cat("\014")     # clean terminal

rm(list = ls()) # clean workspace
try(dev.off(), silent = TRUE) # close all plots
library(tidyverse)
library(afex)
library(lmerTest)
library(emmeans)
library(GGally)
library(easystats)
theme_set(
  theme_minimal()
)

a_posteriori <- function(afex_aov, sig_level = .05) {
  factors  <- as.list(rownames(afex_aov$anova_table))
  for (j in 1:length(factors)) {
    if (grepl(":", factors[[j]])) {
      factors[[j]] <- unlist(strsplit(factors[[j]], ":"))
    }
  }
  p_values <- afex_aov$anova_table$`Pr(>F)`
  for (i in 1:length(p_values)) {
    if (p_values[i] <= sig_level) {
      cat(rep("_", 80), '\n', sep = "")
      print(emmeans(afex_aov, factors[[i]], contr = "pairwise"))
    } else {
      print(emmeans(afex_aov, factors[[i]]))
    }
  }
}

a_posteriori_lmer <- function(lmer_obj, sig_level = .05) {
  anova_lmer <- anova(lmer_obj)
  factors  <- as.list(row.names(anova_lmer))
  for (j in 1:length(factors)) {
    if (grepl(':', factors[[j]])) {
      factors[[j]] <- unlist(strsplit(factors[[j]], ':'))
    }
  }
  p_values <- anova_lmer$`Pr(>F)`
  for (i in 1:length(p_values)) {
    if (p_values[i] <= sig_level) {
      cat(rep('_', 60), '\n', sep = '')
      print(emmeans(lmer_obj, factors[[i]], contr = 'pairwise'))
    }
  }
}
# master_dir                 <- '/home/alvaro/Insync/Drive/00LABWORKS_drive/Huepe/Fdcyt_2017/resting_huepe'
# data_dir                   <- paste(master_dir, 'FAA_results',  sep = '/')
# alpha_power_data_name      <- paste(data_dir, 'foof_data_2_to_48_Hz.csv', sep='/')
alpha_power_data           <- read.table('foof_data_2_to_48_Hz.csv', header = TRUE, strip.white = TRUE, sep = ",")
alpha_power_data$Dataset   <- factor(alpha_power_data$Dataset)
alpha_power_data$Electrode <- factor(alpha_power_data$Electrode)
alpha_power_data$Subject   <- factor(alpha_power_data$Subject)
alpha_power_data$hemisphere[alpha_power_data$Electrode %in% c('E093-Fp1',  'E092-AF3a',  'E094-AF7',  'E089-F1a',  'E100-F3a',  'E101-F5a',  'E103-F7',  'E088-FC1a')] <- 'Left'
alpha_power_data$hemisphere[alpha_power_data$Electrode %in% c('E080-Fp2',  'E079-AF4a',  'E072-AF8',  'E076-F2a',  'E068-F4a',  'E069-F6a',  'E071-F8',  'E075-FC2a')] <- 'Right'
alpha_power_data$hemisphere <- factor(alpha_power_data$hemisphere)
alpha_power_data$electrode_pair[alpha_power_data$Electrode %in% c('E093-Fp1' , 'E080-Fp2')]  <- 'Fp1-Fp2'
alpha_power_data$electrode_pair[alpha_power_data$Electrode %in% c('E092-AF3a', 'E079-AF4a')] <- 'AF3-AF4'
alpha_power_data$electrode_pair[alpha_power_data$Electrode %in% c('E094-AF7' , 'E072-AF8')]  <- 'AF7-AF8'
alpha_power_data$electrode_pair[alpha_power_data$Electrode %in% c('E089-F1a' , 'E076-F2a')]  <- 'F1-F2'
alpha_power_data$electrode_pair[alpha_power_data$Electrode %in% c('E100-F3a' , 'E068-F4a')]  <- 'F3-F4'
alpha_power_data$electrode_pair[alpha_power_data$Electrode %in% c('E101-F5a' , 'E069-F6a')]  <- 'F5-F6'
alpha_power_data$electrode_pair[alpha_power_data$Electrode %in% c('E103-F7'  , 'E071-F8')]   <- 'F7-F8'
alpha_power_data$electrode_pair[alpha_power_data$Electrode %in% c('E088-FC1a', 'E075-FC2a')] <- 'FC1-FC2'
alpha_power_data$electrode_pair <- factor(alpha_power_data$electrode_pair, levels = c('Fp1-Fp2', 'AF3-AF4', 'AF7-AF8', 'F1-F2', 'F3-F4','F5-F6', 'F7-F8', 'FC1-FC2'))
group_id   <- read.table("/home/alvaro/Insync/Drive/00EEG/Proyectos/Huepe/fdcyt_2017/Registro-Evaluaciones-FDCYT-DH-2017 - General ANONIMO.csv",
                         sep = ",", header = TRUE, col.names = c("full.id", "Subject", "Sex", "Group", "Stress"))
group_id$Sex           <- factor(group_id$Sex)
group_id$Group         <- factor(group_id$Group)
levels(group_id$Sex)   <- list(female = "F", male = "M")
levels(group_id$Group) <- list(Control = "CN", "low-SES" = "EX")
group_id               <- group_id[c('Subject', 'Group', 'Sex')]
alpha_power_data       <- merge(alpha_power_data, group_id, by = 'Subject')
write.csv(alpha_power_data,  'alpha_power_data_clean.csv',  row.names = FALSE)
asymmetry_Fp2_Fp1 <- c()
asymmetry_AF4_AF3 <- c()
asymmetry_AF8_AF7 <- c()
asymmetry_F2_F1   <- c()
asymmetry_F4_F3   <- c()
asymmetry_F6_F5   <- c()
asymmetry_F8_F7   <- c()
asymmetry_FC2_FC1 <- c()
Subject <- unique(alpha_power_data$Subject)
for (subj in Subject) {
  subject_data <- subset(alpha_power_data, Subject == subj)
  asymmetry_Fp2_Fp1 <- c(asymmetry_Fp2_Fp1, subject_data[which(subject_data$Electrode == 'E080-Fp2') , 5] - subject_data[which(subject_data$Electrode=='E093-Fp1') , 5])
  asymmetry_AF4_AF3 <- c(asymmetry_AF4_AF3, subject_data[which(subject_data$Electrode == 'E079-AF4a'), 5] - subject_data[which(subject_data$Electrode=='E092-AF3a'), 5])
  asymmetry_AF8_AF7 <- c(asymmetry_AF8_AF7, subject_data[which(subject_data$Electrode == 'E072-AF8') , 5] - subject_data[which(subject_data$Electrode=='E094-AF7') , 5])
  asymmetry_F2_F1   <- c(asymmetry_F2_F1  , subject_data[which(subject_data$Electrode == 'E076-F2a') , 5] - subject_data[which(subject_data$Electrode=='E089-F1a') , 5])
  asymmetry_F4_F3   <- c(asymmetry_F4_F3  , subject_data[which(subject_data$Electrode == 'E068-F4a') , 5] - subject_data[which(subject_data$Electrode=='E100-F3a') , 5])
  asymmetry_F6_F5   <- c(asymmetry_F6_F5  , subject_data[which(subject_data$Electrode == 'E069-F6a') , 5] - subject_data[which(subject_data$Electrode=='E101-F5a') , 5])
  asymmetry_F8_F7   <- c(asymmetry_F8_F7  , subject_data[which(subject_data$Electrode == 'E071-F8')  , 5] - subject_data[which(subject_data$Electrode=='E103-F7')  , 5])
  asymmetry_FC2_FC1 <- c(asymmetry_FC2_FC1, subject_data[which(subject_data$Electrode == 'E075-FC2a'), 5] - subject_data[which(subject_data$Electrode=='E088-FC1a'), 5])
}
alpha_asymmetry_data <- data.frame(Subject, asymmetry_Fp2_Fp1, asymmetry_AF4_AF3, asymmetry_AF8_AF7, asymmetry_F2_F1, asymmetry_F4_F3, asymmetry_F6_F5, asymmetry_F8_F7, asymmetry_FC2_FC1)
alpha_asymmetry_data <- merge(alpha_asymmetry_data, group_id, by = 'Subject')
alpha_asymmetry_data_long <- pivot_longer(alpha_asymmetry_data,
                                          cols         = asymmetry_Fp2_Fp1:asymmetry_FC2_FC1, 
                                          names_to     = 'Electrodes' , 
                                          names_prefix = 'asymmetry_', 
                                          names_ptypes = factor(),
                                          values_to    = 'Asimmetry')
write.csv(alpha_asymmetry_data     , 'alpha_asymmetry_data_clean.csv'     , row.names = FALSE)
write.csv(alpha_asymmetry_data_long, 'alpha_asymmetry_data_clean_long.csv', row.names = FALSE)

1 Spectral decomposition

options(width = 100)
mytable <- xtabs(~ Group + Sex, data = alpha_asymmetry_data)
ftable(addmargins(mytable))
        Sex female male Sum
Group                      
Control         19   20  39
low-SES         24   14  38
Sum             43   34  77
  • Infinity Reference or Reference Electrode Standardization Technique (REST).
    Dong, L., Li, F., Liu, Q., Wen, X., Lai, Y., Xu, P., & Yao, D. (2017). MATLAB Toolboxes for Reference Electrode Standardization Technique (REST) of Scalp EEG. Frontiers in Neuroscience, 11(OCT), 601. https://doi.org/10.3389/fnins.2017.00601
  • 120 consecutive segments, 5 seconds each.
  • PSD computed with Welch’s method.

1.1 Scalp Map, mean power 9-11 Hz

1.2 PSD topography, 1 to 55 Hz, grand average

1.3 PSD topography, 4 to 30 Hz, grand average

1.4 Frontal Electrodes, 4 to 30 Hz, grand average

  • 1 standard error bands Frontal electrodes

2 Parameterization of neural power spectra

  • Each individual PSD is regarded as a combination of an aperiodic component, characterized by an offset and a slope, and putative periodic oscillatory peaks:

  • The process goes like this…

    • Power Spectrum P Fit: \[P = L + \sum_{n=0}^N G_n\]

    • Where: \[L = aperiodic\ signal\] \[G_n = Gaussian\ fit\ to\ a\ peak\] \[N = total\ peaks\ extracted\]

    • Aperiodic (background) Fit L: \[L = b - \log_{10}(k + F^\chi)\]

    • Where: \[b = broadband\ offset\] \[k = ``knee"\ parameter\] \[F = vector\ of\ frequencies\] \[\chi = aperiodic\ slope\]

Donoghue, T., Haller, M., Peterson, E. J., Varma, P., Sebastian, P., Gao, R., Noto, T., Lara, A. H., Wallis, J. D., Knight, R. T., Shestyuk, A., & Voytek, B. (2020). Parameterizing neural power spectra into periodic and aperiodic components. Nature Neuroscience, 23(12), 1655–1665. https://doi.org/10.1038/s41593-020-00744-x

2.1 Individual Electrodes

2.2 Entire Subject

3 General Asymmetry Description

options(width = 100)
summary(alpha_asymmetry_data)
    Subject   asymmetry_Fp2_Fp1   asymmetry_AF4_AF3   asymmetry_AF8_AF7   asymmetry_F2_F1   
 1      : 1   Min.   :-0.626665   Min.   :-0.412796   Min.   :-0.437897   Min.   :-0.21493  
 2      : 1   1st Qu.:-0.075688   1st Qu.:-0.093804   1st Qu.:-0.106656   1st Qu.:-0.02792  
 4      : 1   Median : 0.015353   Median : 0.006818   Median :-0.001352   Median : 0.02084  
 5      : 1   Mean   :-0.005934   Mean   :-0.009114   Mean   :-0.006438   Mean   : 0.02021  
 6      : 1   3rd Qu.: 0.068792   3rd Qu.: 0.069743   3rd Qu.: 0.096106   3rd Qu.: 0.04983  
 7      : 1   Max.   : 0.347914   Max.   : 0.380950   Max.   : 0.498119   Max.   : 0.20971  
 (Other):71   NA's   :17          NA's   :15          NA's   :14          NA's   :6         
 asymmetry_F4_F3     asymmetry_F6_F5     asymmetry_F8_F7    asymmetry_FC2_FC1      Group   
 Min.   :-0.240622   Min.   :-0.393810   Min.   :-0.51034   Min.   :-0.20251   Control:39  
 1st Qu.:-0.078740   1st Qu.:-0.095586   1st Qu.:-0.14622   1st Qu.:-0.02829   low-SES:38  
 Median : 0.005338   Median :-0.000607   Median :-0.02253   Median : 0.01477               
 Mean   :-0.002026   Mean   :-0.028220   Mean   :-0.05082   Mean   : 0.01972               
 3rd Qu.: 0.072646   3rd Qu.: 0.065410   3rd Qu.: 0.03538   3rd Qu.: 0.05133               
 Max.   : 0.267287   Max.   : 0.268483   Max.   : 0.26139   Max.   : 0.48270               
 NA's   :10          NA's   :12          NA's   :17         NA's   :5                      
     Sex    
 female:43  
 male  :34  
            
            
            
            
            
asymmetry_pairs <- c('asymmetry_Fp2_Fp1', 'asymmetry_AF4_AF3', 'asymmetry_AF8_AF7', 'asymmetry_F2_F1', 'asymmetry_F4_F3', 'asymmetry_F6_F5', 'asymmetry_F8_F7', 'asymmetry_FC2_FC1')
asymmetry_pairs_pairs <- ggpairs(alpha_asymmetry_data,
                       columns = asymmetry_pairs,
                       aes(colour = Group, alpha = .25),
                       progress = FALSE,
                       lower = list(continuous = wrap("points")))
suppressWarnings(print(asymmetry_pairs_pairs))

4 Alpha Asymmetry = peak_power(right) - peak_power(left)

4.1 Mixed Model

options(width = 100)
summary(alpha_asymmetry_data_long)
    Subject        Group         Sex        Electrodes    Asimmetry        
 1      :  8   Control:312   female:344   Fp2_Fp1: 77   Min.   :-0.626665  
 2      :  8   low-SES:304   male  :272   AF4_AF3: 77   1st Qu.:-0.072283  
 4      :  8                              AF8_AF7: 77   Median : 0.006624  
 5      :  8                              F2_F1  : 77   Mean   :-0.006713  
 6      :  8                              F4_F3  : 77   3rd Qu.: 0.065228  
 7      :  8                              F6_F5  : 77   Max.   : 0.498119  
 (Other):568                              (Other):154   NA's   :96         
alpha_asymmetry_lmer = lmer(Asimmetry ~ Group*Sex + (1|Subject)  + (1|Electrodes), alpha_asymmetry_data_long)
afex_plot(
    alpha_asymmetry_lmer,
    x     = "Group",
    trace = "Sex",
    id    = "Subject",
    error_arg = list(width = .1),
    dodge = .3,
    data_arg  = list(
      position = 
        position_jitterdodge(
          jitter.width = .1, 
          dodge.width  = .3  ## needs to be same as dodge
        )),
    mapping = c("color"),
    point_arg = list(size = 4)
  )

summary(alpha_asymmetry_lmer)
Linear mixed model fit by REML. t-tests use Satterthwaite's method ['lmerModLmerTest']
Formula: Asimmetry ~ Group * Sex + (1 | Subject) + (1 | Electrodes)
   Data: alpha_asymmetry_data_long

REML criterion at convergence: -690.4

Scaled residuals: 
    Min      1Q  Median      3Q     Max 
-4.6138 -0.4514 -0.0109  0.5262  4.0657 

Random effects:
 Groups     Name        Variance  Std.Dev.
 Subject    (Intercept) 0.0035418 0.05951 
 Electrodes (Intercept) 0.0003694 0.01922 
 Residual               0.0126293 0.11238 
Number of obs: 520, groups:  Subject, 73; Electrodes, 8

Fixed effects:
                     Estimate Std. Error       df t value Pr(>|t|)   
(Intercept)           0.01270    0.01906 65.12076   0.666   0.5077   
Grouplow-SES         -0.06800    0.02368 75.21783  -2.871   0.0053 **
Sexmale               0.01345    0.02463 71.88706   0.546   0.5866   
Grouplow-SES:Sexmale  0.04391    0.03493 70.53360   1.257   0.2129   
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Correlation of Fixed Effects:
            (Intr) Gr-SES Sexmal
Grouplw-SES -0.702              
Sexmale     -0.675  0.543       
Grplw-SES:S  0.476 -0.678 -0.705
model_performance(alpha_asymmetry_lmer)
# Indices of model performance

AIC    |   AICc |    BIC | R2 (cond.) | R2 (marg.) |   ICC |  RMSE | Sigma
--------------------------------------------------------------------------
-676.4 | -676.2 | -646.6 |      0.284 |      0.062 | 0.236 | 0.106 | 0.112
ranova(alpha_asymmetry_lmer)
ANOVA-like table for random-effects: Single term deletions

Model:
Asimmetry ~ Group + Sex + (1 | Subject) + (1 | Electrodes) + Group:Sex
                 npar logLik     AIC    LRT Df Pr(>Chisq)    
<none>              7 345.20 -676.40                         
(1 | Subject)       6 319.55 -627.10 51.301  1  7.924e-13 ***
(1 | Electrodes)    6 342.43 -672.85  5.552  1    0.01846 *  
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
anova(alpha_asymmetry_lmer)
Type III Analysis of Variance Table with Satterthwaite's method
            Sum Sq  Mean Sq NumDF  DenDF F value  Pr(>F)  
Group     0.087784 0.087784     1 70.516  6.9508 0.01030 *
Sex       0.051871 0.051871     1 70.568  4.1072 0.04648 *
Group:Sex 0.019954 0.019954     1 70.534  1.5799 0.21292  
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
interpret(omega_squared(alpha_asymmetry_lmer, alternative = 'two.sided'), rules = 'field2013')
# Effect Size for ANOVA (Type III)

Parameter | Omega2 (partial) |       95% CI | Interpretation
------------------------------------------------------------
Group     |             0.08 | [0.00, 0.22] |         medium
Sex       |             0.04 | [0.00, 0.16] |          small
Group:Sex |         7.93e-03 | [0.00, 0.09] |     very small

- Interpretation rule: field2013
a_posteriori_lmer(alpha_asymmetry_lmer)
____________________________________________________________
G3;NOTE: Results may be misleading due to involvement in interactions
g
$emmeans
 Group    emmean     SE   df lower.CL upper.CL
 Control  0.0194 0.0141 37.1  -0.0091  0.04794
 low-SES -0.0266 0.0141 37.1  -0.0553  0.00202

Results are averaged over the levels of: Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast            estimate     SE df t.ratio p.value
 Control - (low-SES)    0.046 0.0175 67   2.635  0.0104

Results are averaged over the levels of: Sex 
Degrees-of-freedom method: kenward-roger 

____________________________________________________________
G3;NOTE: Results may be misleading due to involvement in interactions
g
$emmeans
 Sex     emmean     SE   df lower.CL upper.CL
 female -0.0213 0.0137 35.0  -0.0491  0.00646
 male    0.0141 0.0145 38.9  -0.0153  0.04349

Results are averaged over the levels of: Group 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast      estimate     SE df t.ratio p.value
 female - male  -0.0354 0.0175 67  -2.026  0.0468

Results are averaged over the levels of: Group 
Degrees-of-freedom method: kenward-roger 

4.2 Fp2-Fp1 pair

options(width = 100)
alpha_asymmetry_rep_anova = aov_ez("Subject", "asymmetry_Fp2_Fp1", alpha_asymmetry_data, between = c("Group", "Sex"))
G2;H2;Warningh: Missing values for 17 ID(s), which were removed before analysis:
4, 16, 17, 18, 20, 28, 34, 42, 43, 51, ... [showing first 10 only]
Below the first few rows (in wide format) of the removed cases with missing data.
  g
G3;Contrasts set to contr.sum for the following variables: Group, Sex
g
mytable <- xtabs(~ Group + Sex, data = alpha_asymmetry_rep_anova$data$long)
ftable(addmargins(mytable))
        Sex female male Sum
Group                      
Control         12   17  29
low-SES         19   12  31
Sum             31   29  60
# alpha_asymmetry_rain <- ggplot(alpha_asymmetry_rep_anova$data$long, aes(y = asymmetry_Fp2_Fp1, x = Group, color = Sex, fill = Sex)) +
#   # ggtitle("alpha_asymmetry") +
#   ylab("power") +
#   stat_halfeye(
#     trim   = FALSE, 
#     adjust = 1, 
#     .width = 0, 
#     justification = -.15, 
#     alpha  = .5,
#     point_colour = NA) + 
#   # theme(legend.position='none')
#   # geom_boxplot(width = .15, alpha = .2, outlier.shape = NA) +
#   geom_point(size = 2, alpha = .4, position = position_jitter(width = .05, height = 0)) 
# suppressWarnings(print(alpha_asymmetry_rain))
alpha_asymmetry_afex_plot <-
  afex_plot(
    alpha_asymmetry_rep_anova,
    x = "Group",
    trace = "Sex",
    error = "between",
    error_arg = list(width = .1),
    dodge = .3,
    data_arg  = list(
      position = 
        position_jitterdodge(
          jitter.width  = .1, 
          jitter.height = .1, 
          dodge.width   = .3  ## needs to be same as dodge
        )),
    mapping = c("color"),
    point_arg = list(size = 4)
  )
suppressWarnings(print(alpha_asymmetry_afex_plot))

nice(alpha_asymmetry_rep_anova)
Anova Table (Type 3 tests)

Response: asymmetry_Fp2_Fp1
     Effect    df  MSE    F  ges p.value
1     Group 1, 56 0.02 2.64 .045    .110
2       Sex 1, 56 0.02 1.49 .026    .227
3 Group:Sex 1, 56 0.02 0.22 .004    .639
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘+’ 0.1 ‘ ’ 1
a_posteriori(alpha_asymmetry_rep_anova)
G3;NOTE: Results may be misleading due to involvement in interactions
g
 Group    emmean     SE df lower.CL upper.CL
 Control  0.0267 0.0257 56  -0.0248   0.0782
 low-SES -0.0318 0.0252 56  -0.0822   0.0186

Results are averaged over the levels of: Sex 
Confidence level used: 0.95 
G3;NOTE: Results may be misleading due to involvement in interactions
g
 Sex     emmean     SE df lower.CL upper.CL
 female -0.0245 0.0252 56  -0.0749   0.0259
 male    0.0195 0.0257 56  -0.0321   0.0710

Results are averaged over the levels of: Group 
Confidence level used: 0.95 
 Group   Sex      emmean     SE df lower.CL upper.CL
 Control female  0.01320 0.0394 56  -0.0657 0.092109
 low-SES female -0.06224 0.0313 56  -0.1249 0.000472
 Control male    0.04022 0.0331 56  -0.0261 0.106519
 low-SES male   -0.00131 0.0394 56  -0.0802 0.077603

Confidence level used: 0.95 

4.3 AF4-AF3 pair

options(width = 100)
alpha_asymmetry_rep_anova = aov_ez("Subject", "asymmetry_AF4_AF3", alpha_asymmetry_data, between = c("Group", "Sex"))
G2;H2;Warningh: Missing values for 15 ID(s), which were removed before analysis:
1, 4, 16, 17, 18, 20, 42, 43, 51, 52, ... [showing first 10 only]
Below the first few rows (in wide format) of the removed cases with missing data.
  g
G3;Contrasts set to contr.sum for the following variables: Group, Sex
g
mytable <- xtabs(~ Group + Sex, data = alpha_asymmetry_rep_anova$data$long)
ftable(addmargins(mytable))
        Sex female male Sum
Group                      
Control         13   18  31
low-SES         18   13  31
Sum             31   31  62
alpha_asymmetry_afex_plot <-
  afex_plot(
    alpha_asymmetry_rep_anova,
    x = "Group",
    trace = "Sex",
    error = "between",
    error_arg = list(width = .1),
    dodge = .3,
    data_arg  = list(
      position = 
        position_jitterdodge(
          jitter.width  = .1, 
          jitter.height = .1, 
          dodge.width   = .3  ## needs to be same as dodge
        )),
    mapping = c("color"),
    point_arg = list(size = 4)
  )
suppressWarnings(print(alpha_asymmetry_afex_plot))

nice(alpha_asymmetry_rep_anova)
Anova Table (Type 3 tests)

