#Load packages

## Warning: package 'readxl' was built under R version 4.2.2
## Warning: package 'haven' was built under R version 4.2.2
## Warning: package 'tidyr' was built under R version 4.2.2
## Warning: package 'tidyverse' was built under R version 4.2.2
## Warning: package 'ggplot2' was built under R version 4.2.2
## Warning: package 'readr' was built under R version 4.2.2
## Warning: package 'purrr' was built under R version 4.2.2
## Warning: package 'dplyr' was built under R version 4.2.2
## Warning: package 'stringr' was built under R version 4.2.2
## Warning: package 'forcats' was built under R version 4.2.2
## Warning: package 'lubridate' was built under R version 4.2.2
## ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
## ✔ dplyr     1.1.0     ✔ purrr     1.0.1
## ✔ forcats   1.0.0     ✔ readr     2.1.4
## ✔ ggplot2   3.4.1     ✔ stringr   1.5.0
## ✔ lubridate 1.9.2     ✔ tibble    3.1.8
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## ✖ dplyr::filter() masks stats::filter()
## ✖ dplyr::lag()    masks stats::lag()
## ℹ Use the ]8;;http://conflicted.r-lib.org/conflicted package]8;; to force all conflicts to become errors
## Warning: package 'lme4' was built under R version 4.2.2
## Loading required package: Matrix
## Warning: package 'Matrix' was built under R version 4.2.2
## 
## Attaching package: 'Matrix'
## 
## The following objects are masked from 'package:tidyr':
## 
##     expand, pack, unpack
## Warning: package 'effects' was built under R version 4.2.2
## Loading required package: carData
## Warning: package 'carData' was built under R version 4.2.2
## lattice theme set by effectsTheme()
## See ?effectsTheme for details.
## Warning: package 'car' was built under R version 4.2.2
## 
## Attaching package: 'car'
## 
## The following object is masked from 'package:dplyr':
## 
##     recode
## 
## The following object is masked from 'package:purrr':
## 
##     some
## Warning: package 'knitr' was built under R version 4.2.2
## Warning: package 'reshape2' was built under R version 4.2.2
## 
## Attaching package: 'reshape2'
## 
## The following object is masked from 'package:tidyr':
## 
##     smiths
## Warning: package 'DHARMa' was built under R version 4.2.2
## This is DHARMa 0.4.6. For overview type '?DHARMa'. For recent changes, type news(package = 'DHARMa')
## Warning: package 'phia' was built under R version 4.2.2
## Warning: package 'lsmeans' was built under R version 4.2.2
## Loading required package: emmeans
## Warning: package 'emmeans' was built under R version 4.2.2
## The 'lsmeans' package is now basically a front end for 'emmeans'.
## Users are encouraged to switch the rest of the way.
## See help('transition') for more information, including how to
## convert old 'lsmeans' objects and scripts to work with 'emmeans'.
## Warning: package 'multcomp' was built under R version 4.2.2
## Loading required package: mvtnorm
## Loading required package: survival
## Loading required package: TH.data
## Warning: package 'TH.data' was built under R version 4.2.2
## Loading required package: MASS
## 
## Attaching package: 'MASS'
## 
## The following object is masked from 'package:dplyr':
## 
##     select
## 
## 
## Attaching package: 'TH.data'
## 
## The following object is masked from 'package:MASS':
## 
##     geyser
## 
## 
## Attaching package: 'nlme'
## 
## The following object is masked from 'package:lme4':
## 
##     lmList
## 
## The following object is masked from 'package:dplyr':
## 
##     collapse
## Warning: package 'gplots' was built under R version 4.2.2
## 
## Attaching package: 'gplots'
## 
## The following object is masked from 'package:stats':
## 
##     lowess
## Warning: package 'htmltools' was built under R version 4.2.2
## Warning: package 'Hmisc' was built under R version 4.2.2
## Loading required package: Formula
## Warning: package 'Formula' was built under R version 4.2.2
## 
## Attaching package: 'Hmisc'
## 
## The following objects are masked from 'package:dplyr':
## 
##     src, summarize
## 
## The following objects are masked from 'package:base':
## 
##     format.pval, units
#Load dataframes
Behav <- read_excel("TIMEERROR.xlsx")
EMG <- read_excel("COACTIVATION TABLE 3.xlsx")

#Factors for EMG & Behav.

