00000 5.511609 0.00000
#> [19,] 0.00000 0.000000 14.44352
#>
#> $relative_weights
#> [1] 0.07007741 0.07669657 0.03854314 0.05589506 0.03226402 0.02274033
#> [7] 0.03854314 0.07939635 0.07939635 0.05780504 0.07939635 0.04411300
#> [13] 0.03854314 0.07007741 0.03211091 0.05863995 0.04474503 0.02237686
#> [19] 0.05863995
#>
#> $beta_r
#> [,1]
#> [1,] 0.1688114
#>
#> $varcov_beta
#> [,1]
#> [1,] 0.00405995
#>
#> $varcov_tau
#> [1] 0.03643184
#>
#> $beta_r_int
#> [,1]
#> [1,] 0.1688114
#>
#> $varcov_beta_int
#> [,1]
#> [1,] 0.00405995
#>
#> $QM
#> $QM$value
#> [,1]
#> [1,] 7.019126
#>
#> $QM$df
#> [1] 1
#>
#> $QM$p
#> [,1]
#> [1,] 0.008064358
#>
#>
#> $F_test
#> $F_test$value
#> [,1]
#> [1,] 0.2959877
#>
#> $F_test$df1
#> [1] 1
#>
#> $F_test$df2
#> [1] 18
#>
#> $F_test$p
#> [,1]
#> [1,] 0.5930846
#>
#>
#> $I2_within
#> [1] 65.3665
#>
#> $I2_jackson
#> [1] 70.44704
#>
#> $I2_between
#> [1] 48.55143
#>
#> $fit_stats
#> logLik Dev AIC BIC AICc
#> 1 -6.03812 12.07624 16.07624 17.85698 20.69162
#>
#> $fitted_values
#> [,1]
#> 1 0.1688114
#> 7 0.1688114
#> 10 0.1688114
#> 19 0.1688114
#> 13 0.1688114
#> 5 0.1688114
#> 10.1 0.1688114
#> 18 0.1688114
#> 18.1 0.1688114
#> 16 0.1688114
#> 18.2 0.1688114
#> 12 0.1688114
#> 10.2 0.1688114
#> 1.1 0.1688114
#> 14 0.1688114
#> 9 0.1688114
#> 8 0.1688114
#> 4 0.1688114
#> 9.1 0.1688114
#>
#> $residuals
#> [,1]
#> 1 -0.13881143
#> 7 -0.18881143
#> 10 0.63118857
#> 19 -0.23881143
#> 13 -0.18881143
#> 5 0.09118857
#> 10.1 0.63118857
#> 18 -0.09881143
#> 18.1 -0.09881143
#> 16 -0.22881143
#> 18.2 -0.09881143
#> 12 0.01118857
#> 10.2 0.63118857
#> 1.1 -0.13881143
#> 14 0.06118857
#> 9 0.10118857
#> 8 -0.48881143
#> 4 1.01118857
#> 9.1 0.10118857
#>
#> $scale_coefficients
#> NULL
#>
#> $varcov_scale
#> NULL
#>
#> $scale_formula
#> NULL
#>
#> $effect_size
#> [1] 0.03 -0.02 0.80 -0.07 -0.02 0.26 0.80 0.07 0.07 -0.06 0.07 0.18
#> [13] 0.80 0.03 0.23 0.27 -0.32 1.18 0.27
#>
#> $effect_size_name
#> [1] "yi"
#>
#> $study_id
#> [1] "study"
#>
#> $effect_id
#> NULL
#>
#> $variance
#> [1] "vi"
#>
#> $variance_name
#> [1] "vi"
#>
#> $sample_size_name
#> NULL
#>
#> $robust
#> NULL
#>
#> $estimation_method
#> [1] "REML"
#>
#> $structure
#> [1] "univariate"
#>
#> $hessian_info
#> $hessian_info$vcov
#> [,1] [,2]
#> [1,] 0.0047287813 0.0009421922
#> [2,] 0.0009421922 0.0013272788
#>
#> $hessian_info$se
#> [1] 0.06876613 0.03643184
#>
#> $hessian_info$ok
#> [1] TRUE
#>
#> $hessian_info$method
#> [1] "chol2inv"
#>
#> $hessian_info$scale
#> [1] 2
#>
#> $hessian_info$message
#> NULL
#>
#>
#> $design_matrix
#> (Intercept)
#> 1 1
#> 7 1
#> 10 1
#> 19 1
#> 13 1
#> 5 1
#> 10.1 1
#> 18 1
#> 18.1 1
#> 16 1
#> 18.2 1
#> 12 1
#> 10.2 1
#> 1.1 1
#> 14 1
#> 9 1
#> 8 1
#> 4 1
#> 9.1 1
#>
#> $estimator
#> [1] "REML"
#>
#> attr(,"class")
#> [1] "mars"
#>
#> $model_information$correlations
#> term var SD
#> 1 intercept 0.04233521 0.2057552
#>
#> $model_information$random_stats
#> NULL
#>
#> $model_information$fixed_effect
#> [1] FALSE
#>
#> $model_information$beta