Response: asymmetry_AF4_AF3
     Effect    df  MSE    F  ges p.value
1     Group 1, 58 0.02 2.43 .040    .125
2       Sex 1, 58 0.02 2.22 .037    .141
3 Group:Sex 1, 58 0.02 1.00 .017    .322
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘+’ 0.1 ‘ ’ 1
a_posteriori(alpha_asymmetry_rep_anova)
G3;NOTE: Results may be misleading due to involvement in interactions
g
 Group    emmean     SE df lower.CL upper.CL
 Control  0.0216 0.0252 58  -0.0289   0.0721
 low-SES -0.0340 0.0252 58  -0.0846   0.0165

Results are averaged over the levels of: Sex 
Confidence level used: 0.95 
G3;NOTE: Results may be misleading due to involvement in interactions
g
 Sex     emmean     SE df lower.CL upper.CL
 female -0.0328 0.0252 58  -0.0834   0.0177
 male    0.0204 0.0252 58  -0.0301   0.0709

Results are averaged over the levels of: Group 
Confidence level used: 0.95 
 Group   Sex     emmean     SE df lower.CL upper.CL
 Control female  0.0128 0.0385 58  -0.0642   0.0898
 low-SES female -0.0785 0.0327 58  -0.1439  -0.0131
 Control male    0.0303 0.0327 58  -0.0351   0.0958
 low-SES male    0.0104 0.0385 58  -0.0666   0.0874

Confidence level used: 0.95 

4.4 AF8-AF7 pair

options(width = 100)
alpha_asymmetry_rep_anova = aov_ez("Subject", "asymmetry_AF8_AF7", alpha_asymmetry_data, between = c("Group", "Sex"))
G2;H2;Warningh: Missing values for 14 ID(s), which were removed before analysis:
1, 4, 18, 20, 34, 42, 43, 51, 52, 64, ... [showing first 10 only]
Below the first few rows (in wide format) of the removed cases with missing data.
  g
G3;Contrasts set to contr.sum for the following variables: Group, Sex
g
mytable <- xtabs(~ Group + Sex, data = alpha_asymmetry_rep_anova$data$long)
ftable(addmargins(mytable))
        Sex female male Sum
Group                      
Control         13   17  30
low-SES         19   14  33
Sum             32   31  63
alpha_asymmetry_afex_plot <-
  afex_plot(
    alpha_asymmetry_rep_anova,
    x = "Group",
    trace = "Sex",
    error = "between",
    error_arg = list(width = .1),
    dodge = .3,
    data_arg  = list(
      position = 
        position_jitterdodge(
          jitter.width  = .1, 
          jitter.height = .1, 
          dodge.width   = .3  ## needs to be same as dodge
        )),
    mapping = c("color"),
    point_arg = list(size = 4)
  )
suppressWarnings(print(alpha_asymmetry_afex_plot))

nice(alpha_asymmetry_rep_anova)
Anova Table (Type 3 tests)

Response: asymmetry_AF8_AF7
     Effect    df  MSE       F  ges p.value
1     Group 1, 59 0.03 9.39 ** .137    .003
2       Sex 1, 59 0.03    1.30 .022    .258
3 Group:Sex 1, 59 0.03    2.66 .043    .108
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘+’ 0.1 ‘ ’ 1
a_posteriori(alpha_asymmetry_rep_anova)
________________________________________________________________________________
G3;NOTE: Results may be misleading due to involvement in interactions
g
$emmeans
 Group    emmean     SE df lower.CL upper.CL
 Control  0.0671 0.0307 59  0.00565  0.12854
 low-SES -0.0631 0.0294 59 -0.12184 -0.00436

Results are averaged over the levels of: Sex 
Confidence level used: 0.95 

$contrasts
 contrast            estimate     SE df t.ratio p.value
 Control - (low-SES)     0.13 0.0425 59   3.065  0.0033

Results are averaged over the levels of: Sex 
G3;NOTE: Results may be misleading due to involvement in interactions
g
 Sex     emmean     SE df lower.CL upper.CL
 female -0.0223 0.0300 59  -0.0823   0.0378
 male    0.0263 0.0301 59  -0.0339   0.0864

Results are averaged over the levels of: Group 
Confidence level used: 0.95 
 Group   Sex      emmean     SE df lower.CL upper.CL
 Control female  0.07751 0.0462 59  -0.0150   0.1700
 low-SES female -0.12202 0.0382 59  -0.1985  -0.0455
 Control male    0.05669 0.0404 59  -0.0242   0.1376
 low-SES male   -0.00418 0.0445 59  -0.0933   0.0850

Confidence level used: 0.95 

4.5 F2-F1 pair

options(width = 100)
alpha_asymmetry_rep_anova = aov_ez("Subject", "asymmetry_F2_F1", alpha_asymmetry_data, between = c("Group", "Sex"))
G2;H2;Warningh: Missing values for 6 ID(s), which were removed before analysis:
17, 20, 43, 65, 69, 78
Below the first few rows (in wide format) of the removed cases with missing data.
  g
G3;Contrasts set to contr.sum for the following variables: Group, Sex
g
mytable <- xtabs(~ Group + Sex, data = alpha_asymmetry_rep_anova$data$long)
ftable(addmargins(mytable))
        Sex female male Sum
Group                      
Control         17   18  35
low-SES         22   14  36
Sum             39   32  71
alpha_asymmetry_afex_plot <-
  afex_plot(
    alpha_asymmetry_rep_anova,
    x = "Group",
    trace = "Sex",
    error = "between",
    error_arg = list(width = .1),
    dodge = .3,
    data_arg  = list(
      position = 
        position_jitterdodge(
          jitter.width  = .1, 
          jitter.height = .1, 
          dodge.width   = .3  ## needs to be same as dodge
        )),
    mapping = c("color"),
    point_arg = list(size = 4)
  )
suppressWarnings(print(alpha_asymmetry_afex_plot))

nice(alpha_asymmetry_rep_anova)
Anova Table (Type 3 tests)

Response: asymmetry_F2_F1
     Effect    df  MSE    F   ges p.value
1     Group 1, 67 0.01 0.62  .009    .435
2       Sex 1, 67 0.01 0.19  .003    .666
3 Group:Sex 1, 67 0.01 0.01 <.001    .904
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘+’ 0.1 ‘ ’ 1
a_posteriori(alpha_asymmetry_rep_anova)
G3;NOTE: Results may be misleading due to involvement in interactions
g
 Group   emmean     SE df lower.CL upper.CL
 Control 0.0271 0.0125 67  0.00203   0.0521
 low-SES 0.0131 0.0127 67 -0.01226   0.0384

Results are averaged over the levels of: Sex 
Confidence level used: 0.95 
G3;NOTE: Results may be misleading due to involvement in interactions
g
 Sex    emmean     SE df  lower.CL upper.CL
 female 0.0239 0.0120 67  1.66e-05   0.0478
 male   0.0162 0.0132 67 -1.02e-02   0.0426

Results are averaged over the levels of: Group 
Confidence level used: 0.95 
 Group   Sex    emmean     SE df lower.CL upper.CL
 Control female 0.0320 0.0180 67  -0.0039   0.0679
 low-SES female 0.0158 0.0158 67  -0.0157   0.0474
 Control male   0.0221 0.0175 67  -0.0128   0.0570
 low-SES male   0.0103 0.0198 67  -0.0293   0.0499

Confidence level used: 0.95 

4.6 F4-F3 pair

options(width = 100)
alpha_asymmetry_rep_anova = aov_ez("Subject", "asymmetry_F4_F3", alpha_asymmetry_data, between = c("Group", "Sex"))
G2;H2;Warningh: Missing values for 10 ID(s), which were removed before analysis:
4, 18, 20, 34, 42, 43, 52, 65, 69, 78, ... [showing first 10 only]
Below the first few rows (in wide format) of the removed cases with missing data.
  g
G3;Contrasts set to contr.sum for the following variables: Group, Sex
g
mytable <- xtabs(~ Group + Sex, data = alpha_asymmetry_rep_anova$data$long)
ftable(addmargins(mytable))
        Sex female male Sum
Group                      
Control         16   17  33
low-SES         20   14  34
Sum             36   31  67
alpha_asymmetry_afex_plot <-
  afex_plot(
    alpha_asymmetry_rep_anova,
    x = "Group",
    trace = "Sex",
    error = "between",
    error_arg = list(width = .1),
    dodge = .3,
    data_arg  = list(
      position = 
        position_jitterdodge(
          jitter.width  = .1, 
          jitter.height = .1, 
          dodge.width   = .3  ## needs to be same as dodge
        )),
    mapping = c("color"),
    point_arg = list(size = 4)
  )
suppressWarnings(print(alpha_asymmetry_afex_plot))

nice(alpha_asymmetry_rep_anova)
Anova Table (Type 3 tests)

Response: asymmetry_F4_F3
     Effect    df  MSE      F  ges p.value
1     Group 1, 63 0.01 4.37 * .065    .041
2       Sex 1, 63 0.01   0.93 .015    .339
3 Group:Sex 1, 63 0.01   0.98 .015    .326
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘+’ 0.1 ‘ ’ 1
a_posteriori(alpha_asymmetry_rep_anova)
________________________________________________________________________________
G3;NOTE: Results may be misleading due to involvement in interactions
g
$emmeans
 Group    emmean     SE df lower.CL upper.CL
 Control  0.0295 0.0194 63 -0.00927   0.0683
 low-SES -0.0279 0.0194 63 -0.06666   0.0109

Results are averaged over the levels of: Sex 
Confidence level used: 0.95 

$contrasts
 contrast            estimate     SE df t.ratio p.value
 Control - (low-SES)   0.0574 0.0274 63   2.091  0.0406

Results are averaged over the levels of: Sex 
G3;NOTE: Results may be misleading due to involvement in interactions
g
 Sex     emmean     SE df lower.CL upper.CL
 female -0.0124 0.0187 63  -0.0498   0.0249
 male    0.0140 0.0201 63  -0.0261   0.0542

Results are averaged over the levels of: Group 
Confidence level used: 0.95 
 Group   Sex      emmean     SE df lower.CL upper.CL
 Control female  0.02984 0.0278 63  -0.0258  0.08548
 low-SES female -0.05469 0.0249 63  -0.1045 -0.00492
 Control male    0.02915 0.0270 63  -0.0248  0.08313
 low-SES male   -0.00107 0.0298 63  -0.0606  0.05842

Confidence level used: 0.95 

4.7 F6-F5 pair

options(width = 100)
alpha_asymmetry_rep_anova = aov_ez("Subject", "asymmetry_F6_F5", alpha_asymmetry_data, between = c("Group", "Sex"))
G2;H2;Warningh: Missing values for 12 ID(s), which were removed before analysis:
4, 7, 17, 18, 20, 34, 42, 43, 64, 65, ... [showing first 10 only]
Below the first few rows (in wide format) of the removed cases with missing data.
  g
G3;Contrasts set to contr.sum for the following variables: Group, Sex
g
mytable <- xtabs(~ Group + Sex, data = alpha_asymmetry_rep_anova$data$long)
ftable(addmargins(mytable))
        Sex female male Sum
Group                      
Control         16   17  33
low-SES         18   14  32
Sum             34   31  65
alpha_asymmetry_afex_plot <-
  afex_plot(
    alpha_asymmetry_rep_anova,
    x = "Group",
    trace = "Sex",
    error = "between",
    error_arg = list(width = .1),
    dodge = .3,
    data_arg  = list(
      position = 
        position_jitterdodge(
          jitter.width  = .1, 
          jitter.height = .1, 
          dodge.width   = .3  ## needs to be same as dodge
        )),
    mapping = c("color"),
    point_arg = list(size = 4)
  )
suppressWarnings(print(alpha_asymmetry_afex_plot))

nice(alpha_asymmetry_rep_anova)
Anova Table (Type 3 tests)

Response: asymmetry_F6_F5
     Effect    df  MSE      F  ges p.value
1     Group 1, 61 0.02 4.42 * .068    .040
2       Sex 1, 61 0.02 4.04 * .062    .049
3 Group:Sex 1, 61 0.02   0.40 .007    .528
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘+’ 0.1 ‘ ’ 1
a_posteriori(alpha_asymmetry_rep_anova)
________________________________________________________________________________
G3;NOTE: Results may be misleading due to involvement in interactions
g
$emmeans
 Group     emmean     SE df lower.CL upper.CL
 Control  0.00688 0.0222 61  -0.0375   0.0513
 low-SES -0.05985 0.0227 61  -0.1052  -0.0145

Results are averaged over the levels of: Sex 
Confidence level used: 0.95 

$contrasts
 contrast            estimate     SE df t.ratio p.value
 Control - (low-SES)   0.0667 0.0317 61   2.102  0.0397

Results are averaged over the levels of: Sex 

________________________________________________________________________________
G3;NOTE: Results may be misleading due to involvement in interactions
g
$emmeans
 Sex      emmean     SE df lower.CL upper.CL
 female -0.05840 0.0219 61  -0.1022  -0.0146
 male    0.00543 0.0230 61  -0.0405   0.0514

Results are averaged over the levels of: Group 
Confidence level used: 0.95 

$contrasts
 contrast      estimate     SE df t.ratio p.value
 female - male  -0.0638 0.0317 61  -2.011  0.0487

Results are averaged over the levels of: Group 

 Group   Sex     emmean     SE df lower.CL upper.CL
 Control female -0.0150 0.0319 61  -0.0787   0.0487
 low-SES female -0.1018 0.0300 61  -0.1619  -0.0418
 Control male    0.0287 0.0309 61  -0.0331   0.0905
 low-SES male   -0.0179 0.0341 61  -0.0860   0.0502

Confidence level used: 0.95 

4.8 F8-F7 pair

options(width = 100)
alpha_asymmetry_rep_anova = aov_ez("Subject", "asymmetry_F8_F7", alpha_asymmetry_data, between = c("Group", "Sex"))
G2;H2;Warningh: Missing values for 17 ID(s), which were removed before analysis:
1, 4, 7, 17, 20, 34, 42, 43, 45, 51, ... [showing first 10 only]
Below the first few rows (in wide format) of the removed cases with missing data.
  g
G3;Contrasts set to contr.sum for the following variables: Group, Sex
g
mytable <- xtabs(~ Group + Sex, data = alpha_asymmetry_rep_anova$data$long)
ftable(addmargins(mytable))
        Sex female male Sum
Group                      
Control         11   17  28
low-SES         18   14  32
Sum             29   31  60
alpha_asymmetry_afex_plot <-
  afex_plot(
    alpha_asymmetry_rep_anova,
    x = "Group",
    trace = "Sex",
    error = "between",
    error_arg = list(width = .1),
    dodge = .3,
    data_arg  = list(
      position = 
        position_jitterdodge(
          jitter.width  = .1, 
          jitter.height = .1, 
          dodge.width   = .3  ## needs to be same as dodge
        )),
    mapping = c("color"),
    point_arg = list(size = 4)
  )
suppressWarnings(print(alpha_asymmetry_afex_plot))

nice(alpha_asymmetry_rep_anova)
Anova Table (Type 3 tests)

Response: asymmetry_F8_F7
     Effect    df  MSE    F   ges p.value
1     Group 1, 56 0.03 0.00 <.001    .983
2       Sex 1, 56 0.03 0.95  .017    .334
3 Group:Sex 1, 56 0.03 0.23  .004    .633
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘+’ 0.1 ‘ ’ 1
a_posteriori(alpha_asymmetry_rep_anova)
G3;NOTE: Results may be misleading due to involvement in interactions
g
 Group    emmean     SE df lower.CL upper.CL
 Control -0.0536 0.0306 56   -0.115  0.00771
 low-SES -0.0528 0.0282 56   -0.109  0.00373

Results are averaged over the levels of: Sex 
Confidence level used: 0.95 
G3;NOTE: Results may be misleading due to involvement in interactions
g
 Sex     emmean     SE df lower.CL upper.CL
 female -0.0734 0.0303 56  -0.1341  -0.0128
 male   -0.0329 0.0286 56  -0.0901   0.0243

Results are averaged over the levels of: Group 
Confidence level used: 0.95 
 Group   Sex     emmean     SE df lower.CL upper.CL
 Control female -0.0839 0.0477 56   -0.179   0.0117
 low-SES female -0.0630 0.0373 56   -0.138   0.0117
 Control male   -0.0234 0.0384 56   -0.100   0.0535
 low-SES male   -0.0425 0.0423 56   -0.127   0.0422

Confidence level used: 0.95 

4.9 FC2-FC1 pair

options(width = 100)
alpha_asymmetry_rep_anova = aov_ez("Subject", "asymmetry_FC2_FC1", alpha_asymmetry_data, between = c("Group", "Sex"))
G2;H2;Warningh: Missing values for 5 ID(s), which were removed before analysis:
17, 20, 43, 65, 69
Below the first few rows (in wide format) of the removed cases with missing data.
  g
G3;Contrasts set to contr.sum for the following variables: Group, Sex
g
mytable <- xtabs(~ Group + Sex, data = alpha_asymmetry_rep_anova$data$long)
ftable(addmargins(mytable))
        Sex female male Sum
Group                      
Control         18   18  36
low-SES         22   14  36
Sum             40   32  72
alpha_asymmetry_afex_plot <-
  afex_plot(
    alpha_asymmetry_rep_anova,
    x = "Group",
    trace = "Sex",
    error = "between",
    error_arg = list(width = .1),
    dodge = .3,
    data_arg  = list(
      position = 
        position_jitterdodge(
          jitter.width  = .1, 
          jitter.height = .1, 
          dodge.width   = .3  ## needs to be same as dodge
        )),
    mapping = c("color"),
    point_arg = list(size = 4)
  )
suppressWarnings(print(alpha_asymmetry_afex_plot))

nice(alpha_asymmetry_rep_anova)
Anova Table (Type 3 tests)

Response: asymmetry_FC2_FC1
     Effect    df  MSE      F  ges p.value
1     Group 1, 68 0.01   0.14 .002    .711
2       Sex 1, 68 0.01 4.44 * .061    .039
3 Group:Sex 1, 68 0.01 3.12 + .044    .082
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘+’ 0.1 ‘ ’ 1
a_posteriori(alpha_asymmetry_rep_anova)
G3;NOTE: Results may be misleading due to involvement in interactions
g
 Group   emmean     SE df lower.CL upper.CL
 Control 0.0283 0.0149 68 -0.00143   0.0580
 low-SES 0.0203 0.0153 68 -0.01013   0.0508

Results are averaged over the levels of: Sex 
Confidence level used: 0.95 
________________________________________________________________________________
G3;NOTE: Results may be misleading due to involvement in interactions
g
$emmeans
 Sex     emmean     SE df lower.CL upper.CL
 female 0.00184 0.0142 68  -0.0265   0.0302
 male   0.04677 0.0159 68   0.0150   0.0785

Results are averaged over the levels of: Group 
Confidence level used: 0.95 

$contrasts
 contrast      estimate     SE df t.ratio p.value
 female - male  -0.0449 0.0213 68  -2.107  0.0388

Results are averaged over the levels of: Group 

 Group   Sex     emmean     SE df lower.CL upper.CL
 Control female  0.0246 0.0211 68  -0.0174   0.0667
 low-SES female -0.0210 0.0190 68  -0.0590   0.0170
 Control male    0.0319 0.0211 68  -0.0101   0.0739
 low-SES male    0.0616 0.0239 68   0.0140   0.1093

Confidence level used: 0.95 

5 Alpha peak parameters and aperiodic activity

options(width = 100)
summary(alpha_power_data)
    Subject                     Dataset         Electrode     Frequency        Amplitude      
 1      :  16   rest_001_resting.csv:  16   E068-F4a : 77   Min.   : 7.043   Min.   :0.06018  
 2      :  16   rest_002_resting.csv:  16   E069-F6a : 77   1st Qu.: 9.152   1st Qu.:0.51268  
 4      :  16   rest_004_resting.csv:  16   E071-F8  : 77   Median :10.107   Median :0.76769  
 5      :  16   rest_005_resting.csv:  16   E072-AF8 : 77   Mean   : 9.964   Mean   :0.80731  
 6      :  16   rest_006_resting.csv:  16   E075-FC2a: 77   3rd Qu.:10.727   3rd Qu.:1.07556  
 7      :  16   rest_007_resting.csv:  16   E076-F2a : 77   Max.   :12.046   Max.   :1.94427  
 (Other):1136   (Other)             :1136   (Other)  :770   NA's   :145      NA's   :145      
     Width           Offset            Slope           r_squared          error        
 Min.   :1.000   Min.   :-0.7554   Min.   :-0.4384   Min.   :0.1708   Min.   :0.01429  
 1st Qu.:1.606   1st Qu.: 0.7167   1st Qu.: 0.8150   1st Qu.:0.9509   1st Qu.:0.03191  
 Median :2.072   Median : 0.9958   Median : 1.0931   Median :0.9846   Median :0.04258  
 Mean   :2.217   Mean   : 1.0009   Mean   : 1.0775   Mean   :0.9474   Mean   :0.04874  
 3rd Qu.:2.576   3rd Qu.: 1.3058   3rd Qu.: 1.3345   3rd Qu.:0.9928   3rd Qu.:0.05904  
 Max.   :5.000   Max.   : 3.1101   Max.   : 2.6227   Max.   :0.9988   Max.   :0.19031  
 NA's   :145                                                                           
    n_peaks          f_inf       f_sup      alpha_inf   alpha_sup  hemisphere  electrode_pair
 Min.   :0.000   Min.   :2   Min.   :48   Min.   :7   Min.   :13   Left :616   Fp1-Fp2:154   
 1st Qu.:2.000   1st Qu.:2   1st Qu.:48   1st Qu.:7   1st Qu.:13   Right:616   AF3-AF4:154   
 Median :3.000   Median :2   Median :48   Median :7   Median :13               AF7-AF8:154   
 Mean   :2.962   Mean   :2   Mean   :48   Mean   :7   Mean   :13               F1-F2  :154   
 3rd Qu.:4.000   3rd Qu.:2   3rd Qu.:48   3rd Qu.:7   3rd Qu.:13               F3-F4  :154   
 Max.   :4.000   Max.   :2   Max.   :48   Max.   :7   Max.   :13               F5-F6  :154   
                                                                               (Other):308   
     Group         Sex     
 Control:624   female:688  
 low-SES:608   male  :544  
                           
                           
                           
                           
                           
spec_params <- c('Amplitude', 'Frequency', 'Width', 'Offset', 'Slope')
spec_params_pairs <- ggpairs(alpha_power_data,
                       columns = spec_params,
                       aes(colour = Group, alpha = .25),
                       progress = FALSE,
                       lower = list(continuous = wrap("points")))
suppressWarnings(print(spec_params_pairs))