#Factors for Behav
Behav$PARTICIPANT <- factor(Behav$PARTICIPANT)
Behav$BLOCK <- factor(Behav$BLOCK)
Behav$CONDITION <- factor(Behav$CONDITION)

#Factors for EMG
EMG$PARTICIPANT <- factor(EMG$PARTICIPANT)
EMG$BLOCK <- factor(EMG$BLOCK)
EMG$PHASE <- factor(EMG$PHASE)
EMG$CONDITION <- factor(EMG$CONDITION)

Model Behav

#RT
m.RT <- lmer(TIME ~ BLOCK * CONDITION + (1|PARTICIPANT), data = Behav)
Anova(m.RT)
## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: TIME
##                    Chisq Df Pr(>Chisq)    
## BLOCK           143.7178  9     <2e-16 ***
## CONDITION         0.1392  1     0.7090    
## BLOCK:CONDITION   4.8662  9     0.8458    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(m.RT)
## Linear mixed model fit by REML ['lmerMod']
## Formula: TIME ~ BLOCK * CONDITION + (1 | PARTICIPANT)
##    Data: Behav
## 
## REML criterion at convergence: 3083.8
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -4.2352 -0.4917 -0.0123  0.4429  5.5761 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  PARTICIPANT (Intercept) 7783     88.22   
##  Residual                2028     45.03   
## Number of obs: 300, groups:  PARTICIPANT, 30
## 
## Fixed effects:
##                    Estimate Std. Error t value
## (Intercept)          320.88      25.57  12.547
## BLOCK2               -48.24      16.44  -2.934
## BLOCK3               -52.00      16.44  -3.162
## BLOCK4               -59.36      16.44  -3.610
## BLOCK5               -65.48      16.44  -3.982
## BLOCK6               -48.92      16.44  -2.975
## BLOCK7               -83.96      16.44  -5.106
## BLOCK8               -85.76      16.44  -5.215
## BLOCK9              -102.76      16.44  -6.249
## BLOCK10             -102.52      16.44  -6.234
## CONDITION2            12.72      36.17   0.352
## BLOCK2:CONDITION2     24.20      23.26   1.041
## BLOCK3:CONDITION2     12.32      23.26   0.530
## BLOCK4:CONDITION2      0.96      23.26   0.041
## BLOCK5:CONDITION2     -2.84      23.26  -0.122
## BLOCK6:CONDITION2    -18.76      23.26  -0.807
## BLOCK7:CONDITION2     -9.96      23.26  -0.428
## BLOCK8:CONDITION2     -5.28      23.26  -0.227
## BLOCK9:CONDITION2      3.08      23.26   0.132
## BLOCK10:CONDITION2    -9.16      23.26  -0.394
## 
## Correlation matrix not shown by default, as p = 20 > 12.
## Use print(x, correlation=TRUE)  or
##     vcov(x)        if you need it
#Errors
m.error <- lmer(ERRORS ~ BLOCK * CONDITION + (1|PARTICIPANT), data = Behav)
Anova(m.error)
## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: ERRORS
##                    Chisq Df Pr(>Chisq)    
## BLOCK           247.1471  9     <2e-16 ***
## CONDITION         0.5117  1     0.4744    
## BLOCK:CONDITION   5.2798  9     0.8093    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(m.error)
## Linear mixed model fit by REML ['lmerMod']
## Formula: ERRORS ~ BLOCK * CONDITION + (1 | PARTICIPANT)
##    Data: Behav
## 
## REML criterion at convergence: 2926.2
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.0335 -0.5440 -0.0325  0.5404  3.6496 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  PARTICIPANT (Intercept) 2664     51.61   
##  Residual                1220     34.93   
## Number of obs: 300, groups:  PARTICIPANT, 30
## 
## Fixed effects:
##                    Estimate Std. Error t value
## (Intercept)         239.000     16.091  14.853
## BLOCK2              -51.267     12.754  -4.020
## BLOCK3              -65.600     12.754  -5.144
## BLOCK4              -71.600     12.754  -5.614
## BLOCK5              -74.200     12.754  -5.818
## BLOCK6              -97.933     12.754  -7.679
## BLOCK7              -97.267     12.754  -7.626
## BLOCK8             -107.400     12.754  -8.421
## BLOCK9             -108.867     12.754  -8.536
## BLOCK10            -113.467     12.754  -8.897
## CONDITION2          -26.333     22.756  -1.157
## BLOCK2:CONDITION2    23.867     18.037   1.323
## BLOCK3:CONDITION2    12.867     18.037   0.713
## BLOCK4:CONDITION2    19.600     18.037   1.087
## BLOCK5:CONDITION2     3.333     18.037   0.185
## BLOCK6:CONDITION2     3.133     18.037   0.174
## BLOCK7:CONDITION2     1.133     18.037   0.063
## BLOCK8:CONDITION2    18.267     18.037   1.013
## BLOCK9:CONDITION2    24.933     18.037   1.382
## BLOCK10:CONDITION2   18.333     18.037   1.016
## 
## Correlation matrix not shown by default, as p = 20 > 12.
## Use print(x, correlation=TRUE)  or
##     vcov(x)        if you need it
#Check if errors is affecting RT, using simple LM not really needed as below is a mixed model.
