knitr::opts_chunk$set(echo = TRUE)
# https://rpubs.com/tddezeeuw/1159236

# List of required packages
required_packages <- c("tidyverse", "psych", "lavaan", "car", "stringr", "semPlot")

# Loop through the required packages, install if not already installed, and then load them
for (pkg in required_packages) {
  if (!requireNamespace(pkg, quietly = TRUE)) {
    install.packages(pkg, repos = "https://cloud.r-project.org/")
  }
  
  # Load the package
  library(pkg, character.only = TRUE)
}
## Warning: package 'tidyverse' was built under R version 4.3.3
## Warning: package 'tidyr' was built under R version 4.3.3
## ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
## ✔ dplyr     1.1.4     ✔ readr     2.1.5
## ✔ forcats   1.0.0     ✔ stringr   1.5.1
## ✔ ggplot2   3.5.0     ✔ tibble    3.2.1
## ✔ lubridate 1.9.3     ✔ tidyr     1.3.1
## ✔ purrr     1.0.2     
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## ✖ dplyr::filter() masks stats::filter()
## ✖ dplyr::lag()    masks stats::lag()
## ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errors
## 
## Attaching package: 'psych'
## 
## 
## The following objects are masked from 'package:ggplot2':
## 
##     %+%, alpha
## Warning: package 'lavaan' was built under R version 4.3.3
## This is lavaan 0.6-17
## lavaan is FREE software! Please report any bugs.
## 
## Attaching package: 'lavaan'
## 
## The following object is masked from 'package:psych':
## 
##     cor2cov
## Warning: package 'car' was built under R version 4.3.3
## Loading required package: carData
## Warning: package 'carData' was built under R version 4.3.3
## 
## Attaching package: 'car'
## 
## The following object is masked from 'package:psych':
## 
##     logit
## 
## The following object is masked from 'package:dplyr':
## 
##     recode
## 
## The following object is masked from 'package:purrr':
## 
##     some
## Warning: package 'semPlot' was built under R version 4.3.3
destfile <- "darktriad.csv"
download.file("https://gist.githubusercontent.com/ThijsdeZeeuw/c5a122cd47ce1a50fa2fb230e089a2a2/raw/e1c79418a122b216228bf6fd0ada1464586f15b8/darktriad.csv", destfile)

# Data Import and Initial Exploration
rawdata <- read.csv(destfile)
glimpse(rawdata)
## Rows: 106
## Columns: 52
## $ StartDate             <chr> "Start Date", "{\"ImportId\":\"startDate\",\"tim…
## $ EndDate               <chr> "End Date", "{\"ImportId\":\"endDate\",\"timeZon…
## $ Status                <chr> "Response Type", "{\"ImportId\":\"status\"}", "0…
## $ IPAddress             <chr> "IP Address", "{\"ImportId\":\"ipAddress\"}", "8…
## $ Progress              <chr> "Progress", "{\"ImportId\":\"progress\"}", "100"…
## $ Duration..in.seconds. <chr> "Duration (in seconds)", "{\"ImportId\":\"durati…
## $ Finished              <chr> "Finished", "{\"ImportId\":\"finished\"}", "1", …
## $ RecordedDate          <chr> "Recorded Date", "{\"ImportId\":\"recordedDate\"…
## $ ResponseId            <chr> "Response ID", "{\"ImportId\":\"_recordId\"}", "…
## $ RecipientLastName     <chr> "Recipient Last Name", "{\"ImportId\":\"recipien…
## $ RecipientFirstName    <chr> "Recipient First Name", "{\"ImportId\":\"recipie…
## $ RecipientEmail        <chr> "Recipient Email", "{\"ImportId\":\"recipientEma…
## $ ExternalReference     <chr> "External Data Reference", "{\"ImportId\":\"exte…
## $ LocationLatitude      <chr> "Location Latitude", "{\"ImportId\":\"locationLa…
## $ LocationLongitude     <chr> "Location Longitude", "{\"ImportId\":\"locationL…
## $ DistributionChannel   <chr> "Distribution Channel", "{\"ImportId\":\"distrib…
## $ UserLanguage          <chr> "User Language", "{\"ImportId\":\"userLanguage\"…
## $ P1                    <chr> "Age:", "{\"ImportId\":\"QID40_TEXT\"}", "27", "…
## $ P2                    <chr> "Nationality:", "{\"ImportId\":\"QID45_TEXT\"}",…
## $ P3                    <chr> "Gender: - Selected Choice", "{\"ImportId\":\"QI…
## $ P3_7_TEXT             <chr> "Gender: - Let me type - Text", "{\"ImportId\":\…
## $ P4                    <chr> "Education Level:", "{\"ImportId\":\"QID42\"}", …
## $ Q1                    <chr> "I am often able to influence others to do what …
## $ Q2                    <chr> "I tend to make decisions that are solely motiva…
## $ Q3                    <chr> "I often do what I want to get what I want", "{\…
## $ Q4                    <chr> "I often lie or use deceit to get my own way", "…
## $ Q5                    <chr> "I don't mind breaking the rules to achieve my g…
## $ Q6                    <chr> "I think maintaining a record of information tha…
## $ Q7                    <chr> "I don’t mind hurting others", "{\"ImportId\":\"…
## $ Q8                    <chr> "I tend to hide things from others to preserve m…
## $ Q9                    <chr> "I often put myself first as opposed to others",…
## $ Q10                   <chr> "I find it easy to influence others to agree wit…
## $ Q11                   <chr> "I often like being the centre of attention", "{…
## $ Q12                   <chr> "I tend to think I am more intelligent than othe…
## $ Q13                   <chr> "I often seek out compliments and admiration fro…
## $ Q14                   <chr> "I often like taking the lead", "{\"ImportId\":\…
## $ Q15                   <chr> "I spend a lot of time making myself look attrac…
## $ Q16                   <chr> "I tend to feel that I deserve special treatment…
## $ Q17                   <chr> "I like talking about my successes to make peopl…
## $ Q18                   <chr> "I often like showcasing my talent in front of o…
## $ Q19                   <chr> "I should be surrounding myself with important p…
## $ Q20                   <chr> "Status and prestige are important to me", "{\"I…
## $ Q21                   <chr> "I often lack remorse for my actions and behavio…
## $ Q22                   <chr> "I often act on impulsive decisions", "{\"Import…
## $ Q23                   <chr> "I tend to not worry about the morality of my ac…
## $ Q24                   <chr> "I think that rules are meant to be broken", "{\…
## $ Q25                   <chr> "I tend to seek thrilling or dangerous situation…
## $ Q26                   <chr> "I find it difficult to empathize with others", …
## $ Q27                   <chr> "People say that I am insensitive", "{\"ImportId…
## $ Q28                   <chr> "It is acceptable to engage in illegal and uneth…
## $ Q29                   <chr> "I tend to lose my temper quickly", "{\"ImportId…
## $ Q30                   <chr> "People who mess with me always regret it", "{\"…
# Check for incomplete entries more accurately
cat("Rows:", nrow(rawdata), "Columns:", ncol(rawdata), "\n")
## Rows: 106 Columns: 52
cat("Incomplete Entries:", sum(rawdata$Finished == "0" | rawdata$Finished == "False"), "\n") # Adjust based on actual data type
## Incomplete Entries: 1
# Step 1: Initial filtering and modifications
data <- rawdata %>%
  filter(Finished != "0" & Finished != "False") %>% # Adjust based on actual data type
  select(-P3_7_TEXT) %>%
  slice(-c(1,2,3)) %>%
  select(tail(names(.), 34)) %>%
  mutate(across(matches("^(mach|narc|psych)\\d+$"), ~as.numeric(as.character(.)))) %>%
  rename_with(~c("age", "nationality", "gender", "education", paste0("mach", 1:10), paste0("narc", 1:10), paste0("psych", 1:10)))

# Ensure all values are numeric except for specified exceptions
data <- data %>%
  mutate(across(-c(nationality), ~as.numeric(.), .names = "{.col}"))

# Analysis
cat("Average Age:", mean(data$age, na.rm = TRUE), "\n")
## Average Age: 25.91176
# Count the number of 4's in data$gender
num_fours <- sum(data$gender == 4, na.rm = TRUE)
cat("Number of 4's in gender:", num_fours, "\n")
## Number of 4's in gender: 49
# Count the number of 5's in data$gender
num_fives <- sum(data$gender == 5, na.rm = TRUE)
cat("Number of 5's in gender:", num_fives, "\n")
## Number of 5's in gender: 53
# Correlation Matrix
cor_matrix <- cor(select(data, starts_with("mach"), starts_with("narc"), starts_with("psych")))
cat("Correlation Matrix:\n")