5.1 Alpha Power

options(width = 100)
alpha_pow_rep_anova = aov_ez("Subject", "Amplitude", alpha_power_data, between = c("Group", "Sex"), within = c("hemisphere", "electrode_pair"))
G2;H2;Warningh: Missing values for 21 ID(s), which were removed before analysis:
1, 4, 7, 16, 17, 18, 20, 28, 34, 42, ... [showing first 10 only]
Below the first few rows (in wide format) of the removed cases with missing data.
  g
G3;Contrasts set to contr.sum for the following variables: Group, Sex
g
mytable <- xtabs(~ Group + Sex, data = alpha_pow_rep_anova$data$long) / length(levels(alpha_pow_rep_anova$data$long$electrode_pair)) / length(levels(alpha_pow_rep_anova$data$long$hemisphere))
ftable(addmargins(mytable))
        Sex female male Sum
Group                      
Control         10   17  27
low-SES         17   12  29
Sum             27   29  56
alpha_pow_afex_plot <-
  afex_plot(
    alpha_pow_rep_anova,
    x = "Group",
    trace = "Sex",
    panel = "hemisphere",
    error = "between",
    error_arg = list(width = .1),
    dodge = .3,
    data_arg  = list(
      position = 
        position_jitterdodge(
          jitter.width  = .1, 
          jitter.height = .1, 
          dodge.width   = .3  ## needs to be same as dodge
        )),
    mapping = c("color"),
    point_arg = list(size = 4)
  )
suppressWarnings(print(alpha_pow_afex_plot))

nice(alpha_pow_rep_anova)
Anova Table (Type 3 tests)

Response: Amplitude
                                Effect           df  MSE         F   ges p.value
1                                Group        1, 52 1.69      2.04  .034    .160
2                                  Sex        1, 52 1.69      0.49  .008    .487
3                            Group:Sex        1, 52 1.69      0.67  .012    .416
4                           hemisphere        1, 52 0.02      0.19 <.001    .665
5                     Group:hemisphere        1, 52 0.02    6.33 *  .002    .015
6                       Sex:hemisphere        1, 52 0.02    3.54 + <.001    .065
7                 Group:Sex:hemisphere        1, 52 0.02      1.78 <.001    .188
8                       electrode_pair 2.91, 151.48 0.04 51.14 ***  .056   <.001
9                 Group:electrode_pair 2.91, 151.48 0.04      0.12 <.001    .946
10                  Sex:electrode_pair 2.91, 151.48 0.04      0.87  .001    .455
11            Group:Sex:electrode_pair 2.91, 151.48 0.04      0.51 <.001    .670
12           hemisphere:electrode_pair 4.46, 231.96 0.01    2.79 *  .001    .022
13     Group:hemisphere:electrode_pair 4.46, 231.96 0.01    2.13 + <.001    .071
14       Sex:hemisphere:electrode_pair 4.46, 231.96 0.01      0.52 <.001    .741
15 Group:Sex:hemisphere:electrode_pair 4.46, 231.96 0.01      1.04 <.001    .390
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘+’ 0.1 ‘ ’ 1

Sphericity correction method: GG 
# a_posteriori(alpha_pow_rep_anova)
emmeans(alpha_pow_rep_anova, pairwise ~ hemisphere | Group)
$emmeans
Group = Control:
 hemisphere emmean     SE df lower.CL upper.CL
 Left        0.951 0.0659 52    0.819    1.084
 Right       0.973 0.0644 52    0.844    1.102

Group = low-SES:
 hemisphere emmean     SE df lower.CL upper.CL
 Left        0.851 0.0623 52    0.726    0.976
 Right       0.820 0.0609 52    0.698    0.942

Results are averaged over the levels of: Sex, electrode_pair 
Confidence level used: 0.95 

$contrasts
Group = Control:
 contrast     estimate     SE df t.ratio p.value
 Left - Right  -0.0218 0.0152 52  -1.432  0.1582

Group = low-SES:
 contrast     estimate     SE df t.ratio p.value
 Left - Right   0.0309 0.0144 52   2.146  0.0365

Results are averaged over the levels of: Sex, electrode_pair 
cat(rep("_", 80), '\n', sep = "")
________________________________________________________________________________
emmeans(alpha_pow_rep_anova, pairwise ~ electrode_pair)
$emmeans
 electrode_pair emmean     SE df lower.CL upper.CL
 Fp1.Fp2         0.856 0.0444 52    0.767    0.945
 AF3.AF4         0.897 0.0460 52    0.804    0.989
 AF7.AF8         0.811 0.0456 52    0.719    0.902
 F1.F2           1.016 0.0458 52    0.924    1.108
 F3.F4           0.931 0.0459 52    0.839    1.023
 F5.F6           0.867 0.0471 52    0.772    0.961
 F7.F8           0.786 0.0488 52    0.688    0.884
 FC1.FC2         1.027 0.0442 52    0.938    1.115

Results are averaged over the levels of: Group, Sex, hemisphere 
Confidence level used: 0.95 

$contrasts
 contrast          estimate      SE df t.ratio p.value
 Fp1.Fp2 - AF3.AF4  -0.0406 0.01110 52  -3.652  0.0131
 Fp1.Fp2 - AF7.AF8   0.0452 0.01610 52   2.806  0.1158
 Fp1.Fp2 - F1.F2    -0.1600 0.02140 52  -7.465  <.0001
 Fp1.Fp2 - F3.F4    -0.0749 0.02330 52  -3.209  0.0439
 Fp1.Fp2 - F5.F6    -0.0106 0.02190 52  -0.483  0.9997
 Fp1.Fp2 - F7.F8     0.0698 0.02200 52   3.169  0.0485
 Fp1.Fp2 - FC1.FC2  -0.1706 0.02540 52  -6.704  <.0001
 AF3.AF4 - AF7.AF8   0.0858 0.01550 52   5.542  <.0001
 AF3.AF4 - F1.F2    -0.1194 0.01610 52  -7.425  <.0001
 AF3.AF4 - F3.F4    -0.0343 0.01850 52  -1.849  0.5910
 AF3.AF4 - F5.F6     0.0300 0.01700 52   1.772  0.6414
 AF3.AF4 - F7.F8     0.1104 0.01850 52   5.974  <.0001
 AF3.AF4 - FC1.FC2  -0.1300 0.02100 52  -6.190  <.0001
 AF7.AF8 - F1.F2    -0.2052 0.01920 52 -10.695  <.0001
 AF7.AF8 - F3.F4    -0.1201 0.01920 52  -6.240  <.0001
 AF7.AF8 - F5.F6    -0.0558 0.01630 52  -3.428  0.0245
 AF7.AF8 - F7.F8     0.0246 0.01490 52   1.646  0.7204
 AF7.AF8 - FC1.FC2  -0.2158 0.02250 52  -9.589  <.0001
 F1.F2 - F3.F4       0.0851 0.01010 52   8.436  <.0001
 F1.F2 - F5.F6       0.1494 0.01340 52  11.143  <.0001
 F1.F2 - F7.F8       0.2298 0.01800 52  12.774  <.0001
 F1.F2 - FC1.FC2    -0.0106 0.00855 52  -1.237  0.9170
 F3.F4 - F5.F6       0.0643 0.01080 52   5.961  <.0001
 F3.F4 - F7.F8       0.1447 0.01420 52  10.221  <.0001
 F3.F4 - FC1.FC2    -0.0957 0.01200 52  -8.009  <.0001
 F5.F6 - F7.F8       0.0804 0.01020 52   7.897  <.0001
 F5.F6 - FC1.FC2    -0.1600 0.01530 52 -10.489  <.0001
 F7.F8 - FC1.FC2    -0.2404 0.01980 52 -12.149  <.0001

Results are averaged over the levels of: Group, Sex, hemisphere 
P value adjustment: tukey method for comparing a family of 8 estimates 
cat(rep("_", 80), '\n', sep = "")
________________________________________________________________________________
emmeans(alpha_pow_rep_anova, pairwise ~ electrode_pair | hemisphere)
$emmeans
hemisphere = Left:
 electrode_pair emmean     SE df lower.CL upper.CL
 Fp1.Fp2         0.858 0.0451 52    0.768    0.949
 AF3.AF4         0.896 0.0475 52    0.801    0.991
 AF7.AF8         0.812 0.0481 52    0.715    0.908
 F1.F2           1.006 0.0463 52    0.913    1.099
 F3.F4           0.929 0.0474 52    0.834    1.024
 F5.F6           0.879 0.0487 52    0.781    0.977
 F7.F8           0.815 0.0505 52    0.713    0.916
 FC1.FC2         1.014 0.0443 52    0.925    1.103

hemisphere = Right:
 electrode_pair emmean     SE df lower.CL upper.CL
 Fp1.Fp2         0.854 0.0458 52    0.762    0.946
 AF3.AF4         0.898 0.0464 52    0.804    0.991
 AF7.AF8         0.810 0.0460 52    0.718    0.902
 F1.F2           1.026 0.0460 52    0.934    1.119
 F3.F4           0.933 0.0455 52    0.842    1.024
 F5.F6           0.854 0.0470 52    0.760    0.949
 F7.F8           0.758 0.0495 52    0.658    0.857
 FC1.FC2         1.039 0.0451 52    0.949    1.130

Results are averaged over the levels of: Group, Sex 
Confidence level used: 0.95 

$contrasts
hemisphere = Left:
 contrast           estimate      SE df t.ratio p.value
 Fp1.Fp2 - AF3.AF4 -0.037387 0.01380 52  -2.716  0.1409
 Fp1.Fp2 - AF7.AF8  0.046677 0.01870 52   2.496  0.2199
 Fp1.Fp2 - F1.F2   -0.147332 0.02220 52  -6.633  <.0001
 Fp1.Fp2 - F3.F4   -0.070463 0.02610 52  -2.696  0.1471
 Fp1.Fp2 - F5.F6   -0.020472 0.02390 52  -0.856  0.9886
 Fp1.Fp2 - F7.F8    0.043758 0.02450 52   1.786  0.6320
 Fp1.Fp2 - FC1.FC2 -0.155621 0.02650 52  -5.868  <.0001
 AF3.AF4 - AF7.AF8  0.084064 0.02120 52   3.974  0.0050
 AF3.AF4 - F1.F2   -0.109945 0.01710 52  -6.427  <.0001
 AF3.AF4 - F3.F4   -0.033076 0.02120 52  -1.561  0.7704
 AF3.AF4 - F5.F6    0.016915 0.02010 52   0.842  0.9897
 AF3.AF4 - F7.F8    0.081145 0.02250 52   3.607  0.0149
 AF3.AF4 - FC1.FC2 -0.118234 0.02240 52  -5.282  0.0001
 AF7.AF8 - F1.F2   -0.194009 0.02340 52  -8.301  <.0001
 AF7.AF8 - F3.F4   -0.117141 0.02530 52  -4.627  0.0006
 AF7.AF8 - F5.F6   -0.067150 0.02080 52  -3.230  0.0415
 AF7.AF8 - F7.F8   -0.002920 0.01960 52  -0.149  1.0000
 AF7.AF8 - FC1.FC2 -0.202298 0.02600 52  -7.792  <.0001
 F1.F2 - F3.F4      0.076869 0.01240 52   6.185  <.0001
 F1.F2 - F5.F6      0.126859 0.01490 52   8.532  <.0001
 F1.F2 - F7.F8      0.191089 0.01910 52  10.006  <.0001
 F1.F2 - FC1.FC2   -0.008289 0.01090 52  -0.763  0.9943
 F3.F4 - F5.F6      0.049991 0.01480 52   3.369  0.0288
 F3.F4 - F7.F8      0.114221 0.01830 52   6.226  <.0001
 F3.F4 - FC1.FC2   -0.085158 0.01510 52  -5.623  <.0001
 F5.F6 - F7.F8      0.064230 0.01560 52   4.128  0.0031
 F5.F6 - FC1.FC2   -0.135148 0.01740 52  -7.753  <.0001
 F7.F8 - FC1.FC2   -0.199379 0.02080 52  -9.592  <.0001

hemisphere = Right:
 contrast           estimate      SE df t.ratio p.value
 Fp1.Fp2 - AF3.AF4 -0.043811 0.01390 52  -3.163  0.0493
 Fp1.Fp2 - AF7.AF8  0.043747 0.01770 52   2.469  0.2317
 Fp1.Fp2 - F1.F2   -0.172678 0.02580 52  -6.703  <.0001
 Fp1.Fp2 - F3.F4   -0.079262 0.02630 52  -3.010  0.0721
 Fp1.Fp2 - F5.F6   -0.000652 0.02520 52  -0.026  1.0000
 Fp1.Fp2 - F7.F8    0.095885 0.02690 52   3.569  0.0166
 Fp1.Fp2 - FC1.FC2 -0.185532 0.02910 52  -6.370  <.0001
 AF3.AF4 - AF7.AF8  0.087558 0.01720 52   5.091  0.0001
 AF3.AF4 - F1.F2   -0.128867 0.02070 52  -6.211  <.0001
 AF3.AF4 - F3.F4   -0.035451 0.02150 52  -1.646  0.7208
 AF3.AF4 - F5.F6    0.043159 0.02140 52   2.019  0.4798
 AF3.AF4 - F7.F8    0.139696 0.02370 52   5.900  <.0001
 AF3.AF4 - FC1.FC2 -0.141721 0.02520 52  -5.615  <.0001
 AF7.AF8 - F1.F2   -0.216425 0.02280 52  -9.473  <.0001
 AF7.AF8 - F3.F4   -0.123009 0.02140 52  -5.752  <.0001
 AF7.AF8 - F5.F6   -0.044398 0.01900 52  -2.340  0.2925
 AF7.AF8 - F7.F8    0.052138 0.01900 52   2.743  0.1329
 AF7.AF8 - FC1.FC2 -0.229278 0.02640 52  -8.692  <.0001
 F1.F2 - F3.F4      0.093416 0.01240 52   7.563  <.0001
 F1.F2 - F5.F6      0.172027 0.01760 52   9.752  <.0001
 F1.F2 - F7.F8      0.268563 0.02350 52  11.429  <.0001
 F1.F2 - FC1.FC2   -0.012854 0.00998 52  -1.287  0.8994
 F3.F4 - F5.F6      0.078610 0.01400 52   5.608  <.0001
 F3.F4 - F7.F8      0.175147 0.01840 52   9.543  <.0001
 F3.F4 - FC1.FC2   -0.106270 0.01550 52  -6.874  <.0001
 F5.F6 - F7.F8      0.096536 0.01280 52   7.516  <.0001
 F5.F6 - FC1.FC2   -0.184880 0.01940 52  -9.517  <.0001
 F7.F8 - FC1.FC2   -0.281417 0.02520 52 -11.187  <.0001

Results are averaged over the levels of: Group, Sex 
P value adjustment: tukey method for comparing a family of 8 estimates 

5.2 Alpha Frequency

options(width = 100)
alpha_freq_rep_anova = aov_ez("Subject", "Frequency", alpha_power_data, between = c("Group", "Sex"), within = c("hemisphere", "electrode_pair"))
G2;H2;Warningh: Missing values for 21 ID(s), which were removed before analysis:
1, 4, 7, 16, 17, 18, 20, 28, 34, 42, ... [showing first 10 only]
Below the first few rows (in wide format) of the removed cases with missing data.
  g
G3;Contrasts set to contr.sum for the following variables: Group, Sex
g
mytable <- xtabs(~ Group + Sex, data = alpha_freq_rep_anova$data$long) / length(levels(alpha_freq_rep_anova$data$long$electrode_pair)) / length(levels(alpha_freq_rep_anova$data$long$hemisphere))
ftable(addmargins(mytable))
        Sex female male Sum
Group                      
Control         10   17  27
low-SES         17   12  29
Sum             27   29  56
alpha_freq_afex_plot <-
  afex_plot(
    alpha_freq_rep_anova,
    x = "Group",
    trace = "Sex",
    panel = "hemisphere",
    error = "between",
    error_arg = list(width = .1),
    dodge = .3,
    data_arg  = list(
      position = 
        position_jitterdodge(
          jitter.width  = .1, 
          jitter.height = .1, 
          dodge.width   = .3  ## needs to be same as dodge
        )),
    mapping = c("color"),
    point_arg = list(size = 4)
  )
suppressWarnings(print(alpha_freq_afex_plot))

nice(alpha_freq_rep_anova)
Anova Table (Type 3 tests)

Response: Frequency
                                Effect           df   MSE      F   ges p.value
1                                Group        1, 52 14.40   1.80  .031    .186
2                                  Sex        1, 52 14.40   0.77  .013    .384
3                            Group:Sex        1, 52 14.40   0.48  .008    .492
4                           hemisphere        1, 52  0.27   0.21 <.001    .646
5                     Group:hemisphere        1, 52  0.27   0.06 <.001    .812
6                       Sex:hemisphere        1, 52  0.27   0.09 <.001    .767
7                 Group:Sex:hemisphere        1, 52  0.27   0.99 <.001    .325
8                       electrode_pair 2.58, 134.26  0.25 3.38 *  .003    .026
9                 Group:electrode_pair 2.58, 134.26  0.25   0.78 <.001    .488
10                  Sex:electrode_pair 2.58, 134.26  0.25   0.48 <.001    .671
11            Group:Sex:electrode_pair 2.58, 134.26  0.25   0.41 <.001    .717
12           hemisphere:electrode_pair 3.04, 157.88  0.12   0.74 <.001    .529
13     Group:hemisphere:electrode_pair 3.04, 157.88  0.12   0.73 <.001    .537
14       Sex:hemisphere:electrode_pair 3.04, 157.88  0.12   0.79 <.001    .504
15 Group:Sex:hemisphere:electrode_pair 3.04, 157.88  0.12   1.07 <.001    .366
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘+’ 0.1 ‘ ’ 1

Sphericity correction method: GG 
a_posteriori(alpha_freq_rep_anova)
G3;NOTE: Results may be misleading due to involvement in interactions
g
 Group   emmean    SE df lower.CL upper.CL
 Control   9.79 0.189 52     9.41     10.2
 low-SES  10.14 0.179 52     9.78     10.5

Results are averaged over the levels of: Sex, electrode_pair, hemisphere 
Confidence level used: 0.95 
G3;NOTE: Results may be misleading due to involvement in interactions
g
 Sex    emmean    SE df lower.CL upper.CL
 female   9.85 0.189 52     9.47     10.2
 male    10.08 0.179 52     9.72     10.4

Results are averaged over the levels of: Group, electrode_pair, hemisphere 
Confidence level used: 0.95 
 Group   Sex    emmean    SE df lower.CL upper.CL
 Control female   9.59 0.300 52     8.98     10.2
 low-SES female  10.11 0.230 52     9.65     10.6
 Control male     9.99 0.230 52     9.53     10.5
 low-SES male    10.16 0.274 52     9.61     10.7

Results are averaged over the levels of: electrode_pair, hemisphere 
Confidence level used: 0.95 
 hemisphere emmean    SE df lower.CL upper.CL
 Left         9.96 0.134 52     9.69     10.2
 Right        9.97 0.129 52     9.71     10.2

Results are averaged over the levels of: Group, Sex, electrode_pair 
Confidence level used: 0.95 
 Group   hemisphere emmean    SE df lower.CL upper.CL
 Control Left         9.79 0.194 52     9.40     10.2
 low-SES Left        10.13 0.184 52     9.76     10.5
 Control Right        9.79 0.187 52     9.42     10.2
 low-SES Right       10.15 0.177 52     9.80     10.5

Results are averaged over the levels of: Sex, electrode_pair 
Confidence level used: 0.95 
 Sex    hemisphere emmean    SE df lower.CL upper.CL
 female Left         9.84 0.194 52     9.45     10.2
 male   Left        10.08 0.184 52     9.71     10.4
 female Right        9.86 0.187 52     9.49     10.2
 male   Right       10.08 0.177 52     9.73     10.4

Results are averaged over the levels of: Group, electrode_pair 
Confidence level used: 0.95 
 Group   Sex    hemisphere emmean    SE df lower.CL upper.CL
 Control female Left         9.56 0.308 52     8.94     10.2
 low-SES female Left        10.11 0.236 52     9.64     10.6
 Control male   Left        10.01 0.236 52     9.54     10.5
 low-SES male   Left        10.14 0.281 52     9.57     10.7
 Control female Right        9.61 0.297 52     9.02     10.2
 low-SES female Right       10.11 0.228 52     9.66     10.6
 Control male   Right        9.98 0.228 52     9.52     10.4
 low-SES male   Right       10.19 0.271 52     9.64     10.7

Results are averaged over the levels of: electrode_pair 
Confidence level used: 0.95 
________________________________________________________________________________
$emmeans
 electrode_pair emmean    SE df lower.CL upper.CL
 Fp1.Fp2         10.01 0.129 52     9.75     10.3
 AF3.AF4          9.98 0.138 52     9.70     10.3
 AF7.AF8         10.01 0.134 52     9.74     10.3
 F1.F2            9.92 0.132 52     9.65     10.2
 F3.F4            9.91 0.133 52     9.64     10.2
 F5.F6            9.97 0.136 52     9.70     10.2
 F7.F8           10.03 0.130 52     9.77     10.3
 FC1.FC2          9.89 0.133 52     9.62     10.2

Results are averaged over the levels of: Group, Sex, hemisphere 
Confidence level used: 0.95 

$contrasts
 contrast          estimate     SE df t.ratio p.value
 Fp1.Fp2 - AF3.AF4  0.03655 0.0299 52   1.223  0.9214
 Fp1.Fp2 - AF7.AF8  0.00496 0.0246 52   0.202  1.0000
 Fp1.Fp2 - F1.F2    0.09511 0.0485 52   1.961  0.5172
 Fp1.Fp2 - F3.F4    0.10752 0.0458 52   2.350  0.2874
 Fp1.Fp2 - F5.F6    0.03891 0.0466 52   0.836  0.9901
 Fp1.Fp2 - F7.F8   -0.01798 0.0377 52  -0.477  0.9997
 Fp1.Fp2 - FC1.FC2  0.12626 0.0513 52   2.459  0.2361
 AF3.AF4 - AF7.AF8 -0.03159 0.0238 52  -1.326  0.8847
 AF3.AF4 - F1.F2    0.05856 0.0476 52   1.230  0.9191
 AF3.AF4 - F3.F4    0.07097 0.0449 52   1.581  0.7592
 AF3.AF4 - F5.F6    0.00236 0.0379 52   0.062  1.0000
 AF3.AF4 - F7.F8   -0.05453 0.0407 52  -1.341  0.8787
 AF3.AF4 - FC1.FC2  0.08971 0.0495 52   1.814  0.6137
 AF7.AF8 - F1.F2    0.09015 0.0436 52   2.065  0.4501
 AF7.AF8 - F3.F4    0.10256 0.0420 52   2.442  0.2436
 AF7.AF8 - F5.F6    0.03395 0.0349 52   0.974  0.9762
 AF7.AF8 - F7.F8   -0.02294 0.0325 52  -0.706  0.9965
 AF7.AF8 - FC1.FC2  0.12130 0.0448 52   2.708  0.1432
 F1.F2 - F3.F4      0.01241 0.0198 52   0.627  0.9983
 F1.F2 - F5.F6     -0.05619 0.0517 52  -1.086  0.9570
 F1.F2 - F7.F8     -0.11309 0.0538 52  -2.103  0.4267
 F1.F2 - FC1.FC2    0.03115 0.0138 52   2.259  0.3352
 F3.F4 - F5.F6     -0.06861 0.0522 52  -1.314  0.8894
 F3.F4 - F7.F8     -0.12550 0.0532 52  -2.359  0.2831
 F3.F4 - FC1.FC2    0.01874 0.0208 52   0.899  0.9849
 F5.F6 - F7.F8     -0.05689 0.0274 52  -2.075  0.4444
 F5.F6 - FC1.FC2    0.08735 0.0495 52   1.764  0.6462
 F7.F8 - FC1.FC2    0.14424 0.0545 52   2.644  0.1637

Results are averaged over the levels of: Group, Sex, hemisphere 
P value adjustment: tukey method for comparing a family of 8 estimates 