m.errorRT <- lm(TIME ~ ERRORS, data = Behav)
Anova(m.errorRT)
## Anova Table (Type II tests)
## 
## Response: TIME
##            Sum Sq  Df F value    Pr(>F)    
## ERRORS     112897   1  11.418 0.0008244 ***
## Residuals 2946633 298                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(m.errorRT)
## 
## Call:
## lm(formula = TIME ~ ERRORS, data = Behav)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -184.86  -66.60   -8.38   56.36  452.27 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) 218.67161   14.06782  15.544  < 2e-16 ***
## ERRORS        0.28300    0.08375   3.379 0.000824 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 99.44 on 298 degrees of freedom
## Multiple R-squared:  0.0369, Adjusted R-squared:  0.03367 
## F-statistic: 11.42 on 1 and 298 DF,  p-value: 0.0008244
plot(m.errorRT)

#RT * Error model
m.RT.ER <- lmer(TIME ~ BLOCK * CONDITION * ERRORS + (1|PARTICIPANT), data = Behav)
Anova(m.RT.ER)
## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: TIME
##                          Chisq Df Pr(>Chisq)    
## BLOCK                  53.1673  9  2.717e-08 ***
## CONDITION               0.2282  1   0.632872    
## ERRORS                 11.0919  1   0.000867 ***
## BLOCK:CONDITION         2.3138  9   0.985480    
## BLOCK:ERRORS            1.4964  9   0.997173    
## CONDITION:ERRORS        0.9029  1   0.342009    
## BLOCK:CONDITION:ERRORS  7.0006  9   0.637062    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(m.RT.ER)
## Linear mixed model fit by REML ['lmerMod']
## Formula: TIME ~ BLOCK * CONDITION * ERRORS + (1 | PARTICIPANT)
##    Data: Behav
## 
## REML criterion at convergence: 3086.3
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -4.2203 -0.4645 -0.0056  0.4070  5.1291 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  PARTICIPANT (Intercept) 7950     89.16   
