3  Descriptives and Exploratory Data Analysis

Author
Affiliation

John T West

The Pennsylvania State University

Published

June 20, 2024

library(dplyr)
library(tidyr)
library(reshape2)
library(psych)
library(ggplot2)
library(ggcorrplot)
library(GGally)
library(Hmisc)
library(plyr)
library(papaja)

Loading in data from data cleaning page

load("INDI_data.Rdata")

indi.data$Group = as.factor(indi.data$Group)

Missingness - Independent Variables

n and percent present for each IV

# n for each variable
colSums(!is.na(select(indi.data, Arithmetic, backward.span, 
                     letter.numbering, MVPT, PPVT, PPT,
                     WCST.Persev.Errors, 
                     contains("OOO") & contains("Hit.Rate"))))
        Arithmetic      backward.span   letter.numbering               MVPT 
               362                363                363                363 
              PPVT                PPT WCST.Persev.Errors OOO.Color.Hit.Rate 
               358                363                348                363 
 OOO.High.Hit.Rate   OOO.Low.Hit.Rate  OOO.Size.Hit.Rate 
               363                363                363 
# Percent present
round(colSums(!is.na(select(indi.data, Arithmetic, backward.span, 
                     letter.numbering, MVPT, PPVT, PPT,
                     WCST.percent.Persev.Errors, 
                     contains("OOO") & contains("Hit.Rate")))) / 
  nrow(indi.data), 4)*100
                Arithmetic              backward.span 
                     99.72                     100.00 
          letter.numbering                       MVPT 
                    100.00                     100.00 
                      PPVT                        PPT 
                     98.62                     100.00 
WCST.percent.Persev.Errors         OOO.Color.Hit.Rate 
                     95.87                     100.00 
         OOO.High.Hit.Rate           OOO.Low.Hit.Rate 
                    100.00                     100.00 
         OOO.Size.Hit.Rate 
                    100.00 

n and percent present for each IV for OAs

# n for each variable
colSums(!is.na(select(filter(indi.data, Group == "OA"), Arithmetic, backward.span, 
                     letter.numbering, MVPT, PPVT, PPT,
                     WCST.Persev.Errors, 
                     contains("OOO") & contains("Hit.Rate"))))
        Arithmetic      backward.span   letter.numbering               MVPT 
               152                152                152                152 
              PPVT                PPT WCST.Persev.Errors OOO.Color.Hit.Rate 
               152                152                144                152 
 OOO.High.Hit.Rate   OOO.Low.Hit.Rate  OOO.Size.Hit.Rate 
               152                152                152 
# Percent present
round(colSums(!is.na(select(filter(indi.data, Group == "OA"), Arithmetic, backward.span, 
                     letter.numbering, MVPT, PPVT, PPT,
                     WCST.percent.Persev.Errors, 
                     contains("OOO") & contains("Hit.Rate")))) / 
  nrow(filter(indi.data, Group == "OA")), 4)*100
                Arithmetic              backward.span 
                    100.00                     100.00 
          letter.numbering                       MVPT 
                    100.00                     100.00 
                      PPVT                        PPT 
                    100.00                     100.00 
WCST.percent.Persev.Errors         OOO.Color.Hit.Rate 
                     94.74                     100.00 
         OOO.High.Hit.Rate           OOO.Low.Hit.Rate 
                    100.00                     100.00 
         OOO.Size.Hit.Rate 
                    100.00 

n and percent present for each IV for YAs

# n for each variable
colSums(!is.na(select(filter(indi.data, Group == "YA"), Arithmetic, backward.span, 
                     letter.numbering, MVPT, PPVT, PPT,
                     WCST.Persev.Errors, 
                     contains("OOO") & contains("Hit.Rate"))))
        Arithmetic      backward.span   letter.numbering               MVPT 
               210                211                211                211 
              PPVT                PPT WCST.Persev.Errors OOO.Color.Hit.Rate 
               206                211                204                211 
 OOO.High.Hit.Rate   OOO.Low.Hit.Rate  OOO.Size.Hit.Rate 
               211                211                211 
# Percent present
round(colSums(!is.na(select(filter(indi.data, Group == "YA"), Arithmetic, backward.span, 
                     letter.numbering, MVPT, PPVT, PPT,
                     WCST.percent.Persev.Errors, 
                     contains("OOO") & contains("Hit.Rate")))) / 
  nrow(filter(indi.data, Group == "YA")), 4)*100
                Arithmetic              backward.span 
                     99.53                     100.00 
          letter.numbering                       MVPT 
                    100.00                     100.00 
                      PPVT                        PPT 
                     97.63                     100.00 
WCST.percent.Persev.Errors         OOO.Color.Hit.Rate 
                     96.68                     100.00 
         OOO.High.Hit.Rate           OOO.Low.Hit.Rate 
                    100.00                     100.00 
         OOO.Size.Hit.Rate 
                    100.00 

Missingness - False Memory

Note: Using one FA variable per test, as missingness is equivalent across relatedness and confidence.

n and percent present for FM

# n for each variable
colSums(!is.na(select(indi.data, cat.drm.FA.Total.Rates, object.sim.FA.Total.Rates, 
                      schematic.FA.Total.Rates, abstract.img.FA.Total.Rates
                      )))
     cat.drm.FA.Total.Rates   object.sim.FA.Total.Rates 
                        351                         352 
   schematic.FA.Total.Rates abstract.img.FA.Total.Rates 
                        253                         351 
# Percent present
round(colSums(!is.na(select(indi.data, cat.drm.FA.Total.Rates, object.sim.FA.Total.Rates, 
                      schematic.FA.Total.Rates, abstract.img.FA.Total.Rates))) / 
  nrow(indi.data), 4)*100
     cat.drm.FA.Total.Rates   object.sim.FA.Total.Rates 
                      96.69                       96.97 
   schematic.FA.Total.Rates abstract.img.FA.Total.Rates 
                      69.70                       96.69 

n and percent present for FM for OAs

# n for each variable
colSums(!is.na(select(filter(indi.data, Group == "OA"), cat.drm.FA.Total.Rates,
                      object.sim.FA.Total.Rates, 
                      schematic.FA.Total.Rates, abstract.img.FA.Total.Rates)))
     cat.drm.FA.Total.Rates   object.sim.FA.Total.Rates 
                        148                         147 
   schematic.FA.Total.Rates abstract.img.FA.Total.Rates 
                        101                         150 
# Percent present
round(colSums(!is.na(select(filter(indi.data, Group == "OA"), cat.drm.FA.Total.Rates,
                            object.sim.FA.Total.Rates, 
                      schematic.FA.Total.Rates, abstract.img.FA.Total.Rates))) / 
  nrow(filter(indi.data, Group == "OA")), 4)*100
     cat.drm.FA.Total.Rates   object.sim.FA.Total.Rates 
                      97.37                       96.71 
   schematic.FA.Total.Rates abstract.img.FA.Total.Rates 
                      66.45                       98.68 

n and percent present for FM for YAs

# n for each variable
colSums(!is.na(select(filter(indi.data, Group == "YA"), cat.drm.FA.Total.Rates, 
                      object.sim.FA.Total.Rates, 
                      schematic.FA.Total.Rates, abstract.img.FA.Total.Rates)))
     cat.drm.FA.Total.Rates   object.sim.FA.Total.Rates 
                        203                         205 
   schematic.FA.Total.Rates abstract.img.FA.Total.Rates 
                        152                         201 
# Percent present
round(colSums(!is.na(select(filter(indi.data, Group == "YA"), cat.drm.FA.Total.Rates, 
                            object.sim.FA.Total.Rates, 
                      schematic.FA.Total.Rates, abstract.img.FA.Total.Rates))) / 
  nrow(filter(indi.data, Group == "YA")), 4)*100
     cat.drm.FA.Total.Rates   object.sim.FA.Total.Rates 
                      96.21                       97.16 
   schematic.FA.Total.Rates abstract.img.FA.Total.Rates 
                      72.04                       95.26 

Frontal Functioning Descriptives

WCST

Sets completed by age group:

table(indi.data$WCST.Cat.Complete.div.by.Experienced, indi.data$Group)
            
              OA  YA
  0 Out Of 1   9   1
  1 Out Of 2  11   0
  2 Out Of 2   1   0
  2 Out Of 3   9   4
  3 Out Of 4  14   4
  4 Out Of 5  10   3
  5 Out Of 5   2   0
  5 Out Of 6  16  12
  6 Out Of 7  11  11
  7 Out Of 7   2   1
  7 Out Of 8  13  27
  8 Out 9      0   1
  8 Out Of 8   2   2
  8 Out Of 9   9  37
  9 Out Of 9  35 101
indi.data$wcst.sets.completed = 
  substr(indi.data$WCST.Cat.Complete.div.by.Experienced, 1, 1)
indi.data$wcst.sets.completed = as.numeric(indi.data$wcst.sets.completed)

describeBy(indi.data$wcst.sets.completed, indi.data$Group)

 Descriptive statistics by group 
group: OA
   vars   n mean   sd median trimmed  mad min max range  skew kurtosis   se
X1    1 144  5.4 2.97    5.5    5.57 3.71   0   9     9 -0.28    -1.22 0.25
------------------------------------------------------------ 
group: YA
   vars   n mean   sd median trimmed  mad min max range  skew kurtosis   se
X1    1 204 7.76 1.75      8    8.12 1.48   0   9     9 -1.77     3.06 0.12

Trials completed by age group:

describeBy(indi.data$WCST.trials, indi.data$Group)

 Descriptive statistics by group 
group: OA
   vars   n  mean   sd median trimmed mad min max range  skew kurtosis   se
X1    1 144 125.4 5.72    128  126.93   0 106 128    22 -2.07     2.87 0.48
------------------------------------------------------------ 
group: YA
   vars   n  mean   sd median trimmed mad min max range skew kurtosis  se
X1    1 204 122.7 7.15    128  123.93   0 102 128    26 -1.1    -0.03 0.5
print(psych::describeBy(indi.data$WCST.Persev.Errors, 
                        group = indi.data$Group))