 Group   electrode_pair emmean    SE df lower.CL upper.CL
 Control Fp1.Fp2          9.84 0.188 52     9.46     10.2
 low-SES Fp1.Fp2         10.19 0.178 52     9.83     10.5
 Control AF3.AF4          9.81 0.200 52     9.40     10.2
 low-SES AF3.AF4         10.15 0.189 52     9.77     10.5
 Control AF7.AF8          9.81 0.194 52     9.42     10.2
 low-SES AF7.AF8         10.20 0.184 52     9.83     10.6
 Control F1.F2            9.73 0.192 52     9.34     10.1
 low-SES F1.F2           10.11 0.181 52     9.75     10.5
 Control F3.F4            9.72 0.193 52     9.33     10.1
 low-SES F3.F4           10.09 0.183 52     9.73     10.5
 Control F5.F6            9.83 0.198 52     9.44     10.2
 low-SES F5.F6           10.12 0.187 52     9.74     10.5
 Control F7.F8            9.90 0.188 52     9.53     10.3
 low-SES F7.F8           10.16 0.178 52     9.80     10.5
 Control FC1.FC2          9.69 0.193 52     9.30     10.1
 low-SES FC1.FC2         10.09 0.182 52     9.72     10.5

Results are averaged over the levels of: Sex, hemisphere 
Confidence level used: 0.95 
 Sex    electrode_pair emmean    SE df lower.CL upper.CL
 female Fp1.Fp2          9.91 0.188 52     9.54     10.3
 male   Fp1.Fp2         10.11 0.178 52     9.76     10.5
 female AF3.AF4          9.89 0.200 52     9.49     10.3
 male   AF3.AF4         10.07 0.189 52     9.69     10.4
 female AF7.AF8          9.91 0.194 52     9.52     10.3
 male   AF7.AF8         10.11 0.184 52     9.74     10.5
 female F1.F2            9.78 0.192 52     9.39     10.2
 male   F1.F2           10.06 0.181 52     9.70     10.4
 female F3.F4            9.77 0.193 52     9.39     10.2
 male   F3.F4           10.04 0.183 52     9.67     10.4
 female F5.F6            9.87 0.198 52     9.47     10.3
 male   F5.F6           10.08 0.187 52     9.71     10.5
 female F7.F8            9.92 0.188 52     9.55     10.3
 male   F7.F8           10.14 0.178 52     9.78     10.5
 female FC1.FC2          9.75 0.193 52     9.36     10.1
 male   FC1.FC2         10.03 0.182 52     9.66     10.4

Results are averaged over the levels of: Group, hemisphere 
Confidence level used: 0.95 
 Group   Sex    electrode_pair emmean    SE df lower.CL upper.CL
 Control female Fp1.Fp2          9.62 0.298 52     9.02     10.2
 low-SES female Fp1.Fp2         10.21 0.229 52     9.75     10.7
 Control male   Fp1.Fp2         10.06 0.229 52     9.60     10.5
 low-SES male   Fp1.Fp2         10.17 0.272 52     9.63     10.7
 Control female AF3.AF4          9.63 0.317 52     9.00     10.3
 low-SES female AF3.AF4         10.14 0.243 52     9.66     10.6
 Control male   AF3.AF4          9.98 0.243 52     9.49     10.5
 low-SES male   AF3.AF4         10.15 0.290 52     9.57     10.7
 Control female AF7.AF8          9.61 0.308 52     8.99     10.2
 low-SES female AF7.AF8         10.22 0.236 52     9.74     10.7
 Control male   AF7.AF8         10.02 0.236 52     9.55     10.5
 low-SES male   AF7.AF8         10.19 0.281 52     9.62     10.8
 Control female F1.F2            9.49 0.304 52     8.88     10.1
 low-SES female F1.F2           10.06 0.233 52     9.59     10.5
 Control male   F1.F2            9.96 0.233 52     9.50     10.4
 low-SES male   F1.F2           10.16 0.278 52     9.60     10.7
 Control female F3.F4            9.49 0.307 52     8.87     10.1
 low-SES female F3.F4           10.06 0.235 52     9.59     10.5
 Control male   F3.F4            9.95 0.235 52     9.47     10.4
 low-SES male   F3.F4           10.13 0.280 52     9.57     10.7
 Control female F5.F6            9.66 0.314 52     9.03     10.3
 low-SES female F5.F6           10.08 0.241 52     9.59     10.6
 Control male   F5.F6           10.01 0.241 52     9.53     10.5
 low-SES male   F5.F6           10.16 0.286 52     9.58     10.7
 Control female F7.F8            9.71 0.299 52     9.12     10.3
 low-SES female F7.F8           10.13 0.229 52     9.67     10.6
 Control male   F7.F8           10.09 0.229 52     9.63     10.6
 low-SES male   F7.F8           10.19 0.273 52     9.64     10.7
 Control female FC1.FC2          9.48 0.306 52     8.87     10.1
 low-SES female FC1.FC2         10.02 0.234 52     9.55     10.5
 Control male   FC1.FC2          9.89 0.234 52     9.42     10.4
 low-SES male   FC1.FC2         10.16 0.279 52     9.60     10.7

Results are averaged over the levels of: hemisphere 
Confidence level used: 0.95 
 hemisphere electrode_pair emmean    SE df lower.CL upper.CL
 Left       Fp1.Fp2         10.00 0.135 52     9.73     10.3
 Right      Fp1.Fp2         10.03 0.133 52     9.76     10.3
 Left       AF3.AF4          9.96 0.137 52     9.69     10.2
 Right      AF3.AF4          9.99 0.140 52     9.71     10.3
 Left       AF7.AF8         10.00 0.137 52     9.73     10.3
 Right      AF7.AF8         10.01 0.133 52     9.75     10.3
 Left       F1.F2            9.90 0.136 52     9.62     10.2
 Right      F1.F2            9.94 0.131 52     9.68     10.2
 Left       F3.F4            9.88 0.139 52     9.60     10.2
 Right      F3.F4            9.93 0.131 52     9.67     10.2
 Left       F5.F6           10.00 0.143 52     9.71     10.3
 Right      F5.F6            9.95 0.136 52     9.67     10.2
 Left       F7.F8           10.04 0.136 52     9.77     10.3
 Right      F7.F8           10.02 0.134 52     9.75     10.3
 Left       FC1.FC2          9.87 0.137 52     9.59     10.1
 Right      FC1.FC2          9.91 0.132 52     9.64     10.2

Results are averaged over the levels of: Group, Sex 
Confidence level used: 0.95 
 Group   hemisphere electrode_pair emmean    SE df lower.CL upper.CL
 Control Left       Fp1.Fp2          9.83 0.197 52     9.44     10.2
 low-SES Left       Fp1.Fp2         10.17 0.186 52     9.79     10.5
 Control Right      Fp1.Fp2          9.84 0.193 52     9.46     10.2
 low-SES Right      Fp1.Fp2         10.22 0.182 52     9.85     10.6
 Control Left       AF3.AF4          9.78 0.199 52     9.38     10.2
 low-SES Left       AF3.AF4         10.14 0.188 52     9.76     10.5
 Control Right      AF3.AF4          9.83 0.204 52     9.42     10.2
 low-SES Right      AF3.AF4         10.16 0.193 52     9.77     10.5
 Control Left       AF7.AF8          9.82 0.200 52     9.42     10.2
 low-SES Left       AF7.AF8         10.19 0.189 52     9.81     10.6
 Control Right      AF7.AF8          9.81 0.193 52     9.42     10.2
 low-SES Right      AF7.AF8         10.22 0.183 52     9.85     10.6
 Control Left       F1.F2            9.74 0.198 52     9.34     10.1
 low-SES Left       F1.F2           10.05 0.187 52     9.68     10.4
 Control Right      F1.F2            9.72 0.191 52     9.33     10.1
 low-SES Right      F1.F2           10.16 0.181 52     9.80     10.5
 Control Left       F3.F4            9.69 0.202 52     9.29     10.1
 low-SES Left       F3.F4           10.06 0.191 52     9.68     10.4
 Control Right      F3.F4            9.74 0.191 52     9.36     10.1
 low-SES Right      F3.F4           10.13 0.180 52     9.76     10.5
 Control Left       F5.F6            9.83 0.208 52     9.42     10.3
 low-SES Left       F5.F6           10.17 0.197 52     9.77     10.6
 Control Right      F5.F6            9.83 0.198 52     9.43     10.2
 low-SES Right      F5.F6           10.06 0.187 52     9.69     10.4
 Control Left       F7.F8            9.90 0.198 52     9.51     10.3
 low-SES Left       F7.F8           10.18 0.187 52     9.81     10.6
 Control Right      F7.F8            9.90 0.195 52     9.51     10.3
 low-SES Right      F7.F8           10.14 0.184 52     9.77     10.5
 Control Left       FC1.FC2          9.69 0.199 52     9.29     10.1
 low-SES Left       FC1.FC2         10.05 0.188 52     9.67     10.4
 Control Right      FC1.FC2          9.69 0.191 52     9.30     10.1
 low-SES Right      FC1.FC2         10.13 0.181 52     9.77     10.5

Results are averaged over the levels of: Sex 
Confidence level used: 0.95 
 Sex    hemisphere electrode_pair emmean    SE df lower.CL upper.CL
 female Left       Fp1.Fp2          9.87 0.197 52     9.47     10.3
 male   Left       Fp1.Fp2         10.13 0.186 52     9.76     10.5
 female Right      Fp1.Fp2          9.96 0.193 52     9.57     10.3
 male   Right      Fp1.Fp2         10.10 0.182 52     9.73     10.5
 female Left       AF3.AF4          9.87 0.199 52     9.48     10.3
 male   Left       AF3.AF4         10.05 0.188 52     9.67     10.4
 female Right      AF3.AF4          9.90 0.204 52     9.49     10.3
 male   Right      AF3.AF4         10.08 0.193 52     9.69     10.5
 female Left       AF7.AF8          9.90 0.200 52     9.50     10.3
 male   Left       AF7.AF8         10.11 0.189 52     9.73     10.5
 female Right      AF7.AF8          9.92 0.193 52     9.54     10.3
 male   Right      AF7.AF8         10.10 0.183 52     9.74     10.5
 female Left       F1.F2            9.73 0.198 52     9.33     10.1
 male   Left       F1.F2           10.07 0.187 52     9.69     10.4
 female Right      F1.F2            9.83 0.191 52     9.44     10.2
 male   Right      F1.F2           10.05 0.181 52     9.69     10.4
 female Left       F3.F4            9.74 0.202 52     9.33     10.1
 male   Left       F3.F4           10.02 0.191 52     9.64     10.4
 female Right      F3.F4            9.81 0.191 52     9.43     10.2
 male   Right      F3.F4           10.06 0.180 52     9.70     10.4
 female Left       F5.F6            9.92 0.208 52     9.50     10.3
 male   Left       F5.F6           10.09 0.197 52     9.69     10.5
 female Right      F5.F6            9.82 0.198 52     9.42     10.2
 male   Right      F5.F6           10.08 0.187 52     9.70     10.5
 female Left       F7.F8            9.95 0.198 52     9.56     10.3
 male   Left       F7.F8           10.13 0.187 52     9.76     10.5
 female Right      F7.F8            9.89 0.195 52     9.50     10.3
 male   Right      F7.F8           10.14 0.184 52     9.78     10.5
 female Left       FC1.FC2          9.72 0.199 52     9.32     10.1
 male   Left       FC1.FC2         10.01 0.188 52     9.64     10.4
 female Right      FC1.FC2          9.78 0.191 52     9.39     10.2
 male   Right      FC1.FC2         10.04 0.181 52     9.67     10.4

Results are averaged over the levels of: Group 
Confidence level used: 0.95 
 Group   Sex    hemisphere electrode_pair emmean    SE df lower.CL upper.CL
 Control female Left       Fp1.Fp2          9.54 0.312 52     8.91     10.2
 low-SES female Left       Fp1.Fp2         10.19 0.239 52     9.71     10.7
 Control male   Left       Fp1.Fp2         10.12 0.239 52     9.64     10.6
 low-SES male   Left       Fp1.Fp2         10.14 0.285 52     9.57     10.7
 Control female Right      Fp1.Fp2          9.70 0.306 52     9.08     10.3
 low-SES female Right      Fp1.Fp2         10.23 0.234 52     9.75     10.7
 Control male   Right      Fp1.Fp2          9.99 0.234 52     9.52     10.5
 low-SES male   Right      Fp1.Fp2         10.21 0.279 52     9.65     10.8
 Control female Left       AF3.AF4          9.60 0.315 52     8.96     10.2
 low-SES female Left       AF3.AF4         10.15 0.242 52     9.67     10.6
 Control male   Left       AF3.AF4          9.97 0.242 52     9.48     10.5
 low-SES male   Left       AF3.AF4         10.13 0.288 52     9.55     10.7
 Control female Right      AF3.AF4          9.67 0.323 52     9.02     10.3
 low-SES female Right      AF3.AF4         10.14 0.248 52     9.64     10.6
 Control male   Right      AF3.AF4          9.99 0.248 52     9.49     10.5
 low-SES male   Right      AF3.AF4         10.18 0.295 52     9.58     10.8
 Control female Left       AF7.AF8          9.60 0.317 52     8.96     10.2
 low-SES female Left       AF7.AF8         10.20 0.243 52     9.71     10.7
 Control male   Left       AF7.AF8         10.04 0.243 52     9.56     10.5
 low-SES male   Left       AF7.AF8         10.17 0.289 52     9.59     10.8
 Control female Right      AF7.AF8          9.61 0.306 52     9.00     10.2
 low-SES female Right      AF7.AF8         10.24 0.235 52     9.77     10.7
 Control male   Right      AF7.AF8         10.00 0.235 52     9.53     10.5
 low-SES male   Right      AF7.AF8         10.20 0.280 52     9.64     10.8
 Control female Left       F1.F2            9.49 0.314 52     8.86     10.1
 low-SES female Left       F1.F2            9.97 0.241 52     9.49     10.5
 Control male   Left       F1.F2            9.99 0.241 52     9.51     10.5
 low-SES male   Left       F1.F2           10.14 0.287 52     9.56     10.7
 Control female Right      F1.F2            9.50 0.303 52     8.89     10.1
 low-SES female Right      F1.F2           10.15 0.232 52     9.69     10.6
 Control male   Right      F1.F2            9.93 0.232 52     9.47     10.4
 low-SES male   Right      F1.F2           10.17 0.277 52     9.62     10.7
 Control female Left       F3.F4            9.46 0.321 52     8.81     10.1
 low-SES female Left       F3.F4           10.01 0.246 52     9.52     10.5
 Control male   Left       F3.F4            9.93 0.246 52     9.43     10.4
 low-SES male   Left       F3.F4           10.11 0.293 52     9.53     10.7
 Control female Right      F3.F4            9.52 0.302 52     8.91     10.1
 low-SES female Right      F3.F4           10.10 0.232 52     9.64     10.6
 Control male   Right      F3.F4            9.97 0.232 52     9.50     10.4
 low-SES male   Right      F3.F4           10.15 0.276 52     9.60     10.7
 Control female Left       F5.F6            9.64 0.330 52     8.97     10.3
 low-SES female Left       F5.F6           10.20 0.253 52     9.69     10.7
 Control male   Left       F5.F6           10.03 0.253 52     9.53     10.5
 low-SES male   Left       F5.F6           10.14 0.301 52     9.54     10.7
 Control female Right      F5.F6            9.68 0.314 52     9.05     10.3
 low-SES female Right      F5.F6            9.95 0.241 52     9.47     10.4
 Control male   Right      F5.F6            9.98 0.241 52     9.50     10.5
 low-SES male   Right      F5.F6           10.18 0.287 52     9.60     10.8
 Control female Left       F7.F8            9.69 0.313 52     9.06     10.3
 low-SES female Left       F7.F8           10.22 0.240 52     9.73     10.7
 Control male   Left       F7.F8           10.12 0.240 52     9.63     10.6
 low-SES male   Left       F7.F8           10.15 0.286 52     9.58     10.7
 Control female Right      F7.F8            9.74 0.309 52     9.12     10.4
 low-SES female Right      F7.F8           10.05 0.237 52     9.57     10.5
 Control male   Right      F7.F8           10.06 0.237 52     9.59     10.5
 low-SES male   Right      F7.F8           10.23 0.282 52     9.66     10.8
 Control female Left       FC1.FC2          9.47 0.316 52     8.83     10.1
 low-SES female Left       FC1.FC2          9.97 0.242 52     9.49     10.5
 Control male   Left       FC1.FC2          9.90 0.242 52     9.42     10.4
 low-SES male   Left       FC1.FC2         10.12 0.288 52     9.54     10.7
 Control female Right      FC1.FC2          9.49 0.304 52     8.88     10.1
 low-SES female Right      FC1.FC2         10.07 0.233 52     9.60     10.5
 Control male   Right      FC1.FC2          9.88 0.233 52     9.41     10.3
 low-SES male   Right      FC1.FC2         10.20 0.277 52     9.64     10.8

Confidence level used: 0.95 

5.3 Alpha Bandwidth

options(width = 100)
alpha_bwd_rep_anova = aov_ez("Subject", "Width", alpha_power_data, between = c("Group", "Sex"), within = c("hemisphere", "electrode_pair"))
G2;H2;Warningh: Missing values for 21 ID(s), which were removed before analysis:
1, 4, 7, 16, 17, 18, 20, 28, 34, 42, ... [showing first 10 only]
Below the first few rows (in wide format) of the removed cases with missing data.
  g
G3;Contrasts set to contr.sum for the following variables: Group, Sex
g
mytable <- xtabs(~ Group + Sex, data = alpha_bwd_rep_anova$data$long) / length(levels(alpha_bwd_rep_anova$data$long$electrode_pair)) / length(levels(alpha_bwd_rep_anova$data$long$hemisphere))
ftable(addmargins(mytable))
        Sex female male Sum
Group                      
Control         10   17  27
low-SES         17   12  29
Sum             27   29  56
alpha_bwd_afex_plot <-
  afex_plot(
    alpha_bwd_rep_anova,
    x = "Group",
    trace = "Sex",
    panel = "hemisphere",
    error = "between",
    error_arg = list(width = .1),
    dodge = .3,
    data_arg  = list(
      position = 
        position_jitterdodge(
          jitter.width  = .1, 
          jitter.height = .1, 
          dodge.width   = .3  ## needs to be same as dodge
        )),
    mapping = c("color"),
    point_arg = list(size = 4)
  )
suppressWarnings(print(alpha_bwd_afex_plot))

nice(alpha_bwd_rep_anova)
Anova Table (Type 3 tests)

Response: Width
                                Effect           df  MSE         F   ges p.value
1                                Group        1, 52 6.04      0.01 <.001    .921
2                                  Sex        1, 52 6.04      0.47  .006    .496
3                            Group:Sex        1, 52 6.04      0.48  .006    .493
4                           hemisphere        1, 52 0.33      1.45  .001    .234
5                     Group:hemisphere        1, 52 0.33      0.25 <.001    .620
6                       Sex:hemisphere        1, 52 0.33      0.07 <.001    .786
7                 Group:Sex:hemisphere        1, 52 0.33      0.11 <.001    .737
8                       electrode_pair 2.74, 142.29 0.75 22.31 ***  .088   <.001
9                 Group:electrode_pair 2.74, 142.29 0.75      0.87  .004    .451
10                  Sex:electrode_pair 2.74, 142.29 0.75      1.36  .006    .257
11            Group:Sex:electrode_pair 2.74, 142.29 0.75      1.01  .004    .386
12           hemisphere:electrode_pair 4.56, 236.88 0.15      0.94  .001    .450
13     Group:hemisphere:electrode_pair 4.56, 236.88 0.15      0.87  .001    .496
14       Sex:hemisphere:electrode_pair 4.56, 236.88 0.15      1.03  .002    .399
15 Group:Sex:hemisphere:electrode_pair 4.56, 236.88 0.15      0.95  .001    .441
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘+’ 0.1 ‘ ’ 1

Sphericity correction method: GG 
a_posteriori(alpha_bwd_rep_anova)
G3;NOTE: Results may be misleading due to involvement in interactions
g
 Group   emmean    SE df lower.CL upper.CL
 Control   2.25 0.122 52     2.01      2.5
 low-SES   2.27 0.116 52     2.04      2.5

Results are averaged over the levels of: Sex, electrode_pair, hemisphere 
Confidence level used: 0.95 
G3;NOTE: Results may be misleading due to involvement in interactions
g
 Sex    emmean    SE df lower.CL upper.CL
 female   2.32 0.122 52     2.07     2.56
 male     2.20 0.116 52     1.97     2.44

Results are averaged over the levels of: Group, electrode_pair, hemisphere 
Confidence level used: 0.95 
 Group   Sex    emmean    SE df lower.CL upper.CL
 Control female   2.25 0.194 52     1.86     2.64
 low-SES female   2.39 0.149 52     2.09     2.68
 Control male     2.25 0.149 52     1.95     2.55
 low-SES male     2.15 0.177 52     1.80     2.51

Results are averaged over the levels of: electrode_pair, hemisphere 
Confidence level used: 0.95 
 hemisphere emmean     SE df lower.CL upper.CL
 Left         2.24 0.0862 52     2.06     2.41
 Right        2.28 0.0869 52     2.11     2.46

Results are averaged over the levels of: Group, Sex, electrode_pair 
Confidence level used: 0.95 
 Group   hemisphere emmean    SE df lower.CL upper.CL
 Control Left         2.22 0.125 52     1.97     2.47
 low-SES Left         2.26 0.118 52     2.02     2.49
 Control Right        2.29 0.126 52     2.03     2.54
 low-SES Right        2.28 0.119 52     2.04     2.52

Results are averaged over the levels of: Sex, electrode_pair 
Confidence level used: 0.95 
 Sex    hemisphere emmean    SE df lower.CL upper.CL
 female Left         2.30 0.125 52     2.05     2.55
 male   Left         2.17 0.118 52     1.94     2.41
 female Right        2.34 0.126 52     2.08     2.59
 male   Right        2.23 0.119 52     1.99     2.47

Results are averaged over the levels of: Group, electrode_pair 
Confidence level used: 0.95 
 Group   Sex    hemisphere emmean    SE df lower.CL upper.CL
 Control female Left         2.22 0.199 52     1.82     2.62
 low-SES female Left         2.38 0.152 52     2.08     2.69
 Control male   Left         2.22 0.152 52     1.91     2.53
 low-SES male   Left         2.13 0.181 52     1.76     2.49
 Control female Right        2.29 0.200 52     1.88     2.69
 low-SES female Right        2.39 0.154 52     2.08     2.70
 Control male   Right        2.29 0.154 52     1.98     2.59
 low-SES male   Right        2.18 0.183 52     1.81     2.55

Results are averaged over the levels of: electrode_pair 
Confidence level used: 0.95 
________________________________________________________________________________
$emmeans
 electrode_pair emmean     SE df lower.CL upper.CL
 Fp1.Fp2          2.04 0.0791 52     1.88     2.20
 AF3.AF4          2.18 0.0935 52     1.99     2.37
 AF7.AF8          2.04 0.0666 52     1.91     2.18
 F1.F2            2.58 0.1170 52     2.35     2.82
 F3.F4            2.38 0.1190 52     2.14     2.62
 F5.F6            2.15 0.0839 52     1.98     2.32
 F7.F8            2.06 0.0731 52     1.91     2.21
 FC1.FC2          2.65 0.1280 52     2.40     2.91

Results are averaged over the levels of: Group, Sex, hemisphere 
Confidence level used: 0.95 