##  Residual                2017     44.91   
## Number of obs: 300, groups:  PARTICIPANT, 30
## 
## Fixed effects:
##                             Estimate Std. Error t value
## (Intercept)                254.41268   49.37244   5.153
## BLOCK2                      -4.59144   50.59842  -0.091
## BLOCK3                      10.28548   52.39018   0.196
## BLOCK4                      -1.10420   48.98079  -0.023
## BLOCK5                     -34.23324   49.05395  -0.698
## BLOCK6                      -9.59480   46.04440  -0.208
## BLOCK7                     -55.39388   49.83086  -1.112
## BLOCK8                     -78.18337   57.94078  -1.349
## BLOCK9                    -105.66953   51.44698  -2.054
## BLOCK10                    -80.78868   54.07831  -1.494
## CONDITION2                   8.85264   63.66348   0.139
## ERRORS                       0.27811    0.17619   1.578
## BLOCK2:CONDITION2           -7.03963   65.99368  -0.107
## BLOCK3:CONDITION2          -51.73719   69.46090  -0.745
## BLOCK4:CONDITION2          -77.59512   68.41105  -1.134
## BLOCK5:CONDITION2          -15.47391   68.80140  -0.225
## BLOCK6:CONDITION2          -27.41962   66.59408  -0.412
## BLOCK7:CONDITION2           23.25460   68.22655   0.341
## BLOCK8:CONDITION2           18.16966   72.87285   0.249
## BLOCK9:CONDITION2           36.49737   68.36537   0.534
## BLOCK10:CONDITION2          38.80660   72.57065   0.535
## BLOCK2:ERRORS               -0.15656    0.22481  -0.696
## BLOCK3:ERRORS               -0.25399    0.24708  -1.028
## BLOCK4:ERRORS               -0.22905    0.22618  -1.013
## BLOCK5:ERRORS               -0.06439    0.22991  -0.280
## BLOCK6:ERRORS               -0.08570    0.21425  -0.400
## BLOCK7:ERRORS               -0.01069    0.25972  -0.041
## BLOCK8:ERRORS                0.16939    0.35828   0.473
## BLOCK9:ERRORS                0.25502    0.29512   0.864
## BLOCK10:ERRORS               0.07826    0.33196   0.236
## CONDITION2:ERRORS            0.05262    0.22819   0.231
## BLOCK2:CONDITION2:ERRORS     0.13849    0.29928   0.463
## BLOCK3:CONDITION2:ERRORS     0.37411    0.34528   1.084
## BLOCK4:CONDITION2:ERRORS     0.46244    0.34223   1.351
## BLOCK5:CONDITION2:ERRORS     0.09841    0.36769   0.268
## BLOCK6:CONDITION2:ERRORS     0.09153    0.39747   0.230
## BLOCK7:CONDITION2:ERRORS    -0.24663    0.41053  -0.601
## BLOCK8:CONDITION2:ERRORS    -0.18192    0.45413  -0.401
## BLOCK9:CONDITION2:ERRORS    -0.27637    0.40321  -0.685
## BLOCK10:CONDITION2:ERRORS   -0.40357    0.47185  -0.855
## 
## Correlation matrix not shown by default, as p = 40 > 12.
## Use print(x, correlation=TRUE)  or
##     vcov(x)        if you need it
#I only see a Block * Time and BLock * Errors interaction. and later then I run the 3-way I see a Time and Errors interaction.  I don't see any significant interactions by condition.

#Here I will just perform the emmeans on the 1st model
emmeans(m.RT, pairwise ~ CONDITION | BLOCK)
## $emmeans
## BLOCK = 1:
##  CONDITION emmean   SE df lower.CL upper.CL
##  1            321 25.6 42      269      372
##  2            334 25.6 42      282      385
## 
## BLOCK = 2:
##  CONDITION emmean   SE df lower.CL upper.CL
##  1            273 25.6 42      221      324
##  2            310 25.6 42      258      361
## 
## BLOCK = 3:
##  CONDITION emmean   SE df lower.CL upper.CL
##  1            269 25.6 42      217      320
##  2            294 25.6 42      242      346
## 
## BLOCK = 4:
##  CONDITION emmean   SE df lower.CL upper.CL
##  1            262 25.6 42      210      313
##  2            275 25.6 42      224      327
## 
## BLOCK = 5:
##  CONDITION emmean   SE df lower.CL upper.CL
##  1            255 25.6 42      204      307
##  2            265 25.6 42      214      317
## 
## BLOCK = 6:
##  CONDITION emmean   SE df lower.CL upper.CL
##  1            272 25.6 42      220      324
##  2            266 25.6 42      214      318
## 
## BLOCK = 7:
##  CONDITION emmean   SE df lower.CL upper.CL
##  1            237 25.6 42      185      289
##  2            240 25.6 42      188      291
## 
## BLOCK = 8:
##  CONDITION emmean   SE df lower.CL upper.CL
##  1            235 25.6 42      184      287
##  2            243 25.6 42      191      294
## 
## BLOCK = 9:
##  CONDITION emmean   SE df lower.CL upper.CL
##  1            218 25.6 42      167      270
##  2            234 25.6 42      182      286
## 
## BLOCK = 10:
##  CONDITION emmean   SE df lower.CL upper.CL
##  1            218 25.6 42      167      270
##  2            222 25.6 42      170      274
## 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
## BLOCK = 1:
##  contrast                estimate   SE df t.ratio p.value
##  CONDITION1 - CONDITION2   -12.72 36.2 42  -0.352  0.7268
## 
## BLOCK = 2:
##  contrast                estimate   SE df t.ratio p.value
##  CONDITION1 - CONDITION2   -36.92 36.2 42  -1.021  0.3132
## 
## BLOCK = 3:
##  contrast                estimate   SE df t.ratio p.value
##  CONDITION1 - CONDITION2   -25.04 36.2 42  -0.692  0.4925
## 
## BLOCK = 4:
##  contrast                estimate   SE df t.ratio p.value
##  CONDITION1 - CONDITION2   -13.68 36.2 42  -0.378  0.7072
## 
## BLOCK = 5:
##  contrast                estimate   SE df t.ratio p.value
##  CONDITION1 - CONDITION2    -9.88 36.2 42  -0.273  0.7861
## 
## BLOCK = 6:
##  contrast                estimate   SE df t.ratio p.value
##  CONDITION1 - CONDITION2     6.04 36.2 42   0.167  0.8682
## 
## BLOCK = 7:
##  contrast                estimate   SE df t.ratio p.value
##  CONDITION1 - CONDITION2    -2.76 36.2 42  -0.076  0.9395
## 
## BLOCK = 8:
##  contrast                estimate   SE df t.ratio p.value
##  CONDITION1 - CONDITION2    -7.44 36.2 42  -0.206  0.8380
## 
## BLOCK = 9:
##  contrast                estimate   SE df t.ratio p.value
##  CONDITION1 - CONDITION2   -15.80 36.2 42  -0.437  0.6645
## 
## BLOCK = 10:
##  contrast                estimate   SE df t.ratio p.value
##  CONDITION1 - CONDITION2    -3.56 36.2 42  -0.098  0.9221
## 
## Degrees-of-freedom method: kenward-roger
#You can see of course results corraborates that we don't have a condition and Block intereaction
#then if you just check on the block level.