 Descriptive statistics by group 
group: OA
   vars   n  mean   sd median trimmed mad min max range skew kurtosis   se
X1    1 144 20.11 11.8     18   19.44 8.9   0  50    50 0.63    -0.07 0.98
------------------------------------------------------------ 
group: YA
   vars   n  mean  sd median trimmed  mad min max range skew kurtosis  se
X1    1 204 15.94 7.2     14   14.73 4.45   0  53    53  2.1     5.68 0.5
print(psych::describe(indi.data$WCST.Persev.Errors))
   vars   n  mean   sd median trimmed  mad min max range skew kurtosis   se
X1    1 348 17.66 9.59     15   16.33 5.93   0  53    53 1.31     1.83 0.51
t.test(formula = indi.data$WCST.Persev.Errors ~ 
         indi.data$Group
       #, paired = FALSE
       )

    Welch Two Sample t-test

data:  indi.data$WCST.Persev.Errors by indi.data$Group
t = 3.7784, df = 217.48, p-value = 0.0002038
alternative hypothesis: true difference in means between group OA and group YA is not equal to 0
95 percent confidence interval:
 1.997131 6.352543
sample estimates:
mean in group OA mean in group YA 
        20.11111         15.93627 
means = indi.data %>%
  dplyr::group_by(Group) %>%
  dplyr::summarise(mean = mean(WCST.Persev.Errors, na.rm = TRUE))

ggplot(indi.data, aes(x = WCST.Persev.Errors, fill = Group)) + 
  geom_vline(data = means, 
             aes(xintercept = mean, color = Group), 
             linewidth = 2, 
             show.legend = FALSE) +
  geom_density(alpha = 0.7, outline.type = "full") +
  labs(y = "Density")
Warning: Removed 15 rows containing non-finite outside the scale range
(`stat_density()`).

rm(means)

Arithmetic

print(psych::describeBy(indi.data$Arithmetic, 
                        group = indi.data$Group))

 Descriptive statistics by group 
group: OA
   vars   n  mean   sd median trimmed  mad min max range  skew kurtosis   se
X1    1 152 10.89 3.25     11   11.03 2.97   3  16    13 -0.42    -0.67 0.26
------------------------------------------------------------ 
group: YA
   vars   n mean   sd median trimmed  mad min max range  skew kurtosis   se
X1    1 210 9.07 3.53      9    9.11 4.45   2  16    14 -0.14    -1.01 0.24
print(psych::describe(indi.data$Arithmetic))
   vars   n mean   sd median trimmed  mad min max range  skew kurtosis   se
X1    1 362 9.83 3.52     10    9.95 4.45   2  16    14 -0.27    -0.87 0.19
t.test(formula = indi.data$Arithmetic ~ 
         indi.data$Group
       #, paired = FALSE
       )

    Welch Two Sample t-test

data:  indi.data$Arithmetic by indi.data$Group
t = 5.0659, df = 340.03, p-value = 6.68e-07
alternative hypothesis: true difference in means between group OA and group YA is not equal to 0
95 percent confidence interval:
 1.111343 2.522116
sample estimates:
mean in group OA mean in group YA 
       10.888158         9.071429 
means = indi.data %>%
  dplyr::group_by(Group) %>%
  dplyr::summarise(mean = mean(Arithmetic, na.rm = TRUE))

ggplot(indi.data, aes(x = Arithmetic, fill = Group)) + 
  geom_vline(data = means, 
             aes(xintercept = mean, color = Group), 
             linewidth = 2, 
             show.legend = FALSE) +
  geom_density(alpha = 0.7, outline.type = "full") +
  labs(y = "Density")
Warning: Removed 1 row containing non-finite outside the scale range
(`stat_density()`).

rm(means)

Backward Digit Span

print(psych::describeBy(indi.data$backward.span, 
                        group = indi.data$Group))

 Descriptive statistics by group 
group: OA
   vars   n mean   sd median trimmed  mad min max range skew kurtosis   se
X1    1 152 7.64 2.27      8    7.62 2.97   2  13    11 0.04     -0.3 0.18
------------------------------------------------------------ 
group: YA
   vars   n mean   sd median trimmed  mad min max range skew kurtosis   se
X1    1 211 7.32 2.26      7     7.2 1.48   2  14    12 0.52    -0.05 0.16
print(psych::describe(indi.data$backward.span))
   vars   n mean   sd median trimmed  mad min max range skew kurtosis   se
X1    1 363 7.45 2.27      7    7.37 1.48   2  14    12 0.32    -0.21 0.12
t.test(formula = indi.data$backward.span ~ 
         indi.data$Group
       #, paired = FALSE
       )

    Welch Two Sample t-test

data:  indi.data$backward.span by indi.data$Group
t = 1.3562, df = 324.81, p-value = 0.176
alternative hypothesis: true difference in means between group OA and group YA is not equal to 0
95 percent confidence interval:
 -0.1474413  0.8018439
sample estimates:
mean in group OA mean in group YA 
        7.644737         7.317536 
means = indi.data %>%
  dplyr::group_by(Group) %>%
  dplyr::summarise(mean = mean(backward.span, na.rm = TRUE))

ggplot(indi.data, aes(x = backward.span, fill = Group)) + 
  geom_vline(data = means, 
             aes(xintercept = mean, color = Group), 
             linewidth = 2, 
             show.legend = FALSE) +
  geom_density(alpha = 0.7, outline.type = "full") +
  labs(y = "Density")

rm(means)

Letter numbering

print(psych::describeBy(indi.data$letter.numbering, 
                        group = indi.data$Group))

 Descriptive statistics by group 
group: OA
   vars   n  mean   sd median trimmed  mad min max range  skew kurtosis   se
X1    1 152 10.05 2.54     10   10.05 2.97   1  18    17 -0.21     1.27 0.21
------------------------------------------------------------ 
group: YA
   vars   n  mean sd median trimmed  mad min max range  skew kurtosis   se
X1    1 211 10.75  3     11    10.9 2.97   0  19    19 -0.48      0.7 0.21
print(psych::describe(indi.data$letter.numbering))
   vars   n  mean   sd median trimmed  mad min max range  skew kurtosis   se
X1    1 363 10.45 2.83     10   10.53 2.97   0  19    19 -0.34     0.83 0.15
t.test(formula = indi.data$letter.numbering ~ 
         indi.data$Group
       #, paired = FALSE
       )

    Welch Two Sample t-test

data:  indi.data$letter.numbering by indi.data$Group
t = -2.412, df = 351.77, p-value = 0.01638
alternative hypothesis: true difference in means between group OA and group YA is not equal to 0
95 percent confidence interval:
 -1.2757987 -0.1297264
sample estimates:
mean in group OA mean in group YA 
        10.04605         10.74882 
means = indi.data %>%
  dplyr::group_by(Group) %>%
  dplyr::summarise(mean = mean(letter.numbering, na.rm = TRUE))

ggplot(indi.data, aes(x = letter.numbering, fill = Group)) + 
  geom_vline(data = means, 
             aes(xintercept = mean, color = Group), 
             linewidth = 2, 
             show.legend = FALSE) +
  geom_density(alpha = 0.7, outline.type = "full") +
  labs(y = "Density")

rm(means)
ggpairs(indi.data, 
        columns = c("WCST.Persev.Errors", 
                    "Arithmetic",
                    "backward.span",
                    "letter.numbering"), 
        title = "Intercorrelations among Frontal Functioning Indicators", 
        ggplot2::aes(colour = as.character(Group)), 
        columnLabels = c("WCST", "Arithmetic", "BSpan", "Letter")) + 
  theme_classic()

Semantic Discrimination Descriptives

PPVT

print(psych::describeBy(indi.data$PPVT, 
                        group = indi.data$Group))

 Descriptive statistics by group 
group: OA
   vars   n   mean   sd median trimmed  mad min max range  skew kurtosis   se
X1    1 152 219.76 5.72  221.5  220.49 5.19 199 228    29 -1.23     1.39 0.46
------------------------------------------------------------ 
group: YA
   vars   n  mean    sd median trimmed   mad min max range skew kurtosis   se
X1    1 206 195.8 12.81    196  196.46 13.34 142 219    77 -0.6     0.63 0.89
print(psych::describe(indi.data$PPVT))
   vars   n   mean    sd median trimmed   mad min max range  skew kurtosis   se
X1    1 358 205.97 15.77    209  207.26 19.27 142 228    86 -0.67    -0.12 0.83
t.test(formula = indi.data$PPVT ~ 
         indi.data$Group
       #, paired = FALSE
       )

    Welch Two Sample t-test

data:  indi.data$PPVT by indi.data$Group
t = 23.824, df = 300.92, p-value < 2.2e-16
alternative hypothesis: true difference in means between group OA and group YA is not equal to 0
95 percent confidence interval:
 21.97689 25.93433
sample estimates:
mean in group OA mean in group YA 
        219.7566         195.8010 
means = indi.data %>%
  dplyr::group_by(Group) %>%
  dplyr::summarise(mean = mean(PPVT, na.rm = TRUE))

ggplot(indi.data, aes(x = PPVT, fill = Group)) + 
  geom_vline(data = means, 
             aes(xintercept = mean, color = Group), 
             linewidth = 2, 
             show.legend = FALSE) +
  geom_density(alpha = 0.7, outline.type = "full") +
  labs(y = "Density")
Warning: Removed 5 rows containing non-finite outside the scale range
(`stat_density()`).

rm(means)

PPT

print(psych::describeBy(indi.data$PPT, 
                        group = indi.data$Group))

 Descriptive statistics by group 
group: OA
   vars   n  mean   sd median trimmed  mad min max range skew kurtosis   se
X1    1 152 50.27 1.46   50.5   50.43 1.48  45  52     7   -1     0.93 0.12
------------------------------------------------------------ 
group: YA
   vars   n  mean   sd median trimmed  mad min max range  skew kurtosis  se
X1    1 211 47.05 2.87     47   47.26 2.97  35  52    17 -0.85     1.26 0.2
print(psych::describe(indi.data$PPT))
   vars   n mean   sd median trimmed  mad min max range  skew kurtosis   se
X1    1 363 48.4 2.86     49    48.7 2.97  35  52    17 -1.11     1.56 0.15
t.test(formula = indi.data$PPT ~ 
         indi.data$Group
       #, paired = FALSE
       )