$contrasts
 contrast          estimate     SE df t.ratio p.value
 Fp1.Fp2 - AF3.AF4 -0.13921 0.0628 52  -2.216  0.3594
 Fp1.Fp2 - AF7.AF8 -0.00426 0.0385 52  -0.111  1.0000
 Fp1.Fp2 - F1.F2   -0.54291 0.0863 52  -6.289  <.0001
 Fp1.Fp2 - F3.F4   -0.34192 0.0756 52  -4.521  0.0009
 Fp1.Fp2 - F5.F6   -0.11099 0.0555 52  -1.999  0.4927
 Fp1.Fp2 - F7.F8   -0.02021 0.0583 52  -0.347  1.0000
 Fp1.Fp2 - FC1.FC2 -0.61625 0.0928 52  -6.644  <.0001
 AF3.AF4 - AF7.AF8  0.13495 0.0707 52   1.910  0.5505
 AF3.AF4 - F1.F2   -0.40370 0.0714 52  -5.657  <.0001
 AF3.AF4 - F3.F4   -0.20270 0.0572 52  -3.544  0.0177
 AF3.AF4 - F5.F6    0.02823 0.0732 52   0.386  0.9999
 AF3.AF4 - F7.F8    0.11900 0.0779 52   1.527  0.7895
 AF3.AF4 - FC1.FC2 -0.47703 0.0766 52  -6.224  <.0001
 AF7.AF8 - F1.F2   -0.53865 0.0955 52  -5.641  <.0001
 AF7.AF8 - F3.F4   -0.33766 0.0878 52  -3.848  0.0074
 AF7.AF8 - F5.F6   -0.10673 0.0588 52  -1.814  0.6138
 AF7.AF8 - F7.F8   -0.01595 0.0555 52  -0.288  1.0000
 AF7.AF8 - FC1.FC2 -0.61199 0.1040 52  -5.880  <.0001
 F1.F2 - F3.F4      0.20100 0.0605 52   3.321  0.0327
 F1.F2 - F5.F6      0.43193 0.0849 52   5.088  0.0001
 F1.F2 - F7.F8      0.52270 0.0926 52   5.644  <.0001
 F1.F2 - FC1.FC2   -0.07333 0.0380 52  -1.928  0.5386
 F3.F4 - F5.F6      0.23093 0.0719 52   3.213  0.0434
 F3.F4 - F7.F8      0.32171 0.0852 52   3.775  0.0091
 F3.F4 - FC1.FC2   -0.27433 0.0553 52  -4.957  0.0002
 F5.F6 - F7.F8      0.09078 0.0386 52   2.353  0.2861
 F5.F6 - FC1.FC2   -0.50526 0.0866 52  -5.832  <.0001
 F7.F8 - FC1.FC2   -0.59604 0.1000 52  -5.948  <.0001

Results are averaged over the levels of: Group, Sex, hemisphere 
P value adjustment: tukey method for comparing a family of 8 estimates 

 Group   electrode_pair emmean     SE df lower.CL upper.CL
 Control Fp1.Fp2          2.04 0.1150 52     1.81     2.27
 low-SES Fp1.Fp2          2.03 0.1090 52     1.82     2.25
 Control AF3.AF4          2.26 0.1360 52     1.99     2.54
 low-SES AF3.AF4          2.09 0.1290 52     1.83     2.35
 Control AF7.AF8          2.05 0.0968 52     1.85     2.24
 low-SES AF7.AF8          2.04 0.0915 52     1.86     2.22
 Control F1.F2            2.60 0.1710 52     2.26     2.94
 low-SES F1.F2            2.56 0.1610 52     2.24     2.89
 Control F3.F4            2.36 0.1720 52     2.02     2.71
 low-SES F3.F4            2.40 0.1630 52     2.07     2.73
 Control F5.F6            2.08 0.1220 52     1.83     2.32
 low-SES F5.F6            2.22 0.1150 52     1.99     2.46
 Control F7.F8            2.02 0.1060 52     1.80     2.23
 low-SES F7.F8            2.10 0.1000 52     1.90     2.30
 Control FC1.FC2          2.61 0.1860 52     2.24     2.98
 low-SES FC1.FC2          2.70 0.1760 52     2.35     3.05

Results are averaged over the levels of: Sex, hemisphere 
Confidence level used: 0.95 
 Sex    electrode_pair emmean     SE df lower.CL upper.CL
 female Fp1.Fp2          2.05 0.1150 52     1.82     2.28
 male   Fp1.Fp2          2.03 0.1090 52     1.81     2.25
 female AF3.AF4          2.23 0.1360 52     1.95     2.50
 male   AF3.AF4          2.13 0.1290 52     1.87     2.39
 female AF7.AF8          2.07 0.0968 52     1.87     2.26
 male   AF7.AF8          2.02 0.0915 52     1.83     2.20
 female F1.F2            2.68 0.1710 52     2.34     3.02
 male   F1.F2            2.48 0.1610 52     2.16     2.81
 female F3.F4            2.50 0.1720 52     2.15     2.84
 male   F3.F4            2.26 0.1630 52     1.94     2.59
 female F5.F6            2.18 0.1220 52     1.94     2.43
 male   F5.F6            2.12 0.1150 52     1.88     2.35
 female F7.F8            2.03 0.1060 52     1.82     2.25
 male   F7.F8            2.09 0.1000 52     1.88     2.29
 female FC1.FC2          2.81 0.1860 52     2.44     3.18
 male   FC1.FC2          2.50 0.1760 52     2.15     2.85

Results are averaged over the levels of: Group, hemisphere 
Confidence level used: 0.95 
 Group   Sex    electrode_pair emmean    SE df lower.CL upper.CL
 Control female Fp1.Fp2          2.02 0.182 52     1.65     2.38
 low-SES female Fp1.Fp2          2.08 0.140 52     1.80     2.36
 Control male   Fp1.Fp2          2.07 0.140 52     1.79     2.35
 low-SES male   Fp1.Fp2          1.99 0.167 52     1.66     2.32
 Control female AF3.AF4          2.35 0.216 52     1.92     2.78
 low-SES female AF3.AF4          2.10 0.165 52     1.77     2.44
 Control male   AF3.AF4          2.18 0.165 52     1.85     2.51
 low-SES male   AF3.AF4          2.08 0.197 52     1.68     2.47
 Control female AF7.AF8          2.00 0.154 52     1.69     2.31
 low-SES female AF7.AF8          2.14 0.118 52     1.90     2.37
 Control male   AF7.AF8          2.10 0.118 52     1.86     2.33
 low-SES male   AF7.AF8          1.94 0.140 52     1.66     2.22
 Control female F1.F2            2.62 0.271 52     2.08     3.16
 low-SES female F1.F2            2.74 0.208 52     2.32     3.16
 Control male   F1.F2            2.58 0.208 52     2.16     2.99
 low-SES male   F1.F2            2.39 0.247 52     1.89     2.89
 Control female F3.F4            2.45 0.273 52     1.90     3.00
 low-SES female F3.F4            2.54 0.210 52     2.12     2.97
 Control male   F3.F4            2.27 0.210 52     1.85     2.69
 low-SES male   F3.F4            2.25 0.250 52     1.75     2.76
 Control female F5.F6            1.96 0.194 52     1.57     2.35
 low-SES female F5.F6            2.40 0.148 52     2.11     2.70
 Control male   F5.F6            2.19 0.148 52     1.89     2.49
 low-SES male   F5.F6            2.04 0.177 52     1.69     2.40
 Control female F7.F8            1.93 0.169 52     1.59     2.27
 low-SES female F7.F8            2.13 0.129 52     1.87     2.39
 Control male   F7.F8            2.10 0.129 52     1.84     2.36
 low-SES male   F7.F8            2.07 0.154 52     1.76     2.38
 Control female FC1.FC2          2.68 0.295 52     2.09     3.28
 low-SES female FC1.FC2          2.94 0.226 52     2.48     3.39
 Control male   FC1.FC2          2.54 0.226 52     2.09     2.99
 low-SES male   FC1.FC2          2.46 0.269 52     1.92     3.00

Results are averaged over the levels of: hemisphere 
Confidence level used: 0.95 
 hemisphere electrode_pair emmean     SE df lower.CL upper.CL
 Left       Fp1.Fp2          2.02 0.0871 52     1.84     2.19
 Right      Fp1.Fp2          2.06 0.0826 52     1.89     2.23
 Left       AF3.AF4          2.19 0.1000 52     1.99     2.39
 Right      AF3.AF4          2.16 0.0937 52     1.98     2.35
 Left       AF7.AF8          2.02 0.0774 52     1.86     2.17
 Right      AF7.AF8          2.07 0.0748 52     1.92     2.22
 Left       F1.F2            2.59 0.1240 52     2.34     2.84
 Right      F1.F2            2.57 0.1240 52     2.32     2.82
 Left       F3.F4            2.36 0.1180 52     2.12     2.60
 Right      F3.F4            2.40 0.1250 52     2.15     2.65
 Left       F5.F6            2.07 0.0873 52     1.90     2.25
 Right      F5.F6            2.23 0.1020 52     2.02     2.43
 Left       F7.F8            2.01 0.0847 52     1.84     2.18
 Right      F7.F8            2.11 0.0827 52     1.94     2.27
 Left       FC1.FC2          2.64 0.1330 52     2.37     2.90
 Right      FC1.FC2          2.67 0.1300 52     2.41     2.93

Results are averaged over the levels of: Group, Sex 
Confidence level used: 0.95 
 Group   hemisphere electrode_pair emmean    SE df lower.CL upper.CL
 Control Left       Fp1.Fp2          1.99 0.126 52     1.74     2.24
 low-SES Left       Fp1.Fp2          2.04 0.120 52     1.80     2.28
 Control Right      Fp1.Fp2          2.10 0.120 52     1.86     2.34
 low-SES Right      Fp1.Fp2          2.02 0.113 52     1.80     2.25
 Control Left       AF3.AF4          2.27 0.146 52     1.98     2.57
 low-SES Left       AF3.AF4          2.11 0.138 52     1.83     2.39
 Control Right      AF3.AF4          2.25 0.136 52     1.98     2.53
 low-SES Right      AF3.AF4          2.07 0.129 52     1.82     2.33
 Control Left       AF7.AF8          1.98 0.113 52     1.76     2.21
 low-SES Left       AF7.AF8          2.05 0.106 52     1.83     2.26
 Control Right      AF7.AF8          2.11 0.109 52     1.89     2.33
 low-SES Right      AF7.AF8          2.03 0.103 52     1.82     2.24
 Control Left       F1.F2            2.61 0.180 52     2.25     2.97
 low-SES Left       F1.F2            2.57 0.170 52     2.23     2.91
 Control Right      F1.F2            2.58 0.180 52     2.22     2.94
 low-SES Right      F1.F2            2.56 0.170 52     2.22     2.90
 Control Left       F3.F4            2.30 0.172 52     1.95     2.64
 low-SES Left       F3.F4            2.42 0.163 52     2.09     2.75
 Control Right      F3.F4            2.43 0.181 52     2.06     2.79
 low-SES Right      F3.F4            2.38 0.171 52     2.04     2.72
 Control Left       F5.F6            1.97 0.127 52     1.72     2.23
 low-SES Left       F5.F6            2.17 0.120 52     1.93     2.41
 Control Right      F5.F6            2.18 0.148 52     1.88     2.48
 low-SES Right      F5.F6            2.28 0.140 52     2.00     2.56
 Control Left       F7.F8            1.99 0.123 52     1.74     2.23
 low-SES Left       F7.F8            2.04 0.116 52     1.81     2.27
 Control Right      F7.F8            2.05 0.120 52     1.81     2.29
 low-SES Right      F7.F8            2.16 0.114 52     1.94     2.39
 Control Left       FC1.FC2          2.63 0.193 52     2.25     3.02
 low-SES Left       FC1.FC2          2.64 0.182 52     2.28     3.01
 Control Right      FC1.FC2          2.59 0.189 52     2.21     2.97
 low-SES Right      FC1.FC2          2.75 0.179 52     2.40     3.11

Results are averaged over the levels of: Sex 
Confidence level used: 0.95 
 Sex    hemisphere electrode_pair emmean    SE df lower.CL upper.CL
 female Left       Fp1.Fp2          2.02 0.126 52     1.77     2.28
 male   Left       Fp1.Fp2          2.01 0.120 52     1.77     2.25
 female Right      Fp1.Fp2          2.07 0.120 52     1.83     2.31
 male   Right      Fp1.Fp2          2.05 0.113 52     1.82     2.28
 female Left       AF3.AF4          2.24 0.146 52     1.95     2.53
 male   Left       AF3.AF4          2.14 0.138 52     1.87     2.42
 female Right      AF3.AF4          2.21 0.136 52     1.94     2.49
 male   Right      AF3.AF4          2.11 0.129 52     1.86     2.37
 female Left       AF7.AF8          2.07 0.113 52     1.84     2.30
 male   Left       AF7.AF8          1.96 0.106 52     1.75     2.17
 female Right      AF7.AF8          2.07 0.109 52     1.85     2.28
 male   Right      AF7.AF8          2.07 0.103 52     1.87     2.28
 female Left       F1.F2            2.66 0.180 52     2.30     3.02
 male   Left       F1.F2            2.52 0.170 52     2.18     2.87
 female Right      F1.F2            2.70 0.180 52     2.34     3.06
 male   Right      F1.F2            2.44 0.170 52     2.10     2.78
 female Left       F3.F4            2.46 0.172 52     2.12     2.81
 male   Left       F3.F4            2.25 0.163 52     1.93     2.58
 female Right      F3.F4            2.53 0.181 52     2.17     2.90
 male   Right      F3.F4            2.27 0.171 52     1.93     2.62
 female Left       F5.F6            2.15 0.127 52     1.90     2.41
 male   Left       F5.F6            1.99 0.120 52     1.75     2.23
 female Right      F5.F6            2.22 0.148 52     1.92     2.51
 male   Right      F5.F6            2.24 0.140 52     1.96     2.52
 female Left       F7.F8            2.03 0.123 52     1.78     2.28
 male   Left       F7.F8            2.00 0.116 52     1.76     2.23
 female Right      F7.F8            2.03 0.120 52     1.79     2.28
 male   Right      F7.F8            2.18 0.114 52     1.95     2.40
 female Left       FC1.FC2          2.77 0.193 52     2.38     3.15
 male   Left       FC1.FC2          2.51 0.182 52     2.14     2.88
 female Right      FC1.FC2          2.86 0.189 52     2.48     3.24
 male   Right      FC1.FC2          2.49 0.179 52     2.13     2.85

Results are averaged over the levels of: Group 
Confidence level used: 0.95 
 Group   Sex    hemisphere electrode_pair emmean    SE df lower.CL upper.CL
 Control female Left       Fp1.Fp2          1.96 0.201 52     1.55     2.36
 low-SES female Left       Fp1.Fp2          2.09 0.154 52     1.78     2.40
 Control male   Left       Fp1.Fp2          2.02 0.154 52     1.71     2.33
 low-SES male   Left       Fp1.Fp2          2.00 0.183 52     1.63     2.37
 Control female Right      Fp1.Fp2          2.07 0.190 52     1.69     2.46
 low-SES female Right      Fp1.Fp2          2.07 0.146 52     1.77     2.36
 Control male   Right      Fp1.Fp2          2.12 0.146 52     1.82     2.41
 low-SES male   Right      Fp1.Fp2          1.98 0.174 52     1.63     2.33
 Control female Left       AF3.AF4          2.31 0.232 52     1.84     2.77
 low-SES female Left       AF3.AF4          2.17 0.178 52     1.81     2.53
 Control male   Left       AF3.AF4          2.24 0.178 52     1.88     2.59
 low-SES male   Left       AF3.AF4          2.05 0.212 52     1.63     2.47
 Control female Right      AF3.AF4          2.39 0.216 52     1.96     2.82
 low-SES female Right      AF3.AF4          2.04 0.166 52     1.71     2.37
 Control male   Right      AF3.AF4          2.12 0.166 52     1.79     2.45
 low-SES male   Right      AF3.AF4          2.11 0.197 52     1.71     2.50
 Control female Left       AF7.AF8          2.00 0.179 52     1.64     2.35
 low-SES female Left       AF7.AF8          2.14 0.137 52     1.87     2.42
 Control male   Left       AF7.AF8          1.97 0.137 52     1.70     2.25
 low-SES male   Left       AF7.AF8          1.95 0.163 52     1.62     2.28
 Control female Right      AF7.AF8          2.00 0.172 52     1.65     2.35
 low-SES female Right      AF7.AF8          2.13 0.132 52     1.87     2.40
 Control male   Right      AF7.AF8          2.22 0.132 52     1.95     2.48
 low-SES male   Right      AF7.AF8          1.93 0.157 52     1.61     2.24
 Control female Left       F1.F2            2.58 0.285 52     2.01     3.15
 low-SES female Left       F1.F2            2.73 0.219 52     2.29     3.17
 Control male   Left       F1.F2            2.65 0.219 52     2.21     3.08
 low-SES male   Left       F1.F2            2.40 0.260 52     1.88     2.93
 Control female Right      F1.F2            2.66 0.286 52     2.09     3.23
 low-SES female Right      F1.F2            2.75 0.219 52     2.31     3.18
 Control male   Right      F1.F2            2.51 0.219 52     2.07     2.95
 low-SES male   Right      F1.F2            2.37 0.261 52     1.85     2.90
 Control female Left       F3.F4            2.35 0.273 52     1.80     2.89
 low-SES female Left       F3.F4            2.58 0.209 52     2.16     3.00
 Control male   Left       F3.F4            2.25 0.209 52     1.83     2.67
 low-SES male   Left       F3.F4            2.26 0.249 52     1.76     2.76
 Control female Right      F3.F4            2.56 0.287 52     1.98     3.14
 low-SES female Right      F3.F4            2.51 0.220 52     2.07     2.95
 Control male   Right      F3.F4            2.29 0.220 52     1.85     2.74
 low-SES male   Right      F3.F4            2.25 0.262 52     1.72     2.78
 Control female Left       F5.F6            1.94 0.201 52     1.54     2.35
 low-SES female Left       F5.F6            2.36 0.154 52     2.05     2.67
 Control male   Left       F5.F6            2.00 0.154 52     1.69     2.31
 low-SES male   Left       F5.F6            1.98 0.184 52     1.61     2.35
 Control female Right      F5.F6            1.98 0.235 52     1.51     2.45
 low-SES female Right      F5.F6            2.45 0.180 52     2.09     2.81
 Control male   Right      F5.F6            2.38 0.180 52     2.02     2.74
 low-SES male   Right      F5.F6            2.11 0.214 52     1.68     2.54
 Control female Left       F7.F8            1.95 0.195 52     1.55     2.34
 low-SES female Left       F7.F8            2.11 0.150 52     1.81     2.41
 Control male   Left       F7.F8            2.03 0.150 52     1.72     2.33
 low-SES male   Left       F7.F8            1.97 0.178 52     1.61     2.32
 Control female Right      F7.F8            1.92 0.191 52     1.53     2.30
 low-SES female Right      F7.F8            2.15 0.146 52     1.86     2.45
 Control male   Right      F7.F8            2.18 0.146 52     1.88     2.47
 low-SES male   Right      F7.F8            2.18 0.174 52     1.83     2.52
 Control female Left       FC1.FC2          2.65 0.306 52     2.04     3.27
 low-SES female Left       FC1.FC2          2.88 0.234 52     2.41     3.35
 Control male   Left       FC1.FC2          2.61 0.234 52     2.14     3.08
 low-SES male   Left       FC1.FC2          2.41 0.279 52     1.85     2.97
 Control female Right      FC1.FC2          2.71 0.300 52     2.11     3.31
 low-SES female Right      FC1.FC2          3.00 0.230 52     2.54     3.46
 Control male   Right      FC1.FC2          2.47 0.230 52     2.01     2.93
 low-SES male   Right      FC1.FC2          2.51 0.274 52     1.96     3.06

Confidence level used: 0.95 

5.4 Aperiodic Offset

options(width = 100)
aperiodic_offset_rep_anova = aov_ez("Subject", "Offset", alpha_power_data, between = c("Group", "Sex"), within = c("hemisphere", "electrode_pair"))
G3;Contrasts set to contr.sum for the following variables: Group, Sex
g
mytable <- xtabs(~ Group + Sex, data = aperiodic_offset_rep_anova$data$long) / length(levels(aperiodic_offset_rep_anova$data$long$electrode_pair)) / length(levels(aperiodic_offset_rep_anova$data$long$hemisphere))
ftable(addmargins(mytable))
        Sex female male Sum
Group                      
Control         19   20  39
low-SES         24   14  38
Sum             43   34  77
aperiodic_param_afex_plot <-
  afex_plot(
    aperiodic_offset_rep_anova,
    x = "Group",
    trace = "Sex",
    panel = "hemisphere",
    error = "between",
    error_arg = list(width = .1),
    dodge = .3,
    data_arg  = list(
      position = 
        position_jitterdodge(
          jitter.width  = .1, 
          jitter.height = .1, 
          dodge.width   = .3  ## needs to be same as dodge
        )),
    mapping = c("color"),
    point_arg = list(size = 4)
  )
suppressWarnings(print(aperiodic_param_afex_plot))

nice(aperiodic_offset_rep_anova)
Anova Table (Type 3 tests)

Response: Offset
                                Effect           df  MSE         F   ges p.value
1                                Group        1, 73 2.35      2.64  .025    .109
2                                  Sex        1, 73 2.35    5.40 *  .050    .023
3                            Group:Sex        1, 73 2.35      1.08  .010    .301
4                           hemisphere        1, 73 0.09      0.23 <.001    .632
5                     Group:hemisphere        1, 73 0.09      1.42 <.001    .238
6                       Sex:hemisphere        1, 73 0.09      0.15 <.001    .703
7                 Group:Sex:hemisphere        1, 73 0.09      0.00 <.001    .981
8                       electrode_pair 2.37, 172.65 0.29 33.95 ***  .087   <.001
9                 Group:electrode_pair 2.37, 172.65 0.29      0.25 <.001    .816
10                  Sex:electrode_pair 2.37, 172.65 0.29    2.71 +  .007    .060
11            Group:Sex:electrode_pair 2.37, 172.65 0.29      0.43  .001    .688
12           hemisphere:electrode_pair 4.75, 346.40 0.04      0.77 <.001    .568
13     Group:hemisphere:electrode_pair 4.75, 346.40 0.04      1.02 <.001    .406
14       Sex:hemisphere:electrode_pair 4.75, 346.40 0.04      1.82  .001    .112
15 Group:Sex:hemisphere:electrode_pair 4.75, 346.40 0.04      1.40  .001    .225
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘+’ 0.1 ‘ ’ 1

Sphericity correction method: GG 
a_posteriori(aperiodic_offset_rep_anova)
G3;NOTE: Results may be misleading due to involvement in interactions
g
 Group   emmean     SE df lower.CL upper.CL
 Control  1.091 0.0614 73    0.969     1.21
 low-SES  0.946 0.0644 73    0.818     1.07

Results are averaged over the levels of: Sex, electrode_pair, hemisphere 
Confidence level used: 0.95 
________________________________________________________________________________
G3;NOTE: Results may be misleading due to involvement in interactions
g
$emmeans
 Sex    emmean     SE df lower.CL upper.CL
 female  0.915 0.0588 73    0.798     1.03
 male    1.122 0.0668 73    0.989     1.25

Results are averaged over the levels of: Group, electrode_pair, hemisphere 
Confidence level used: 0.95 

$contrasts
 contrast      estimate    SE df t.ratio p.value
 female - male   -0.207 0.089 73  -2.323  0.0230

Results are averaged over the levels of: Group, electrode_pair, hemisphere 

 Group   Sex    emmean     SE df lower.CL upper.CL
 Control female  1.034 0.0879 73    0.859    1.209
 low-SES female  0.797 0.0782 73    0.641    0.953
 Control male    1.148 0.0857 73    0.977    1.319
 low-SES male    1.096 0.1020 73    0.892    1.300

Results are averaged over the levels of: electrode_pair, hemisphere 
Confidence level used: 0.95 
 hemisphere emmean     SE df lower.CL upper.CL
 Left         1.02 0.0465 73    0.930     1.12
 Right        1.01 0.0442 73    0.926     1.10

Results are averaged over the levels of: Group, Sex, electrode_pair 
Confidence level used: 0.95 
 Group   hemisphere emmean     SE df lower.CL upper.CL
 Control Left        1.106 0.0642 73    0.978     1.23
 low-SES Left        0.940 0.0673 73    0.806     1.07
 Control Right       1.076 0.0610 73    0.955     1.20
 low-SES Right       0.953 0.0640 73    0.825     1.08

