# Load necessary packages (install if not present)
packages <- c("lavaan", "MASS", "semPlot", "dagitty", 'tidyverse')
lapply(packages, function(pkg) {
if (!requireNamespace(pkg, quietly = TRUE)) {
install.packages(pkg)
}
library(pkg, character.only = TRUE)
})
library(labelled)
library(haven)
library(dplyr)CFA
Initial Confirmatory Factor Analysis
In this document, a latent variable of Social Resources is created for each wave of the COVID-19 Cohort Study from the Social Provision Scales.
wave1 <- read_sav("covid-19_wave1_survey_cls.sav") |> mutate(wave = 1)
wave2 <- read_sav("covid-19_wave2_survey_cls.sav") |> mutate(wave = 2)
wave3 <- read_sav("covid-19_wave3_survey_cls.sav") |> mutate(wave = 3)
long_data1 <- bind_rows(wave1, wave2, wave3)
#Reverse coding SOCPROV_3
long_data1$CW1_SOCPROV_3 <- 4 - long_data1$CW1_SOCPROV_3
long_data1$CW2_SOCPROV_3 <- 4 - long_data1$CW2_SOCPROV_3
long_data1$CW3_SOCPROV_3 <- 4 - long_data1$CW3_SOCPROV_3
#converting labelled variables to numeric
long_data1 <- long_data1 |> mutate(across(where(is.labelled), as.numeric))
#converting CW1_EXCISESP to a consistent scale
long_data1 <- long_data1 |>
mutate(CW1_EXCISESP_scaled = scales::rescale(CW1_EXCISESP, to = c(0, 7)))
#removing unit errors or misunderstandings from CW1_FRTVEGSP
long_data1 <- long_data1 |>
mutate(
CW1_FRTVEGSP_trim = ifelse(CW1_FRTVEGSP > 20, NA, CW1_FRTVEGSP)
)
#reverse coding CW1_FOODAFFORD
long_data1 <- long_data1 |>
mutate(
ses_proxy = case_when(
CW1_FOODAFFORD == 1 ~ 4,
CW1_FOODAFFORD == 2 ~ 3,
CW1_FOODAFFORD == 3 ~ 2,
CW1_FOODAFFORD == 4 ~ 1,
TRUE ~ NA_real_
)
)summary(long_data1[, c(
"CW1_SOCPROV_1", "CW1_SOCPROV_2", "CW1_SOCPROV_3",
"CW2_SOCPROV_1", "CW2_SOCPROV_2", "CW2_SOCPROV_3",
"CW3_SOCPROV_1", "CW3_SOCPROV_2", "CW3_SOCPROV_3",
"CW1_EXCISESP", "CW2_EXCISESP", "CW3_EXCISESP",
"CW1_FRTVEGSP", "CW2_FRTVEGSP", "CW3_FRTVEGSP",
"CW1_FOODAFFORD"
)]) CW1_SOCPROV_1 CW1_SOCPROV_2 CW1_SOCPROV_3 CW2_SOCPROV_1
Min. :1.00 Min. :1.00 Min. :1.00 Min. :1.00
1st Qu.:1.00 1st Qu.:1.00 1st Qu.:1.00 1st Qu.:1.00
Median :1.00 Median :1.00 Median :1.00 Median :1.00
Mean :1.18 Mean :1.19 Mean :1.15 Mean :1.25
3rd Qu.:1.00 3rd Qu.:1.00 3rd Qu.:1.00 3rd Qu.:1.00
Max. :3.00 Max. :3.00 Max. :3.00 Max. :3.00
NA's :60798 NA's :60839 NA's :60902 NA's :55791
CW2_SOCPROV_2 CW2_SOCPROV_3 CW3_SOCPROV_1 CW3_SOCPROV_2
Min. :1.00 Min. :1.00 Min. :1.00 Min. :1.00
1st Qu.:1.00 1st Qu.:1.00 1st Qu.:1.00 1st Qu.:1.00
Median :1.00 Median :1.00 Median :1.00 Median :1.00
Mean :1.22 Mean :1.21 Mean :1.24 Mean :1.22
3rd Qu.:1.00 3rd Qu.:1.00 3rd Qu.:1.00 3rd Qu.:1.00
Max. :3.00 Max. :3.00 Max. :3.00 Max. :3.00
NA's :55798 NA's :55811 NA's :58130 NA's :58136