    Welch Two Sample t-test

data:  indi.data$PPT by indi.data$Group
t = 13.981, df = 328.85, p-value < 2.2e-16
alternative hypothesis: true difference in means between group OA and group YA is not equal to 0
95 percent confidence interval:
 2.766911 3.673037
sample estimates:
mean in group OA mean in group YA 
        50.26974         47.04976 
means = indi.data %>%
  dplyr::group_by(Group) %>%
  dplyr::summarise(mean = mean(PPT, na.rm = TRUE))

ggplot(indi.data, aes(x = PPT, fill = Group)) + 
  geom_vline(data = means, 
             aes(xintercept = mean, color = Group), 
             linewidth = 2, 
             show.legend = FALSE) +
  geom_density(alpha = 0.7, outline.type = "full") +
  labs(y = "Density")

rm(means)
ggpairs(indi.data, 
        columns = c("PPVT", "PPT"), 
        title = "Intercorrelations among Semantic Discrimination Indicators", 
        ggplot2::aes(colour = as.character(Group))) + 
  theme_classic()

Perceptual Discrimination Descriptives

OOO

# High

print(psych::describeBy(indi.data$OOO.High.Hit.Rate, 
                        group = indi.data$Group))

 Descriptive statistics by group 
group: OA
   vars   n mean   sd median trimmed  mad  min  max range  skew kurtosis   se
X1    1 152 0.54 0.19   0.54    0.55 0.21 0.09 0.97  0.89 -0.17    -0.69 0.02
------------------------------------------------------------ 
group: YA
   vars   n mean   sd median trimmed  mad  min  max range  skew kurtosis   se
X1    1 211 0.63 0.19   0.66    0.64 0.17 0.11 0.97  0.86 -0.52    -0.49 0.01
print(psych::describe(indi.data$OOO.High.Hit))
   vars   n  mean   sd median trimmed  mad min max range  skew kurtosis   se
X1    1 363 20.68 6.72     21   20.96 7.41   3  34    31 -0.35    -0.65 0.35
t.test(formula = indi.data$OOO.High.Hit.Rate ~ 
         indi.data$Group
       #, paired = FALSE
       )

    Welch Two Sample t-test

data:  indi.data$OOO.High.Hit.Rate by indi.data$Group
t = -4.1033, df = 326.9, p-value = 5.148e-05
alternative hypothesis: true difference in means between group OA and group YA is not equal to 0
95 percent confidence interval:
 -0.12124383 -0.04266239
sample estimates:
mean in group OA mean in group YA 
       0.5432331        0.6251862 
means = indi.data %>%
  dplyr::group_by(Group) %>%
  dplyr::summarise(mean = mean(OOO.High.Hit.Rate, na.rm = TRUE))

ggplot(indi.data, aes(x = OOO.High.Hit.Rate, fill = Group)) + 
  geom_vline(data = means, 
             aes(xintercept = mean, color = Group), 
             linewidth = 2, 
             show.legend = FALSE) +
  geom_density(alpha = 0.7, outline.type = "full") +
  labs(y = "Density")

rm(means)

# Color

print(psych::describeBy(indi.data$OOO.Color.Hit.Rate, 
                        group = indi.data$Group))

 Descriptive statistics by group 
group: OA
   vars   n mean   sd median trimmed  mad  min max range  skew kurtosis   se
X1    1 152 0.68 0.19   0.71    0.69 0.26 0.24   1  0.76 -0.22    -0.87 0.02
------------------------------------------------------------ 
group: YA
   vars   n mean   sd median trimmed  mad  min max range  skew kurtosis   se
X1    1 211  0.8 0.16   0.82    0.82 0.17 0.18   1  0.82 -1.22     1.89 0.01
print(psych::describe(indi.data$OOO.Color.Hit))
   vars   n  mean   sd median trimmed  mad min max range  skew kurtosis   se
X1    1 363 12.77 3.09     13   13.07 2.97   3  17    14 -0.75    -0.05 0.16
t.test(formula = indi.data$OOO.Color.Hit.Rate ~ 
         indi.data$Group
       #, paired = FALSE
       )

    Welch Two Sample t-test

data:  indi.data$OOO.Color.Hit.Rate by indi.data$Group
t = -6.2056, df = 283.35, p-value = 1.928e-09
alternative hypothesis: true difference in means between group OA and group YA is not equal to 0
95 percent confidence interval:
 -0.1549277 -0.0803114
sample estimates:
mean in group OA mean in group YA 
       0.6830495        0.8006691 
means = indi.data %>%
  dplyr::group_by(Group) %>%
  dplyr::summarise(mean = mean(OOO.Color.Hit.Rate, na.rm = TRUE))

ggplot(indi.data, aes(x = OOO.Color.Hit.Rate, fill = Group)) + 
  geom_vline(data = means, 
             aes(xintercept = mean, color = Group), 
             linewidth = 2, 
             show.legend = FALSE) +
  geom_density(alpha = 0.7, outline.type = "full") +
  labs(y = "Density")

rm(means)

# Size

print(psych::describeBy(indi.data$OOO.Size.Hit.Rate, 
                        group = indi.data$Group))

 Descriptive statistics by group 
group: OA
   vars   n mean   sd median trimmed  mad  min max range  skew kurtosis   se
X1    1 152 0.63 0.16   0.65    0.63 0.17 0.24   1  0.76 -0.08    -0.51 0.01
------------------------------------------------------------ 
group: YA
   vars   n mean   sd median trimmed  mad  min max range skew kurtosis   se
X1    1 211 0.58 0.21   0.59    0.59 0.26 0.06   1  0.94 -0.1    -0.78 0.01
print(psych::describe(indi.data$OOO.Size.Hit))
   vars   n  mean   sd median trimmed  mad min max range  skew kurtosis   se
X1    1 363 10.22 3.25     11   10.29 2.97   1  17    16 -0.17    -0.56 0.17
t.test(formula = indi.data$OOO.Size.Hit.Rate ~ 
         indi.data$Group
       #, paired = FALSE
       )

    Welch Two Sample t-test

data:  indi.data$OOO.Size.Hit.Rate by indi.data$Group
t = 2.1186, df = 359.06, p-value = 0.03481
alternative hypothesis: true difference in means between group OA and group YA is not equal to 0
95 percent confidence interval:
 0.002957799 0.079492717
sample estimates:
mean in group OA mean in group YA 
       0.6250000        0.5837747 
means = indi.data %>%
  dplyr::group_by(Group) %>%
  dplyr::summarise(mean = mean(OOO.Size.Hit.Rate, na.rm = TRUE))

ggplot(indi.data, aes(x = OOO.Size.Hit.Rate, fill = Group)) + 
  geom_vline(data = means, 
             aes(xintercept = mean, color = Group), 
             linewidth = 2, 
             show.legend = FALSE) +
  geom_density(alpha = 0.7, outline.type = "full") +
  labs(y = "Density")

rm(means)

MVPT

print(psych::describeBy(indi.data$MVPT, 
                        group = indi.data$Group))

 Descriptive statistics by group 
group: OA
   vars   n  mean   sd median trimmed  mad min max range  skew kurtosis  se
X1    1 152 33.78 4.94     34   33.97 5.93  21  43    22 -0.33    -0.28 0.4
------------------------------------------------------------ 
group: YA
   vars   n  mean   sd median trimmed  mad min max range  skew kurtosis   se
X1    1 211 35.62 4.93     37   35.95 5.93  19  44    25 -0.57    -0.21 0.34
print(psych::describe(indi.data$MVPT))
   vars   n  mean   sd median trimmed  mad min max range  skew kurtosis   se
X1    1 363 34.85 5.01     35   35.12 5.93  19  44    25 -0.45     -0.3 0.26
t.test(formula = indi.data$MVPT ~ 
         indi.data$Group
       #, paired = FALSE
       )

    Welch Two Sample t-test

data:  indi.data$MVPT by indi.data$Group
t = -3.503, df = 325.2, p-value = 0.0005245
alternative hypothesis: true difference in means between group OA and group YA is not equal to 0
95 percent confidence interval:
 -2.8730402 -0.8065557
sample estimates:
mean in group OA mean in group YA 
        33.77632         35.61611 
means = indi.data %>%
  dplyr::group_by(Group) %>%
  dplyr::summarise(mean = mean(MVPT, na.rm = TRUE))

ggplot(indi.data, aes(x = MVPT, fill = Group)) + 
  geom_vline(data = means, 
             aes(xintercept = mean, color = Group), 
             linewidth = 2, 
             show.legend = FALSE) +
  geom_density(alpha = 0.7, outline.type = "full") +
  labs(y = "Density")

rm(means)
ggpairs(indi.data, 
        columns = c("OOO.High.Hit.Rate",
                    "OOO.Color.Hit.Rate",
                    "OOO.Size.Hit.Rate",
                    "MVPT"), 
        title = "Intercorrelations among Perceptual Discrimination Indicators", 
        ggplot2::aes(colour = as.character(Group)), 
        columnLabels = c("High", "Color", "Size", "MVPT")) + 
  theme_classic()

Semantic DRM FM Descriptives

Categorical DRM Task

# Total

print(psych::describeBy(indi.data$cat.drm.FA.Total.Rates, 
                        group = indi.data$Group))

 Descriptive statistics by group 
group: OA
   vars   n mean   sd median trimmed  mad min  max range skew kurtosis   se
X1    1 148 0.16 0.11   0.13    0.15 0.08   0 0.56  0.56 1.19     1.25 0.01
------------------------------------------------------------ 
group: YA
   vars   n mean   sd median trimmed  mad min  max range skew kurtosis   se
X1    1 203  0.2 0.14   0.17    0.18 0.14   0 0.65  0.65 1.08     0.72 0.01
print(psych::describe(indi.data$cat.drm.FA.Total.Rates))
   vars   n mean   sd median trimmed  mad min  max range skew kurtosis   se
X1    1 351 0.18 0.13   0.15    0.16 0.11   0 0.65  0.65 1.19     1.17 0.01
t.test(formula = indi.data$cat.drm.FA.Total.Rates ~ 
         indi.data$Group
       #, paired = FALSE
       )