#> attribute estimate SE z_test p_value lower upper
#> 1 (Intercept) 0.1688114 0.06371773 2.649363 0.008064358 0.04392696 0.2936959
#>
#> $model_information$beta_robust
#> NULL
#>
#> $model_information$dimensions
#> $model_information$dimensions$number_random
#> [1] 1
#>
#> $model_information$dimensions$number_fixed
#> [1] 1
#>
#> $model_information$dimensions$number_effectsize
#> [1] 19
#>
#> $model_information$dimensions$dim_random
#> NULL
#>
#>
#> $model_information$digits
#> [1] 4
#>
#> $model_information$i2_fe_part2
#> NULL
#>
#> $model_information$lambda
#> NULL
#>
#> $model_information$scale_beta
#> NULL
#>
#> $model_information$residual_diagnostics
#> $structure
#> [1] "univariate"
#>
#> $residuals
#> index fitted raw pearson studentized whitened cluster
#> 1 1 0.1688114 -0.13881143 -0.57670526 -0.59804038 -0.57670526 1
#> 2 2 0.1688114 -0.18881143 -0.82064615 -0.85405082 -0.82064615 2
#> 3 3 0.1688114 0.63118857 1.94478832 1.98338687 1.94478832 3
#> 4 4 0.1688114 -0.23881143 -0.88609746 -0.91195070 -0.88609746 4
#> 5 5 0.1688114 -0.18881143 -0.53226411 -0.54106412 -0.53226411 5
#> 6 6 0.1688114 0.09118857 0.21581343 0.21830993 0.21581343 6
#> 7 7 0.1688114 0.63118857 1.94478832 1.98338687 1.94478832 7
#> 8 8 0.1688114 -0.09881143 -0.43696548 -0.45541863 -0.43696548 8
#> 9 9 0.1688114 -0.09881143 -0.43696548 -0.45541863 -0.43696548 9
#> 10 10 0.1688114 -0.22881143 -0.86337656 -0.88946706 -0.86337656 10
#> 11 11 0.1688114 -0.09881143 -0.43696548 -0.45541863 -0.43696548 11
#> 12 12 0.1688114 0.01118857 0.03688057 0.03772197 0.03688057 12
#> 13 13 0.1688114 0.63118857 1.94478832 1.98338687 1.94478832 13
#> 14 14 0.1688114 -0.13881143 -0.57670526 -0.59804038 -0.57670526 14
#> 15 15 0.1688114 0.06118857 0.17208234 0.17491357 0.17208234 15
#> 16 16 0.1688114 0.10118857 0.38456340 0.39636023 0.38456340 16
#> 17 17 0.1688114 -0.48881143 -1.62275672 -1.66032750 -1.62275672 17
#> 18 18 0.1688114 1.01118857 2.37394888 2.40096387 2.37394888 18
#> 19 19 0.1688114 0.10118857 0.38456340 0.39636023 0.38456340 19
#>
#> $summary
#> n n_finite_raw mean_raw sd_raw rmse mae q_pearson
#> 1 19 19 0.07171489 0.3829777 0.379599 0.272569 23.71425
#> mean_abs_studentized max_abs_studentized prop_abs_studentized_gt2
#> 1 0.8944204 2.400964 0.05263158
#> prop_abs_studentized_gt3
#> 1 0
#>
#> $normality
#> test n_tested statistic p_value
#> 1 shapiro_wilk_whitened 19 0.8731306 0.01633556
#>
#> $heteroscedasticity
#> n corr_abs_raw_fitted slope p_value
#> 1 19 NA NA NA
#>
#> $by_cluster
#> study n mean_raw rmse mean_abs_studentized q_pearson
#> 1 1 1 -0.13881143 0.13881143 0.59804038 0.332588956
#> 2 2 1 -0.18881143 0.18881143 0.85405082 0.673460111
#> 3 3 1 0.63118857 0.63118857 1.98338687 3.782201594
#> 4 4 1 -0.23881143 0.23881143 0.91195070 0.785168717
#> 5 5 1 -0.18881143 0.18881143 0.54106412 0.283305078
#> 6 6 1 0.09118857 0.09118857 0.21830993 0.046575438
#> 7 7 1 0.63118857 0.63118857 1.98338687 3.782201594
#> 8 8 1 -0.09881143 0.09881143 0.45541863 0.190938835