## Correlation Matrix:
print(round(cor_matrix, 2))
##         mach1 mach2 mach3 mach4 mach5 mach6 mach7 mach8 mach9 mach10 narc1
## mach1    1.00  0.01  0.32  0.14  0.00 -0.01  0.08 -0.02  0.10   0.47  0.04
## mach2    0.01  1.00  0.43  0.34  0.13  0.10  0.28  0.18  0.43   0.11  0.28
## mach3    0.32  0.43  1.00  0.19  0.15  0.20  0.23  0.13  0.31   0.26  0.08
## mach4    0.14  0.34  0.19  1.00  0.44  0.17  0.33  0.28  0.15   0.16  0.07
## mach5    0.00  0.13  0.15  0.44  1.00  0.26  0.32  0.27  0.26   0.24  0.22
## mach6   -0.01  0.10  0.20  0.17  0.26  1.00  0.14  0.29  0.08   0.15  0.00
## mach7    0.08  0.28  0.23  0.33  0.32  0.14  1.00  0.22  0.28   0.11  0.29
## mach8   -0.02  0.18  0.13  0.28  0.27  0.29  0.22  1.00  0.25   0.10  0.04
## mach9    0.10  0.43  0.31  0.15  0.26  0.08  0.28  0.25  1.00   0.33  0.31
## mach10   0.47  0.11  0.26  0.16  0.24  0.15  0.11  0.10  0.33   1.00  0.23
## narc1    0.04  0.28  0.08  0.07  0.22  0.00  0.29  0.04  0.31   0.23  1.00
## narc2    0.19  0.32  0.47  0.04  0.19  0.03  0.22  0.26  0.42   0.34  0.32
## narc3    0.07  0.23  0.16  0.28  0.01 -0.06  0.10  0.28  0.09   0.11  0.34
## narc4    0.22  0.26  0.26  0.16  0.05 -0.08 -0.02 -0.07  0.07   0.34  0.25
## narc5    0.13  0.13  0.26  0.11  0.21  0.11  0.13  0.32  0.38   0.19  0.25
## narc6   -0.02  0.17  0.06  0.03  0.27 -0.01  0.11  0.20  0.28   0.14  0.31
## narc7    0.15  0.20  0.06  0.30  0.06 -0.13  0.22  0.22  0.20   0.15  0.32
## narc8    0.11  0.05  0.11  0.05  0.18 -0.03  0.12  0.19  0.28   0.19  0.28
## narc9   -0.16  0.28  0.20  0.19  0.30  0.37  0.31  0.35  0.32   0.06  0.15
## narc10   0.06  0.30  0.27  0.15  0.13  0.19  0.51  0.23  0.30   0.18  0.29
## psych1   0.14  0.16  0.27  0.16  0.23  0.23  0.35  0.24  0.35   0.30  0.15
## psych2   0.06 -0.06 -0.01  0.15  0.28  0.06  0.06  0.17  0.07   0.09  0.11
## psych3   0.19  0.18  0.15  0.26  0.36  0.21  0.34  0.23  0.25   0.28  0.21
## psych4  -0.07  0.03  0.11  0.27  0.55  0.32  0.28  0.27  0.08   0.06 -0.01
## psych5   0.02  0.03  0.11  0.17  0.33  0.20  0.17  0.14  0.13   0.14  0.13
## psych6   0.13  0.23  0.13  0.11  0.12  0.26  0.18  0.21  0.30   0.12  0.04
## psych7   0.01  0.20  0.13  0.15  0.22  0.32  0.32  0.23  0.15   0.13  0.05
## psych8   0.07  0.11  0.18  0.20  0.49  0.29  0.30  0.25  0.17   0.26  0.20
## psych9  -0.04  0.17 -0.07  0.07  0.13 -0.08  0.04  0.29  0.17   0.04  0.06
## psych10  0.17  0.08  0.27  0.05  0.11  0.23  0.00  0.13  0.17   0.28  0.07
##         narc2 narc3 narc4 narc5 narc6 narc7 narc8 narc9 narc10 psych1 psych2
## mach1    0.19  0.07  0.22  0.13 -0.02  0.15  0.11 -0.16   0.06   0.14   0.06
## mach2    0.32  0.23  0.26  0.13  0.17  0.20  0.05  0.28   0.30   0.16  -0.06
## mach3    0.47  0.16  0.26  0.26  0.06  0.06  0.11  0.20   0.27   0.27  -0.01
## mach4    0.04  0.28  0.16  0.11  0.03  0.30  0.05  0.19   0.15   0.16   0.15
## mach5    0.19  0.01  0.05  0.21  0.27  0.06  0.18  0.30   0.13   0.23   0.28
## mach6    0.03 -0.06 -0.08  0.11 -0.01 -0.13 -0.03  0.37   0.19   0.23   0.06
## mach7    0.22  0.10 -0.02  0.13  0.11  0.22  0.12  0.31   0.51   0.35   0.06
## mach8    0.26  0.28 -0.07  0.32  0.20  0.22  0.19  0.35   0.23   0.24   0.17
## mach9    0.42  0.09  0.07  0.38  0.28  0.20  0.28  0.32   0.30   0.35   0.07
## mach10   0.34  0.11  0.34  0.19  0.14  0.15  0.19  0.06   0.18   0.30   0.09
## narc1    0.32  0.34  0.25  0.25  0.31  0.32  0.28  0.15   0.29   0.15   0.11
## narc2    1.00  0.27  0.20  0.20  0.34  0.24  0.46  0.08   0.14   0.16   0.09
## narc3    0.27  1.00  0.22  0.22  0.40  0.39  0.31  0.05   0.08  -0.02   0.13
## narc4    0.20  0.22  1.00  0.07  0.01  0.23  0.05 -0.14  -0.05   0.15   0.04
## narc5    0.20  0.22  0.07  1.00  0.30  0.16  0.13  0.28   0.21   0.15   0.22
## narc6    0.34  0.40  0.01  0.30  1.00  0.31  0.39  0.33   0.15   0.19   0.21
## narc7    0.24  0.39  0.23  0.16  0.31  1.00  0.55  0.05   0.22  -0.01   0.07
## narc8    0.46  0.31  0.05  0.13  0.39  0.55  1.00  0.12   0.15   0.00   0.19
## narc9    0.08  0.05 -0.14  0.28  0.33  0.05  0.12  1.00   0.50   0.31   0.00
## narc10   0.14  0.08 -0.05  0.21  0.15  0.22  0.15  0.50   1.00   0.27  -0.13
## psych1   0.16 -0.02  0.15  0.15  0.19 -0.01  0.00  0.31   0.27   1.00   0.09
## psych2   0.09  0.13  0.04  0.22  0.21  0.07  0.19  0.00  -0.13   0.09   1.00
## psych3   0.14  0.05  0.00  0.13  0.13  0.21  0.14  0.27   0.22   0.45   0.21
## psych4   0.13 -0.05 -0.06  0.05  0.12  0.01  0.08  0.10   0.09   0.20   0.47
## psych5   0.24  0.05  0.00  0.09  0.22  0.05  0.16  0.21   0.05   0.05   0.34
## psych6   0.17 -0.06  0.07  0.02  0.17  0.15  0.12  0.24   0.22   0.33   0.02
## psych7   0.08  0.01  0.08  0.09  0.14  0.16  0.03  0.31   0.17   0.30  -0.08
## psych8   0.17 -0.05  0.01  0.03  0.22  0.00  0.05  0.23   0.12   0.32   0.20
## psych9  -0.03  0.01  0.08  0.01  0.09  0.19  0.16  0.05   0.07   0.31   0.23
## psych10  0.09 -0.02  0.11  0.24  0.10  0.09  0.08  0.12   0.09   0.28   0.17
##         psych3 psych4 psych5 psych6 psych7 psych8 psych9 psych10
## mach1     0.19  -0.07   0.02   0.13   0.01   0.07  -0.04    0.17
## mach2     0.18   0.03   0.03   0.23   0.20   0.11   0.17    0.08
## mach3     0.15   0.11   0.11   0.13   0.13   0.18  -0.07    0.27
## mach4     0.26   0.27   0.17   0.11   0.15   0.20   0.07    0.05
## mach5     0.36   0.55   0.33   0.12   0.22   0.49   0.13    0.11
## mach6     0.21   0.32   0.20   0.26   0.32   0.29  -0.08    0.23
## mach7     0.34   0.28   0.17   0.18   0.32   0.30   0.04    0.00
## mach8     0.23   0.27   0.14   0.21   0.23   0.25   0.29    0.13
## mach9     0.25   0.08   0.13   0.30   0.15   0.17   0.17    0.17
## mach10    0.28   0.06   0.14   0.12   0.13   0.26   0.04    0.28
## narc1     0.21  -0.01   0.13   0.04   0.05   0.20   0.06    0.07
## narc2     0.14   0.13   0.24   0.17   0.08   0.17  -0.03    0.09
## narc3     0.05  -0.05   0.05  -0.06   0.01  -0.05   0.01   -0.02
## narc4     0.00  -0.06   0.00   0.07   0.08   0.01   0.08    0.11
## narc5     0.13   0.05   0.09   0.02   0.09   0.03   0.01    0.24
## narc6     0.13   0.12   0.22   0.17   0.14   0.22   0.09    0.10
## narc7     0.21   0.01   0.05   0.15   0.16   0.00   0.19    0.09
## narc8     0.14   0.08   0.16   0.12   0.03   0.05   0.16    0.08
## narc9     0.27   0.10   0.21   0.24   0.31   0.23   0.05    0.12
## narc10    0.22   0.09   0.05   0.22   0.17   0.12   0.07    0.09
## psych1    0.45   0.20   0.05   0.33   0.30   0.32   0.31    0.28
## psych2    0.21   0.47   0.34   0.02  -0.08   0.20   0.23    0.17
## psych3    1.00   0.27   0.22   0.24   0.37   0.34   0.27    0.34
## psych4    0.27   1.00   0.48   0.26   0.20   0.39   0.18    0.23
## psych5    0.22   0.48   1.00   0.11   0.16   0.46  -0.22    0.07
## psych6    0.24   0.26   0.11   1.00   0.37   0.13   0.20    0.10
## psych7    0.37   0.20   0.16   0.37   1.00   0.32   0.09    0.20
## psych8    0.34   0.39   0.46   0.13   0.32   1.00  -0.03    0.08
## psych9    0.27   0.18  -0.22   0.20   0.09  -0.03   1.00    0.26
## psych10   0.34   0.23   0.07   0.10   0.20   0.08   0.26    1.00
# Reliability Analysis
domains <- list(
  mach = select(data, starts_with("mach")),
  narc = select(data, starts_with("narc")),
  psych = select(data, starts_with("psych"))
)

# Calculate and print Cronbach's Alpha for each domain
alphas <- map(domains, ~psych::alpha(.x, check.keys=TRUE)$total$raw_alpha)
alphas
## $mach
## [1] 0.7182257
## 
## $narc
## [1] 0.7430665
## 
## $psych
## [1] 0.7301392
# Factor Analysis
n <- nrow(data)
fa.parallel(cor_matrix, fa = "fa", n.obs = n)

## Parallel analysis suggests that the number of factors =  6  and the number of components =  NA
# Perform and print factor analysis results for nfactors 1 to 6
fa_results_list <- map(1:6, ~fa(r = cor_matrix, nfactors = .x, fm = "ml", rotate = "promax", n.obs = n))
## Loading required namespace: GPArotation
# Print factor analysis results
walk(1:6, ~{
  cat("Factor Analysis Results for", .x, "Factors:\n")
  print(fa_results_list[[.x]])
  cat("\n\n")
})