Results are averaged over the levels of: Sex, electrode_pair 
Confidence level used: 0.95 
 Sex    hemisphere emmean     SE df lower.CL upper.CL
 female Left        0.916 0.0615 73    0.794     1.04
 male   Left        1.130 0.0698 73    0.991     1.27
 female Right       0.914 0.0584 73    0.798     1.03
 male   Right       1.114 0.0663 73    0.982     1.25

Results are averaged over the levels of: Group, electrode_pair 
Confidence level used: 0.95 
 Group   Sex    hemisphere emmean     SE df lower.CL upper.CL
 Control female Left        1.045 0.0919 73    0.862    1.229
 low-SES female Left        0.787 0.0818 73    0.624    0.950
 Control male   Left        1.166 0.0896 73    0.987    1.344
 low-SES male   Left        1.093 0.1070 73    0.880    1.307
 Control female Right       1.022 0.0873 73    0.848    1.196
 low-SES female Right       0.807 0.0777 73    0.652    0.961
 Control male   Right       1.130 0.0851 73    0.960    1.300
 low-SES male   Right       1.099 0.1020 73    0.896    1.301

Results are averaged over the levels of: electrode_pair 
Confidence level used: 0.95 
________________________________________________________________________________
$emmeans
 electrode_pair emmean     SE df lower.CL upper.CL
 Fp1.Fp2         1.212 0.0625 73    1.087    1.337
 AF3.AF4         1.127 0.0581 73    1.012    1.243
 AF7.AF8         1.113 0.0526 73    1.008    1.217
 F1.F2           1.065 0.0432 73    0.979    1.151
 F3.F4           0.845 0.0469 73    0.751    0.938
 F5.F6           0.775 0.0454 73    0.684    0.865
 F7.F8           0.960 0.0456 73    0.870    1.051
 FC1.FC2         1.052 0.0460 73    0.961    1.144

Results are averaged over the levels of: Group, Sex, hemisphere 
Confidence level used: 0.95 

$contrasts
 contrast          estimate     SE df t.ratio p.value
 Fp1.Fp2 - AF3.AF4   0.0847 0.0176 73   4.814  0.0002
 Fp1.Fp2 - AF7.AF8   0.0995 0.0315 73   3.156  0.0455
 Fp1.Fp2 - F1.F2     0.1474 0.0471 73   3.128  0.0490
 Fp1.Fp2 - F3.F4     0.3672 0.0499 73   7.355  <.0001
 Fp1.Fp2 - F5.F6     0.4373 0.0463 73   9.450  <.0001
 Fp1.Fp2 - F7.F8     0.2518 0.0419 73   6.004  <.0001
 Fp1.Fp2 - FC1.FC2   0.1598 0.0548 73   2.915  0.0844
 AF3.AF4 - AF7.AF8   0.0148 0.0303 73   0.488  0.9997
 AF3.AF4 - F1.F2     0.0627 0.0395 73   1.588  0.7558
 AF3.AF4 - F3.F4     0.2825 0.0413 73   6.836  <.0001
 AF3.AF4 - F5.F6     0.3526 0.0390 73   9.031  <.0001
 AF3.AF4 - F7.F8     0.1671 0.0377 73   4.435  0.0008
 AF3.AF4 - FC1.FC2   0.0751 0.0473 73   1.590  0.7547
 AF7.AF8 - F1.F2     0.0479 0.0405 73   1.183  0.9344
 AF7.AF8 - F3.F4     0.2677 0.0402 73   6.661  <.0001
 AF7.AF8 - F5.F6     0.3378 0.0321 73  10.534  <.0001
 AF7.AF8 - F7.F8     0.1523 0.0258 73   5.911  <.0001
 AF7.AF8 - FC1.FC2   0.0603 0.0467 73   1.291  0.8993
 F1.F2 - F3.F4       0.2199 0.0182 73  12.083  <.0001
 F1.F2 - F5.F6       0.2899 0.0253 73  11.477  <.0001
 F1.F2 - F7.F8       0.1044 0.0316 73   3.301  0.0306
 F1.F2 - FC1.FC2     0.0125 0.0146 73   0.851  0.9893
 F3.F4 - F5.F6       0.0701 0.0203 73   3.459  0.0194
 F3.F4 - F7.F8      -0.1155 0.0321 73  -3.595  0.0130
 F3.F4 - FC1.FC2    -0.2074 0.0238 73  -8.700  <.0001
 F5.F6 - F7.F8      -0.1855 0.0223 73  -8.317  <.0001
 F5.F6 - FC1.FC2    -0.2775 0.0305 73  -9.093  <.0001
 F7.F8 - FC1.FC2    -0.0919 0.0367 73  -2.507  0.2089

Results are averaged over the levels of: Group, Sex, hemisphere 
P value adjustment: tukey method for comparing a family of 8 estimates 

 Group   electrode_pair emmean     SE df lower.CL upper.CL
 Control Fp1.Fp2         1.296 0.0863 73    1.124    1.468
 low-SES Fp1.Fp2         1.128 0.0906 73    0.947    1.308
 Control AF3.AF4         1.205 0.0801 73    1.045    1.365
 low-SES AF3.AF4         1.050 0.0841 73    0.882    1.218
 Control AF7.AF8         1.193 0.0726 73    1.048    1.338
 low-SES AF7.AF8         1.032 0.0762 73    0.880    1.184
 Control F1.F2           1.135 0.0596 73    1.016    1.254
 low-SES F1.F2           0.995 0.0626 73    0.870    1.119
 Control F3.F4           0.916 0.0647 73    0.787    1.045
 low-SES F3.F4           0.774 0.0680 73    0.638    0.909
 Control F5.F6           0.826 0.0627 73    0.701    0.951
 low-SES F5.F6           0.723 0.0658 73    0.592    0.854
 Control F7.F8           1.047 0.0628 73    0.922    1.172
 low-SES F7.F8           0.874 0.0660 73    0.742    1.005
 Control FC1.FC2         1.109 0.0635 73    0.982    1.235
 low-SES FC1.FC2         0.996 0.0666 73    0.863    1.129

Results are averaged over the levels of: Sex, hemisphere 
Confidence level used: 0.95 
 Sex    electrode_pair emmean     SE df lower.CL upper.CL
 female Fp1.Fp2         1.125 0.0827 73    0.960    1.290
 male   Fp1.Fp2         1.299 0.0938 73    1.112    1.486
 female AF3.AF4         1.031 0.0768 73    0.878    1.184
 male   AF3.AF4         1.224 0.0871 73    1.050    1.397
 female AF7.AF8         1.027 0.0696 73    0.888    1.166
 male   AF7.AF8         1.198 0.0790 73    1.041    1.355
 female F1.F2           0.918 0.0571 73    0.804    1.032
 male   F1.F2           1.212 0.0648 73    1.082    1.341
 female F3.F4           0.721 0.0621 73    0.597    0.845
 male   F3.F4           0.969 0.0704 73    0.828    1.109
 female F5.F6           0.698 0.0601 73    0.578    0.818
 male   F5.F6           0.852 0.0682 73    0.716    0.988
 female F7.F8           0.921 0.0602 73    0.801    1.041
 male   F7.F8           0.999 0.0684 73    0.863    1.136
 female FC1.FC2         0.882 0.0608 73    0.760    1.003
 male   FC1.FC2         1.223 0.0690 73    1.085    1.360

Results are averaged over the levels of: Group, hemisphere 
Confidence level used: 0.95 
 Group   Sex    electrode_pair emmean     SE df lower.CL upper.CL
 Control female Fp1.Fp2         1.221 0.1240 73    0.974    1.467
 low-SES female Fp1.Fp2         1.029 0.1100 73    0.810    1.248
 Control male   Fp1.Fp2         1.372 0.1200 73    1.132    1.612
 low-SES male   Fp1.Fp2         1.227 0.1440 73    0.940    1.514
 Control female AF3.AF4         1.156 0.1150 73    0.927    1.385
 low-SES female AF3.AF4         0.906 0.1020 73    0.702    1.109
 Control male   AF3.AF4         1.254 0.1120 73    1.031    1.476
 low-SES male   AF3.AF4         1.194 0.1340 73    0.928    1.460
 Control female AF7.AF8         1.164 0.1040 73    0.957    1.371
 low-SES female AF7.AF8         0.890 0.0925 73    0.706    1.074
 Control male   AF7.AF8         1.222 0.1010 73    1.020    1.424
 low-SES male   AF7.AF8         1.174 0.1210 73    0.933    1.415
 Control female F1.F2           1.027 0.0854 73    0.856    1.197
 low-SES female F1.F2           0.809 0.0759 73    0.658    0.960
 Control male   F1.F2           1.243 0.0832 73    1.077    1.409
 low-SES male   F1.F2           1.180 0.0994 73    0.982    1.378
 Control female F3.F4           0.844 0.0927 73    0.659    1.029
 low-SES female F3.F4           0.598 0.0825 73    0.433    0.762
 Control male   F3.F4           0.988 0.0904 73    0.808    1.168
 low-SES male   F3.F4           0.950 0.1080 73    0.735    1.165
 Control female F5.F6           0.789 0.0898 73    0.610    0.968
 low-SES female F5.F6           0.606 0.0799 73    0.447    0.765
 Control male   F5.F6           0.863 0.0875 73    0.689    1.038
 low-SES male   F5.F6           0.840 0.1050 73    0.632    1.049
 Control female F7.F8           1.068 0.0900 73    0.889    1.248
 low-SES female F7.F8           0.774 0.0801 73    0.615    0.934
 Control male   F7.F8           1.026 0.0877 73    0.851    1.200
 low-SES male   F7.F8           0.973 0.1050 73    0.764    1.182
 Control female FC1.FC2         1.001 0.0909 73    0.820    1.183
 low-SES female FC1.FC2         0.762 0.0809 73    0.601    0.923
 Control male   FC1.FC2         1.216 0.0886 73    1.039    1.392
 low-SES male   FC1.FC2         1.230 0.1060 73    1.019    1.441

Results are averaged over the levels of: hemisphere 
Confidence level used: 0.95 
 hemisphere electrode_pair emmean     SE df lower.CL upper.CL
 Left       Fp1.Fp2         1.225 0.0626 73    1.100    1.349
 Right      Fp1.Fp2         1.199 0.0670 73    1.066    1.333
 Left       AF3.AF4         1.124 0.0607 73    1.003    1.245
 Right      AF3.AF4         1.130 0.0609 73    1.009    1.252
 Left       AF7.AF8         1.127 0.0555 73    1.016    1.238
 Right      AF7.AF8         1.098 0.0574 73    0.984    1.213
 Left       F1.F2           1.052 0.0461 73    0.960    1.144
 Right      F1.F2           1.077 0.0419 73    0.994    1.161
 Left       F3.F4           0.844 0.0512 73    0.742    0.946
 Right      F3.F4           0.846 0.0462 73    0.754    0.938
 Left       F5.F6           0.799 0.0495 73    0.701    0.898
 Right      F5.F6           0.750 0.0454 73    0.660    0.841
 Left       F7.F8           0.960 0.0492 73    0.862    1.058
 Right      F7.F8           0.960 0.0485 73    0.864    1.057
 Left       FC1.FC2         1.051 0.0483 73    0.955    1.148
 Right      FC1.FC2         1.053 0.0470 73    0.960    1.147

Results are averaged over the levels of: Group, Sex 
Confidence level used: 0.95 
 Group   hemisphere electrode_pair emmean     SE df lower.CL upper.CL
 Control Left       Fp1.Fp2         1.310 0.0863 73    1.138    1.482
 low-SES Left       Fp1.Fp2         1.140 0.0906 73    0.959    1.320
 Control Right      Fp1.Fp2         1.283 0.0924 73    1.099    1.467
 low-SES Right      Fp1.Fp2         1.116 0.0970 73    0.923    1.310
 Control Left       AF3.AF4         1.213 0.0838 73    1.046    1.380
 low-SES Left       AF3.AF4         1.036 0.0879 73    0.861    1.211
 Control Right      AF3.AF4         1.197 0.0839 73    1.029    1.364
 low-SES Right      AF3.AF4         1.064 0.0881 73    0.889    1.240
 Control Left       AF7.AF8         1.248 0.0766 73    1.095    1.400
 low-SES Left       AF7.AF8         1.006 0.0804 73    0.846    1.166
 Control Right      AF7.AF8         1.139 0.0791 73    0.981    1.296
 low-SES Right      AF7.AF8         1.058 0.0831 73    0.892    1.223
 Control Left       F1.F2           1.131 0.0635 73    1.005    1.258
 low-SES Left       F1.F2           0.973 0.0667 73    0.840    1.106
 Control Right      F1.F2           1.139 0.0577 73    1.024    1.254
 low-SES Right      F1.F2           1.016 0.0606 73    0.895    1.137
 Control Left       F3.F4           0.933 0.0706 73    0.792    1.074
 low-SES Left       F3.F4           0.755 0.0741 73    0.607    0.902
 Control Right      F3.F4           0.899 0.0637 73    0.772    1.026
 low-SES Right      F3.F4           0.793 0.0669 73    0.660    0.926
 Control Left       F5.F6           0.853 0.0683 73    0.717    0.990
 low-SES Left       F5.F6           0.745 0.0717 73    0.602    0.888
 Control Right      F5.F6           0.799 0.0626 73    0.675    0.924
 low-SES Right      F5.F6           0.701 0.0658 73    0.570    0.832
 Control Left       F7.F8           1.054 0.0678 73    0.919    1.189
 low-SES Left       F7.F8           0.867 0.0712 73    0.725    1.009
 Control Right      F7.F8           1.040 0.0669 73    0.907    1.173
 low-SES Right      F7.F8           0.880 0.0702 73    0.741    1.020
 Control Left       FC1.FC2         1.104 0.0666 73    0.971    1.237
 low-SES Left       FC1.FC2         0.999 0.0699 73    0.860    1.138
 Control Right      FC1.FC2         1.113 0.0648 73    0.984    1.242
 low-SES Right      FC1.FC2         0.993 0.0680 73    0.857    1.128

Results are averaged over the levels of: Sex 
Confidence level used: 0.95 
 Sex    hemisphere electrode_pair emmean     SE df lower.CL upper.CL
 female Left       Fp1.Fp2         1.119 0.0827 73    0.954    1.283
 male   Left       Fp1.Fp2         1.331 0.0939 73    1.144    1.518
 female Right      Fp1.Fp2         1.131 0.0886 73    0.954    1.308
 male   Right      Fp1.Fp2         1.268 0.1010 73    1.067    1.468
 female Left       AF3.AF4         1.010 0.0803 73    0.850    1.170
 male   Left       AF3.AF4         1.239 0.0911 73    1.058    1.421
 female Right      AF3.AF4         1.052 0.0805 73    0.892    1.213
 male   Right      AF3.AF4         1.208 0.0913 73    1.026    1.390
 female Left       AF7.AF8         1.065 0.0734 73    0.919    1.211
 male   Left       AF7.AF8         1.189 0.0833 73    1.023    1.355
 female Right      AF7.AF8         0.989 0.0758 73    0.838    1.140
 male   Right      AF7.AF8         1.207 0.0861 73    1.036    1.379
 female Left       F1.F2           0.901 0.0609 73    0.780    1.023
 male   Left       F1.F2           1.203 0.0691 73    1.065    1.341
 female Right      F1.F2           0.934 0.0553 73    0.824    1.045
 male   Right      F1.F2           1.220 0.0628 73    1.095    1.345
 female Left       F3.F4           0.716 0.0677 73    0.581    0.851
 male   Left       F3.F4           0.971 0.0768 73    0.818    1.125
 female Right      F3.F4           0.726 0.0611 73    0.604    0.847
 male   Right      F3.F4           0.966 0.0693 73    0.828    1.104
 female Left       F5.F6           0.719 0.0655 73    0.588    0.849
 male   Left       F5.F6           0.880 0.0743 73    0.732    1.028
 female Right      F5.F6           0.677 0.0600 73    0.557    0.797
 male   Right      F5.F6           0.823 0.0681 73    0.688    0.959
 female Left       F7.F8           0.945 0.0650 73    0.815    1.074
 male   Left       F7.F8           0.976 0.0738 73    0.829    1.123
 female Right      F7.F8           0.898 0.0641 73    0.770    1.026
 male   Right      F7.F8           1.022 0.0727 73    0.877    1.167
 female Left       FC1.FC2         0.856 0.0638 73    0.729    0.983
 male   Left       FC1.FC2         1.247 0.0725 73    1.102    1.391
 female Right      FC1.FC2         0.907 0.0621 73    0.784    1.031
 male   Right      FC1.FC2         1.199 0.0705 73    1.058    1.339

Results are averaged over the levels of: Group 
Confidence level used: 0.95 
 Group   Sex    hemisphere electrode_pair emmean     SE df lower.CL upper.CL
 Control female Left       Fp1.Fp2         1.210 0.1240 73    0.964    1.457
 low-SES female Left       Fp1.Fp2         1.027 0.1100 73    0.808    1.246
 Control male   Left       Fp1.Fp2         1.409 0.1200 73    1.169    1.649
 low-SES male   Left       Fp1.Fp2         1.253 0.1440 73    0.966    1.540
 Control female Right      Fp1.Fp2         1.231 0.1320 73    0.967    1.495
 low-SES female Right      Fp1.Fp2         1.031 0.1180 73    0.796    1.266
 Control male   Right      Fp1.Fp2         1.335 0.1290 73    1.077    1.592
 low-SES male   Right      Fp1.Fp2         1.201 0.1540 73    0.894    1.508
 Control female Left       AF3.AF4         1.158 0.1200 73    0.919    1.397
 low-SES female Left       AF3.AF4         0.861 0.1070 73    0.649    1.074
 Control male   Left       AF3.AF4         1.268 0.1170 73    1.035    1.501
 low-SES male   Left       AF3.AF4         1.210 0.1400 73    0.932    1.489
 Control female Right      AF3.AF4         1.155 0.1200 73    0.915    1.394
 low-SES female Right      AF3.AF4         0.950 0.1070 73    0.737    1.164
 Control male   Right      AF3.AF4         1.239 0.1170 73    1.005    1.472
 low-SES male   Right      AF3.AF4         1.178 0.1400 73    0.899    1.457
 Control female Left       AF7.AF8         1.247 0.1100 73    1.028    1.466
 low-SES female Left       AF7.AF8         0.883 0.0976 73    0.688    1.077
 Control male   Left       AF7.AF8         1.248 0.1070 73    1.035    1.461
 low-SES male   Left       AF7.AF8         1.130 0.1280 73    0.875    1.384
 Control female Right      AF7.AF8         1.081 0.1130 73    0.855    1.307
 low-SES female Right      AF7.AF8         0.897 0.1010 73    0.696    1.098
 Control male   Right      AF7.AF8         1.196 0.1100 73    0.976    1.416
 low-SES male   Right      AF7.AF8         1.218 0.1320 73    0.955    1.481
 Control female Left       F1.F2           1.026 0.0910 73    0.845    1.208
 low-SES female Left       F1.F2           0.776 0.0810 73    0.615    0.937
 Control male   Left       F1.F2           1.236 0.0887 73    1.059    1.413
 low-SES male   Left       F1.F2           1.170 0.1060 73    0.959    1.382
 Control female Right      F1.F2           1.027 0.0827 73    0.862    1.192
 low-SES female Right      F1.F2           0.842 0.0736 73    0.695    0.988
 Control male   Right      F1.F2           1.250 0.0806 73    1.090    1.411
 low-SES male   Right      F1.F2           1.190 0.0963 73    0.998    1.382
 Control female Left       F3.F4           0.856 0.1010 73    0.655    1.058
 low-SES female Left       F3.F4           0.576 0.0900 73    0.397    0.755
 Control male   Left       F3.F4           1.010 0.0985 73    0.813    1.206
 low-SES male   Left       F3.F4           0.933 0.1180 73    0.699    1.168
 Control female Right      F3.F4           0.832 0.0912 73    0.650    1.014
 low-SES female Right      F3.F4           0.619 0.0812 73    0.457    0.781
 Control male   Right      F3.F4           0.966 0.0889 73    0.788    1.143
 low-SES male   Right      F3.F4           0.967 0.1060 73    0.755    1.178
 Control female Left       F5.F6           0.818 0.0978 73    0.623    1.013
 low-SES female Left       F5.F6           0.619 0.0871 73    0.446    0.793
 Control male   Left       F5.F6           0.889 0.0954 73    0.699    1.079
 low-SES male   Left       F5.F6           0.871 0.1140 73    0.644    1.099
 Control female Right      F5.F6           0.761 0.0897 73    0.582    0.940
 low-SES female Right      F5.F6           0.593 0.0798 73    0.434    0.752
 Control male   Right      F5.F6           0.838 0.0874 73    0.664    1.012
 low-SES male   Right      F5.F6           0.809 0.1050 73    0.601    1.017
 Control female Left       F7.F8           1.062 0.0971 73    0.868    1.256
 low-SES female Left       F7.F8           0.827 0.0864 73    0.655    0.999
 Control male   Left       F7.F8           1.046 0.0947 73    0.857    1.234
 low-SES male   Left       F7.F8           0.907 0.1130 73    0.681    1.132
 Control female Right      F7.F8           1.075 0.0958 73    0.884    1.266
 low-SES female Right      F7.F8           0.721 0.0852 73    0.551    0.891
 Control male   Right      F7.F8           1.005 0.0934 73    0.819    1.191
 low-SES male   Right      F7.F8           1.040 0.1120 73    0.817    1.262
 Control female Left       FC1.FC2         0.986 0.0954 73    0.796    1.177
 low-SES female Left       FC1.FC2         0.725 0.0849 73    0.556    0.895
 Control male   Left       FC1.FC2         1.221 0.0930 73    1.036    1.407
 low-SES male   Left       FC1.FC2         1.272 0.1110 73    1.051    1.494
 Control female Right      FC1.FC2         1.016 0.0928 73    0.832    1.201
 low-SES female Right      FC1.FC2         0.798 0.0825 73    0.634    0.963
 Control male   Right      FC1.FC2         1.210 0.0904 73    1.030    1.390
 low-SES male   Right      FC1.FC2         1.187 0.1080 73    0.972    1.403

Confidence level used: 0.95 

5.5 Aperiodic Slope

options(width = 100)
aperiodic_slope_rep_anova = aov_ez("Subject", "Slope", alpha_power_data, between = c("Group", "Sex"), within = c("hemisphere", "electrode_pair"))
G3;Contrasts set to contr.sum for the following variables: Group, Sex
g
mytable <- xtabs(~ Group + Sex, data = aperiodic_slope_rep_anova$data$long) / length(levels(aperiodic_slope_rep_anova$data$long$electrode_pair)) / length(levels(aperiodic_slope_rep_anova$data$long$hemisphere))
ftable(addmargins(mytable))
        Sex female male Sum
Group                      
Control         19   20  39
low-SES         24   14  38
Sum             43   34  77
aperiodic_param_afex_plot <-
  afex_plot(
    aperiodic_slope_rep_anova,
    x = "Group",
    trace = "Sex",
    panel = "hemisphere",
    error = "between",
    error_arg = list(width = .1),
    dodge = .3,
    data_arg  = list(
      position = 
        position_jitterdodge(
          jitter.width  = .1, 
          jitter.height = .1, 
          dodge.width   = .3  ## needs to be same as dodge
        )),
    mapping = c("color"),
    point_arg = list(size = 4)
  )
suppressWarnings(print(aperiodic_param_afex_plot))

nice(aperiodic_slope_rep_anova)
Anova Table (Type 3 tests)