    Welch Two Sample t-test

data:  indi.data$cat.drm.FA.Total.Rates by indi.data$Group
t = -2.7008, df = 346.85, p-value = 0.007257
alternative hypothesis: true difference in means between group OA and group YA is not equal to 0
95 percent confidence interval:
 -0.063546711 -0.009992346
sample estimates:
mean in group OA mean in group YA 
       0.1599099        0.1966794 
means = indi.data %>%
  dplyr::group_by(Group) %>%
  dplyr::summarise(mean = mean(cat.drm.FA.Total.Rates, na.rm = TRUE))

ggplot(indi.data, aes(x = cat.drm.FA.Total.Rates, fill = Group)) + 
  geom_vline(data = means, 
             aes(xintercept = mean, color = Group), 
             linewidth = 2, 
             show.legend = FALSE) +
  geom_density(alpha = 0.7, outline.type = "full") +
  labs(y = "Density")
Warning: Removed 12 rows containing non-finite outside the scale range
(`stat_density()`).

rm(means)

# Related

print(psych::describeBy(indi.data$cat.drm.FA.Related.Rates, 
                        group = indi.data$Group))

 Descriptive statistics by group 
group: OA
   vars   n mean   sd median trimmed  mad min  max range skew kurtosis   se
X1    1 148 0.23 0.16   0.19    0.21 0.12   0 0.72  0.72 1.01     0.56 0.01
------------------------------------------------------------ 
group: YA
   vars   n mean   sd median trimmed  mad min  max range skew kurtosis   se
X1    1 203 0.27 0.19   0.25    0.26 0.16   0 0.81  0.81 0.82     0.02 0.01
print(psych::describe(indi.data$cat.drm.FA.Related.Rates))
   vars   n mean   sd median trimmed  mad min  max range skew kurtosis   se
X1    1 351 0.26 0.18   0.22    0.24 0.16   0 0.81  0.81 0.93      0.3 0.01
t.test(formula = indi.data$cat.drm.FA.Related.Rates ~ 
         indi.data$Group
       #, paired = FALSE
       )

    Welch Two Sample t-test

data:  indi.data$cat.drm.FA.Related.Rates by indi.data$Group
t = -2.2798, df = 340.25, p-value = 0.02324
alternative hypothesis: true difference in means between group OA and group YA is not equal to 0
95 percent confidence interval:
 -0.078236425 -0.005762598
sample estimates:
mean in group OA mean in group YA 
       0.2323574        0.2743569 
means = indi.data %>%
  dplyr::group_by(Group) %>%
  dplyr::summarise(mean = mean(cat.drm.FA.Related.Rates, na.rm = TRUE))

ggplot(indi.data, aes(x = cat.drm.FA.Related.Rates, fill = Group)) + 
  geom_vline(data = means, 
             aes(xintercept = mean, color = Group), 
             linewidth = 2, 
             show.legend = FALSE) +
  geom_density(alpha = 0.7, outline.type = "full") +
  labs(y = "Density")
Warning: Removed 12 rows containing non-finite outside the scale range
(`stat_density()`).

rm(means)

# Unrelated

print(psych::describeBy(indi.data$cat.drm.FA.Unrelated.Rates, 
                        group = indi.data$Group))

 Descriptive statistics by group 
group: OA
   vars   n mean   sd median trimmed mad min  max range skew kurtosis se
X1    1 148 0.02 0.05      0       0   0   0 0.39  0.39 5.12    32.79  0
------------------------------------------------------------ 
group: YA
   vars   n mean   sd median trimmed mad min max range skew kurtosis   se
X1    1 203 0.04 0.09      0    0.02   0   0 0.5   0.5 2.99     9.77 0.01
print(psych::describe(indi.data$cat.drm.FA.Unrelated.Rates))
   vars   n mean   sd median trimmed mad min max range skew kurtosis se
X1    1 351 0.03 0.08      0    0.01   0   0 0.5   0.5 3.65     15.2  0
t.test(formula = indi.data$cat.drm.FA.Unrelated.Rates ~ 
         indi.data$Group
       #, paired = FALSE
       )

    Welch Two Sample t-test

data:  indi.data$cat.drm.FA.Unrelated.Rates by indi.data$Group
t = -3.571, df = 318.96, p-value = 0.0004104
alternative hypothesis: true difference in means between group OA and group YA is not equal to 0
95 percent confidence interval:
 -0.04080470 -0.01181442
sample estimates:
mean in group OA mean in group YA 
      0.01501502       0.04132458 
means = indi.data %>%
  dplyr::group_by(Group) %>%
  dplyr::summarise(mean = mean(cat.drm.FA.Unrelated.Rates, na.rm = TRUE))

ggplot(indi.data, aes(x = cat.drm.FA.Unrelated.Rates, fill = Group)) + 
  geom_vline(data = means, 
             aes(xintercept = mean, color = Group), 
             linewidth = 2, 
             show.legend = FALSE) +
  geom_density(alpha = 0.7, outline.type = "full") +
  labs(y = "Density")
Warning: Removed 12 rows containing non-finite outside the scale range
(`stat_density()`).

rm(means)

Schematic Task

# Total

print(psych::describeBy(indi.data$schematic.FA.Total.Rates, 
                        group = indi.data$Group))

 Descriptive statistics by group 
group: OA
   vars   n mean   sd median trimmed  mad  min  max range skew kurtosis   se
X1    1 101 0.38 0.14   0.35    0.37 0.12 0.08 0.79  0.71 0.44     0.42 0.01
------------------------------------------------------------ 
group: YA
   vars   n mean   sd median trimmed  mad  min  max range skew kurtosis   se
X1    1 152  0.4 0.14    0.4    0.41 0.15 0.04 0.77  0.73 -0.1    -0.27 0.01
print(psych::describe(indi.data$schematic.FA.Total.Rates))
   vars   n mean   sd median trimmed  mad  min  max range skew kurtosis   se
X1    1 253 0.39 0.14    0.4    0.39 0.15 0.04 0.79  0.75 0.12    -0.06 0.01
t.test(formula = indi.data$schematic.FA.Total.Rates ~ 
         indi.data$Group
       #, paired = FALSE
       )

    Welch Two Sample t-test

data:  indi.data$schematic.FA.Total.Rates by indi.data$Group
t = -1.5744, df = 210.38, p-value = 0.1169
alternative hypothesis: true difference in means between group OA and group YA is not equal to 0
95 percent confidence interval:
 -0.062654594  0.007013093
sample estimates:
mean in group OA mean in group YA 
       0.3758251        0.4036458 
means = indi.data %>%
  dplyr::group_by(Group) %>%
  dplyr::summarise(mean = mean(schematic.FA.Total.Rates, na.rm = TRUE))

ggplot(indi.data, aes(x = schematic.FA.Total.Rates, fill = Group)) + 
  geom_vline(data = means, 
             aes(xintercept = mean, color = Group), 
             linewidth = 2, 
             show.legend = FALSE) +
  geom_density(alpha = 0.7, outline.type = "full") +
  labs(y = "Density")
Warning: Removed 110 rows containing non-finite outside the scale range
(`stat_density()`).

rm(means)

# Related

print(psych::describeBy(indi.data$schematic.FA.Related.Rates, 
                        group = indi.data$Group))

 Descriptive statistics by group 
group: OA
   vars   n mean   sd median trimmed  mad  min  max range skew kurtosis   se
X1    1 101  0.5 0.16    0.5     0.5 0.12 0.12 0.96  0.83 0.17    -0.01 0.02
------------------------------------------------------------ 
group: YA
   vars   n mean   sd median trimmed  mad  min  max range  skew kurtosis   se
X1    1 152 0.48 0.15   0.46    0.48 0.19 0.08 0.79  0.71 -0.04    -0.48 0.01
print(psych::describe(indi.data$schematic.FA.Related.Rates))
   vars   n mean   sd median trimmed  mad  min  max range skew kurtosis   se
X1    1 253 0.49 0.15   0.46    0.49 0.19 0.08 0.96  0.87 0.07    -0.18 0.01
t.test(formula = indi.data$schematic.FA.Related.Rates ~ 
         indi.data$Group
       #, paired = FALSE
       )

    Welch Two Sample t-test

data:  indi.data$schematic.FA.Related.Rates by indi.data$Group
t = 1.0483, df = 201.68, p-value = 0.2958
alternative hypothesis: true difference in means between group OA and group YA is not equal to 0
95 percent confidence interval:
 -0.01824422  0.05966119
sample estimates:
mean in group OA mean in group YA 
       0.5037129        0.4830044 
means = indi.data %>%
  dplyr::group_by(Group) %>%
  dplyr::summarise(mean = mean(schematic.FA.Related.Rates, na.rm = TRUE))

ggplot(indi.data, aes(x = schematic.FA.Related.Rates, fill = Group)) + 
  geom_vline(data = means, 
             aes(xintercept = mean, color = Group), 
             linewidth = 2, 
             show.legend = FALSE) +
  geom_density(alpha = 0.7, outline.type = "full") +
  labs(y = "Density")
Warning: Removed 110 rows containing non-finite outside the scale range
(`stat_density()`).

rm(means)

# Unrelated

print(psych::describeBy(indi.data$schematic.FA.Unrelated.Rates, 
                        group = indi.data$Group))