## Factor Analysis Results for 1 Factors:
## Factor Analysis using method =  ml
## Call: fa(r = cor_matrix, nfactors = .x, n.obs = n, rotate = "promax", 
##     fm = "ml")
## Standardized loadings (pattern matrix) based upon correlation matrix
##          ML1    h2   u2 com
## mach1   0.19 0.036 0.96   1
## mach2   0.45 0.203 0.80   1
## mach3   0.44 0.194 0.81   1
## mach4   0.42 0.181 0.82   1
## mach5   0.56 0.314 0.69   1
## mach6   0.35 0.125 0.88   1
## mach7   0.54 0.291 0.71   1
## mach8   0.49 0.239 0.76   1
## mach9   0.57 0.328 0.67   1
## mach10  0.43 0.186 0.81   1
## narc1   0.41 0.168 0.83   1
## narc2   0.48 0.229 0.77   1
## narc3   0.26 0.069 0.93   1
## narc4   0.17 0.028 0.97   1
## narc5   0.39 0.155 0.85   1
## narc6   0.44 0.192 0.81   1
## narc7   0.36 0.126 0.87   1
## narc8   0.36 0.131 0.87   1
## narc9   0.51 0.257 0.74   1
## narc10  0.47 0.218 0.78   1
## psych1  0.52 0.276 0.72   1
## psych2  0.26 0.070 0.93   1
## psych3  0.56 0.314 0.69   1
## psych4  0.43 0.183 0.82   1
## psych5  0.37 0.139 0.86   1
## psych6  0.40 0.158 0.84   1
## psych7  0.43 0.187 0.81   1
## psych8  0.49 0.242 0.76   1
## psych9  0.23 0.051 0.95   1
## psych10 0.33 0.108 0.89   1
## 
##                 ML1
## SS loadings    5.40
## Proportion Var 0.18
## 
## Mean item complexity =  1
## Test of the hypothesis that 1 factor is sufficient.
## 
## df null model =  435  with the objective function =  12 with Chi Square =  1081.58
## df of  the model are 405  and the objective function was  7.97 
## 
## The root mean square of the residuals (RMSR) is  0.11 
## The df corrected root mean square of the residuals is  0.12 
## 
## The harmonic n.obs is  102 with the empirical chi square  1132.93  with prob <  3.9e-70 
## The total n.obs was  102  with Likelihood Chi Square =  713.44  with prob <  2.4e-19 
## 
## Tucker Lewis Index of factoring reliability =  0.481
## RMSEA index =  0.086  and the 90 % confidence intervals are  0.076 0.097
## BIC =  -1159.68
## Fit based upon off diagonal values = 0.72
## Measures of factor score adequacy             
##                                                    ML1
## Correlation of (regression) scores with factors   0.93
## Multiple R square of scores with factors          0.87
## Minimum correlation of possible factor scores     0.75
## 
## 
## Factor Analysis Results for 2 Factors:
## Factor Analysis using method =  ml
## Call: fa(r = cor_matrix, nfactors = .x, n.obs = n, rotate = "promax", 
##     fm = "ml")
## Standardized loadings (pattern matrix) based upon correlation matrix
##           ML1   ML2    h2   u2 com
## mach1   -0.04  0.28 0.068 0.93 1.0
## mach2    0.10  0.44 0.244 0.76 1.1
## mach3    0.17  0.34 0.206 0.79 1.5
## mach4    0.36  0.13 0.188 0.81 1.3
## mach5    0.70 -0.07 0.441 0.56 1.0
## mach6    0.60 -0.26 0.275 0.72 1.4
## mach7    0.43  0.17 0.287 0.71 1.3
## mach8    0.38  0.17 0.241 0.76 1.4
## mach9    0.20  0.47 0.361 0.64 1.4
## mach10   0.17  0.34 0.204 0.80 1.5
## narc1   -0.01  0.54 0.287 0.71 1.0
## narc2    0.03  0.59 0.366 0.63 1.0
## narc3   -0.23  0.62 0.299 0.70 1.3
## narc4   -0.15  0.39 0.119 0.88 1.3
## narc5    0.11  0.36 0.181 0.82 1.2
## narc6    0.11  0.45 0.260 0.74 1.1
## narc7   -0.16  0.66 0.352 0.65 1.1
## narc8   -0.09  0.59 0.304 0.70 1.0
## narc9    0.46  0.08 0.255 0.74 1.1
## narc10   0.24  0.29 0.206 0.79 1.9
## psych1   0.49  0.07 0.275 0.72 1.0
## psych2   0.34 -0.03 0.106 0.89 1.0
## psych3   0.54  0.07 0.335 0.67 1.0
## psych4   0.76 -0.31 0.444 0.56 1.3
## psych5   0.51 -0.09 0.225 0.77 1.1
## psych6   0.35  0.08 0.158 0.84 1.1
## psych7   0.47 -0.02 0.217 0.78 1.0
## psych8   0.69 -0.15 0.390 0.61 1.1
## psych9   0.14  0.11 0.049 0.95 1.9
## psych10  0.28  0.07 0.107 0.89 1.1
## 
##                        ML1  ML2
## SS loadings           4.14 3.31
## Proportion Var        0.14 0.11
## Cumulative Var        0.14 0.25
## Proportion Explained  0.56 0.44
## Cumulative Proportion 0.56 1.00
## 
##  With factor correlations of 
##      ML1  ML2
## ML1 1.00 0.49
## ML2 0.49 1.00
## 
## Mean item complexity =  1.2
## Test of the hypothesis that 2 factors are sufficient.
## 
## df null model =  435  with the objective function =  12 with Chi Square =  1081.58
## df of  the model are 376  and the objective function was  6.7 
## 
## The root mean square of the residuals (RMSR) is  0.09 
## The df corrected root mean square of the residuals is  0.1 
## 
## The harmonic n.obs is  102 with the empirical chi square  759.27  with prob <  4e-28 
## The total n.obs was  102  with Likelihood Chi Square =  594.76  with prob <  4.2e-12 
## 
## Tucker Lewis Index of factoring reliability =  0.599
## RMSEA index =  0.075  and the 90 % confidence intervals are  0.064 0.087
## BIC =  -1144.23
## Fit based upon off diagonal values = 0.81
## Measures of factor score adequacy             
##                                                    ML1  ML2
## Correlation of (regression) scores with factors   0.93 0.91
## Multiple R square of scores with factors          0.86 0.83
## Minimum correlation of possible factor scores     0.73 0.67
## 
## 
## Factor Analysis Results for 3 Factors:
## Factor Analysis using method =  ml
## Call: fa(r = cor_matrix, nfactors = .x, n.obs = n, rotate = "promax", 
##     fm = "ml")
## Standardized loadings (pattern matrix) based upon correlation matrix
##           ML1   ML2   ML3    h2   u2 com
## mach1    0.07  0.22 -0.07 0.064 0.94 1.4
## mach2    0.48  0.24 -0.22 0.317 0.68 1.9
## mach3    0.44  0.17 -0.11 0.246 0.75 1.4
## mach4    0.22  0.11  0.22 0.189 0.81 2.4
## mach5    0.21  0.00  0.57 0.484 0.52 1.3
## mach6    0.51 -0.33  0.18 0.306 0.69 2.0
## mach7    0.52  0.04  0.06 0.328 0.67 1.0
## mach8    0.28  0.14  0.20 0.241 0.76 2.3
## mach9    0.45  0.32 -0.09 0.392 0.61 1.9
## mach10   0.23  0.27  0.03 0.195 0.81 2.0
## narc1    0.09  0.50 -0.01 0.292 0.71 1.1
## narc2    0.07  0.55  0.08 0.371 0.63 1.1
## narc3   -0.19  0.65  0.01 0.343 0.66 1.2
## narc4   -0.01  0.34 -0.08 0.104 0.90 1.1
## narc5    0.18  0.30  0.03 0.179 0.82 1.6
## narc6   -0.02  0.49  0.19 0.313 0.69 1.3
## narc7   -0.12  0.67  0.02 0.401 0.60 1.1
## narc8   -0.23  0.69  0.19 0.435 0.57 1.4
## narc9    0.66 -0.07 -0.06 0.362 0.64 1.0
## narc10   0.64  0.07 -0.23 0.363 0.64 1.3
## psych1   0.63 -0.10  0.00 0.355 0.65 1.0
## psych2  -0.35  0.18  0.70 0.419 0.58 1.6
## psych3   0.43  0.02  0.21 0.326 0.67 1.5
## psych4   0.04 -0.19  0.83 0.674 0.33 1.1
## psych5  -0.03  0.03  0.58 0.334 0.67 1.0
## psych6   0.44 -0.04  0.04 0.198 0.80 1.0
## psych7   0.55 -0.14  0.03 0.268 0.73 1.1
## psych8   0.31 -0.12  0.43 0.366 0.63 2.0
## psych9   0.09  0.10  0.11 0.053 0.95 2.9
## psych10  0.24  0.02  0.13 0.109 0.89 1.6
## 
##                        ML1  ML2  ML3
## SS loadings           3.67 2.88 2.48
## Proportion Var        0.12 0.10 0.08
## Cumulative Var        0.12 0.22 0.30
## Proportion Explained  0.41 0.32 0.27
## Cumulative Proportion 0.41 0.73 1.00
## 
##  With factor correlations of 
##      ML1  ML2  ML3
## ML1 1.00 0.46 0.47
## ML2 0.46 1.00 0.23
## ML3 0.47 0.23 1.00
## 
## Mean item complexity =  1.5
## Test of the hypothesis that 3 factors are sufficient.
## 
## df null model =  435  with the objective function =  12 with Chi Square =  1081.58
## df of  the model are 348  and the objective function was  5.73 
## 
## The root mean square of the residuals (RMSR) is  0.08 
## The df corrected root mean square of the residuals is  0.09 
## 
## The harmonic n.obs is  102 with the empirical chi square  566.31  with prob <  1.2e-12 
## The total n.obs was  102  with Likelihood Chi Square =  505.31  with prob <  6.8e-08 
## 
## Tucker Lewis Index of factoring reliability =  0.684
## RMSEA index =  0.066  and the 90 % confidence intervals are  0.054 0.079
## BIC =  -1104.18
## Fit based upon off diagonal values = 0.86
## Measures of factor score adequacy             
##                                                    ML1  ML2  ML3
## Correlation of (regression) scores with factors   0.92 0.91 0.92
## Multiple R square of scores with factors          0.86 0.82 0.84
## Minimum correlation of possible factor scores     0.71 0.65 0.68
## 
## 
## Factor Analysis Results for 4 Factors:
## Factor Analysis using method =  ml
## Call: fa(r = cor_matrix, nfactors = .x, n.obs = n, rotate = "promax", 
##     fm = "ml")
## Standardized loadings (pattern matrix) based upon correlation matrix
##           ML1   ML3   ML2   ML4    h2   u2 com
## mach1   -0.16 -0.06 -0.03  0.70 0.401 0.60 1.1
## mach2    0.47 -0.22  0.19  0.10 0.293 0.71 1.9
## mach3    0.32 -0.11  0.00  0.41 0.338 0.66 2.1
## mach4    0.17  0.24  0.09  0.07 0.187 0.81 2.4
## mach5    0.16  0.60  0.04 -0.05 0.485 0.51 1.2
## mach6    0.48  0.20 -0.29 -0.07 0.317 0.68 2.1
## mach7    0.50  0.08  0.07 -0.04 0.316 0.68 1.1
## mach8    0.35  0.20  0.21 -0.17 0.281 0.72 2.9
## mach9    0.44 -0.09  0.25  0.14 0.384 0.62 2.0
## mach10   0.04  0.04  0.03  0.64 0.460 0.54 1.0
## narc1    0.13 -0.04  0.45  0.08 0.290 0.71 1.2
## narc2    0.02  0.06  0.43  0.29 0.389 0.61 1.8
## narc3   -0.10 -0.04  0.64  0.01 0.365 0.64 1.1
## narc4   -0.18 -0.07  0.14  0.53 0.270 0.73 1.4
## narc5    0.24 -0.01  0.27  0.03 0.187 0.81 2.0
## narc6    0.13  0.14  0.57 -0.19 0.395 0.60 1.5
## narc7   -0.06 -0.01  0.65  0.06 0.417 0.58 1.0
## narc8   -0.14  0.14  0.68 -0.01 0.451 0.55 1.2
## narc9    0.91 -0.12  0.06 -0.42 0.618 0.38 1.5
## narc10   0.74 -0.26  0.11 -0.12 0.417 0.58 1.3
## psych1   0.51  0.03 -0.18  0.23 0.386 0.61 1.7
## psych2  -0.38  0.71  0.19  0.01 0.402 0.60 1.7
## psych3   0.33  0.24 -0.03  0.17 0.338 0.66 2.4
## psych4  -0.06  0.89 -0.11 -0.10 0.686 0.31 1.1
## psych5  -0.04  0.59  0.07 -0.07 0.327 0.67 1.1
## psych6   0.38  0.07 -0.04  0.05 0.187 0.81 1.1
## psych7   0.49  0.06 -0.11  0.00 0.250 0.75 1.1
## psych8   0.22  0.47 -0.11  0.06 0.369 0.63 1.6
## psych9   0.06  0.13  0.10  0.02 0.052 0.95 2.3
## psych10  0.12  0.15 -0.09  0.29 0.177 0.82 2.1
## 
##                        ML1  ML3  ML2  ML4
## SS loadings           3.52 2.56 2.55 1.80
## Proportion Var        0.12 0.09 0.09 0.06
## Cumulative Var        0.12 0.20 0.29 0.35
## Proportion Explained  0.34 0.25 0.24 0.17
## Cumulative Proportion 0.34 0.58 0.83 1.00
## 
##  With factor correlations of 
##      ML1  ML3  ML2  ML4
## ML1 1.00 0.53 0.36 0.44
## ML3 0.53 1.00 0.22 0.29
## ML2 0.36 0.22 1.00 0.33
## ML4 0.44 0.29 0.33 1.00
## 
## Mean item complexity =  1.6
## Test of the hypothesis that 4 factors are sufficient.