Response: Slope
                                Effect           df  MSE         F   ges p.value
1                                Group        1, 73 1.70    5.43 *  .054    .023
2                                  Sex        1, 73 1.70   9.19 **  .088    .003
3                            Group:Sex        1, 73 1.70      0.32  .003    .574
4                           hemisphere        1, 73 0.05      2.75 <.001    .102
5                     Group:hemisphere        1, 73 0.05      0.00 <.001    .968
6                       Sex:hemisphere        1, 73 0.05      0.37 <.001    .543
7                 Group:Sex:hemisphere        1, 73 0.05      0.19 <.001    .664
8                       electrode_pair 3.36, 245.05 0.11 56.12 ***  .110   <.001
9                 Group:electrode_pair 3.36, 245.05 0.11      0.23 <.001    .892
10                  Sex:electrode_pair 3.36, 245.05 0.11    2.55 *  .006    .049
11            Group:Sex:electrode_pair 3.36, 245.05 0.11      0.87  .002    .467
12           hemisphere:electrode_pair 4.92, 359.10 0.02    2.48 *  .002    .033
13     Group:hemisphere:electrode_pair 4.92, 359.10 0.02      0.60 <.001    .698
14       Sex:hemisphere:electrode_pair 4.92, 359.10 0.02      1.00 <.001    .419
15 Group:Sex:hemisphere:electrode_pair 4.92, 359.10 0.02      0.81 <.001    .543
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘+’ 0.1 ‘ ’ 1

Sphericity correction method: GG 
# a_posteriori(aperiodic_slope_rep_anova)
emmeans(aperiodic_slope_rep_anova, pairwise ~ Group)
G3;NOTE: Results may be misleading due to involvement in interactions
g
$emmeans
 Group   emmean     SE df lower.CL upper.CL
 Control   1.18 0.0522 73    1.077     1.28
 low-SES   1.00 0.0547 73    0.896     1.11

Results are averaged over the levels of: Sex, electrode_pair, hemisphere 
Confidence level used: 0.95 

$contrasts
 contrast            estimate     SE df t.ratio p.value
 Control - (low-SES)    0.176 0.0756 73   2.330  0.0226

Results are averaged over the levels of: Sex, electrode_pair, hemisphere 
cat(rep("_", 80), '\n', sep = "")
________________________________________________________________________________
emmeans(aperiodic_slope_rep_anova, pairwise ~ Sex)
G3;NOTE: Results may be misleading due to involvement in interactions
g
$emmeans
 Sex    emmean     SE df lower.CL upper.CL
 female  0.978 0.0500 73    0.879     1.08
 male    1.207 0.0567 73    1.094     1.32

Results are averaged over the levels of: Group, electrode_pair, hemisphere 
Confidence level used: 0.95 

$contrasts
 contrast      estimate     SE df t.ratio p.value
 female - male   -0.229 0.0756 73  -3.032  0.0034

Results are averaged over the levels of: Group, electrode_pair, hemisphere 
cat(rep("_", 80), '\n', sep = "")
________________________________________________________________________________
emmeans(aperiodic_slope_rep_anova, pairwise ~ electrode_pair)
$emmeans
 electrode_pair emmean     SE df lower.CL upper.CL
 Fp1.Fp2         1.112 0.0467 73    1.019    1.205
 AF3.AF4         1.098 0.0475 73    1.004    1.193
 AF7.AF8         1.020 0.0368 73    0.947    1.094
 F1.F2           1.273 0.0395 73    1.194    1.352
 F3.F4           1.024 0.0431 73    0.938    1.110
 F5.F6           0.915 0.0404 73    0.834    0.996
 F7.F8           0.987 0.0364 73    0.914    1.059
 FC1.FC2         1.313 0.0405 73    1.232    1.393

Results are averaged over the levels of: Group, Sex, hemisphere 
Confidence level used: 0.95 

$contrasts
 contrast          estimate     SE df t.ratio p.value
 Fp1.Fp2 - AF3.AF4  0.01347 0.0149 73   0.906  0.9846
 Fp1.Fp2 - AF7.AF8  0.09137 0.0244 73   3.745  0.0082
 Fp1.Fp2 - F1.F2   -0.16110 0.0301 73  -5.348  <.0001
 Fp1.Fp2 - F3.F4    0.08735 0.0321 73   2.723  0.1324
 Fp1.Fp2 - F5.F6    0.19673 0.0310 73   6.353  <.0001
 Fp1.Fp2 - F7.F8    0.12508 0.0282 73   4.438  0.0008
 Fp1.Fp2 - FC1.FC2 -0.20073 0.0359 73  -5.594  <.0001
 AF3.AF4 - AF7.AF8  0.07790 0.0245 73   3.174  0.0434
 AF3.AF4 - F1.F2   -0.17456 0.0292 73  -5.987  <.0001
 AF3.AF4 - F3.F4    0.07389 0.0308 73   2.395  0.2593
 AF3.AF4 - F5.F6    0.18326 0.0303 73   6.058  <.0001
 AF3.AF4 - F7.F8    0.11162 0.0288 73   3.871  0.0055
 AF3.AF4 - FC1.FC2 -0.21419 0.0343 73  -6.253  <.0001
 AF7.AF8 - F1.F2   -0.25246 0.0274 73  -9.213  <.0001
 AF7.AF8 - F3.F4   -0.00401 0.0269 73  -0.149  1.0000
 AF7.AF8 - F5.F6    0.10536 0.0220 73   4.794  0.0002
 AF7.AF8 - F7.F8    0.03372 0.0182 73   1.855  0.5857
 AF7.AF8 - FC1.FC2 -0.29209 0.0305 73  -9.591  <.0001
 F1.F2 - F3.F4      0.24845 0.0197 73  12.585  <.0001
 F1.F2 - F5.F6      0.35782 0.0235 73  15.247  <.0001
 F1.F2 - F7.F8      0.28618 0.0225 73  12.699  <.0001
 F1.F2 - FC1.FC2   -0.03963 0.0108 73  -3.683  0.0099
 F3.F4 - F5.F6      0.10937 0.0212 73   5.151  0.0001
 F3.F4 - F7.F8      0.03773 0.0246 73   1.535  0.7862
 F3.F4 - FC1.FC2   -0.28808 0.0236 73 -12.225  <.0001
 F5.F6 - F7.F8     -0.07164 0.0168 73  -4.262  0.0015
 F5.F6 - FC1.FC2   -0.39746 0.0255 73 -15.588  <.0001
 F7.F8 - FC1.FC2   -0.32581 0.0254 73 -12.842  <.0001

Results are averaged over the levels of: Group, Sex, hemisphere 
P value adjustment: tukey method for comparing a family of 8 estimates 
cat(rep("_", 80), '\n', sep = "")
________________________________________________________________________________
emmeans(aperiodic_slope_rep_anova, pairwise ~ electrode_pair | Sex)
$emmeans
Sex = female:
 electrode_pair emmean     SE df lower.CL upper.CL
 Fp1.Fp2         0.962 0.0617 73    0.839    1.085
 AF3.AF4         0.936 0.0629 73    0.811    1.062
 AF7.AF8         0.913 0.0486 73    0.816    1.010
 F1.F2           1.154 0.0523 73    1.050    1.258
 F3.F4           0.916 0.0570 73    0.803    1.030
 F5.F6           0.834 0.0535 73    0.728    0.941
 F7.F8           0.908 0.0482 73    0.812    1.004
 FC1.FC2         1.201 0.0536 73    1.094    1.308

Sex = male:
 electrode_pair emmean     SE df lower.CL upper.CL
 Fp1.Fp2         1.262 0.0700 73    1.122    1.402
 AF3.AF4         1.260 0.0713 73    1.118    1.403
 AF7.AF8         1.128 0.0552 73    1.018    1.238
 F1.F2           1.392 0.0593 73    1.273    1.510
 F3.F4           1.132 0.0647 73    1.003    1.261
 F5.F6           0.996 0.0607 73    0.875    1.117
 F7.F8           1.065 0.0547 73    0.956    1.174
 FC1.FC2         1.424 0.0608 73    1.303    1.545

Results are averaged over the levels of: Group, hemisphere 
Confidence level used: 0.95 

$contrasts
Sex = female:
 contrast          estimate     SE df t.ratio p.value
 Fp1.Fp2 - AF3.AF4  0.02540 0.0196 73   1.293  0.8987
 Fp1.Fp2 - AF7.AF8  0.04855 0.0323 73   1.505  0.8022
 Fp1.Fp2 - F1.F2   -0.19257 0.0398 73  -4.835  0.0002
 Fp1.Fp2 - F3.F4    0.04520 0.0424 73   1.065  0.9619
 Fp1.Fp2 - F5.F6    0.12741 0.0409 73   3.111  0.0512
 Fp1.Fp2 - F7.F8    0.05335 0.0373 73   1.432  0.8396
 Fp1.Fp2 - FC1.FC2 -0.23939 0.0474 73  -5.045  0.0001
 AF3.AF4 - AF7.AF8  0.02315 0.0325 73   0.713  0.9963
 AF3.AF4 - F1.F2   -0.21797 0.0386 73  -5.654  <.0001
 AF3.AF4 - F3.F4    0.01980 0.0408 73   0.485  0.9997
 AF3.AF4 - F5.F6    0.10200 0.0400 73   2.550  0.1917
 AF3.AF4 - F7.F8    0.02795 0.0381 73   0.733  0.9957
 AF3.AF4 - FC1.FC2 -0.26479 0.0453 73  -5.845  <.0001
 AF7.AF8 - F1.F2   -0.24112 0.0362 73  -6.654  <.0001
 AF7.AF8 - F3.F4   -0.00336 0.0355 73  -0.094  1.0000
 AF7.AF8 - F5.F6    0.07885 0.0291 73   2.714  0.1351
 AF7.AF8 - F7.F8    0.00480 0.0240 73   0.200  1.0000
 AF7.AF8 - FC1.FC2 -0.28794 0.0403 73  -7.150  <.0001
 F1.F2 - F3.F4      0.23777 0.0261 73   9.108  <.0001
 F1.F2 - F5.F6      0.31997 0.0310 73  10.311  <.0001
 F1.F2 - F7.F8      0.24592 0.0298 73   8.253  <.0001
 F1.F2 - FC1.FC2   -0.04682 0.0142 73  -3.290  0.0315
 F3.F4 - F5.F6      0.08221 0.0281 73   2.928  0.0817
 F3.F4 - F7.F8      0.00816 0.0325 73   0.251  1.0000
 F3.F4 - FC1.FC2   -0.28458 0.0312 73  -9.133  <.0001
 F5.F6 - F7.F8     -0.07405 0.0222 73  -3.332  0.0281
 F5.F6 - FC1.FC2   -0.36679 0.0337 73 -10.879  <.0001
 F7.F8 - FC1.FC2   -0.29274 0.0335 73  -8.726  <.0001

Sex = male:
 contrast          estimate     SE df t.ratio p.value
 Fp1.Fp2 - AF3.AF4  0.00153 0.0223 73   0.069  1.0000
 Fp1.Fp2 - AF7.AF8  0.13418 0.0366 73   3.665  0.0105
 Fp1.Fp2 - F1.F2   -0.12962 0.0452 73  -2.868  0.0945
 Fp1.Fp2 - F3.F4    0.12951 0.0481 73   2.690  0.1423
 Fp1.Fp2 - F5.F6    0.26605 0.0465 73   5.726  <.0001
 Fp1.Fp2 - F7.F8    0.19681 0.0423 73   4.654  0.0004
 Fp1.Fp2 - FC1.FC2 -0.16207 0.0538 73  -3.010  0.0665
 AF3.AF4 - AF7.AF8  0.13265 0.0368 73   3.602  0.0127
 AF3.AF4 - F1.F2   -0.13115 0.0438 73  -2.998  0.0687
 AF3.AF4 - F3.F4    0.12798 0.0463 73   2.765  0.1202
 AF3.AF4 - F5.F6    0.26452 0.0454 73   5.827  <.0001
 AF3.AF4 - F7.F8    0.19528 0.0433 73   4.514  0.0006
 AF3.AF4 - FC1.FC2 -0.16360 0.0514 73  -3.183  0.0423
 AF7.AF8 - F1.F2   -0.26380 0.0411 73  -6.416  <.0001
 AF7.AF8 - F3.F4   -0.00467 0.0403 73  -0.116  1.0000
 AF7.AF8 - F5.F6    0.13187 0.0330 73   3.999  0.0036
 AF7.AF8 - F7.F8    0.06264 0.0273 73   2.296  0.3099
 AF7.AF8 - FC1.FC2 -0.29625 0.0457 73  -6.482  <.0001
 F1.F2 - F3.F4      0.25913 0.0296 73   8.748  <.0001
 F1.F2 - F5.F6      0.39567 0.0352 73  11.236  <.0001
 F1.F2 - F7.F8      0.32644 0.0338 73   9.654  <.0001
 F1.F2 - FC1.FC2   -0.03245 0.0161 73  -2.010  0.4827
 F3.F4 - F5.F6      0.13654 0.0319 73   4.286  0.0014
 F3.F4 - F7.F8      0.06730 0.0369 73   1.824  0.6058
 F3.F4 - FC1.FC2   -0.29158 0.0354 73  -8.246  <.0001
 F5.F6 - F7.F8     -0.06924 0.0252 73  -2.745  0.1258
 F5.F6 - FC1.FC2   -0.42812 0.0383 73 -11.190  <.0001
 F7.F8 - FC1.FC2   -0.35889 0.0381 73  -9.427  <.0001

Results are averaged over the levels of: Group, hemisphere 
P value adjustment: tukey method for comparing a family of 8 estimates 
cat(rep("_", 80), '\n', sep = "")
________________________________________________________________________________
emmeans(aperiodic_slope_rep_anova, pairwise ~ hemisphere | electrode_pair)
$emmeans
electrode_pair = Fp1.Fp2:
 hemisphere emmean     SE df lower.CL upper.CL
 Left        1.139 0.0473 73    1.044    1.233
 Right       1.085 0.0486 73    0.988    1.182

electrode_pair = AF3.AF4:
 hemisphere emmean     SE df lower.CL upper.CL
 Left        1.106 0.0508 73    1.005    1.207
 Right       1.091 0.0486 73    0.994    1.188

electrode_pair = AF7.AF8:
 hemisphere emmean     SE df lower.CL upper.CL
 Left        1.038 0.0372 73    0.964    1.112
 Right       1.003 0.0398 73    0.924    1.082

electrode_pair = F1.F2:
 hemisphere emmean     SE df lower.CL upper.CL
 Left        1.258 0.0420 73    1.174    1.342
 Right       1.288 0.0384 73    1.211    1.365

electrode_pair = F3.F4:
 hemisphere emmean     SE df lower.CL upper.CL
 Left        1.022 0.0472 73    0.928    1.116
 Right       1.027 0.0427 73    0.942    1.112

electrode_pair = F5.F6:
 hemisphere emmean     SE df lower.CL upper.CL
 Left        0.947 0.0434 73    0.861    1.034
 Right       0.883 0.0421 73    0.799    0.967

electrode_pair = F7.F8:
 hemisphere emmean     SE df lower.CL upper.CL
 Left        1.006 0.0376 73    0.931    1.081
 Right       0.967 0.0386 73    0.891    1.044

electrode_pair = FC1.FC2:
 hemisphere emmean     SE df lower.CL upper.CL
 Left        1.309 0.0415 73    1.226    1.392
 Right       1.316 0.0413 73    1.234    1.398

Results are averaged over the levels of: Group, Sex 
Confidence level used: 0.95 

$contrasts
electrode_pair = Fp1.Fp2:
 contrast     estimate     SE df t.ratio p.value
 Left - Right  0.05394 0.0222 73   2.426  0.0177

electrode_pair = AF3.AF4:
 contrast     estimate     SE df t.ratio p.value
 Left - Right  0.01468 0.0290 73   0.506  0.6145

electrode_pair = AF7.AF8:
 contrast     estimate     SE df t.ratio p.value
 Left - Right  0.03506 0.0229 73   1.532  0.1298

electrode_pair = F1.F2:
 contrast     estimate     SE df t.ratio p.value
 Left - Right -0.03011 0.0152 73  -1.979  0.0516

electrode_pair = F3.F4:
 contrast     estimate     SE df t.ratio p.value
 Left - Right -0.00484 0.0255 73  -0.190  0.8501

electrode_pair = F5.F6:
 contrast     estimate     SE df t.ratio p.value
 Left - Right  0.06459 0.0279 73   2.317  0.0233

electrode_pair = F7.F8:
 contrast     estimate     SE df t.ratio p.value
 Left - Right  0.03852 0.0223 73   1.727  0.0883

electrode_pair = FC1.FC2:
 contrast     estimate     SE df t.ratio p.value
 Left - Right -0.00697 0.0168 73  -0.415  0.6791

Results are averaged over the levels of: Group, Sex 
---
title: "Alpha power estimated by FOOOF"
author: "Alvaro Rivera-Rei"
date: "`r format(Sys.time(), '%d %B, %Y')`"
output:
  html_notebook:
    code_folding: hide
    highlight: tango
    number_sections: yes
    theme: cerulean
    toc: yes
    toc_float:
      collapsed: no
      smooth_scroll: no
  pdf_document:
    toc: yes
subtitle: Fondecyt 2017
---

<!-- ```{r setup, include = FALSE}  -->
<!-- knitr::opts_chunk$set(warning = FALSE, message = FALSE)  -->
<!-- ``` -->

```{r Clean and Load Libraries, message=FALSE}
cat("\014")     # clean terminal
rm(list = ls()) # clean workspace
try(dev.off(), silent = TRUE) # close all plots
library(tidyverse)
library(afex)
library(lmerTest)
library(emmeans)
library(GGally)
library(easystats)
```

```{r Set Defaults}
theme_set(
  theme_minimal()
)

a_posteriori <- function(afex_aov, sig_level = .05) {
  factors  <- as.list(rownames(afex_aov$anova_table))
  for (j in 1:length(factors)) {
    if (grepl(":", factors[[j]])) {
      factors[[j]] <- unlist(strsplit(factors[[j]], ":"))
    }
  }
  p_values <- afex_aov$anova_table$`Pr(>F)`
  for (i in 1:length(p_values)) {
    if (p_values[i] <= sig_level) {
      cat(rep("_", 80), '\n', sep = "")
      print(emmeans(afex_aov, factors[[i]], contr = "pairwise"))
    } else {
      print(emmeans(afex_aov, factors[[i]]))
    }
  }
}

a_posteriori_lmer <- function(lmer_obj, sig_level = .05) {
  anova_lmer <- anova(lmer_obj)
  factors  <- as.list(row.names(anova_lmer))
  for (j in 1:length(factors)) {
    if (grepl(':', factors[[j]])) {
      factors[[j]] <- unlist(strsplit(factors[[j]], ':'))
    }
  }
  p_values <- anova_lmer$`Pr(>F)`
  for (i in 1:length(p_values)) {
    if (p_values[i] <= sig_level) {
      cat(rep('_', 60), '\n', sep = '')
      print(emmeans(lmer_obj, factors[[i]], contr = 'pairwise'))
    }
  }
}
```

```{r Load Data}
# master_dir                 <- '/home/alvaro/Insync/Drive/00LABWORKS_drive/Huepe/Fdcyt_2017/resting_huepe'
# data_dir                   <- paste(master_dir, 'FAA_results',  sep = '/')
# alpha_power_data_name      <- paste(data_dir, 'foof_data_2_to_48_Hz.csv', sep='/')
alpha_power_data           <- read.table('foof_data_2_to_48_Hz.csv', header = TRUE, strip.white = TRUE, sep = ",")
alpha_power_data$Dataset   <- factor(alpha_power_data$Dataset)
alpha_power_data$Electrode <- factor(alpha_power_data$Electrode)
alpha_power_data$Subject   <- factor(alpha_power_data$Subject)
alpha_power_data$hemisphere[alpha_power_data$Electrode %in% c('E093-Fp1',  'E092-AF3a',  'E094-AF7',  'E089-F1a',  'E100-F3a',  'E101-F5a',  'E103-F7',  'E088-FC1a')] <- 'Left'
alpha_power_data$hemisphere[alpha_power_data$Electrode %in% c('E080-Fp2',  'E079-AF4a',  'E072-AF8',  'E076-F2a',  'E068-F4a',  'E069-F6a',  'E071-F8',  'E075-FC2a')] <- 'Right'
alpha_power_data$hemisphere <- factor(alpha_power_data$hemisphere)
alpha_power_data$electrode_pair[alpha_power_data$Electrode %in% c('E093-Fp1' , 'E080-Fp2')]  <- 'Fp1-Fp2'
alpha_power_data$electrode_pair[alpha_power_data$Electrode %in% c('E092-AF3a', 'E079-AF4a')] <- 'AF3-AF4'
alpha_power_data$electrode_pair[alpha_power_data$Electrode %in% c('E094-AF7' , 'E072-AF8')]  <- 'AF7-AF8'
alpha_power_data$electrode_pair[alpha_power_data$Electrode %in% c('E089-F1a' , 'E076-F2a')]  <- 'F1-F2'
alpha_power_data$electrode_pair[alpha_power_data$Electrode %in% c('E100-F3a' , 'E068-F4a')]  <- 'F3-F4'
alpha_power_data$electrode_pair[alpha_power_data$Electrode %in% c('E101-F5a' , 'E069-F6a')]  <- 'F5-F6'
alpha_power_data$electrode_pair[alpha_power_data$Electrode %in% c('E103-F7'  , 'E071-F8')]   <- 'F7-F8'
alpha_power_data$electrode_pair[alpha_power_data$Electrode %in% c('E088-FC1a', 'E075-FC2a')] <- 'FC1-FC2'
alpha_power_data$electrode_pair <- factor(alpha_power_data$electrode_pair, levels = c('Fp1-Fp2', 'AF3-AF4', 'AF7-AF8', 'F1-F2', 'F3-F4','F5-F6', 'F7-F8', 'FC1-FC2'))
group_id   <- read.table("/home/alvaro/Insync/Drive/00EEG/Proyectos/Huepe/fdcyt_2017/Registro-Evaluaciones-FDCYT-DH-2017 - General ANONIMO.csv",
                         sep = ",", header = TRUE, col.names = c("full.id", "Subject", "Sex", "Group", "Stress"))
group_id$Sex           <- factor(group_id$Sex)
group_id$Group         <- factor(group_id$Group)
levels(group_id$Sex)   <- list(female = "F", male = "M")
levels(group_id$Group) <- list(Control = "CN", "low-SES" = "EX")
group_id               <- group_id[c('Subject', 'Group', 'Sex')]
alpha_power_data       <- merge(alpha_power_data, group_id, by = 'Subject')
write.csv(alpha_power_data,  'alpha_power_data_clean.csv',  row.names = FALSE)
asymmetry_Fp2_Fp1 <- c()
asymmetry_AF4_AF3 <- c()
asymmetry_AF8_AF7 <- c()
asymmetry_F2_F1   <- c()
asymmetry_F4_F3   <- c()
asymmetry_F6_F5   <- c()
asymmetry_F8_F7   <- c()
asymmetry_FC2_FC1 <- c()
Subject <- unique(alpha_power_data$Subject)
for (subj in Subject) {
  subject_data <- subset(alpha_power_data, Subject == subj)
  asymmetry_Fp2_Fp1 <- c(asymmetry_Fp2_Fp1, subject_data[which(subject_data$Electrode == 'E080-Fp2') , 5] - subject_data[which(subject_data$Electrode=='E093-Fp1') , 5])
  asymmetry_AF4_AF3 <- c(asymmetry_AF4_AF3, subject_data[which(subject_data$Electrode == 'E079-AF4a'), 5] - subject_data[which(subject_data$Electrode=='E092-AF3a'), 5])
  asymmetry_AF8_AF7 <- c(asymmetry_AF8_AF7, subject_data[which(subject_data$Electrode == 'E072-AF8') , 5] - subject_data[which(subject_data$Electrode=='E094-AF7') , 5])
  asymmetry_F2_F1   <- c(asymmetry_F2_F1  , subject_data[which(subject_data$Electrode == 'E076-F2a') , 5] - subject_data[which(subject_data$Electrode=='E089-F1a') , 5])
  asymmetry_F4_F3   <- c(asymmetry_F4_F3  , subject_data[which(subject_data$Electrode == 'E068-F4a') , 5] - subject_data[which(subject_data$Electrode=='E100-F3a') , 5])
  asymmetry_F6_F5   <- c(asymmetry_F6_F5  , subject_data[which(subject_data$Electrode == 'E069-F6a') , 5] - subject_data[which(subject_data$Electrode=='E101-F5a') , 5])
  asymmetry_F8_F7   <- c(asymmetry_F8_F7  , subject_data[which(subject_data$Electrode == 'E071-F8')  , 5] - subject_data[which(subject_data$Electrode=='E103-F7')  , 5])
  asymmetry_FC2_FC1 <- c(asymmetry_FC2_FC1, subject_data[which(subject_data$Electrode == 'E075-FC2a'), 5] - subject_data[which(subject_data$Electrode=='E088-FC1a'), 5])
}
alpha_asymmetry_data <- data.frame(Subject, asymmetry_Fp2_Fp1, asymmetry_AF4_AF3, asymmetry_AF8_AF7, asymmetry_F2_F1, asymmetry_F4_F3, asymmetry_F6_F5, asymmetry_F8_F7, asymmetry_FC2_FC1)
alpha_asymmetry_data <- merge(alpha_asymmetry_data, group_id, by = 'Subject')
alpha_asymmetry_data_long <- pivot_longer(alpha_asymmetry_data,
                                          cols         = asymmetry_Fp2_Fp1:asymmetry_FC2_FC1, 
                                          names_to     = 'Electrodes' , 
                                          names_prefix = 'asymmetry_', 
                                          names_ptypes = factor(),
                                          values_to    = 'Asimmetry')
write.csv(alpha_asymmetry_data     , 'alpha_asymmetry_data_clean.csv'     , row.names = FALSE)
write.csv(alpha_asymmetry_data_long, 'alpha_asymmetry_data_clean_long.csv', row.names = FALSE)
```

# Spectral decomposition

```{r participants, fig.width = 12}
options(width = 100)
mytable <- xtabs(~ Group + Sex, data = alpha_asymmetry_data)
ftable(addmargins(mytable))
```

- **Infinity Reference or Reference Electrode Standardization Technique (REST)**.\
<div class="csl-entry">Dong, L., Li, F., Liu, Q., Wen, X., Lai, Y., Xu, P., &#38; Yao, D. (2017). MATLAB Toolboxes for Reference Electrode Standardization Technique (REST) of Scalp EEG. <i>Frontiers in Neuroscience</i>, <i>11</i>(OCT), 601. https://doi.org/10.3389/fnins.2017.00601</div>
- **120 consecutive segments, 5 seconds each**.\
- **PSD computed with Welch's method**.