 Descriptive statistics by group 
group: OA
   vars   n mean   sd median trimmed  mad min  max range skew kurtosis   se
X1    1 101 0.25 0.15   0.25    0.24 0.12   0 0.75  0.75 0.62     0.26 0.02
------------------------------------------------------------ 
group: YA
   vars   n mean   sd median trimmed  mad min  max range skew kurtosis   se
X1    1 152 0.32 0.17   0.33    0.32 0.19   0 0.88  0.88 0.29    -0.28 0.01
print(psych::describe(indi.data$schematic.FA.Unrelated.Rates))
   vars   n mean   sd median trimmed  mad min  max range skew kurtosis   se
X1    1 253 0.29 0.17   0.29    0.29 0.19   0 0.88  0.88 0.43    -0.15 0.01
t.test(formula = indi.data$schematic.FA.Unrelated.Rates ~ 
         indi.data$Group
       #, paired = FALSE
       )

    Welch Two Sample t-test

data:  indi.data$schematic.FA.Unrelated.Rates by indi.data$Group
t = -3.7633, df = 229.29, p-value = 0.000213
alternative hypothesis: true difference in means between group OA and group YA is not equal to 0
95 percent confidence interval:
 -0.11632489 -0.03637508
sample estimates:
mean in group OA mean in group YA 
       0.2479373        0.3242873 
means = indi.data %>%
  dplyr::group_by(Group) %>%
  dplyr::summarise(mean = mean(schematic.FA.Unrelated.Rates, na.rm = TRUE))

ggplot(indi.data, aes(x = schematic.FA.Unrelated.Rates, fill = Group)) + 
  geom_vline(data = means, 
             aes(xintercept = mean, color = Group), 
             linewidth = 2, 
             show.legend = FALSE) +
  geom_density(alpha = 0.7, outline.type = "full") +
  labs(y = "Density")
Warning: Removed 110 rows containing non-finite outside the scale range
(`stat_density()`).

rm(means)
ggpairs(indi.data, 
        columns = c("cat.drm.FA.Total.Rates",
                    "cat.drm.FA.Related.Rates",
                    "cat.drm.FA.Unrelated.Rates",
                    "schematic.FA.Total.Rates",
                    "schematic.FA.Related.Rates",
                    "schematic.FA.Unrelated.Rates"), 
        title = "Intercorrelations among Semantic FM Indicators", 
        ggplot2::aes(colour = as.character(Group)),
        columnLabels = c("Sem\nTotal", 
                         "Sem\nRelated", 
                         "Sem\nUnrel.", 
                         "Cat\nTotal", 
                         "Cat\nRelated", 
                         "Cat\nUnrel.")) + 
  theme_classic() + 
  theme(strip.text = element_text(size = 8))

Perceptual FM Descriptives

Object Similarity Task

# Total

print(psych::describeBy(indi.data$object.sim.FA.Total.Rates, 
                        group = indi.data$Group))

 Descriptive statistics by group 
group: OA
   vars   n mean   sd median trimmed  mad  min  max range skew kurtosis   se
X1    1 147 0.26 0.11   0.26    0.26 0.11 0.06 0.57  0.52  0.5    -0.14 0.01
------------------------------------------------------------ 
group: YA
   vars   n mean   sd median trimmed  mad  min  max range skew kurtosis   se
X1    1 205 0.27 0.15   0.26    0.26 0.16 0.02 0.76  0.74 0.53    -0.11 0.01
print(psych::describe(indi.data$object.sim.FA.Total.Rates))
   vars   n mean   sd median trimmed  mad  min  max range skew kurtosis   se
X1    1 352 0.27 0.13   0.26    0.26 0.14 0.02 0.76  0.74 0.55     0.09 0.01
t.test(formula = indi.data$object.sim.FA.Total.Rates ~ 
         indi.data$Group
       #, paired = FALSE
       )

    Welch Two Sample t-test

data:  indi.data$object.sim.FA.Total.Rates by indi.data$Group
t = -0.18335, df = 348.63, p-value = 0.8546
alternative hypothesis: true difference in means between group OA and group YA is not equal to 0
95 percent confidence interval:
 -0.02944532  0.02442347
sample estimates:
mean in group OA mean in group YA 
       0.2637944        0.2663053 
means = indi.data %>%
  dplyr::group_by(Group) %>%
  dplyr::summarise(mean = mean(object.sim.FA.Total.Rates, na.rm = TRUE))

ggplot(indi.data, aes(x = object.sim.FA.Total.Rates, fill = Group)) + 
  geom_vline(data = means, 
             aes(xintercept = mean, color = Group), 
             linewidth = 2, 
             show.legend = FALSE) +
  geom_density(alpha = 0.7, outline.type = "full") +
  labs(y = "Density")
Warning: Removed 11 rows containing non-finite outside the scale range
(`stat_density()`).

rm(means)

# Related

print(psych::describeBy(indi.data$object.sim.FA.Related.Rates, 
                        group = indi.data$Group))

 Descriptive statistics by group 
group: OA
   vars   n mean   sd median trimmed  mad  min  max range skew kurtosis   se
X1    1 147 0.39 0.17   0.39    0.38 0.16 0.08 0.83  0.75 0.51    -0.15 0.01
------------------------------------------------------------ 
group: YA
   vars   n mean  sd median trimmed  mad min  max range skew kurtosis   se
X1    1 205 0.38 0.2   0.39    0.37 0.21   0 0.94  0.94 0.43    -0.33 0.01
print(psych::describe(indi.data$object.sim.FA.Related.Rates))
   vars   n mean   sd median trimmed  mad min  max range skew kurtosis   se
X1    1 352 0.39 0.19   0.39    0.38 0.21   0 0.94  0.94 0.45    -0.18 0.01
t.test(formula = indi.data$object.sim.FA.Related.Rates ~ 
         indi.data$Group
       #, paired = FALSE
       )

    Welch Two Sample t-test

data:  indi.data$object.sim.FA.Related.Rates by indi.data$Group
t = 0.43804, df = 344.56, p-value = 0.6616
alternative hypothesis: true difference in means between group OA and group YA is not equal to 0
95 percent confidence interval:
 -0.03020309  0.04751039
sample estimates:
mean in group OA mean in group YA 
       0.3936130        0.3849593 
means = indi.data %>%
  dplyr::group_by(Group) %>%
  dplyr::summarise(mean = mean(object.sim.FA.Related.Rates, na.rm = TRUE))

ggplot(indi.data, aes(x = object.sim.FA.Related.Rates, fill = Group)) + 
  geom_vline(data = means, 
             aes(xintercept = mean, color = Group), 
             linewidth = 2, 
             show.legend = FALSE) +
  geom_density(alpha = 0.7, outline.type = "full") +
  labs(y = "Density")
Warning: Removed 11 rows containing non-finite outside the scale range
(`stat_density()`).

rm(means)

# Unrelated

print(psych::describeBy(indi.data$object.sim.FA.Unrelated.Rates, 
                        group = indi.data$Group))

 Descriptive statistics by group 
group: OA
   vars   n mean   sd median trimmed mad min  max range skew kurtosis se
X1    1 147    0 0.02      0       0   0   0 0.17  0.17 5.77    40.82  0
------------------------------------------------------------ 
group: YA
   vars   n mean   sd median trimmed mad min  max range skew kurtosis se
X1    1 205 0.03 0.07      0    0.01   0   0 0.44  0.44 3.39    12.76  0
print(psych::describe(indi.data$object.sim.FA.Unrelated.Rates))
   vars   n mean   sd median trimmed mad min  max range skew kurtosis se
X1    1 352 0.02 0.06      0       0   0   0 0.44  0.44 4.39    22.51  0
t.test(formula = indi.data$object.sim.FA.Unrelated.Rates ~ 
         indi.data$Group
       #, paired = FALSE
       )

    Welch Two Sample t-test

data:  indi.data$object.sim.FA.Unrelated.Rates by indi.data$Group
t = -4.8552, df = 242.51, p-value = 2.157e-06
alternative hypothesis: true difference in means between group OA and group YA is not equal to 0
95 percent confidence interval:
 -0.03491798 -0.01476217
sample estimates:
mean in group OA mean in group YA 
     0.004157218      0.028997290 
means = indi.data %>%
  dplyr::group_by(Group) %>%
  dplyr::summarise(mean = mean(object.sim.FA.Unrelated.Rates, na.rm = TRUE))

ggplot(indi.data, aes(x = object.sim.FA.Unrelated.Rates, fill = Group)) + 
  geom_vline(data = means, 
             aes(xintercept = mean, color = Group), 
             linewidth = 2, 
             show.legend = FALSE) +
  geom_density(alpha = 0.7, outline.type = "full") +
  labs(y = "Density")
Warning: Removed 11 rows containing non-finite outside the scale range
(`stat_density()`).

rm(means)

Abstract Images Task

# Total

print(psych::describeBy(indi.data$abstract.img.FA.Total.Rates, 
                        group = indi.data$Group))

 Descriptive statistics by group 
group: OA
   vars   n mean   sd median trimmed  mad  min  max range skew kurtosis   se
X1    1 150 0.45 0.12   0.44    0.44 0.11 0.17 0.76  0.59 0.25     -0.3 0.01
------------------------------------------------------------ 
group: YA
   vars   n mean   sd median trimmed  mad  min  max range skew kurtosis   se
X1    1 201  0.4 0.14   0.41     0.4 0.14 0.11 0.85  0.74 0.15    -0.41 0.01
print(psych::describe(indi.data$abstract.img.FA.Total.Rates))
   vars   n mean   sd median trimmed  mad  min  max range skew kurtosis   se
X1    1 351 0.42 0.13   0.43    0.42 0.14 0.11 0.85  0.74 0.13    -0.31 0.01
t.test(formula = indi.data$abstract.img.FA.Total.Rates ~ 
         indi.data$Group
       #, paired = FALSE
       )

    Welch Two Sample t-test

data:  indi.data$abstract.img.FA.Total.Rates by indi.data$Group
t = 2.9052, df = 339.61, p-value = 0.00391
alternative hypothesis: true difference in means between group OA and group YA is not equal to 0
95 percent confidence interval:
 0.01327164 0.06891741
sample estimates:
mean in group OA mean in group YA 
       0.4451852        0.4040907 
means = indi.data %>%
  dplyr::group_by(Group) %>%
  dplyr::summarise(mean = mean(abstract.img.FA.Total.Rates, na.rm = TRUE))

ggplot(indi.data, aes(x = abstract.img.FA.Total.Rates, fill = Group)) + 
  geom_vline(data = means, 
             aes(xintercept = mean, color = Group), 
             linewidth = 2, 
             show.legend = FALSE) +
  geom_density(alpha = 0.7, outline.type = "full") +
  labs(y = "Density")
Warning: Removed 12 rows containing non-finite outside the scale range
(`stat_density()`).