## 
## df null model =  435  with the objective function =  12 with Chi Square =  1081.58
## df of  the model are 321  and the objective function was  4.96 
## 
## The root mean square of the residuals (RMSR) is  0.07 
## The df corrected root mean square of the residuals is  0.08 
## 
## The harmonic n.obs is  102 with the empirical chi square  415.37  with prob <  0.00029 
## The total n.obs was  102  with Likelihood Chi Square =  434.11  with prob <  2.5e-05 
## 
## Tucker Lewis Index of factoring reliability =  0.751
## RMSEA index =  0.058  and the 90 % confidence intervals are  0.044 0.073
## BIC =  -1050.51
## Fit based upon off diagonal values = 0.9
## Measures of factor score adequacy             
##                                                    ML1  ML3  ML2  ML4
## Correlation of (regression) scores with factors   0.93 0.92 0.90 0.88
## Multiple R square of scores with factors          0.87 0.85 0.81 0.77
## Minimum correlation of possible factor scores     0.74 0.70 0.62 0.54
## 
## 
## Factor Analysis Results for 5 Factors:
## Factor Analysis using method =  ml
## Call: fa(r = cor_matrix, nfactors = .x, n.obs = n, rotate = "promax", 
##     fm = "ml")
## Standardized loadings (pattern matrix) based upon correlation matrix
##           ML2   ML4   ML3   ML5   ML1   h2    u2 com
## mach1   -0.17 -0.04 -0.04  0.72 -0.08 0.40 0.596 1.1
## mach2    0.47 -0.22  0.19  0.08  0.08 0.30 0.695 2.0
## mach3    0.31 -0.06  0.01  0.45 -0.17 0.37 0.628 2.2
## mach4    0.18  0.23  0.10  0.07 -0.01 0.18 0.819 2.5
## mach5    0.17  0.59  0.06 -0.05  0.02 0.48 0.523 1.2
## mach6    0.47  0.24 -0.28 -0.04 -0.16 0.34 0.659 2.5
## mach7    0.50  0.10  0.08 -0.03 -0.07 0.32 0.680 1.2
## mach8    0.36  0.15  0.21 -0.21  0.20 0.32 0.684 3.5
## mach9    0.43 -0.09  0.25  0.14  0.06 0.39 0.612 2.0
## mach10   0.03  0.07  0.03  0.64 -0.05 0.46 0.540 1.0
## narc1    0.13 -0.02  0.45  0.09 -0.03 0.29 0.709 1.3
## narc2    0.01  0.10  0.45  0.32 -0.14 0.43 0.569 2.2
## narc3   -0.08 -0.04  0.63  0.02 -0.05 0.37 0.634 1.1
## narc4   -0.18 -0.08  0.13  0.52  0.04 0.27 0.729 1.4
## narc5    0.24  0.01  0.27  0.05 -0.07 0.19 0.809 2.2
## narc6    0.14  0.15  0.56 -0.18 -0.01 0.39 0.608 1.5
## narc7   -0.04 -0.05  0.63  0.04  0.13 0.42 0.579 1.1
## narc8   -0.12  0.12  0.67 -0.01  0.09 0.46 0.544 1.2
## narc9    0.89 -0.08  0.07 -0.41 -0.07 0.62 0.381 1.4
## narc10   0.73 -0.23  0.11 -0.12 -0.03 0.42 0.582 1.3
## psych1   0.52 -0.01 -0.20  0.20  0.22 0.45 0.551 2.0
## psych2  -0.37  0.65  0.20 -0.02  0.20 0.43 0.573 2.0
## psych3   0.33  0.22 -0.04  0.14  0.17 0.36 0.637 2.8
## psych4  -0.05  0.84 -0.08 -0.11  0.11 0.67 0.331 1.1
## psych5  -0.06  0.70  0.12 -0.01 -0.32 0.49 0.508 1.5
## psych6   0.39  0.04 -0.05  0.03  0.13 0.20 0.799 1.3
## psych7   0.49  0.07 -0.11  0.00  0.01 0.25 0.749 1.1
## psych8   0.20  0.52 -0.09  0.08 -0.13 0.41 0.590 1.6
## psych9   0.09 -0.09  0.07 -0.15  1.02 1.00 0.005 1.1
## psych10  0.12  0.11 -0.10  0.26  0.21 0.22 0.781 3.1
## 
##                        ML2  ML4  ML3  ML5  ML1
## SS loadings           3.52 2.57 2.54 1.80 1.47
## Proportion Var        0.12 0.09 0.08 0.06 0.05
## Cumulative Var        0.12 0.20 0.29 0.35 0.40
## Proportion Explained  0.30 0.22 0.21 0.15 0.12
## Cumulative Proportion 0.30 0.51 0.72 0.88 1.00
## 
##  With factor correlations of 
##      ML2  ML4  ML3  ML5  ML1
## ML2 1.00 0.49 0.33 0.44 0.18
## ML4 0.49 1.00 0.17 0.27 0.20
## ML3 0.33 0.17 1.00 0.31 0.08
## ML5 0.44 0.27 0.31 1.00 0.23
## ML1 0.18 0.20 0.08 0.23 1.00
## 
## Mean item complexity =  1.7
## Test of the hypothesis that 5 factors are sufficient.
## 
## df null model =  435  with the objective function =  12 with Chi Square =  1081.58
## df of  the model are 295  and the objective function was  4.25 
## 
## The root mean square of the residuals (RMSR) is  0.06 
## The df corrected root mean square of the residuals is  0.07 
## 
## The harmonic n.obs is  102 with the empirical chi square  314.24  with prob <  0.21 
## The total n.obs was  102  with Likelihood Chi Square =  368.95  with prob <  0.0022 
## 
## Tucker Lewis Index of factoring reliability =  0.82
## RMSEA index =  0.049  and the 90 % confidence intervals are  0.031 0.065
## BIC =  -995.42
## Fit based upon off diagonal values = 0.92
## Measures of factor score adequacy             
##                                                    ML2  ML4  ML3  ML5  ML1
## Correlation of (regression) scores with factors   0.93 0.92 0.90 0.88 0.99
## Multiple R square of scores with factors          0.87 0.85 0.81 0.77 0.99
## Minimum correlation of possible factor scores     0.74 0.70 0.62 0.55 0.98
## 
## 
## Factor Analysis Results for 6 Factors:
## Factor Analysis using method =  ml
## Call: fa(r = cor_matrix, nfactors = .x, n.obs = n, rotate = "promax", 
##     fm = "ml")
## Standardized loadings (pattern matrix) based upon correlation matrix
##           ML3   ML4   ML5   ML6   ML2   ML1   h2    u2 com
## mach1   -0.17 -0.05 -0.02  0.71 -0.09  0.07 0.40 0.602 1.2
## mach2    0.45  0.13 -0.22  0.12  0.07  0.22 0.36 0.643 2.5
## mach3    0.31  0.02 -0.07  0.46 -0.17  0.03 0.38 0.619 2.1
## mach4    0.13 -0.13  0.29  0.19 -0.07  0.96 1.00 0.005 1.4
## mach5    0.17  0.03  0.60 -0.02  0.00  0.24 0.52 0.480 1.5
## mach6    0.47 -0.25  0.23 -0.03 -0.16  0.04 0.34 0.665 2.4
## mach7    0.49  0.06  0.09 -0.01 -0.08  0.16 0.33 0.672 1.4
## mach8    0.35  0.20  0.15 -0.19  0.20  0.11 0.32 0.679 3.7
## mach9    0.43  0.27 -0.09  0.14  0.07 -0.07 0.40 0.596 2.2
## mach10   0.03  0.05  0.08  0.63 -0.05 -0.01 0.46 0.541 1.1
## narc1    0.13  0.47 -0.02  0.08 -0.02 -0.08 0.30 0.705 1.3
## narc2    0.02  0.51  0.10  0.32 -0.14 -0.17 0.49 0.510 2.2
## narc3   -0.11  0.58 -0.03  0.04 -0.06  0.23 0.42 0.578 1.5
## narc4   -0.19  0.09 -0.08  0.53  0.04  0.11 0.28 0.719 1.5
## narc5    0.24  0.28  0.01  0.05 -0.07 -0.04 0.19 0.808 2.2
## narc6    0.14  0.63  0.15 -0.20  0.00 -0.15 0.44 0.558 1.6
## narc7   -0.07  0.58 -0.04  0.06  0.12  0.21 0.46 0.535 1.4
## narc8   -0.13  0.71  0.12 -0.02  0.09 -0.10 0.48 0.516 1.2
## narc9    0.88  0.09 -0.08 -0.40 -0.07  0.00 0.63 0.375 1.5
## narc10   0.72  0.12 -0.24 -0.12 -0.03 -0.01 0.42 0.583 1.3
## psych1   0.52 -0.17  0.00  0.20  0.22 -0.06 0.46 0.544 2.0
## psych2  -0.34  0.21  0.64 -0.02  0.20  0.02 0.42 0.575 2.0
## psych3   0.33 -0.03  0.22  0.14  0.17  0.05 0.36 0.642 2.8
## psych4  -0.02 -0.06  0.81 -0.09  0.10  0.08 0.64 0.356 1.1
## psych5  -0.04  0.16  0.68  0.00 -0.32  0.01 0.50 0.501 1.6
## psych6   0.39 -0.02  0.03  0.02  0.13 -0.05 0.20 0.795 1.3
## psych7   0.48 -0.08  0.06 -0.01  0.01 -0.01 0.24 0.757 1.1
## psych8   0.22 -0.05  0.51  0.08 -0.13  0.00 0.42 0.581 1.6
## psych9   0.08  0.05 -0.09 -0.17  1.02 -0.04 1.00 0.005 1.1
## psych10  0.13 -0.06  0.10  0.25  0.22 -0.10 0.23 0.770 3.4
## 
##                        ML3  ML4  ML5  ML6  ML2  ML1
## SS loadings           3.48 2.57 2.51 1.84 1.47 1.22
## Proportion Var        0.12 0.09 0.08 0.06 0.05 0.04
## Cumulative Var        0.12 0.20 0.29 0.35 0.40 0.44
## Proportion Explained  0.27 0.20 0.19 0.14 0.11 0.09
## Cumulative Proportion 0.27 0.46 0.65 0.79 0.91 1.00
## 
##  With factor correlations of 
##      ML3  ML4   ML5   ML6  ML2   ML1
## ML3 1.00 0.32  0.45  0.42 0.19  0.04
## ML4 0.32 1.00  0.11  0.31 0.11  0.21
## ML5 0.45 0.11  1.00  0.23 0.19 -0.10
## ML6 0.42 0.31  0.23  1.00 0.24 -0.04
## ML2 0.19 0.11  0.19  0.24 1.00  0.09
## ML1 0.04 0.21 -0.10 -0.04 0.09  1.00
## 
## Mean item complexity =  1.8
## Test of the hypothesis that 6 factors are sufficient.
## 
## df null model =  435  with the objective function =  12 with Chi Square =  1081.58
## df of  the model are 270  and the objective function was  3.71 
## 
## The root mean square of the residuals (RMSR) is  0.05 
## The df corrected root mean square of the residuals is  0.07 
## 
## The harmonic n.obs is  102 with the empirical chi square  255.39  with prob <  0.73 
## The total n.obs was  102  with Likelihood Chi Square =  319.91  with prob <  0.02 
## 
## Tucker Lewis Index of factoring reliability =  0.866
## RMSEA index =  0.041  and the 90 % confidence intervals are  0.018 0.06
## BIC =  -928.83
## Fit based upon off diagonal values = 0.94
## Measures of factor score adequacy             
##                                                    ML3  ML4  ML5  ML6  ML2  ML1
## Correlation of (regression) scores with factors   0.93 0.91 0.92 0.88 0.99 0.98
## Multiple R square of scores with factors          0.87 0.82 0.84 0.77 0.99 0.96
## Minimum correlation of possible factor scores     0.74 0.64 0.68 0.55 0.98 0.92
# SEM Model
model <- '
  machiavellianism =~ mach1 + mach2 + mach3 + mach4 + mach5 + mach6 + mach7 + mach8 + mach9 + mach10
  narcissism =~ narc1 + narc2 + narc3 + narc4 + narc5 + narc6 + narc7 + narc8 + narc9 + narc10
  psychopathy =~ psych1 + psych2 + psych3 + psych4 + psych5 + psych6 + psych7 + psych8 + psych9 + psych10
'
fit <- cfa(model, data = data, meanstructure = TRUE, std.lv = TRUE)
cat("SEM Model Fit Summary:\n")
## SEM Model Fit Summary:
print(summary(fit, standardized = TRUE))
## lavaan 0.6.17 ended normally after 19 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of model parameters                        93
## 
##   Number of observations                           102
## 
## Model Test User Model:
##                                                       
##   Test statistic                               745.678
##   Degrees of freedom                               402
##   P-value (Chi-square)                           0.000
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Expected
##   Information saturated (h1) model          Structured
## 
## Latent Variables:
##                       Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   machiavellianism =~                                                      
##     mach1                0.208    0.104    1.993    0.046    0.208    0.212
##     mach2                0.496    0.111    4.463    0.000    0.496    0.454
##     mach3                0.481    0.110    4.358    0.000    0.481    0.445
##     mach4                0.419    0.091    4.586    0.000    0.419    0.466
##     mach5                0.728    0.123    5.899    0.000    0.728    0.579
##     mach6                0.403    0.123    3.282    0.001    0.403    0.343
##     mach7                0.437    0.082    5.352    0.000    0.437    0.533
##     mach8                0.612    0.128    4.773    0.000    0.612    0.482
##     mach9                0.588    0.103    5.707    0.000    0.588    0.563
##     mach10               0.430    0.100    4.316    0.000    0.430    0.441
##   narcissism =~                                                            
##     narc1                0.639    0.118    5.433    0.000    0.639    0.551
##     narc2                0.654    0.113    5.767    0.000    0.654    0.580
##     narc3                0.601    0.119    5.040    0.000    0.601    0.517
##     narc4                0.236    0.113    2.089    0.037    0.236    0.228
##     narc5                0.451    0.110    4.095    0.000    0.451    0.430
##     narc6                0.612    0.107    5.733    0.000    0.612    0.577
##     narc7                0.614    0.110    5.572    0.000    0.614    0.563
##     narc8                0.679    0.116    5.836    0.000    0.679    0.586
##     narc9                0.448    0.128    3.513    0.000    0.448    0.374
##     narc10               0.498    0.126    3.969    0.000    0.498    0.418
##   psychopathy =~                                                           
##     psych1               0.528    0.091    5.820    0.000    0.528    0.581
##     psych2               0.409    0.131    3.113    0.002    0.409    0.332
##     psych3               0.595    0.090    6.645    0.000    0.595    0.647
##     psych4               0.594    0.104    5.700    0.000    0.594    0.571
##     psych5               0.492    0.123    3.998    0.000    0.492    0.418
##     psych6               0.356    0.088    4.023    0.000    0.356    0.421
##     psych7               0.542    0.114    4.745    0.000    0.542    0.487
##     psych8               0.599    0.103    5.835    0.000    0.599    0.582
##     psych9               0.306    0.120    2.552    0.011    0.306    0.274
##     psych10              0.391    0.108    3.603    0.000    0.391    0.380
## 
## Covariances:
##                       Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   machiavellianism ~~                                                      
##     narcissism           0.727    0.082    8.875    0.000    0.727    0.727
##     psychopathy          0.832    0.069   12.098    0.000    0.832    0.832
##   narcissism ~~                                                            
##     psychopathy          0.409    0.112    3.635    0.000    0.409    0.409
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .mach1             3.196    0.097   32.918    0.000    3.196    3.259