CW3_SOCPROV_3 CW1_EXCISESP CW2_EXCISESP CW3_EXCISESP
Min. :1.00 Min. : 0.00 Min. :0.00 Min. :0.00
1st Qu.:1.00 1st Qu.: 1.00 1st Qu.:1.00 1st Qu.:1.00
Median :1.00 Median : 3.00 Median :3.00 Median :3.00
Mean :1.21 Mean : 3.43 Mean :2.99 Mean :3.06
3rd Qu.:1.00 3rd Qu.: 5.00 3rd Qu.:5.00 3rd Qu.:5.00
Max. :3.00 Max. :20.00 Max. :7.00 Max. :7.00
NA's :58141 NA's :52018 NA's :44955 NA's :48200
CW1_FRTVEGSP CW2_FRTVEGSP CW3_FRTVEGSP CW1_FOODAFFORD
Min. : 0.0 Min. : 0.00 Min. : 0.00 Min. :1.00
1st Qu.: 3.0 1st Qu.: 3.00 1st Qu.: 3.00 1st Qu.:1.00
Median : 4.0 Median : 4.00 Median : 4.00 Median :1.00
Mean : 3.9 Mean : 3.86 Mean : 3.94 Mean :1.23
3rd Qu.: 5.0 3rd Qu.: 5.00 3rd Qu.: 5.00 3rd Qu.:1.00
Max. :150.0 Max. :20.00 Max. :20.00 Max. :4.00
NA's :52388 NA's :44916 NA's :48093 NA's :51433
vars <- c('CW1_SOCPROV_1', 'CW1_SOCPROV_2', 'CW1_SOCPROV_3',
'CW2_SOCPROV_1', 'CW2_SOCPROV_2', 'CW2_SOCPROV_3',
'CW3_SOCPROV_1', 'CW3_SOCPROV_2', 'CW3_SOCPROV_3',
'CW1_EXCISESP', 'CW2_EXCISESP', 'CW3_EXCISESP',
'CW1_FRTVEGSP', 'CW2_FRTVEGSP', 'CW3_FRTVEGSP',
'CW1_FOODAFFORD')
# Keep only variables that exist
vars <- vars[vars %in% names(long_data1)]
# Keep variables with some non-missing data
vars <- vars[colSums(!is.na(long_data1[, vars])) > 0]socialprov_t1 <- ' socialprov_t1 =~ CW1_SOCPROV_1 + CW1_SOCPROV_2 + CW1_SOCPROV_3'
fit <- lavaan::cfa(socialprov_t1, data = long_data1, missing = 'fiml')Warning: lavaan->lav_data_full():
some cases are empty and will be ignored: 1 2 3 4 5 6 7 8 9 10 11 12 13 14
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summary(fit, fit.measures = TRUE, standardized = TRUE)lavaan 0.6-19 ended normally after 22 iterations
Estimator ML
Optimization method NLMINB
Number of model parameters 9
Used Total
Number of observations 6728 67518
Number of missing patterns 6
Model Test User Model:
Test statistic 0.000
Degrees of freedom 0
Model Test Baseline Model:
Test statistic 3265.048
Degrees of freedom 3
P-value 0.000
User Model versus Baseline Model:
Comparative Fit Index (CFI) 1.000
Tucker-Lewis Index (TLI) 1.000
Robust Comparative Fit Index (CFI) 1.000
Robust Tucker-Lewis Index (TLI) 1.000
Loglikelihood and Information Criteria:
Loglikelihood user model (H0) -9827.708
Loglikelihood unrestricted model (H1) -9827.708
Akaike (AIC) 19673.416
Bayesian (BIC) 19734.742
Sample-size adjusted Bayesian (SABIC) 19706.142
Root Mean Square Error of Approximation:
RMSEA 0.000
90 Percent confidence interval - lower 0.000
90 Percent confidence interval - upper 0.000
P-value H_0: RMSEA <= 0.050 NA
P-value H_0: RMSEA >= 0.080 NA
Robust RMSEA 0.000
90 Percent confidence interval - lower 0.000
90 Percent confidence interval - upper 0.000