rm(means)

# Related

print(psych::describeBy(indi.data$abstract.img.FA.Related.Rates, 
                        group = indi.data$Group))

 Descriptive statistics by group 
group: OA
   vars   n mean   sd median trimmed  mad  min  max range skew kurtosis   se
X1    1 150 0.59 0.14   0.58    0.59 0.12 0.22 0.89  0.67 -0.2    -0.37 0.01
------------------------------------------------------------ 
group: YA
   vars   n mean   sd median trimmed  mad  min  max range  skew kurtosis   se
X1    1 201 0.52 0.15   0.53    0.52 0.16 0.17 0.86  0.69 -0.15    -0.44 0.01
print(psych::describe(indi.data$abstract.img.FA.Related.Rates))
   vars   n mean   sd median trimmed  mad  min  max range  skew kurtosis   se
X1    1 351 0.55 0.15   0.56    0.55 0.16 0.17 0.89  0.72 -0.22    -0.35 0.01
t.test(formula = indi.data$abstract.img.FA.Related.Rates ~ 
         indi.data$Group
       #, paired = FALSE
       )

    Welch Two Sample t-test

data:  indi.data$abstract.img.FA.Related.Rates by indi.data$Group
t = 4.3648, df = 337.29, p-value = 1.694e-05
alternative hypothesis: true difference in means between group OA and group YA is not equal to 0
95 percent confidence interval:
 0.03685190 0.09731615
sample estimates:
mean in group OA mean in group YA 
       0.5857407        0.5186567 
means = indi.data %>%
  dplyr::group_by(Group) %>%
  dplyr::summarise(mean = mean(abstract.img.FA.Related.Rates, na.rm = TRUE))

ggplot(indi.data, aes(x = abstract.img.FA.Related.Rates, fill = Group)) + 
  geom_vline(data = means, 
             aes(xintercept = mean, color = Group), 
             linewidth = 2, 
             show.legend = FALSE) +
  geom_density(alpha = 0.7, outline.type = "full") +
  labs(y = "Density")
Warning: Removed 12 rows containing non-finite outside the scale range
(`stat_density()`).

rm(means)

# Unrelated

print(psych::describeBy(indi.data$abstract.img.FA.Unrelated.Rates, 
                        group = indi.data$Group))

 Descriptive statistics by group 
group: OA
   vars   n mean   sd median trimmed  mad min  max range skew kurtosis   se
X1    1 150 0.16 0.15   0.11    0.14 0.08   0 0.72  0.72 1.14     0.95 0.01
------------------------------------------------------------ 
group: YA
   vars   n mean   sd median trimmed  mad min  max range skew kurtosis   se
X1    1 201 0.17 0.16   0.11    0.15 0.16   0 0.83  0.83 1.06     0.84 0.01
print(psych::describe(indi.data$abstract.img.FA.Unrelated.Rates))
   vars   n mean   sd median trimmed  mad min  max range skew kurtosis   se
X1    1 351 0.17 0.15   0.11    0.15 0.16   0 0.83  0.83  1.1     0.95 0.01
t.test(formula = indi.data$abstract.img.FA.Unrelated.Rates ~ 
         indi.data$Group
       #, paired = FALSE
       )

    Welch Two Sample t-test

data:  indi.data$abstract.img.FA.Unrelated.Rates by indi.data$Group
t = -0.66021, df = 335.36, p-value = 0.5096
alternative hypothesis: true difference in means between group OA and group YA is not equal to 0
95 percent confidence interval:
 -0.04331418  0.02154525
sample estimates:
mean in group OA mean in group YA 
       0.1640741        0.1749585 
means = indi.data %>%
  dplyr::group_by(Group) %>%
  dplyr::summarise(mean = mean(abstract.img.FA.Unrelated.Rates, na.rm = TRUE))

ggplot(indi.data, aes(x = abstract.img.FA.Unrelated.Rates, fill = Group)) + 
  geom_vline(data = means, 
             aes(xintercept = mean, color = Group), 
             linewidth = 2, 
             show.legend = FALSE) +
  geom_density(alpha = 0.7, outline.type = "full") +
  labs(y = "Density")
Warning: Removed 12 rows containing non-finite outside the scale range
(`stat_density()`).

rm(means)
ggpairs(indi.data, 
        columns = c("object.sim.FA.Total.Rates",
                    "object.sim.FA.Related.Rates",
                    "object.sim.FA.Unrelated.Rates",
                    "abstract.img.FA.Total.Rates",
                    "abstract.img.FA.Related.Rates",
                    "abstract.img.FA.Unrelated.Rates"), 
        title = "Intercorrelations among Perceptual FM Indicators", 
        ggplot2::aes(colour = as.character(Group)),
        columnLabels = c("Per\nTotal", 
                         "Per\nRelated", 
                         "Per\nUnrel.", 
                         "Nonsem\nTotal", 
                         "Nonsem\nRelated", 
                         "Nonsem\nUnrel.")) + 
  theme_classic() + 
  theme(strip.text = element_text(size = 8))

Memory Test Reliability

Odd-even reliability for related false alarms (Spearman-Brown corrected):

# Categorical DRM

cat.drm.r.data = read.csv("Semantic Memory Test, Item-Level Data.csv")

cat.drm.r.data = filter(cat.drm.r.data, 
                         numeric.id %in% indi.data$numeric.id & 
                           item.type == "RelatedLure")

cat.drm.r.data = select(cat.drm.r.data, 
                         numeric.id, item.type, updated.associative.score)

cat.drm.r.data$trial.number = 
  ave(1:nrow(cat.drm.r.data), 
      cat.drm.r.data$numeric.id, 
      FUN = seq_along)

cat.drm.r.data$FM = as.numeric(case_when(
  cat.drm.r.data$updated.associative.score == "FA" ~ 1,
  TRUE ~ 0
))

cat.drm.r.data$FM.even = case_when(
  cat.drm.r.data$trial.number %% 2 == 0 ~ cat.drm.r.data$FM)

cat.drm.r.data$FM.odd = case_when(
  cat.drm.r.data$trial.number %% 2 == 1 ~ cat.drm.r.data$FM)

cat.drm.r.data = 
  cat.drm.r.data %>%
  dplyr::group_by(numeric.id) %>%
  dplyr::summarize(FM.even = mean(FM.even, na.rm = TRUE),
            FM.odd = mean(FM.odd, na.rm = TRUE))

cat.drm.r = 2*cor(cat.drm.r.data$FM.even, 
                      cat.drm.r.data$FM.odd, 
                      use = 'pairwise')/
  (1 + cor(cat.drm.r.data$FM.even, 
           cat.drm.r.data$FM.odd, 
           use = 'pairwise'))

rm(cat.drm.r.data)

# Schematic

schematic.r.data = read.csv("Categorical Memory Test, Item-Level Data.csv")

schematic.r.data = filter(schematic.r.data, 
                         numeric.id %in% indi.data$numeric.id & 
                           item.type == "LureThematic")

schematic.r.data = select(schematic.r.data, 
                            numeric.id, item.type, 
                            updated.associative.score)

schematic.r.data$trial.number = 
  ave(1:nrow(schematic.r.data), 
      schematic.r.data$numeric.id, 
      FUN = seq_along)

schematic.r.data$FM = as.numeric(case_when(
  schematic.r.data$updated.associative.score == "FA" ~ 1,
  TRUE ~ 0
))

schematic.r.data$FM.even = case_when(
  schematic.r.data$trial.number %% 2 == 0 ~ schematic.r.data$FM)

schematic.r.data$FM.odd = case_when(
  schematic.r.data$trial.number %% 2 == 1 ~ schematic.r.data$FM)

schematic.r.data = 
  schematic.r.data %>%
  dplyr::group_by(numeric.id) %>%
  dplyr::summarize(FM.even = mean(FM.even, na.rm = TRUE),
            FM.odd = mean(FM.odd, na.rm = TRUE))

schematic.r = 2*cor(schematic.r.data$FM.even, 
                      schematic.r.data$FM.odd, 
                      use = 'pairwise')/
  (1 + cor(schematic.r.data$FM.even, 
           schematic.r.data$FM.odd, 
           use = 'pairwise'))

rm(schematic.r.data)

# Object Similarity

object.sim.r.data = read.csv("Perceptual Memory Test, Item-Level Data.csv")

object.sim.r.data = filter(object.sim.r.data, 
                         numeric.id %in% indi.data$numeric.id & 
                           item.type == "RelatedLure")

object.sim.r.data = select(object.sim.r.data, 
                    numeric.id, 
                    item.type, 
                    updated.associative.score)

object.sim.r.data$trial.number = 
  ave(1:nrow(object.sim.r.data), 
      object.sim.r.data$numeric.id, 
      FUN = seq_along)

object.sim.r.data$FM = as.numeric(case_when(
  object.sim.r.data$updated.associative.score == "FA" ~ 1,
  TRUE ~ 0
))

object.sim.r.data$FM.even = case_when(
  object.sim.r.data$trial.number %% 2 == 0 ~ object.sim.r.data$FM)

object.sim.r.data$FM.odd = case_when(
  object.sim.r.data$trial.number %% 2 == 1 ~ object.sim.r.data$FM)

object.sim.r.data = 
  object.sim.r.data %>%
  dplyr::group_by(numeric.id) %>%
  dplyr::summarize(FM.even = mean(FM.even, na.rm = TRUE),
                   FM.odd = mean(FM.odd, na.rm = TRUE))

object.sim.r = 2*cor(object.sim.r.data$FM.even, 
                      object.sim.r.data$FM.odd, 
                      use = 'pairwise')/
  (1 + cor(object.sim.r.data$FM.even, 
           object.sim.r.data$FM.odd, 
           use = 'pairwise'))

rm(object.sim.r.data)