##    .mach2             2.461    0.108   22.786    0.000    2.461    2.256
##    .mach3             3.157    0.107   29.457    0.000    3.157    2.917
##    .mach4             1.716    0.089   19.237    0.000    1.716    1.905
##    .mach5             2.480    0.125   19.911    0.000    2.480    1.971
##    .mach6             2.098    0.116   18.021    0.000    2.098    1.784
##    .mach7             1.402    0.081   17.275    0.000    1.402    1.711
##    .mach8             2.833    0.126   22.556    0.000    2.833    2.233
##    .mach9             2.549    0.103   24.650    0.000    2.549    2.441
##    .mach10            3.294    0.097   34.085    0.000    3.294    3.375
##    .narc1             2.559    0.115   22.287    0.000    2.559    2.207
##    .narc2             3.304    0.112   29.605    0.000    3.304    2.931
##    .narc3             2.980    0.115   25.882    0.000    2.980    2.563
##    .narc4             3.137    0.103   30.500    0.000    3.137    3.020
##    .narc5             2.833    0.104   27.288    0.000    2.833    2.702
##    .narc6             2.176    0.105   20.718    0.000    2.176    2.051
##    .narc7             2.441    0.108   22.623    0.000    2.441    2.240
##    .narc8             2.706    0.115   23.565    0.000    2.706    2.333
##    .narc9             2.755    0.119   23.187    0.000    2.755    2.296
##    .narc10            2.422    0.118   20.521    0.000    2.422    2.032
##    .psych1            1.725    0.090   19.167    0.000    1.725    1.898
##    .psych2            2.814    0.122   23.018    0.000    2.814    2.279
##    .psych3            1.725    0.091   18.944    0.000    1.725    1.876
##    .psych4            2.118    0.103   20.540    0.000    2.118    2.034
##    .psych5            2.353    0.117   20.191    0.000    2.353    1.999
##    .psych6            1.569    0.084   18.724    0.000    1.569    1.854
##    .psych7            1.980    0.110   17.998    0.000    1.980    1.782
##    .psych8            1.686    0.102   16.554    0.000    1.686    1.639
##    .psych9            2.206    0.110   19.991    0.000    2.206    1.979
##    .psych10           2.108    0.102   20.706    0.000    2.108    2.050
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .mach1             0.918    0.130    7.079    0.000    0.918    0.955
##    .mach2             0.944    0.139    6.793    0.000    0.944    0.794
##    .mach3             0.940    0.138    6.811    0.000    0.940    0.802
##    .mach4             0.635    0.094    6.770    0.000    0.635    0.783
##    .mach5             1.053    0.163    6.453    0.000    1.053    0.665
##    .mach6             1.220    0.175    6.965    0.000    1.220    0.883
##    .mach7             0.481    0.073    6.604    0.000    0.481    0.716
##    .mach8             1.235    0.183    6.734    0.000    1.235    0.767
##    .mach9             0.745    0.114    6.510    0.000    0.745    0.683
##    .mach10            0.767    0.113    6.819    0.000    0.767    0.806
##    .narc1             0.936    0.147    6.375    0.000    0.936    0.696
##    .narc2             0.843    0.135    6.252    0.000    0.843    0.664
##    .narc3             0.991    0.152    6.503    0.000    0.991    0.733
##    .narc4             1.023    0.145    7.046    0.000    1.023    0.948
##    .narc5             0.896    0.133    6.745    0.000    0.896    0.815
##    .narc6             0.751    0.120    6.265    0.000    0.751    0.667
##    .narc7             0.811    0.128    6.326    0.000    0.811    0.683
##    .narc8             0.883    0.142    6.225    0.000    0.883    0.657
##    .narc9             1.239    0.181    6.858    0.000    1.239    0.860
##    .narc10            1.172    0.173    6.772    0.000    1.172    0.825
##    .psych1            0.548    0.087    6.307    0.000    0.548    0.663
##    .psych2            1.357    0.195    6.940    0.000    1.357    0.890
##    .psych3            0.492    0.083    5.954    0.000    0.492    0.581
##    .psych4            0.731    0.115    6.350    0.000    0.731    0.674
##    .psych5            1.143    0.168    6.796    0.000    1.143    0.825
##    .psych6            0.589    0.087    6.791    0.000    0.589    0.823
##    .psych7            0.942    0.142    6.632    0.000    0.942    0.762
##    .psych8            0.700    0.111    6.301    0.000    0.700    0.661
##    .psych9            1.148    0.164    7.009    0.000    1.148    0.925
##    .psych10           0.904    0.132    6.866    0.000    0.904    0.856
##     machiavellinsm    1.000                               1.000    1.000
##     narcissism        1.000                               1.000    1.000
##     psychopathy       1.000                               1.000    1.000
# Fit Measures
fit_measures <- fitmeasures(fit)[c("rmsea", "cfi", "tli", "srmr")]
fit_measures
##      rmsea        cfi        tli       srmr 
## 0.09155097 0.56415158 0.52837298 0.10142132
# SEM Path Visualization
semPaths(fit, "std")

# Model Modification Indices
local_fit <- modindices(fit) %>% arrange(desc(mi))
local_fit
##                  lhs op     rhs     mi    epc sepc.lv sepc.all sepc.nox
## 1              mach1 ~~  mach10 20.124  0.383   0.383    0.457    0.457
## 2              narc9 ~~  narc10 18.488  0.540   0.540    0.448    0.448
## 3              mach5 ~~  psych4 17.712  0.405   0.405    0.461    0.461
## 4             psych2 ~~  psych4 16.203  0.429   0.429    0.431    0.431
## 5              mach7 ~~  narc10 16.165  0.316   0.316    0.421    0.421
## 6             psych5 ~~  psych9 16.070 -0.471  -0.471   -0.411   -0.411
## 7              narc7 ~~   narc8 15.505  0.387   0.387    0.457    0.457
## 8              mach3 ~~   narc2 13.090  0.344   0.344    0.387    0.387
## 9             psych4 ~~  psych5 12.679  0.354   0.354    0.387    0.387
## 10  machiavellianism =~   narc9 12.125  0.725   0.725    0.604    0.604
## 11             mach6 ~~   narc9 10.729  0.410   0.410    0.333    0.333
## 12            psych5 ~~  psych8 10.266  0.313   0.313    0.350    0.350
## 13            psych2 ~~  psych7  9.888 -0.372  -0.372   -0.329   -0.329
## 14       psychopathy =~   narc9  9.852  0.458   0.458    0.382    0.382
## 15             mach2 ~~   mach3  9.164  0.298   0.298    0.316    0.316
## 16        narcissism =~   mach6  9.151 -0.637  -0.637   -0.542   -0.542
## 17            narc10 ~~  psych2  8.867 -0.384  -0.384   -0.305   -0.305
## 18            mach10 ~~   narc4  8.843  0.268   0.268    0.302    0.302
## 19       psychopathy =~   mach6  8.804  0.847   0.847    0.721    0.721
## 20             mach1 ~~   narc9  8.337 -0.311  -0.311   -0.292   -0.292
## 21            psych1 ~~  psych5  8.090 -0.246  -0.246   -0.311   -0.311
## 22             mach5 ~~  psych8  7.446  0.258   0.258    0.300    0.300
## 23             mach1 ~~   mach3  7.307  0.256   0.256    0.275    0.275
## 24       psychopathy =~   mach5  7.028  0.762   0.762    0.606    0.606
## 25            psych8 ~~  psych9  6.917 -0.252  -0.252   -0.281   -0.281
## 26             mach2 ~~   mach9  6.879  0.236   0.236    0.282    0.282
## 27             mach4 ~~   mach5  6.859  0.232   0.232    0.283    0.283
## 28             mach4 ~~   narc3  6.696  0.217   0.217    0.273    0.273
## 29       psychopathy =~   narc3  6.587 -0.348  -0.348   -0.299   -0.299
## 30             narc4 ~~   narc9  6.583 -0.294  -0.294   -0.261   -0.261
## 31            psych2 ~~  psych5  5.841  0.311   0.311    0.249    0.249
## 32             mach7 ~~ psych10  5.814 -0.166  -0.166   -0.252   -0.252
## 33             mach6 ~~   narc7  5.702 -0.250  -0.250   -0.251   -0.251
## 34  machiavellianism =~   narc3  5.680 -0.462  -0.462   -0.397   -0.397
## 35             mach8 ~~   narc1  5.678 -0.273  -0.273   -0.254   -0.254
## 36  machiavellianism =~  narc10  5.672  0.487   0.487    0.408    0.408
## 37             narc7 ~~   narc9  5.669 -0.258  -0.258   -0.258   -0.258
## 38             mach4 ~~   narc7  5.606  0.181   0.181    0.253    0.253
## 39             mach4 ~~   narc2  5.582 -0.185  -0.185   -0.253   -0.253
## 40       psychopathy =~   mach2  5.463 -0.603  -0.603   -0.553   -0.553
## 41            psych1 ~~  psych4  5.305 -0.167  -0.167   -0.264   -0.264
## 42             mach9 ~~  psych4  5.060 -0.181  -0.181   -0.245   -0.245
## 43             mach2 ~~   narc8  5.019 -0.219  -0.219   -0.240   -0.240
## 44             mach8 ~~  psych9  4.943  0.271   0.271    0.228    0.228
## 45            psych6 ~~  psych7  4.857  0.174   0.174    0.234    0.234
## 46             narc2 ~~   narc8  4.620  0.217   0.217    0.252    0.252
## 47        narcissism =~   mach9  4.560  0.377   0.377    0.361    0.361
## 48            psych8 ~~ psych10  4.407 -0.181  -0.181   -0.228   -0.228
## 49             mach1 ~~  psych4  4.328 -0.178  -0.178   -0.217   -0.217
## 50            psych1 ~~  psych9  4.238  0.174   0.174    0.220    0.220
## 51             narc2 ~~   narc9  4.230 -0.229  -0.229   -0.224   -0.224
## 52             mach6 ~~  psych9  4.220 -0.246  -0.246   -0.207   -0.207
## 53             mach3 ~~   narc4  4.214  0.205   0.205    0.209    0.209
## 54             mach8 ~~   narc4  4.151 -0.234  -0.234   -0.208   -0.208
## 55             narc3 ~~   narc9  4.072 -0.238  -0.238   -0.215   -0.215
## 56             mach2 ~~   mach5  3.959 -0.214  -0.214   -0.215   -0.215
## 57             mach2 ~~   narc4  3.945  0.199   0.199    0.202    0.202
## 58        narcissism =~   mach5  3.927 -0.419  -0.419   -0.333   -0.333
## 59             narc5 ~~ psych10  3.924  0.184   0.184    0.204    0.204
## 60             mach9 ~~   narc5  3.917  0.171   0.171    0.209    0.209
## 61             mach1 ~~   narc4  3.898  0.191   0.191    0.197    0.197
## 62             mach3 ~~   narc6  3.868 -0.177  -0.177   -0.210   -0.210
## 63       psychopathy =~   mach9  3.859 -0.471  -0.471   -0.451   -0.451
## 64             mach8 ~~   narc3  3.845  0.229   0.229    0.207    0.207
## 65             mach2 ~~  psych2  3.827 -0.227  -0.227   -0.201   -0.201
## 66            psych3 ~~  psych4  3.819 -0.140  -0.140   -0.234   -0.234
## 67             mach4 ~~   narc6  3.709 -0.143  -0.143   -0.206   -0.206
## 68             narc5 ~~   narc8  3.592 -0.187  -0.187   -0.210   -0.210
## 69            mach10 ~~  psych4  3.552 -0.150  -0.150   -0.201   -0.201
## 70             narc7 ~~  psych9  3.514  0.189   0.189    0.196    0.196
## 71             narc3 ~~  narc10  3.478 -0.216  -0.216   -0.200   -0.200
## 72             mach3 ~~  psych9  3.475 -0.197  -0.197   -0.190   -0.190
## 73            psych9 ~~ psych10  3.450  0.193   0.193    0.190    0.190
## 74             mach2 ~~  psych4  3.444 -0.165  -0.165   -0.198   -0.198
## 75            mach10 ~~ psych10  3.366  0.157   0.157    0.189    0.189
## 76             mach3 ~~ psych10  3.341  0.173   0.173    0.188    0.188
## 77             mach5 ~~  psych6  3.308 -0.152  -0.152   -0.193   -0.193
## 78             mach9 ~~  psych1  3.295  0.127   0.127    0.199    0.199
## 79             mach9 ~~   narc2  3.272  0.157   0.157    0.198    0.198
## 80            mach10 ~~   narc9  3.218 -0.180  -0.180   -0.184   -0.184
## 81            psych6 ~~  psych8  3.211 -0.126  -0.126   -0.196   -0.196
## 82             mach7 ~~  mach10  3.196 -0.115  -0.115   -0.190   -0.190
## 83  machiavellianism =~   narc8  3.189 -0.338  -0.338   -0.291   -0.291
## 84             mach2 ~~   mach4  3.177  0.145   0.145    0.187    0.187
## 85             narc4 ~~  narc10  3.131 -0.199  -0.199   -0.181   -0.181
## 86             mach5 ~~   narc3  3.107 -0.194  -0.194   -0.190   -0.190
## 87       psychopathy =~  narc10  3.094  0.252   0.252    0.211    0.211
## 88             mach5 ~~  psych1  3.080 -0.147  -0.147   -0.193   -0.193
## 89             mach4 ~~   mach9  3.076 -0.130  -0.130   -0.189   -0.189
## 90             narc7 ~~  psych1  3.034 -0.127  -0.127   -0.190   -0.190
## 91             narc6 ~~   narc9  3.026  0.183   0.183    0.189    0.189
## 92             mach8 ~~   narc5  3.011  0.190   0.190    0.181    0.181
## 93             mach6 ~~  psych7  2.930  0.190   0.190    0.177    0.177
## 94             mach1 ~~   mach5  2.919 -0.176  -0.176   -0.179   -0.179
## 95            mach10 ~~   narc2  2.903  0.146   0.146    0.182    0.182
## 96             narc8 ~~  psych1  2.858 -0.129  -0.129   -0.186   -0.186
## 97             mach9 ~~  psych6  2.856  0.118   0.118    0.178    0.178
## 98             mach5 ~~   narc7  2.853 -0.170  -0.170   -0.184   -0.184
## 99             mach3 ~~   narc7  2.831 -0.156  -0.156   -0.179   -0.179
## 100            narc3 ~~   narc6  2.825  0.164   0.164    0.190    0.190
## 101            mach9 ~~   narc3  2.793 -0.154  -0.154   -0.179   -0.179
## 102            narc8 ~~  psych2  2.759  0.192   0.192    0.176    0.176
## 103            narc3 ~~   narc7  2.756  0.167   0.167    0.187    0.187
## 104            mach6 ~~   mach8  2.713  0.209   0.209    0.171    0.171
## 105           psych2 ~~  psych9  2.683  0.207   0.207    0.166    0.166
## 106            narc9 ~~  psych7  2.629  0.182   0.182    0.168    0.168
## 107            mach7 ~~   narc6  2.610 -0.105  -0.105   -0.175   -0.175
## 108            narc4 ~~   narc6  2.594 -0.151  -0.151   -0.172   -0.172
## 109            narc2 ~~  psych9  2.572 -0.166  -0.166   -0.169   -0.169
## 110            mach8 ~~  mach10  2.565 -0.164  -0.164   -0.168   -0.168
## 111            narc5 ~~  psych2  2.558  0.181   0.181    0.164    0.164
## 112            narc1 ~~   narc4  2.543  0.165   0.165    0.169    0.169
## 113       narcissism =~  psych4  2.543 -0.191  -0.191   -0.184   -0.184
## 114            narc9 ~~  psych2  2.539 -0.210  -0.210   -0.162   -0.162
## 115            mach8 ~~   narc9  2.539  0.204   0.204    0.165    0.165
## 116            narc2 ~~  narc10  2.496 -0.173  -0.173   -0.174   -0.174
## 117            narc7 ~~  psych3  2.491  0.111   0.111    0.177    0.177
## 118            mach3 ~~   narc1  2.446 -0.156  -0.156   -0.166   -0.166
## 119            mach3 ~~   mach5  2.442 -0.167  -0.167   -0.168   -0.168
## 120           psych3 ~~ psych10  2.433  0.116   0.116    0.175    0.175
## 121           psych1 ~~  psych2  2.334 -0.142  -0.142   -0.164   -0.164
## 122            mach6 ~~  psych4  2.305  0.151   0.151    0.160    0.160
## 123            mach6 ~~   mach9  2.272 -0.152  -0.152   -0.159   -0.159
## 124           psych2 ~~  psych6  2.270 -0.139  -0.139   -0.156   -0.156
## 125            narc5 ~~   narc9  2.269  0.166   0.166    0.157    0.157
## 126            mach1 ~~   mach8  2.268 -0.164  -0.164   -0.154   -0.154
## 127            narc8 ~~   narc9  2.265 -0.172  -0.172   -0.164   -0.164
## 128            narc8 ~~  psych9  2.258  0.159   0.159    0.158    0.158
## 129            narc8 ~~  narc10  2.258 -0.169  -0.169   -0.166   -0.166
## 130       narcissism =~   mach2  2.243  0.285   0.285    0.261    0.261
## 131            mach3 ~~  psych2  2.229 -0.173  -0.173   -0.153   -0.153
## 132           narc10 ~~  psych1  2.208  0.127   0.127    0.158    0.158
## 133            narc2 ~~   narc7  2.207 -0.142  -0.142   -0.172   -0.172
## 134            mach1 ~~   narc6  2.204 -0.129  -0.129   -0.156   -0.156
## 135            narc6 ~~  psych2  2.166  0.157   0.157    0.155    0.155
## 136            mach7 ~~   narc4  2.150 -0.106  -0.106   -0.151   -0.151
## 137            narc1 ~~  psych8  2.124  0.129   0.129    0.159    0.159
## 138           psych1 ~~  psych3  2.109  0.091   0.091    0.175    0.175
## 139            mach5 ~~   narc6  2.105  0.141   0.141    0.159    0.159
## 140            narc7 ~~  psych8  2.103 -0.119  -0.119   -0.159   -0.159
## 141            mach5 ~~  psych2  2.074  0.180   0.180    0.151    0.151
## 142            narc2 ~~  psych5  2.001  0.148   0.148    0.151    0.151
## 143            mach7 ~~  psych7  1.973  0.100   0.100    0.149    0.149
## 144            narc4 ~~   narc7  1.963  0.135   0.135    0.149    0.149
## 145            mach5 ~~ psych10  1.937 -0.143  -0.143   -0.147   -0.147
## 146            mach2 ~~  psych5  1.904 -0.148  -0.148   -0.143   -0.143
## 147            narc3 ~~  psych6  1.899 -0.110  -0.110   -0.145   -0.145
## 148            narc6 ~~  psych8  1.885  0.109   0.109    0.151    0.151
## 149            narc6 ~~  narc10  1.875 -0.141  -0.141   -0.150   -0.150
## 150           psych3 ~~  psych9  1.812  0.111   0.111    0.148    0.148
## 151 machiavellianism =~   narc7  1.795 -0.240  -0.240   -0.220   -0.220
## 152            mach7 ~~   narc1  1.780  0.096   0.096    0.144    0.144
## 153            narc3 ~~   narc4  1.763  0.140   0.140    0.139    0.139
## 154            mach4 ~~   narc8  1.737 -0.106  -0.106   -0.142   -0.142
## 155            narc9 ~~  psych1  1.705  0.114   0.114    0.138    0.138
## 156            narc4 ~~  psych1  1.693  0.102   0.102    0.136    0.136
## 157           psych1 ~~  psych6  1.690  0.081   0.081    0.142    0.142
## 158 machiavellianism =~  psych4  1.688 -0.306  -0.306   -0.293   -0.293
## 159            mach5 ~~  psych5  1.676  0.151   0.151    0.137    0.137
## 160            mach6 ~~  narc10  1.675  0.158   0.158    0.132    0.132
## 161      psychopathy =~   narc8  1.658 -0.170  -0.170   -0.146   -0.146
## 162 machiavellianism =~   narc2  1.651  0.237   0.237    0.210    0.210
## 163      psychopathy =~   mach3  1.648 -0.329  -0.329   -0.304   -0.304
## 164           psych4 ~~  psych7  1.635 -0.117  -0.117   -0.142   -0.142
## 165            mach1 ~~ psych10  1.626  0.117   0.117    0.129    0.129
## 166            mach4 ~~   narc1  1.620 -0.104  -0.104   -0.135   -0.135
## 167            narc4 ~~  psych4  1.619 -0.115  -0.115   -0.133   -0.133
## 168            narc5 ~~  psych8  1.610 -0.107  -0.107   -0.135   -0.135
## 169           mach10 ~~  psych1  1.604  0.088   0.088    0.135    0.135
## 170            mach6 ~~   narc4  1.599 -0.142  -0.142   -0.127   -0.127
## 171            narc1 ~~  psych4  1.597 -0.114  -0.114   -0.137   -0.137
## 172            narc5 ~~   narc7  1.568 -0.117  -0.117   -0.137   -0.137
## 173            mach9 ~~  mach10  1.528  0.100   0.100    0.132    0.132
## 174            mach1 ~~  psych3  1.452  0.087   0.087    0.129    0.129
## 175            mach5 ~~  narc10  1.437 -0.141  -0.141   -0.127   -0.127
## 176            mach9 ~~  psych8  1.418 -0.094  -0.094   -0.130   -0.130
## 177            narc3 ~~  psych2  1.413  0.143   0.143    0.124    0.124
## 178            mach2 ~~  psych6  1.402  0.091   0.091    0.123    0.123
## 179            narc7 ~~  psych7  1.385  0.110   0.110    0.126    0.126
## 180            mach2 ~~  mach10  1.381 -0.104  -0.104   -0.123   -0.123
## 181           psych5 ~~ psych10  1.379 -0.124  -0.124   -0.122   -0.122
## 182            mach7 ~~  psych1  1.339  0.065   0.065    0.126    0.126
## 183            mach3 ~~  psych1  1.336  0.089   0.089    0.124    0.124
## 184            narc4 ~~   narc8  1.334 -0.118  -0.118   -0.124   -0.124
## 185            mach4 ~~   mach7  1.331  0.068   0.068    0.123    0.123
## 186            narc6 ~~  psych5  1.329  0.114   0.114    0.123    0.123
## 187            narc5 ~~  psych6  1.318 -0.086  -0.086   -0.119   -0.119
## 188            mach4 ~~ psych10  1.308 -0.090  -0.090   -0.118   -0.118
## 189            mach7 ~~  psych2  1.270 -0.095  -0.095   -0.117   -0.117
## 190           narc10 ~~  psych5  1.268 -0.135  -0.135   -0.116   -0.116
## 191            mach2 ~~  psych9  1.259  0.119   0.119    0.115    0.115
## 192            mach1 ~~   narc2  1.258  0.104   0.104    0.118    0.118
## 193            mach2 ~~  narc10  1.257  0.122   0.122    0.116    0.116
## 194 machiavellianism =~   narc5  1.249  0.200   0.200    0.191    0.191
## 195            mach3 ~~   mach8  1.230 -0.125  -0.125   -0.116   -0.116
## 196            mach7 ~~  psych9  1.197 -0.084  -0.084   -0.113   -0.113
## 197            mach4 ~~  psych1  1.183 -0.069  -0.069   -0.117   -0.117
## 198            mach3 ~~   narc5  1.172  0.103   0.103    0.112    0.112
## 199            mach6 ~~  psych6  1.172  0.094   0.094    0.111    0.111
## 200       narcissism =~   mach4  1.163 -0.169  -0.169   -0.187   -0.187
## 201            narc3 ~~  psych8  1.155 -0.097  -0.097   -0.116   -0.116
## 202            mach5 ~~   mach9  1.154 -0.106  -0.106   -0.120   -0.120
## 203            narc1 ~~  psych6  1.151 -0.084  -0.084   -0.113   -0.113
## 204            narc9 ~~  psych4  1.139 -0.107  -0.107   -0.113   -0.113
## 205            mach1 ~~   mach2  1.138 -0.101  -0.101   -0.109   -0.109
## 206            narc2 ~~  psych3  1.113 -0.076  -0.076   -0.119   -0.119
## 207      psychopathy =~   narc7  1.100 -0.131  -0.131   -0.120   -0.120
## 208           narc10 ~~  psych6  1.098  0.090   0.090    0.108    0.108
## 209            mach6 ~~ psych10  1.096  0.112   0.112    0.107    0.107
## 210           psych4 ~~  psych8  1.083  0.086   0.086    0.120    0.120
## 211            mach3 ~~  psych3  1.074 -0.077  -0.077   -0.114   -0.114
## 212            narc4 ~~  psych3  1.068 -0.078  -0.078   -0.111   -0.111
## 213            mach7 ~~   narc9  1.067  0.083   0.083    0.108    0.108
## 214            mach5 ~~   narc9  1.051  0.123   0.123    0.108    0.108
## 215            mach2 ~~   narc3  1.044  0.104   0.104    0.108    0.108
## 216            narc1 ~~  psych3  1.030  0.077   0.077    0.113    0.113
## 217            mach7 ~~   narc8  1.012 -0.071  -0.071   -0.109   -0.109
## 218            mach4 ~~   narc4  0.994  0.082   0.082    0.102    0.102
## 219            mach3 ~~   narc8  0.989 -0.097  -0.097   -0.107   -0.107
## 220           psych6 ~~  psych9  0.987  0.084   0.084    0.102    0.102
## 221            mach2 ~~  psych8  0.978 -0.086  -0.086   -0.106   -0.106
## 222            narc6 ~~   narc8  0.975  0.094   0.094    0.116    0.116
## 223            mach4 ~~  psych4  0.958  0.071   0.071    0.105    0.105
## 224            mach6 ~~   narc3  0.956 -0.112  -0.112   -0.102   -0.102
## 225            mach3 ~~  psych4  0.912 -0.084  -0.084   -0.102   -0.102
## 226            mach2 ~~   narc2  0.900  0.091   0.091    0.102    0.102
## 227           psych3 ~~  psych7  0.888  0.074   0.074    0.109    0.109
## 228            mach6 ~~   narc6  0.888 -0.095  -0.095   -0.100   -0.100
## 229            mach1 ~~   narc7  0.884  0.085   0.085    0.098    0.098
## 230            mach3 ~~  narc10  0.872  0.101   0.101    0.097    0.097
## 231            mach2 ~~   narc1  0.869  0.093   0.093    0.099    0.099
## 232            mach6 ~~   narc8  0.862 -0.102  -0.102   -0.098   -0.098
## 233           psych1 ~~ psych10  0.847  0.070   0.070    0.100    0.100
## 234            narc9 ~~  psych6  0.845  0.081   0.081    0.094    0.094
## 235            narc2 ~~   narc4  0.843  0.091   0.091    0.098    0.098
## 236            narc6 ~~  psych3  0.831 -0.062  -0.062   -0.102   -0.102
## 237            mach6 ~~  psych8  0.823  0.089   0.089    0.096    0.096
## 238            mach1 ~~   mach6  0.819 -0.097  -0.097   -0.091   -0.091
## 239           psych3 ~~  psych5  0.818 -0.077  -0.077   -0.102   -0.102
## 240            mach2 ~~   narc5  0.788 -0.085  -0.085   -0.092   -0.092
## 241            narc7 ~~  psych6  0.778  0.065   0.065    0.094    0.094
## 242            narc1 ~~  narc10  0.775  0.100   0.100    0.096    0.096
## 243            mach1 ~~  psych9  0.773 -0.090  -0.090   -0.088   -0.088
## 244            mach3 ~~  mach10  0.773  0.078   0.078    0.092    0.092
## 245            narc8 ~~  psych7  0.758 -0.086  -0.086   -0.094   -0.094
## 246            narc3 ~~  psych1  0.756 -0.069  -0.069   -0.094   -0.094
## 247            mach5 ~~   mach6  0.753  0.104   0.104    0.092    0.092
## 248            narc4 ~~ psych10  0.743  0.084   0.084    0.087    0.087
## 249            mach5 ~~  psych7  0.724 -0.091  -0.091   -0.091   -0.091
## 250            mach9 ~~  psych9  0.715  0.081   0.081    0.088    0.088
## 251            narc2 ~~  psych7  0.712 -0.081  -0.081   -0.091   -0.091
## 252            mach1 ~~  psych7  0.700 -0.080  -0.080   -0.086   -0.086
## 253            mach9 ~~  psych2  0.698 -0.088  -0.088   -0.087   -0.087
## 254            narc1 ~~   narc8  0.690 -0.087  -0.087   -0.096   -0.096
## 255            narc1 ~~   narc9  0.685 -0.096  -0.096   -0.089   -0.089
## 256            mach3 ~~   mach9  0.663  0.073   0.073    0.087    0.087
## 257            mach2 ~~   narc6  0.656 -0.073  -0.073   -0.087   -0.087
## 258            mach8 ~~  psych4  0.653  0.082   0.082    0.087    0.087
## 259            narc8 ~~  psych5  0.651  0.087   0.087    0.086    0.086
## 260           psych5 ~~  psych6  0.650 -0.069  -0.069   -0.084   -0.084
## 261            mach7 ~~   narc5  0.648 -0.055  -0.055   -0.085   -0.085
## 262            narc1 ~~   narc3  0.643  0.086   0.086    0.090    0.090
## 263            mach4 ~~  psych6  0.636 -0.051  -0.051   -0.083   -0.083
## 264       narcissism =~  psych5  0.623  0.113   0.113    0.096    0.096
## 265            mach6 ~~  psych2  0.623 -0.103  -0.103   -0.080   -0.080
## 266            narc5 ~~   narc6  0.615  0.071   0.071    0.086    0.086
## 267           mach10 ~~   narc6  0.608 -0.063  -0.063   -0.083   -0.083
## 268           psych6 ~~ psych10  0.598 -0.059  -0.059   -0.080   -0.080
## 269            narc7 ~~  psych5  0.596 -0.079  -0.079   -0.082   -0.082
## 270            narc1 ~~  psych7  0.596 -0.077  -0.077   -0.082   -0.082
## 271            mach6 ~~   narc1  0.596 -0.087  -0.087   -0.081   -0.081
## 272      psychopathy =~   narc2  0.587  0.098   0.098    0.087    0.087
## 273            mach9 ~~   narc7  0.581 -0.064  -0.064   -0.083   -0.083
## 274            mach6 ~~  psych3  0.569 -0.063  -0.063   -0.082   -0.082
## 275            narc2 ~~   narc5  0.561 -0.072  -0.072   -0.083   -0.083
## 276            mach2 ~~  psych7  0.551  0.073   0.073    0.078    0.078
## 277            mach9 ~~   narc4  0.541 -0.067  -0.067   -0.076   -0.076
## 278            mach9 ~~  psych7  0.531 -0.065  -0.065   -0.078   -0.078
## 279            mach7 ~~  psych3  0.511  0.039   0.039    0.080    0.080
## 280            mach4 ~~   mach8  0.509  0.067   0.067    0.075    0.075
## 281            mach9 ~~  psych5  0.504 -0.069  -0.069   -0.075   -0.075
## 282            narc6 ~~  psych1  0.503  0.050   0.050    0.078    0.078
## 283            mach2 ~~   narc9  0.500  0.079   0.079    0.073    0.073
## 284            mach5 ~~   narc2  0.492 -0.073  -0.073   -0.077   -0.077
## 285            narc9 ~~  psych9  0.489 -0.085  -0.085   -0.071   -0.071
## 286       narcissism =~   mach8  0.467  0.150   0.150    0.118    0.118
## 287            mach6 ~~   narc2  0.458 -0.073  -0.073   -0.072   -0.072
## 288           mach10 ~~  psych8  0.457  0.053   0.053    0.072    0.072
## 289            mach2 ~~   mach6  0.448 -0.074  -0.074   -0.069   -0.069
## 290           psych5 ~~  psych7  0.439 -0.073  -0.073   -0.070   -0.070
## 291           narc10 ~~  psych8  0.438 -0.064  -0.064   -0.070   -0.070
## 292            mach9 ~~   narc1  0.418  0.058   0.058    0.070    0.070
## 293           psych3 ~~  psych8  0.416 -0.046  -0.046   -0.078   -0.078
## 294            mach1 ~~  psych5  0.415 -0.067  -0.067   -0.065   -0.065
## 295           mach10 ~~  psych9  0.410 -0.061  -0.061   -0.065   -0.065
## 296            mach3 ~~   mach6  0.409  0.070   0.070    0.066    0.066
## 297            narc3 ~~ psych10  0.409 -0.063  -0.063   -0.067   -0.067
## 298            mach7 ~~   narc3  0.403 -0.047  -0.047   -0.068   -0.068
## 299      psychopathy =~   narc5  0.393  0.079   0.079    0.075    0.075
## 300            mach8 ~~  psych3  0.390 -0.054  -0.054   -0.069   -0.069
## 301           mach10 ~~  psych3  0.387  0.042   0.042    0.068    0.068
## 302           mach10 ~~  psych7  0.385 -0.055  -0.055   -0.065   -0.065
## 303            narc5 ~~  psych9  0.381 -0.064  -0.064   -0.063   -0.063
## 304            narc6 ~~  psych6  0.381  0.044   0.044    0.066    0.066
## 305            narc4 ~~  psych5  0.381 -0.068  -0.068   -0.063   -0.063
## 306            mach7 ~~   mach8  0.378 -0.051  -0.051   -0.066   -0.066
## 307           mach10 ~~   narc1  0.372  0.055   0.055    0.065    0.065
## 308            mach1 ~~  psych6  0.371  0.046   0.046    0.062    0.062
## 309            mach5 ~~   narc1  0.368  0.065   0.065    0.066    0.066
## 310            narc8 ~~  psych4  0.367  0.053   0.053    0.066    0.066
## 311            mach2 ~~   mach8  0.353 -0.067  -0.067   -0.062   -0.062
## 312            narc3 ~~  psych4  0.348 -0.054  -0.054   -0.064   -0.064
## 313           psych7 ~~  psych8  0.347  0.053   0.053    0.065    0.065
## 314            mach4 ~~   narc5  0.339 -0.046  -0.046   -0.060   -0.060
## 315            mach4 ~~  mach10  0.337 -0.042  -0.042   -0.061   -0.061
## 316            mach6 ~~   narc5  0.328  0.061   0.061    0.059    0.059
## 317            mach1 ~~   narc5  0.323  0.052   0.052    0.058    0.058
## 318       narcissism =~   mach3  0.323  0.107   0.107    0.099    0.099
## 319            mach7 ~~  psych4  0.322  0.036   0.036    0.061    0.061
## 320       narcissism =~  mach10  0.318  0.096   0.096    0.099    0.099
## 321           psych3 ~~  psych6  0.317 -0.034  -0.034   -0.064   -0.064
## 322 machiavellianism =~  psych6  0.315  0.111   0.111    0.132    0.132
## 323       narcissism =~  psych6  0.314  0.057   0.057    0.068    0.068
## 324           mach10 ~~  psych6  0.310 -0.039  -0.039   -0.058   -0.058
## 325            narc2 ~~   narc3  0.309 -0.058  -0.058   -0.063   -0.063
## 326            mach1 ~~   narc1  0.305 -0.053  -0.053   -0.058   -0.058
## 327            narc8 ~~  psych8  0.304 -0.048  -0.048   -0.061   -0.061
## 328           psych7 ~~  psych9  0.300 -0.059  -0.059   -0.057   -0.057
## 329            narc4 ~~  psych8  0.298 -0.048  -0.048   -0.057   -0.057
## 330            mach6 ~~   mach7  0.293 -0.043  -0.043   -0.057   -0.057
## 331            mach9 ~~   narc9  0.292  0.054   0.054    0.057    0.057
## 332      psychopathy =~   mach7  0.291  0.102   0.102    0.125    0.125
## 333           psych2 ~~ psych10  0.283  0.060   0.060    0.055    0.055
## 334       narcissism =~  psych2  0.275  0.080   0.080    0.065    0.065
## 335            mach1 ~~  psych1  0.274  0.039   0.039    0.055    0.055
## 336            narc4 ~~  psych9  0.274  0.057   0.057    0.052    0.052
## 337            mach1 ~~   mach4  0.257  0.040   0.040    0.052    0.052
## 338            mach7 ~~   narc7  0.254  0.034   0.034    0.054    0.054
## 339            mach7 ~~  psych8  0.254  0.032   0.032    0.055    0.055
## 340            mach7 ~~   narc2  0.251 -0.035  -0.035   -0.054   -0.054
## 341            mach4 ~~  psych7  0.247 -0.040  -0.040   -0.052   -0.052
## 342            narc7 ~~  psych4  0.244 -0.041  -0.041   -0.054   -0.054
## 343            mach9 ~~   narc8  0.239  0.043   0.043    0.054    0.054
## 344            narc6 ~~  psych4  0.230  0.039   0.039    0.052    0.052
## 345            mach2 ~~   mach7  0.229  0.034   0.034    0.051    0.051
## 346           narc10 ~~  psych4  0.221 -0.046  -0.046   -0.050   -0.050
## 347            mach9 ~~  narc10  0.219  0.046   0.046    0.049    0.049
## 348 machiavellianism =~   narc6  0.211 -0.080  -0.080   -0.075   -0.075
## 349            mach1 ~~   narc8  0.209  0.043   0.043    