#> 9 9 1 -0.09881143 0.09881143 0.45541863 0.190938835
#> 10 10 1 -0.22881143 0.22881143 0.88946706 0.745419089
#> 11 11 1 -0.09881143 0.09881143 0.45541863 0.190938835
#> 12 12 1 0.01118857 0.01118857 0.03772197 0.001360177
#> 13 13 1 0.63118857 0.63118857 1.98338687 3.782201594
#> 14 14 1 -0.13881143 0.13881143 0.59804038 0.332588956
#> 15 15 1 0.06118857 0.06118857 0.17491357 0.029612331
#> 16 16 1 0.10118857 0.10118857 0.39636023 0.147889010
#> 17 17 1 -0.48881143 0.48881143 1.66032750 2.633339372
#> 18 18 1 1.01118857 1.01118857 2.40096387 5.635633276
#> 19 19 1 0.10118857 0.10118857 0.39636023 0.147889010
#>
#> $by_outcome
#> NULL
#>
#> attr(,"class")
#> [1] "mars_residual_diagnostics"
#>
#>
#> $number_boots
#> [1] 5
#>
#> $number_repl
#> [1] 5
#>
#> $robust_type
#> [1] "bootstrap"
#>
#> $boot_repl
#> beta_r_(Intercept) est_values.mu_(Intercept) est_values.Tau
#> 1 0.16881143 0.16881143 0.04233521
#> 2 0.08131755 0.08131755 0.01824207
#> 3 0.05637142 0.05637142 0.01276682
#> 4 0.13198367 0.13198367 0.03096120
#> 5 0.09669672 0.09669672 0.02328418
#> est_values.hessian_beta est_values.hessian_tau est_values.hessian_info.vcov_1
#> 1 0.06876613 0.03643184 0.004728781
#> 2 0.05725798 0.02159886 0.003278476
#> 3 0.07327089 0.03078168 0.005368623
#> 4 0.06833722 0.03031721 0.004669976
#> 5 0.05634764 0.02376425 0.003175057
#> est_values.hessian_info.vcov_2 est_values.hessian_info.vcov_3
#> 1 0.0009421922 0.0009421922
#> 2 0.0005342114 0.0005342114
#> 3 0.0015855631 0.0015855631
#> 4 0.0007960386 0.0007960386
#> 5 0.0004373448 0.0004373448
#> est_values.hessian_info.vcov_4 est_values.hessian_info.se_1
#> 1 0.0013272788 0.06876613
#> 2 0.0004665107 0.05725798
#> 3 0.0009475117 0.07327089
#> 4 0.0009191333 0.06833722
#> 5 0.0005647396 0.05634764
#> est_values.hessian_info.se_2 est_values.hessian_info.scale QE.value QE.df
#> 1 0.03643184 2 42.32258 18
#> 2 0.02159886 2 31.09299 18
#> 3 0.03078168 2 31.14799 18
#> 4 0.03031721 2 36.84741 18
#> 5 0.02376425 2 35.47044 18
#> QE.p QM.value QM.df QM.p I2_within I2_jackson I2_between
#> 1 0.0009967167 7.019126 1 0.008064358 65.36650 70.44704 48.55143
#> 2 0.0280823111 2.479636 1 0.115328908 42.35010 50.08701 26.86339
#> 3 0.0276729020 1.170288 1 0.279342154 28.94983 38.75406 16.92476
#> 4 0.0054856064 4.376205 1 0.036444049 49.69990 58.25274 33.06711
#> 5 0.0082429878 3.296559 1 0.069425192 50.08315 55.87439 33.40728
#> fit_stats.logLik fit_stats.Dev fit_stats.AIC fit_stats.BIC fit_stats.AICc
#> 1 -6.038120 12.076240 16.076240 17.856983 20.69162
#> 2 -1.628927 3.257854 7.257854 9.038597 11.87324
#> 3 -4.440749 8.881497 12.881497 14.662241 17.49688
#> 4 -6.214610 12.429220 16.429220 18.209963 21.04460
#> 5 -2.430344 4.860688 8.860688 10.641432 13.47607
#> F_test.value F_test.df1 F_test.df2 F_test.p sd
#> 1 0.2959877 1 18 0.5930846 0.2057552
#> 2 0.1169324 1 18 0.7363457 0.1350632
#> 3 0.0457852 1 18 0.8329719 0.1129904
#> 4 0.1867859 1 18 0.6707383 0.1759579
#> 5 0.1458349 1 18 0.7070188 0.1525916
#>
#> attr(,"class")
#> [1] "mars_boot"
# }