# Abstract Images

abstract.img.r.data = read.csv("Nonsemantic Memory Test, Item-Level Data.csv")

abstract.img.r.data = filter(abstract.img.r.data, 
                         numeric.id %in% indi.data$numeric.id & 
                           item.type == "RelatedLure")

abstract.img.r.data = select(abstract.img.r.data, 
                    numeric.id, 
                    item.type, 
                    updated.associative.score)

abstract.img.r.data$trial.number = 
  ave(1:nrow(abstract.img.r.data), 
      abstract.img.r.data$numeric.id, 
      FUN = seq_along)

abstract.img.r.data$FM = as.numeric(case_when(
  abstract.img.r.data$updated.associative.score == "FA" ~ 1,
  TRUE ~ 0
))

abstract.img.r.data$FM.even = case_when(
  abstract.img.r.data$trial.number %% 2 == 0 ~ abstract.img.r.data$FM)

abstract.img.r.data$FM.odd = case_when(
  abstract.img.r.data$trial.number %% 2 == 1 ~ abstract.img.r.data$FM)

abstract.img.r.data = 
  abstract.img.r.data %>%
  dplyr::group_by(numeric.id) %>%
  dplyr::summarize(FM.even = mean(FM.even, na.rm = TRUE),
                   FM.odd = mean(FM.odd, na.rm = TRUE))

abstract.img.r = 2*cor(abstract.img.r.data$FM.even, 
                      abstract.img.r.data$FM.odd, 
                      use = 'pairwise')/
  (1 + cor(abstract.img.r.data$FM.even, 
           abstract.img.r.data$FM.odd, 
           use = 'pairwise'))

rm(abstract.img.r.data)
Reliability
Categorical DRM 0.901
Schematic 0.613
Object Similarity 0.872
Abstract Images 0.793

Indicator Correlations

Correlations in entire sample:

var.cors = select(indi.data, 
                  WCST.Persev.Errors, Arithmetic, backward.span, letter.numbering,
                  PPVT, PPT, 
                  MVPT, OOO.High.Hit.Rate, OOO.Color.Hit.Rate, OOO.Size.Hit.Rate,
                  cat.drm.FA.Related.Rates, schematic.FA.Related.Rates, 
                  object.sim.FA.Related.Rates, abstract.img.FA.Related.Rates)

var.cors = dplyr::rename(var.cors, 
                         "PBCST-64" = WCST.Persev.Errors, 
                         "Backward Digit Span" = backward.span, 
                         "Letter Numbering" = letter.numbering,
                         "OOO (High)" = OOO.High.Hit.Rate, 
                         "OOO (Color)" = OOO.Color.Hit.Rate, 
                         "OOO (Size)" = OOO.Size.Hit.Rate,
                         "Categorical DRM FM" = cat.drm.FA.Related.Rates,
                         "Schematic FM" = schematic.FA.Related.Rates, 
                         "Object Similarity FM" = object.sim.FA.Related.Rates, 
                         "Abstract Images FM" = abstract.img.FA.Related.Rates)

cor.df = round(cor(var.cors, use = "pairwise"), 2)

p.df = as.data.frame(ggcorrplot::cor_pmat(var.cors, use = "complete.obs"))

labs.function = function(x){
  case_when(x >= 0.05 ~ "",
            x < 0.05 & x >= 0.01 ~ "*",
            x < 0.01 & x >= 0.001 ~ "**",
            x < 0.001 ~ "***")
}

p.labs = p.df  %>%                      
  mutate_all(labs.function)

p.labs$Var1 = as.factor(rownames(p.labs))

p.labs = melt(p.labs, id.vars = "Var1", variable.name = "Var2", value.name = "lab")

cor.plot = ggcorrplot(cor.df, 
                      hc.order = FALSE, 
                      type = "lower",
                      lab = TRUE, 
                      colors = c("#BB4444", "#FFFFFF", "#4477AA"), 
                      legend.title = "Correlation", 
                      lab_col = "black",
                      lab_size = 2.3,
                      tl.col = "black",
                      tl.cex = 9,
                      tl.srt = 90, 
                      outline.color = "black")

p.labs$in.df = ifelse(is.na(match(paste0(p.labs$Var1, p.labs$Var2), 
                            paste0(cor.plot[["data"]]$Var1, cor.plot[["data"]]$Var2))),
                "No", "Yes")

p.labs = select(filter(p.labs, in.df == "Yes"), -in.df)

cor.plot = cor.plot + 
  geom_text(aes(x = p.labs$Var1, 
                y = p.labs$Var2), 
            label = p.labs$lab, 
            nudge_y = 0.25, 
            size = 3)

ggsave("Correlation Plot (All).png", cor.plot, 
       width = 6.5, height = 6, units = "in",
       dpi = 600, bg = "white")

cor.plot

Correlations in YAs:

var.cors = select(filter(indi.data, Group == "YA"), 
                  WCST.Persev.Errors, Arithmetic, backward.span, letter.numbering,
                  PPVT, PPT, 
                  MVPT, OOO.High.Hit.Rate, OOO.Color.Hit.Rate, OOO.Size.Hit.Rate,
                  cat.drm.FA.Related.Rates, schematic.FA.Related.Rates, 
                  object.sim.FA.Related.Rates, abstract.img.FA.Related.Rates)

var.cors = dplyr::rename(var.cors, 
                         "PBCST-64" = WCST.Persev.Errors, 
                         "Backward Digit Span" = backward.span, 
                         "Letter Numbering" = letter.numbering,
                         "OOO (High)" = OOO.High.Hit.Rate, 
                         "OOO (Color)" = OOO.Color.Hit.Rate, 
                         "OOO (Size)" = OOO.Size.Hit.Rate,
                         "Categorical DRM FM" = cat.drm.FA.Related.Rates,
                         "Schematic FM" = schematic.FA.Related.Rates, 
                         "Object Similarity FM" = object.sim.FA.Related.Rates, 
                         "Abstract Images FM" = abstract.img.FA.Related.Rates)

cor.df = round(cor(var.cors, use = "pairwise"), 2)

p.df = as.data.frame(ggcorrplot::cor_pmat(var.cors, use = "complete.obs"))

labs.function = function(x){
  case_when(x >= 0.05 ~ "",
            x < 0.05 & x >= 0.01 ~ "*",
            x < 0.01 & x >= 0.001 ~ "**",
            x < 0.001 ~ "***")
}

p.labs = p.df  %>%                      
  mutate_all(labs.function)

p.labs$Var1 = as.factor(rownames(p.labs))

p.labs = melt(p.labs, id.vars = "Var1", variable.name = "Var2", value.name = "lab")

cor.plot.ya = ggcorrplot(cor.df, 
                      hc.order = FALSE, 
                      type = "lower",
                      lab = TRUE, 
                      colors = c("#BB4444", "#FFFFFF", "#4477AA"), 
                      legend.title = "Correlation", 
                      lab_col = "black",
                      lab_size = 2.3,
                      tl.col = "black",
                      tl.cex = 9,
                      tl.srt = 90, 
                      outline.color = "black")

p.labs$in.df = ifelse(is.na(match(paste0(p.labs$Var1, p.labs$Var2), 
                            paste0(cor.plot.ya[["data"]]$Var1, cor.plot.ya[["data"]]$Var2))),
                "No", "Yes")

p.labs = select(filter(p.labs, in.df == "Yes"), -in.df)

cor.plot.ya = cor.plot.ya + 
  geom_text(aes(x = p.labs$Var1, 
                y = p.labs$Var2), 
            label = p.labs$lab, 
            nudge_y = 0.25, 
            size = 3)

ggsave("Correlation Plot (YA).png", cor.plot.ya, 
       width = 6.5, height = 6, units = "in",
       dpi = 600, bg = "white")

cor.plot.ya

Correlations in OAs:

var.cors = select(filter(indi.data, Group == "OA"), 
                  WCST.Persev.Errors, Arithmetic, backward.span, letter.numbering,
                  PPVT, PPT, 
                  MVPT, OOO.High.Hit.Rate, OOO.Color.Hit.Rate, OOO.Size.Hit.Rate,
                  cat.drm.FA.Related.Rates, schematic.FA.Related.Rates, 
                  object.sim.FA.Related.Rates, abstract.img.FA.Related.Rates)

var.cors = dplyr::rename(var.cors, 
                         "PBCST-64" = WCST.Persev.Errors, 
                         "Backward Digit Span" = backward.span, 
                         "Letter Numbering" = letter.numbering,
                         "OOO (High)" = OOO.High.Hit.Rate, 
                         "OOO (Color)" = OOO.Color.Hit.Rate, 
                         "OOO (Size)" = OOO.Size.Hit.Rate,
                         "Categorical DRM FM" = cat.drm.FA.Related.Rates,
                         "Schematic FM" = schematic.FA.Related.Rates, 
                         "Object Similarity FM" = object.sim.FA.Related.Rates, 
                         "Abstract Images FM" = abstract.img.FA.Related.Rates)

cor.df = round(cor(var.cors, use = "pairwise"), 2)

p.df = as.data.frame(ggcorrplot::cor_pmat(var.cors, use = "complete.obs"))

labs.function = function(x){
  case_when(x >= 0.05 ~ "",
            x < 0.05 & x >= 0.01 ~ "*",
            x < 0.01 & x >= 0.001 ~ "**",
            x < 0.001 ~ "***")
}

p.labs = p.df  %>%                      
  mutate_all(labs.function)

p.labs$Var1 = as.factor(rownames(p.labs))

p.labs = melt(p.labs, id.vars = "Var1", variable.name = "Var2", value.name = "lab")

cor.plot.oa = ggcorrplot(cor.df, 
                      hc.order = FALSE, 
                      type = "lower",
                      lab = TRUE, 
                      colors = c("#BB4444", "#FFFFFF", "#4477AA"), 
                      legend.title = "Correlation", 
                      lab_col = "black",
                      lab_size = 2.3,
                      tl.col = "black",
                      tl.cex = 9,
                      tl.srt = 90, 
                      outline.color = "black")

p.labs$in.df = ifelse(is.na(match(paste0(p.labs$Var1, p.labs$Var2), 
                            paste0(cor.plot.oa[["data"]]$Var1, cor.plot.oa[["data"]]$Var2))),
                "No", "Yes")

p.labs = select(filter(p.labs, in.df == "Yes"), -in.df)

cor.plot.oa = cor.plot.oa + 
  geom_text(aes(x = p.labs$Var1, 
                y = p.labs$Var2), 
            label = p.labs$lab, 
            nudge_y = 0.25, 
            size = 3)

ggsave("Correlation Plot (OA).png", cor.plot.oa, 
       width = 6.5, height = 6, units = "in",
       dpi = 600, bg = "white")

cor.plot.oa

Testing for age differences in indicator intercorrelations

tasks = c("WCST.Persev.Errors", "Arithmetic", "backward.span", "letter.numbering",
          "PPVT", "PPT", 
          "MVPT", "OOO.High.Hit.Rate", 
          "OOO.Color.Hit.Rate", "OOO.Size.Hit.Rate",
          "cat.drm.FA.Related.Rates", "schematic.FA.Related.Rates", 
          "object.sim.FA.Related.Rates", "abstract.img.FA.Related.Rates")