P-value H_0: Robust RMSEA <= 0.050 NA
P-value H_0: Robust RMSEA >= 0.080 NA
Standardized Root Mean Square Residual:
SRMR 0.000
Parameter Estimates:
Standard errors Standard
Information Observed
Observed information based on Hessian
Latent Variables:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
socialprov_t1 =~
CW1_SOCPROV_1 1.000 0.259 0.618
CW1_SOCPROV_2 1.332 0.044 29.997 0.000 0.345 0.764
CW1_SOCPROV_3 0.911 0.028 32.135 0.000 0.236 0.564
Intercepts:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.CW1_SOCPROV_1 1.184 0.005 231.634 0.000 1.184 2.825
.CW1_SOCPROV_2 1.191 0.006 215.860 0.000 1.191 2.639
.CW1_SOCPROV_3 1.145 0.005 223.296 0.000 1.145 2.741
Variances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.CW1_SOCPROV_1 0.108 0.003 39.094 0.000 0.108 0.618
.CW1_SOCPROV_2 0.085 0.004 21.625 0.000 0.085 0.416
.CW1_SOCPROV_3 0.119 0.003 44.438 0.000 0.119 0.681
socialprov_t1 0.067 0.003 21.321 0.000 1.000 1.000
socialprov_t2 <- ' socialprov_t2 =~ CW2_SOCPROV_1 + CW2_SOCPROV_2 + CW2_SOCPROV_3'
fit <- lavaan::cfa(socialprov_t2, data = long_data1, missing = 'fiml')
summary(fit, fit.measures = TRUE, standardized = TRUE)lavaan 0.6-19 ended normally after 23 iterations
Estimator ML
Optimization method NLMINB
Number of model parameters 9
Used Total
Number of observations 11732 67518
Number of missing patterns 6
Model Test User Model:
Test statistic 0.000
Degrees of freedom 0
Model Test Baseline Model:
Test statistic 6607.095
Degrees of freedom 3
P-value 0.000
User Model versus Baseline Model:
Comparative Fit Index (CFI) 1.000
Tucker-Lewis Index (TLI) 1.000
Robust Comparative Fit Index (CFI) 1.000
Robust Tucker-Lewis Index (TLI) 1.000
Loglikelihood and Information Criteria:
Loglikelihood user model (H0) -21174.544
Loglikelihood unrestricted model (H1) -21174.544
Akaike (AIC) 42367.089
Bayesian (BIC) 42433.419
Sample-size adjusted Bayesian (SABIC) 42404.818
Root Mean Square Error of Approximation:
RMSEA 0.000
90 Percent confidence interval - lower 0.000
90 Percent confidence interval - upper 0.000
P-value H_0: RMSEA <= 0.050 NA
P-value H_0: RMSEA >= 0.080 NA
Robust RMSEA 0.000
90 Percent confidence interval - lower 0.000
90 Percent confidence interval - upper 0.000
P-value H_0: Robust RMSEA <= 0.050 NA
P-value H_0: Robust RMSEA >= 0.080 NA
Standardized Root Mean Square Residual:
SRMR 0.000
Parameter Estimates:
Standard errors Standard
Information Observed
Observed information based on Hessian
Latent Variables:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
socialprov_t2 =~
CW2_SOCPROV_1 1.000 0.307 0.646
CW2_SOCPROV_2 1.284 0.030 42.896 0.000 0.394 0.807
CW2_SOCPROV_3 0.889 0.020 45.500 0.000 0.273 0.553