## Scalp Map, mean power 9-11 Hz
![](REST_PSD_scalp.png)

## PSD topography, 1 to 55 Hz, grand average
![](REST_PSD_topography.png)

## PSD topography, 4 to 30 Hz, grand average
![](REST_PSD_topography_4_to_30_Hz.png)

## Frontal Electrodes, 4 to 30 Hz, grand average
- 1 standard error     bands
![Frontal electrodes](REST_PSD_4_to_30_Hz.png)

# Parameterization of neural power spectra
* Each individual PSD is regarded as a combination of an aperiodic component, characterized by an **offset** and a **slope**, and putative periodic oscillatory peaks:
![](periodic_and_aperiodic.png)


* The process goes like this...
  + Power Spectrum P Fit:
$$P = L + \sum_{n=0}^N G_n$$
  + Where:
$$L = aperiodic\ signal$$
$$G_n = Gaussian\ fit\ to\ a\ peak$$
$$N = total\ peaks\ extracted$$

  + Aperiodic (background) Fit L:
$$L = b - \log_{10}(k + F^\chi)$$
  + Where:
$$b = broadband\ offset$$
$$k = ``knee"\ parameter$$
$$F = vector\ of\ frequencies$$
$$\chi = aperiodic\ slope$$
![](algorithm.png)

<div class="csl-entry">Donoghue, T., Haller, M., Peterson, E. J., Varma, P., Sebastian, P., Gao, R., Noto, T., Lara, A. H., Wallis, J. D., Knight, R. T., Shestyuk, A., &#38; Voytek, B. (2020). Parameterizing neural power spectra into periodic and aperiodic components. <i>Nature Neuroscience</i>, <i>23</i>(12), 1655–1665. https://doi.org/10.1038/s41593-020-00744-x</div>

## Individual Electrodes
![](../Frontal_fooof_plots_by_electrode/rest_056_resting_Fp1.png)
![](../Frontal_fooof_plots_by_electrode/rest_056_resting_Fp2.png)

## Entire Subject
![](../Frontal_fooof_plots_by_subject/056_resting.png)

# General Asymmetry Description
```{r general, fig.width = 12}
options(width = 100)
summary(alpha_asymmetry_data)
asymmetry_pairs <- c('asymmetry_Fp2_Fp1', 'asymmetry_AF4_AF3', 'asymmetry_AF8_AF7', 'asymmetry_F2_F1', 'asymmetry_F4_F3', 'asymmetry_F6_F5', 'asymmetry_F8_F7', 'asymmetry_FC2_FC1')
asymmetry_pairs_pairs <- ggpairs(alpha_asymmetry_data,
                       columns = asymmetry_pairs,
                       aes(colour = Group, alpha = .25),
                       progress = FALSE,
                       lower = list(continuous = wrap("points")))
suppressWarnings(print(asymmetry_pairs_pairs))
```

<!-- # Alpha Asymmetry =  $\log_{10}(\alpha_{right}) - \log_{10}(\alpha_{left})$ -->
# Alpha Asymmetry =  peak_power(right) - peak_power(left)

## Mixed Model

```{r mixed, fig.width = 12}
options(width = 100)
summary(alpha_asymmetry_data_long)
alpha_asymmetry_lmer = lmer(Asimmetry ~ Group*Sex + (1|Subject)  + (1|Electrodes), alpha_asymmetry_data_long)
afex_plot(
    alpha_asymmetry_lmer,
    x     = "Group",
    trace = "Sex",
    id    = "Subject",
    error_arg = list(width = .1),
    dodge = .3,
    data_arg  = list(
      position = 
        position_jitterdodge(
          jitter.width = .1, 
          dodge.width  = .3  ## needs to be same as dodge
        )),
    mapping = c("color"),
    point_arg = list(size = 4)
  )
summary(alpha_asymmetry_lmer)
model_performance(alpha_asymmetry_lmer)
ranova(alpha_asymmetry_lmer)
anova(alpha_asymmetry_lmer)
interpret(omega_squared(alpha_asymmetry_lmer, alternative = 'two.sided'), rules = 'field2013')
a_posteriori_lmer(alpha_asymmetry_lmer)
```

## Fp2-Fp1 pair

```{r asymmetry_Fp2_Fp1, fig.width = 12}
options(width = 100)
alpha_asymmetry_rep_anova = aov_ez("Subject", "asymmetry_Fp2_Fp1", alpha_asymmetry_data, between = c("Group", "Sex"))
mytable <- xtabs(~ Group + Sex, data = alpha_asymmetry_rep_anova$data$long)
ftable(addmargins(mytable))
# alpha_asymmetry_rain <- ggplot(alpha_asymmetry_rep_anova$data$long, aes(y = asymmetry_Fp2_Fp1, x = Group, color = Sex, fill = Sex)) +
#   # ggtitle("alpha_asymmetry") +
#   ylab("power") +
#   stat_halfeye(
#     trim   = FALSE, 
#     adjust = 1, 
#     .width = 0, 
#     justification = -.15, 
#     alpha  = .5,
#     point_colour = NA) + 
#   # theme(legend.position='none')
#   # geom_boxplot(width = .15, alpha = .2, outlier.shape = NA) +
#   geom_point(size = 2, alpha = .4, position = position_jitter(width = .05, height = 0)) 
# suppressWarnings(print(alpha_asymmetry_rain))
alpha_asymmetry_afex_plot <-
  afex_plot(
    alpha_asymmetry_rep_anova,
    x = "Group",
    trace = "Sex",
    error = "between",
    error_arg = list(width = .1),
    dodge = .3,
    data_arg  = list(
      position = 
        position_jitterdodge(
          jitter.width  = .1, 
          jitter.height = .1, 
          dodge.width   = .3  ## needs to be same as dodge
        )),
    mapping = c("color"),
    point_arg = list(size = 4)
  )
suppressWarnings(print(alpha_asymmetry_afex_plot))
nice(alpha_asymmetry_rep_anova)
a_posteriori(alpha_asymmetry_rep_anova)
```

## AF4-AF3 pair

```{r asymmetry_AF4_AF3, fig.width = 12}
options(width = 100)
alpha_asymmetry_rep_anova = aov_ez("Subject", "asymmetry_AF4_AF3", alpha_asymmetry_data, between = c("Group", "Sex"))
mytable <- xtabs(~ Group + Sex, data = alpha_asymmetry_rep_anova$data$long)
ftable(addmargins(mytable))
alpha_asymmetry_afex_plot <-
  afex_plot(
    alpha_asymmetry_rep_anova,
    x = "Group",
    trace = "Sex",
    error = "between",
    error_arg = list(width = .1),
    dodge = .3,
    data_arg  = list(
      position = 
        position_jitterdodge(
          jitter.width  = .1, 
          jitter.height = .1, 
          dodge.width   = .3  ## needs to be same as dodge
        )),
    mapping = c("color"),
    point_arg = list(size = 4)
  )
suppressWarnings(print(alpha_asymmetry_afex_plot))
nice(alpha_asymmetry_rep_anova)
a_posteriori(alpha_asymmetry_rep_anova)
```

## AF8-AF7 pair

```{r asymmetry_AF8_AF7, fig.width = 12}
options(width = 100)
alpha_asymmetry_rep_anova = aov_ez("Subject", "asymmetry_AF8_AF7", alpha_asymmetry_data, between = c("Group", "Sex"))
mytable <- xtabs(~ Group + Sex, data = alpha_asymmetry_rep_anova$data$long)
ftable(addmargins(mytable))
alpha_asymmetry_afex_plot <-
  afex_plot(
    alpha_asymmetry_rep_anova,
    x = "Group",
    trace = "Sex",
    error = "between",
    error_arg = list(width = .1),
    dodge = .3,
    data_arg  = list(
      position = 
        position_jitterdodge(
          jitter.width  = .1, 
          jitter.height = .1, 
          dodge.width   = .3  ## needs to be same as dodge
        )),
    mapping = c("color"),
    point_arg = list(size = 4)
  )
suppressWarnings(print(alpha_asymmetry_afex_plot))
nice(alpha_asymmetry_rep_anova)
a_posteriori(alpha_asymmetry_rep_anova)
```
## F2-F1 pair

```{r asymmetry_F2_F1, fig.width = 12}
options(width = 100)
alpha_asymmetry_rep_anova = aov_ez("Subject", "asymmetry_F2_F1", alpha_asymmetry_data, between = c("Group", "Sex"))
mytable <- xtabs(~ Group + Sex, data = alpha_asymmetry_rep_anova$data$long)
ftable(addmargins(mytable))
alpha_asymmetry_afex_plot <-
  afex_plot(
    alpha_asymmetry_rep_anova,
    x = "Group",
    trace = "Sex",
    error = "between",
    error_arg = list(width = .1),
    dodge = .3,
    data_arg  = list(
      position = 
        position_jitterdodge(
          jitter.width  = .1, 
          jitter.height = .1, 
          dodge.width   = .3  ## needs to be same as dodge
        )),
    mapping = c("color"),
    point_arg = list(size = 4)
  )
suppressWarnings(print(alpha_asymmetry_afex_plot))
nice(alpha_asymmetry_rep_anova)
a_posteriori(alpha_asymmetry_rep_anova)
```

## F4-F3 pair

```{r asymmetry_F4_F3, fig.width = 12}
options(width = 100)
alpha_asymmetry_rep_anova = aov_ez("Subject", "asymmetry_F4_F3", alpha_asymmetry_data, between = c("Group", "Sex"))
mytable <- xtabs(~ Group + Sex, data = alpha_asymmetry_rep_anova$data$long)
ftable(addmargins(mytable))
alpha_asymmetry_afex_plot <-
  afex_plot(
    alpha_asymmetry_rep_anova,
    x = "Group",
    trace = "Sex",
    error = "between",
    error_arg = list(width = .1),
    dodge = .3,
    data_arg  = list(
      position = 
        position_jitterdodge(
          jitter.width  = .1, 
          jitter.height = .1, 
          dodge.width   = .3  ## needs to be same as dodge
        )),
    mapping = c("color"),
    point_arg = list(size = 4)
  )
suppressWarnings(print(alpha_asymmetry_afex_plot))
nice(alpha_asymmetry_rep_anova)
a_posteriori(alpha_asymmetry_rep_anova)
```

## F6-F5 pair

```{r asymmetry_F6_F5, fig.width = 12}
options(width = 100)
alpha_asymmetry_rep_anova = aov_ez("Subject", "asymmetry_F6_F5", alpha_asymmetry_data, between = c("Group", "Sex"))
mytable <- xtabs(~ Group + Sex, data = alpha_asymmetry_rep_anova$data$long)
ftable(addmargins(mytable))
alpha_asymmetry_afex_plot <-
  afex_plot(
    alpha_asymmetry_rep_anova,
    x = "Group",
    trace = "Sex",
    error = "between",
    error_arg = list(width = .1),
    dodge = .3,
    data_arg  = list(
      position = 
        position_jitterdodge(
          jitter.width  = .1, 
          jitter.height = .1, 
          dodge.width   = .3  ## needs to be same as dodge
        )),
    mapping = c("color"),
    point_arg = list(size = 4)
  )
suppressWarnings(print(alpha_asymmetry_afex_plot))
nice(alpha_asymmetry_rep_anova)
a_posteriori(alpha_asymmetry_rep_anova)
```

## F8-F7 pair

```{r aasymmetry_F8_F7, fig.width = 12}
options(width = 100)
alpha_asymmetry_rep_anova = aov_ez("Subject", "asymmetry_F8_F7", alpha_asymmetry_data, between = c("Group", "Sex"))
mytable <- xtabs(~ Group + Sex, data = alpha_asymmetry_rep_anova$data$long)
ftable(addmargins(mytable))
alpha_asymmetry_afex_plot <-
  afex_plot(
    alpha_asymmetry_rep_anova,
    x = "Group",
    trace = "Sex",
    error = "between",
    error_arg = list(width = .1),
    dodge = .3,
    data_arg  = list(
      position = 
        position_jitterdodge(
          jitter.width  = .1, 
          jitter.height = .1, 
          dodge.width   = .3  ## needs to be same as dodge
        )),
    mapping = c("color"),
    point_arg = list(size = 4)
  )
suppressWarnings(print(alpha_asymmetry_afex_plot))
nice(alpha_asymmetry_rep_anova)
a_posteriori(alpha_asymmetry_rep_anova)
```

## FC2-FC1 pair

```{r asymmetry_FC2_FC1, fig.width = 12}
options(width = 100)
alpha_asymmetry_rep_anova = aov_ez("Subject", "asymmetry_FC2_FC1", alpha_asymmetry_data, between = c("Group", "Sex"))
mytable <- xtabs(~ Group + Sex, data = alpha_asymmetry_rep_anova$data$long)
ftable(addmargins(mytable))
alpha_asymmetry_afex_plot <-
  afex_plot(
    alpha_asymmetry_rep_anova,
    x = "Group",
    trace = "Sex",
    error = "between",
    error_arg = list(width = .1),
    dodge = .3,
    data_arg  = list(
      position = 
        position_jitterdodge(
          jitter.width  = .1, 
          jitter.height = .1, 
          dodge.width   = .3  ## needs to be same as dodge
        )),
    mapping = c("color"),
    point_arg = list(size = 4)
  )
suppressWarnings(print(alpha_asymmetry_afex_plot))
nice(alpha_asymmetry_rep_anova)
a_posteriori(alpha_asymmetry_rep_anova)
```

# Alpha peak parameters and aperiodic activity

```{r peak_params, fig.width = 12}
options(width = 100)
summary(alpha_power_data)
spec_params <- c('Amplitude', 'Frequency', 'Width', 'Offset', 'Slope')
spec_params_pairs <- ggpairs(alpha_power_data,
                       columns = spec_params,
                       aes(colour = Group, alpha = .25),
                       progress = FALSE,
                       lower = list(continuous = wrap("points")))
suppressWarnings(print(spec_params_pairs))
```

## Alpha Power

```{r alpha_power, fig.width = 12}
options(width = 100)
alpha_pow_rep_anova = aov_ez("Subject", "Amplitude", alpha_power_data, between = c("Group", "Sex"), within = c("hemisphere", "electrode_pair"))
mytable <- xtabs(~ Group + Sex, data = alpha_pow_rep_anova$data$long) / length(levels(alpha_pow_rep_anova$data$long$electrode_pair)) / length(levels(alpha_pow_rep_anova$data$long$hemisphere))
ftable(addmargins(mytable))
alpha_pow_afex_plot <-
  afex_plot(
    alpha_pow_rep_anova,
    x = "Group",
    trace = "Sex",
    panel = "hemisphere",
    error = "between",
    error_arg = list(width = .1),
    dodge = .3,
    data_arg  = list(
      position = 
        position_jitterdodge(
          jitter.width  = .1, 
          jitter.height = .1, 
          dodge.width   = .3  ## needs to be same as dodge
        )),
    mapping = c("color"),
    point_arg = list(size = 4)
  )
suppressWarnings(print(alpha_pow_afex_plot))
nice(alpha_pow_rep_anova)
# a_posteriori(alpha_pow_rep_anova)
emmeans(alpha_pow_rep_anova, pairwise ~ hemisphere | Group)
cat(rep("_", 80), '\n', sep = "")
emmeans(alpha_pow_rep_anova, pairwise ~ electrode_pair)
cat(rep("_", 80), '\n', sep = "")
emmeans(alpha_pow_rep_anova, pairwise ~ electrode_pair | hemisphere)
```

## Alpha Frequency

```{r alpha_frequency, fig.width = 12}
options(width = 100)
alpha_freq_rep_anova = aov_ez("Subject", "Frequency", alpha_power_data, between = c("Group", "Sex"), within = c("hemisphere", "electrode_pair"))
mytable <- xtabs(~ Group + Sex, data = alpha_freq_rep_anova$data$long) / length(levels(alpha_freq_rep_anova$data$long$electrode_pair)) / length(levels(alpha_freq_rep_anova$data$long$hemisphere))
ftable(addmargins(mytable))
alpha_freq_afex_plot <-
  afex_plot(
    alpha_freq_rep_anova,
    x = "Group",
    trace = "Sex",
    panel = "hemisphere",
    error = "between",
    error_arg = list(width = .1),
    dodge = .3,
    data_arg  = list(
      position = 
        position_jitterdodge(
          jitter.width  = .1, 
          jitter.height = .1, 
          dodge.width   = .3  ## needs to be same as dodge
        )),
    mapping = c("color"),
    point_arg = list(size = 4)
  )
suppressWarnings(print(alpha_freq_afex_plot))
nice(alpha_freq_rep_anova)
a_posteriori(alpha_freq_rep_anova)
```
## Alpha Bandwidth

```{r alpha_bandwidth, fig.width = 12}
options(width = 100)
alpha_bwd_rep_anova = aov_ez("Subject", "Width", alpha_power_data, between = c("Group", "Sex"), within = c("hemisphere", "electrode_pair"))
mytable <- xtabs(~ Group + Sex, data = alpha_bwd_rep_anova$data$long) / length(levels(alpha_bwd_rep_anova$data$long$electrode_pair)) / length(levels(alpha_bwd_rep_anova$data$long$hemisphere))
ftable(addmargins(mytable))
alpha_bwd_afex_plot <-
  afex_plot(
    alpha_bwd_rep_anova,
    x = "Group",
    trace = "Sex",
    panel = "hemisphere",
    error = "between",
    error_arg = list(width = .1),
    dodge = .3,
    data_arg  = list(
      position = 
        position_jitterdodge(
          jitter.width  = .1, 
          jitter.height = .1, 
          dodge.width   = .3  ## needs to be same as dodge
        )),
    mapping = c("color"),
    point_arg = list(size = 4)
  )
suppressWarnings(print(alpha_bwd_afex_plot))
nice(alpha_bwd_rep_anova)
a_posteriori(alpha_bwd_rep_anova)
```

## Aperiodic Offset

```{r aperiodic_offset, fig.width = 12}
options(width = 100)
aperiodic_offset_rep_anova = aov_ez("Subject", "Offset", alpha_power_data, between = c("Group", "Sex"), within = c("hemisphere", "electrode_pair"))
mytable <- xtabs(~ Group + Sex, data = aperiodic_offset_rep_anova$data$long) / length(levels(aperiodic_offset_rep_anova$data$long$electrode_pair)) / length(levels(aperiodic_offset_rep_anova$data$long$hemisphere))
ftable(addmargins(mytable))
aperiodic_param_afex_plot <-
  afex_plot(
    aperiodic_offset_rep_anova,
    x = "Group",
    trace = "Sex",
    panel = "hemisphere",
    error = "between",
    error_arg = list(width = .1),
    dodge = .3,
    data_arg  = list(
      position = 
        position_jitterdodge(
          jitter.width  = .1, 
          jitter.height = .1, 
          dodge.width   = .3  ## needs to be same as dodge
        )),
    mapping = c("color"),
    point_arg = list(size = 4)
  )
suppressWarnings(print(aperiodic_param_afex_plot))
nice(aperiodic_offset_rep_anova)
a_posteriori(aperiodic_offset_rep_anova)
```

## Aperiodic Slope

```{r aperiodic_slope, fig.width = 12}
options(width = 100)
aperiodic_slope_rep_anova = aov_ez("Subject", "Slope", alpha_power_data, between = c("Group", "Sex"), within = c("hemisphere", "electrode_pair"))
mytable <- xtabs(~ Group + Sex, data = aperiodic_slope_rep_anova$data$long) / length(levels(aperiodic_slope_rep_anova$data$long$electrode_pair)) / length(levels(aperiodic_slope_rep_anova$data$long$hemisphere))
ftable(addmargins(mytable))
aperiodic_param_afex_plot <-
  afex_plot(
    aperiodic_slope_rep_anova,
    x = "Group",
    trace = "Sex",
    panel = "hemisphere",
    error = "between",
    error_arg = list(width = .1),
    dodge = .3,
    data_arg  = list(
      position = 
        position_jitterdodge(
          jitter.width  = .1, 
          jitter.height = .1, 
          dodge.width   = .3  ## needs to be same as dodge
        )),
    mapping = c("color"),
    point_arg = list(size = 4)
  )
suppressWarnings(print(aperiodic_param_afex_plot))
nice(aperiodic_slope_rep_anova)
# a_posteriori(aperiodic_slope_rep_anova)
emmeans(aperiodic_slope_rep_anova, pairwise ~ Group)
cat(rep("_", 80), '\n', sep = "")
emmeans(aperiodic_slope_rep_anova, pairwise ~ Sex)
cat(rep("_", 80), '\n', sep = "")
emmeans(aperiodic_slope_rep_anova, pairwise ~ electrode_pair)
cat(rep("_", 80), '\n', sep = "")
emmeans(aperiodic_slope_rep_anova, pairwise ~ electrode_pair | Sex)
cat(rep("_", 80), '\n', sep = "")
emmeans(aperiodic_slope_rep_anova, pairwise ~ hemisphere | electrode_pair)
```