# Getting vectors of the 91 pairwise correlations for each age group

oa.var.cors = select(filter(indi.data, Group == "OA"), tasks)
Warning: Using an external vector in selections was deprecated in tidyselect 1.1.0.
ℹ Please use `all_of()` or `any_of()` instead.
  # Was:
  data %>% select(tasks)

  # Now:
  data %>% select(all_of(tasks))

See <https://tidyselect.r-lib.org/reference/faq-external-vector.html>.
oa.r.df = as.data.frame(corr.test(oa.var.cors)$r)

oa.r = oa.r.df[lower.tri(oa.r.df, diag = FALSE)]

oa.n = corr.test(oa.var.cors)$n

oa.n = oa.n[lower.tri(oa.n, diag = FALSE)]

ya.var.cors = select(filter(indi.data, Group == "YA"), tasks)

ya.r.df = as.data.frame(corr.test(ya.var.cors)$r)

ya.r = ya.r.df[lower.tri(ya.r.df, diag = FALSE)]

ya.n = corr.test(ya.var.cors)$n

ya.n = ya.n[lower.tri(ya.n, diag = FALSE)]


oa.ya.p = numeric()

oa.ya.z = numeric()

# Pairwise correlation tests between OAs and YAs

for (r in 1:91) {
  r1 = oa.r[r]
  r2 = ya.r[r]
  z1 = fisherz(r1)
  z2 = fisherz(r2)
  n1 = oa.n[r]
  n2 = ya.n[r]
  z.comp = (z1 - z2)/sqrt((1/(n1 - 3))+(1/(n2 + 3)))
  p = pnorm(q = abs(z.comp), lower.tail = FALSE)*2
  print(p)
  oa.ya.p[r] = p
  oa.ya.z[r] = z.comp
}

# Save the p-values in a matrix

oa.ya.p.mat = matrix(ncol = 14, nrow = 14)

oa.ya.p.mat[lower.tri(oa.ya.p.mat, diag = FALSE)] =
  printnum(oa.ya.p, digits = 3)

oa.ya.p.mat[upper.tri(oa.ya.p.mat, diag = FALSE)] = ''

diag(oa.ya.p.mat) = '-'

oa.ya.p.mat = data.frame(oa.ya.p.mat)

rownames(oa.ya.p.mat) = paste0(seq(1, 14), '. ', tasks)

colnames(oa.ya.p.mat) = paste0(seq(1, 14), '.')

# Matrix w/ p < 0.05 only

oa.ya.sig.mat = matrix(ncol = 14, nrow = 14)

oa.ya.sig = case_when(
  oa.ya.p < 0.05 ~ oa.ya.p,
  TRUE ~ NA_real_
)

oa.ya.sig.mat[lower.tri(oa.ya.sig.mat, diag = FALSE)] =
  printnum(oa.ya.sig, 
           digits = 3)

oa.ya.sig.mat[upper.tri(oa.ya.sig.mat, diag = FALSE)] = ''

diag(oa.ya.sig.mat) = '----'

oa.ya.sig.mat = data.frame(oa.ya.sig.mat)

oa.ya.sig.mat =  data.frame(lapply(oa.ya.sig.mat, function(x) {
                  gsub("NA", "-----", x)
              }))

rownames(oa.ya.sig.mat) = paste0(seq(1, 14), '. ', tasks)

colnames(oa.ya.sig.mat) = paste0(seq(1, 14), '.')

P-values for age differences in correlations are presented in the matrices below. The following 11 correlations were significantly different between OAs and YAs at p < 0.05:

  • MVPT with PPT: Correlation stronger in YAs; 0.174 vs 0.453
  • OOO-Color with WCST: Correlation stronger in YAs; 0.032 vs -0.267
  • OOO-Color with MVPT: Correlation stronger in YAs; 0.15 vs 0.462
  • OOO-Color with OOO-High: Correlation stronger in YAs; 0.302 vs 0.497
  • OOO-High with PPT: Correlation stronger in YAs; 0.076 vs 0.308
  • OOO-High with MVPT: Correlation stronger in YAs; 0.388 vs 0.565
  • OOO-Size with Backward Span: Correlation stronger in YAs; 0.071 vs 0.328
  • Object Similarity FM FM with PPT: Correlation stronger in YAs; -0.025 vs -0.311
  • Abstract Images FM with PPT: Correlation stronger in YAs; 0.069 vs -0.249
  • Object Similarity FM with Categorical DRM FM: Correlation stronger in YAs; 0.457 vs 0.626
  • Abstract Images FM with Categorical DRM FM: Correlation stronger in YAs; 0.2 vs 0.407

However, none of these survive a Bonferroni cutoffs of p > 0.05/91.

oa.ya.p.mat
                                     1.    2.    3.    4.    5.    6.    7.
1. WCST.Persev.Errors                 -                                    
2. Arithmetic                     0.705     -                              
3. backward.span                  0.904 0.079     -                        
4. letter.numbering               0.068 0.806 0.273     -                  
5. PPVT                           0.667 0.241 0.152 0.184     -            
6. PPT                            0.748 0.990 0.990 0.987 0.090     -      
7. MVPT                           0.329 0.420 0.213 0.657 0.662 0.003     -
8. OOO.High.Hit.Rate              0.493 0.758 0.094 0.551 0.736 0.023 0.031
9. OOO.Color.Hit.Rate             0.005 0.084 0.082 0.163 0.155 0.082 0.001
10. OOO.Size.Hit.Rate             0.912 0.728 0.011 0.960 0.331 0.879 0.697
11. cat.drm.FA.Related.Rates      0.248 0.225 0.861 0.621 0.597 0.114 0.231
12. schematic.FA.Related.Rates    0.668 0.469 0.751 0.055 0.237 0.485 0.218
13. object.sim.FA.Related.Rates   0.694 0.963 0.748 0.518 0.676 0.006 0.166
14. abstract.img.FA.Related.Rates 0.238 0.507 0.625 0.945 0.212 0.003 0.139
                                     8.    9.   10.   11.   12.   13. 14.
1. WCST.Persev.Errors                                                    
2. Arithmetic                                                            
3. backward.span                                                         
4. letter.numbering                                                      
5. PPVT                                                                  
6. PPT                                                                   
7. MVPT                                                                  
8. OOO.High.Hit.Rate                  -                                  
9. OOO.Color.Hit.Rate             0.028     -                            
10. OOO.Size.Hit.Rate             0.056 0.284     -                      
11. cat.drm.FA.Related.Rates      0.399 0.724 0.148     -                
12. schematic.FA.Related.Rates    0.929 0.336 0.246 0.181     -          
13. object.sim.FA.Related.Rates   0.643 0.959 0.638 0.028 0.760     -    
14. abstract.img.FA.Related.Rates 0.639 0.973 0.670 0.036 0.076 0.245   -
oa.ya.sig.mat
                                     1.    2.    3.    4.    5.    6.    7.
1. WCST.Persev.Errors              ----                                    
2. Arithmetic                     -----  ----                              
3. backward.span                  ----- -----  ----                        
4. letter.numbering               ----- ----- -----  ----                  
5. PPVT                           ----- ----- ----- -----  ----            
6. PPT                            ----- ----- ----- ----- -----  ----      
7. MVPT                           ----- ----- ----- ----- ----- 0.003  ----
8. OOO.High.Hit.Rate              ----- ----- ----- ----- ----- 0.023 0.031
9. OOO.Color.Hit.Rate             0.005 ----- ----- ----- ----- ----- 0.001
10. OOO.Size.Hit.Rate             ----- ----- 0.011 ----- ----- ----- -----
11. cat.drm.FA.Related.Rates      ----- ----- ----- ----- ----- ----- -----
12. schematic.FA.Related.Rates    ----- ----- ----- ----- ----- ----- -----
13. object.sim.FA.Related.Rates   ----- ----- ----- ----- ----- 0.006 -----
14. abstract.img.FA.Related.Rates ----- ----- ----- ----- ----- 0.003 -----
                                     8.    9.   10.   11.   12.   13.  14.
1. WCST.Persev.Errors                                                     
2. Arithmetic                                                             
3. backward.span                                                          
4. letter.numbering                                                       
5. PPVT                                                                   
6. PPT                                                                    
7. MVPT                                                                   
8. OOO.High.Hit.Rate               ----                                   
9. OOO.Color.Hit.Rate             0.028  ----                             
10. OOO.Size.Hit.Rate             ----- -----  ----                       
11. cat.drm.FA.Related.Rates      ----- ----- -----  ----                 
12. schematic.FA.Related.Rates    ----- ----- ----- -----  ----           
13. object.sim.FA.Related.Rates   ----- ----- ----- 0.028 -----  ----     
14. abstract.img.FA.Related.Rates ----- ----- ----- 0.036 ----- ----- ----