Intercepts:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.CW2_SOCPROV_1 1.250 0.004 285.079 0.000 1.250 2.632
.CW2_SOCPROV_2 1.225 0.005 271.455 0.000 1.225 2.507
.CW2_SOCPROV_3 1.210 0.005 265.300 0.000 1.210 2.451
Variances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.CW2_SOCPROV_1 0.131 0.003 50.113 0.000 0.131 0.582
.CW2_SOCPROV_2 0.083 0.003 24.220 0.000 0.083 0.349
.CW2_SOCPROV_3 0.169 0.003 62.471 0.000 0.169 0.695
socialprov_t2 0.094 0.003 30.308 0.000 1.000 1.000
socialprov_t3 <- ' socialprov_t3 =~ CW3_SOCPROV_1 + CW3_SOCPROV_2 + CW3_SOCPROV_3'
fit <- lavaan::cfa(socialprov_t3, data = long_data1, missing = 'fiml')
summary(fit, fit.measures = TRUE, standardized = TRUE)lavaan 0.6-19 ended normally after 24 iterations
Estimator ML
Optimization method NLMINB
Number of model parameters 9
Used Total
Number of observations 9389 67518
Number of missing patterns 5
Model Test User Model:
Test statistic 0.000
Degrees of freedom 0
Model Test Baseline Model:
Test statistic 5977.780
Degrees of freedom 3
P-value 0.000
User Model versus Baseline Model:
Comparative Fit Index (CFI) 1.000
Tucker-Lewis Index (TLI) 1.000
Robust Comparative Fit Index (CFI) 1.000
Robust Tucker-Lewis Index (TLI) 1.000
Loglikelihood and Information Criteria:
Loglikelihood user model (H0) -16371.031
Loglikelihood unrestricted model (H1) -16371.031
Akaike (AIC) 32760.062
Bayesian (BIC) 32824.388
Sample-size adjusted Bayesian (SABIC) 32795.787
Root Mean Square Error of Approximation:
RMSEA 0.000
90 Percent confidence interval - lower 0.000
90 Percent confidence interval - upper 0.000
P-value H_0: RMSEA <= 0.050 NA
P-value H_0: RMSEA >= 0.080 NA
Robust RMSEA 0.000
90 Percent confidence interval - lower 0.000
90 Percent confidence interval - upper 0.000
P-value H_0: Robust RMSEA <= 0.050 NA
P-value H_0: Robust RMSEA >= 0.080 NA
Standardized Root Mean Square Residual:
SRMR 0.000
Parameter Estimates:
Standard errors Standard
Information Observed
Observed information based on Hessian
Latent Variables:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
socialprov_t3 =~
CW3_SOCPROV_1 1.000 0.318 0.680
CW3_SOCPROV_2 1.213 0.028 43.594 0.000 0.386 0.794
CW3_SOCPROV_3 0.918 0.021 44.479 0.000 0.292 0.595
Intercepts:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.CW3_SOCPROV_1 1.245 0.005 257.780 0.000 1.245 2.660
.CW3_SOCPROV_2 1.224 0.005 243.875 0.000 1.224 2.517
.CW3_SOCPROV_3 1.214 0.005 239.706 0.000 1.214 2.475
Variances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.CW3_SOCPROV_1 0.118 0.003 43.883 0.000 0.118 0.537
.CW3_SOCPROV_2 0.088 0.003 26.636 0.000 0.088 0.370
.CW3_SOCPROV_3 0.155 0.003 54.391 0.000 0.155 0.645
socialprov_t3 0.101 0.003 29.859 0.000 1.000 1.000