0.048    0.048
## 350            mach5 ~~   narc5  0.209  0.047   0.047    0.048    0.048
## 351            mach8 ~~  psych2  0.207  0.061   0.061    0.047    0.047
## 352            narc8 ~~  psych3  0.205  0.034   0.034    0.051    0.051
## 353            narc5 ~~  psych4  0.204 -0.039  -0.039   -0.048   -0.048
## 354            mach5 ~~   narc4  0.203 -0.049  -0.049   -0.047   -0.047
## 355            mach2 ~~ psych10  0.192 -0.042  -0.042   -0.045   -0.045
## 356            mach7 ~~  psych5  0.187 -0.034  -0.034   -0.045   -0.045
## 357       narcissism =~  psych3  0.187  0.045   0.045    0.049    0.049
## 358 machiavellianism =~  psych1  0.182  0.087   0.087    0.096    0.096
## 359            mach8 ~~  psych5  0.182 -0.053  -0.053   -0.044   -0.044
## 360            mach8 ~~   narc7  0.181  0.046   0.046    0.046    0.046
## 361            narc8 ~~  psych6  0.180  0.033   0.033    0.045    0.045
## 362            narc2 ~~  psych6  0.177  0.032   0.032    0.045    0.045
## 363            mach3 ~~  psych5  0.174 -0.045  -0.045   -0.043   -0.043
## 364            mach6 ~~  psych5  0.172  0.050   0.050    0.042    0.042
## 365            mach4 ~~  psych9  0.171 -0.036  -0.036   -0.042   -0.042
## 366           narc10 ~~  psych3  0.167  0.034   0.034    0.044    0.044
## 367            narc9 ~~  psych5  0.163  0.049   0.049    0.041    0.041
## 368            narc5 ~~  psych3  0.161 -0.029  -0.029   -0.044   -0.044
## 369            mach8 ~~  psych7  0.153  0.044   0.044    0.041    0.041
## 370      psychopathy =~   narc6  0.149  0.047   0.047    0.044    0.044
## 371            narc4 ~~   narc5  0.144 -0.037  -0.037   -0.039   -0.039
## 372            mach9 ~~  psych3  0.142 -0.026  -0.026   -0.042   -0.042
## 373           psych1 ~~  psych8  0.142 -0.027  -0.027   -0.044   -0.044
## 374           mach10 ~~   narc7  0.141 -0.032  -0.032   -0.040   -0.040
## 375            narc4 ~~  psych7  0.140  0.038   0.038    0.038    0.038
## 376            mach3 ~~  psych7  0.139 -0.037  -0.037   -0.039   -0.039
## 377 machiavellianism =~  psych5  0.138  0.103   0.103    0.087    0.087
## 378           narc10 ~~  psych7  0.136  0.040   0.040    0.038    0.038
## 379            mach4 ~~  psych8  0.135 -0.026  -0.026   -0.039   -0.039
## 380            mach1 ~~   mach7  0.129 -0.025  -0.025   -0.037   -0.037
## 381            mach8 ~~  psych6  0.125  0.031   0.031    0.037    0.037
## 382            narc2 ~~  psych4  0.125  0.030   0.030    0.039    0.039
## 383            mach2 ~~  psych1  0.123 -0.027  -0.027   -0.038   -0.038
## 384            mach1 ~~  psych8  0.123 -0.029  -0.029   -0.037   -0.037
## 385           mach10 ~~   narc3  0.121 -0.032  -0.032   -0.037   -0.037
## 386           psych4 ~~  psych9  0.121  0.034   0.034    0.037    0.037
## 387            narc2 ~~  psych2  0.118 -0.039  -0.039   -0.036   -0.036
## 388            mach4 ~~  narc10  0.115 -0.030  -0.030   -0.035   -0.035
## 389            mach7 ~~  psych6  0.114 -0.019  -0.019   -0.035   -0.035
## 390            narc6 ~~   narc7  0.114 -0.030  -0.030   -0.039   -0.039
## 391            narc5 ~~  psych5  0.114 -0.035  -0.035   -0.035   -0.035
## 392            narc5 ~~  narc10  0.111  0.036   0.036    0.035    0.035
## 393 machiavellianism =~   narc4  0.111  0.062   0.062    0.059    0.059
## 394            narc9 ~~ psych10  0.109 -0.036  -0.036   -0.034   -0.034
## 395            mach3 ~~   narc3  0.108  0.033   0.033    0.034    0.034
## 396            narc1 ~~  psych1  0.106  0.025   0.025    0.036    0.036
## 397            narc9 ~~  psych8  0.105  0.032   0.032    0.034    0.034
## 398            mach5 ~~  psych9  0.105 -0.037  -0.037   -0.034   -0.034
## 399 machiavellianism =~   narc1  0.104 -0.062  -0.062   -0.053   -0.053
## 400       narcissism =~  psych8  0.097 -0.037  -0.037   -0.036   -0.036
## 401            narc9 ~~  psych3  0.096  0.026   0.026    0.034    0.034
## 402            narc2 ~~ psych10  0.096 -0.029  -0.029   -0.033   -0.033
## 403            mach7 ~~   mach9  0.096 -0.020  -0.020   -0.034   -0.034
## 404            mach1 ~~   mach9  0.095 -0.027  -0.027   -0.032   -0.032
## 405      psychopathy =~   mach1  0.095 -0.075  -0.075   -0.077   -0.077
## 406            mach1 ~~  narc10  0.093 -0.032  -0.032   -0.031   -0.031
## 407            narc5 ~~  psych1  0.093  0.023   0.023    0.032    0.032
## 408           mach10 ~~  psych2  0.083 -0.030  -0.030   -0.029   -0.029
## 409            mach5 ~~   narc8  0.081  0.030   0.030    0.031    0.031
## 410            mach5 ~~  mach10  0.080 -0.027  -0.027   -0.031   -0.031
## 411            mach8 ~~  narc10  0.080  0.035   0.035    0.029    0.029
## 412           narc10 ~~ psych10  0.080 -0.030  -0.030   -0.029   -0.029
## 413            mach4 ~~  psych2  0.079  0.027   0.027    0.029    0.029
## 414            narc7 ~~ psych10  0.077  0.025   0.025    0.029    0.029
## 415            mach3 ~~   mach4  0.076 -0.022  -0.022   -0.029   -0.029
## 416            mach9 ~~ psych10  0.074  0.024   0.024    0.029    0.029
## 417            narc6 ~~  psych7  0.074  0.025   0.025    0.029    0.029
## 418           psych4 ~~  psych6  0.072  0.019   0.019    0.029    0.029
## 419            mach8 ~~   mach9  0.070 -0.027  -0.027   -0.029   -0.029
## 420           mach10 ~~   narc8  0.068  0.023   0.023    0.028    0.028
## 421           mach10 ~~   narc5  0.065  0.022   0.022    0.026    0.026
## 422            mach8 ~~   narc2  0.063  0.028   0.028    0.027    0.027
## 423 machiavellianism =~  psych3  0.060  0.050   0.050    0.055    0.055
## 424            mach3 ~~  psych6  0.060 -0.019  -0.019   -0.025   -0.025
## 425            narc7 ~~  narc10  0.059 -0.026  -0.026   -0.027   -0.027
## 426            mach8 ~~ psych10  0.059 -0.026  -0.026   -0.025   -0.025
## 427            mach3 ~~  psych8  0.057 -0.021  -0.021   -0.026   -0.026
## 428            narc2 ~~  psych8  0.053  0.019   0.019    0.025    0.025
## 429            narc5 ~~  psych7  0.053 -0.022  -0.022   -0.024   -0.024
## 430            narc8 ~~ psych10  0.052  0.022   0.022    0.024    0.024
## 431           mach10 ~~  psych5  0.050 -0.022  -0.022   -0.023   -0.023
## 432            mach2 ~~  psych3  0.047 -0.016  -0.016   -0.024   -0.024
## 433            mach5 ~~   mach8  0.046 -0.027  -0.027   -0.023   -0.023
## 434            narc1 ~~  psych2  0.043  0.024   0.024    0.022    0.022
## 435            narc4 ~~  psych6  0.042  0.016   0.016    0.021    0.021
## 436           psych1 ~~  psych7  0.040  0.016   0.016    0.022    0.022
## 437            narc1 ~~ psych10  0.037 -0.019  -0.019   -0.020   -0.020
## 438           narc10 ~~  psych9  0.037 -0.023  -0.023   -0.020   -0.020
## 439            mach4 ~~   mach6  0.036  0.017   0.017    0.020    0.020
## 440      psychopathy =~   mach8  0.035  0.055   0.055    0.044    0.044
## 441           psych7 ~~ psych10  0.035  0.018   0.018    0.020    0.020
## 442           mach10 ~~  narc10  0.034 -0.018  -0.018   -0.019   -0.019
## 443 machiavellianism =~  psych9  0.030 -0.047  -0.047   -0.042   -0.042
## 444            mach4 ~~  psych3  0.030  0.011   0.011    0.019    0.019
## 445            narc3 ~~  psych7  0.029 -0.017  -0.017   -0.018   -0.018
## 446      psychopathy =~   narc1  0.029 -0.023  -0.023   -0.019   -0.019
## 447 machiavellianism =~  psych2  0.027 -0.048  -0.048   -0.039   -0.039
## 448            mach1 ~~   narc3  0.025  0.016   0.016    0.016    0.016
## 449      psychopathy =~   mach4  0.024 -0.033  -0.033   -0.037   -0.037
## 450            mach9 ~~   narc6  0.024  0.013   0.013    0.017    0.017
## 451       narcissism =~  psych9  0.020  0.020   0.020    0.018    0.018
## 452            mach3 ~~   mach7  0.019 -0.010  -0.010   -0.015   -0.015
## 453           psych4 ~~ psych10  0.019  0.012   0.012    0.015    0.015
## 454            narc1 ~~   narc6  0.018 -0.013  -0.013   -0.016   -0.016
## 455            mach5 ~~   mach7  0.018  0.011   0.011    0.015    0.015
## 456            narc1 ~~  psych5  0.018  0.015   0.015    0.014    0.014
## 457            narc1 ~~   narc5  0.017  0.013   0.013    0.014    0.014
## 458       narcissism =~ psych10  0.016  0.016   0.016    0.016    0.016
## 459            narc1 ~~  psych9  0.016 -0.014  -0.014   -0.013   -0.013
## 460      psychopathy =~  mach10  0.016 -0.029  -0.029   -0.030   -0.030
## 461 machiavellianism =~ psych10  0.016 -0.030  -0.030   -0.030   -0.030
## 462 machiavellianism =~  psych8  0.015  0.028   0.028    0.028    0.028
## 463            narc6 ~~  psych9  0.014  0.012   0.012    0.012    0.012
## 464       narcissism =~   mach7  0.014 -0.017  -0.017   -0.020   -0.020
## 465            narc3 ~~  psych9  0.014 -0.013  -0.013   -0.012   -0.012
## 466            narc7 ~~  psych2  0.014 -0.013  -0.013   -0.012   -0.012
## 467           psych2 ~~  psych8  0.013  0.012   0.012    0.012    0.012
## 468            narc1 ~~   narc7  0.011  0.011   0.011    0.012    0.012
## 469            narc2 ~~   narc6  0.011  0.010   0.010    0.012    0.012
## 470            mach8 ~~   narc6  0.011 -0.011  -0.011   -0.011   -0.011
## 471            mach8 ~~  psych8  0.011  0.010   0.010    0.011    0.011
## 472            mach1 ~~  psych2  0.010  0.011   0.011    0.010    0.010
## 473            narc2 ~~  psych1  0.009 -0.007  -0.007   -0.010   -0.010
## 474            narc3 ~~   narc8  0.008  0.010   0.010    0.010    0.010
## 475            mach5 ~~  psych3  0.007 -0.007  -0.007   -0.010   -0.010
## 476            narc3 ~~  psych3  0.006  0.006   0.006    0.008    0.008
## 477      psychopathy =~   narc4  0.005  0.010   0.010    0.009    0.009
## 478            mach8 ~~   narc8  0.005  0.008   0.008    0.007    0.007
## 479            mach6 ~~  mach10  0.004 -0.007  -0.007   -0.007   -0.007
## 480            narc4 ~~  psych2  0.004 -0.008  -0.008   -0.007   -0.007
## 481       narcissism =~   mach1  0.004  0.011   0.011    0.011    0.011
## 482            mach6 ~~  psych1  0.003 -0.005  -0.005   -0.006   -0.006
## 483            narc6 ~~ psych10  0.003 -0.005  -0.005   -0.006   -0.006
## 484 machiavellianism =~  psych7  0.002  0.013   0.013    0.012    0.012
## 485            mach4 ~~  psych5  0.001  0.003   0.003    0.004    0.004
## 486            mach3 ~~   narc9  0.001 -0.004  -0.004   -0.003   -0.003
## 487            mach4 ~~   narc9  0.001  0.002   0.002    0.003    0.003
## 488       narcissism =~  psych7  0.001  0.003   0.003    0.003    0.003
## 489            mach8 ~~  psych1  0.001 -0.002  -0.002   -0.003   -0.003
## 490       narcissism =~  psych1  0.000  0.002   0.002    0.002    0.002
## 491            narc3 ~~  psych5  0.000 -0.002  -0.002   -0.002   -0.002
## 492            mach2 ~~   narc7  0.000  0.001   0.001    0.002    0.002
## 493           psych2 ~~  psych3  0.000 -0.001  -0.001   -0.001   -0.001
## 494            narc1 ~~   narc2  0.000  0.001   0.001    0.001    0.001
## 495            narc3 ~~   narc5  0.000  0.000   0.000    0.000    0.000