emmeans(m.RT, pairwise ~ BLOCK)
## NOTE: Results may be misleading due to involvement in interactions
## $emmeans
##  BLOCK emmean   SE df lower.CL upper.CL
##  1        327 18.1 42      291      364
##  2        291 18.1 42      255      328
##  3        281 18.1 42      245      318
##  4        268 18.1 42      232      305
##  5        260 18.1 42      224      297
##  6        269 18.1 42      232      305
##  7        238 18.1 42      202      275
##  8        239 18.1 42      202      275
##  9        226 18.1 42      190      263
##  10       220 18.1 42      184      257
## 
## Results are averaged over the levels of: CONDITION 
## Degrees-of-freedom method: kenward-roger 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast         estimate   SE  df t.ratio p.value
##  BLOCK1 - BLOCK2     36.14 11.6 252   3.108  0.0636
##  BLOCK1 - BLOCK3     45.84 11.6 252   3.942  0.0041
##  BLOCK1 - BLOCK4     58.88 11.6 252   5.064  <.0001
##  BLOCK1 - BLOCK5     66.90 11.6 252   5.753  <.0001
##  BLOCK1 - BLOCK6     58.30 11.6 252   5.014  <.0001
##  BLOCK1 - BLOCK7     88.94 11.6 252   7.649  <.0001
##  BLOCK1 - BLOCK8     88.40 11.6 252   7.603  <.0001
##  BLOCK1 - BLOCK9    101.22 11.6 252   8.705  <.0001
##  BLOCK1 - BLOCK10   107.10 11.6 252   9.211  <.0001
##  BLOCK2 - BLOCK3      9.70 11.6 252   0.834  0.9980
##  BLOCK2 - BLOCK4     22.74 11.6 252   1.956  0.6308
##  BLOCK2 - BLOCK5     30.76 11.6 252   2.645  0.2024
##  BLOCK2 - BLOCK6     22.16 11.6 252   1.906  0.6652
##  BLOCK2 - BLOCK7     52.80 11.6 252   4.541  0.0004
##  BLOCK2 - BLOCK8     52.26 11.6 252   4.494  0.0004
##  BLOCK2 - BLOCK9     65.08 11.6 252   5.597  <.0001
##  BLOCK2 - BLOCK10    70.96 11.6 252   6.103  <.0001
##  BLOCK3 - BLOCK4     13.04 11.6 252   1.121  0.9821
##  BLOCK3 - BLOCK5     21.06 11.6 252   1.811  0.7276
##  BLOCK3 - BLOCK6     12.46 11.6 252   1.072  0.9870
##  BLOCK3 - BLOCK7     43.10 11.6 252   3.707  0.0096
##  BLOCK3 - BLOCK8     42.56 11.6 252   3.660  0.0112
##  BLOCK3 - BLOCK9     55.38 11.6 252   4.763  0.0001
##  BLOCK3 - BLOCK10    61.26 11.6 252   5.268  <.0001
##  BLOCK4 - BLOCK5      8.02 11.6 252   0.690  0.9996
##  BLOCK4 - BLOCK6     -0.58 11.6 252  -0.050  1.0000
##  BLOCK4 - BLOCK7     30.06 11.6 252   2.585  0.2302
##  BLOCK4 - BLOCK8     29.52 11.6 252   2.539  0.2532
##  BLOCK4 - BLOCK9     42.34 11.6 252   3.641  0.0120
##  BLOCK4 - BLOCK10    48.22 11.6 252   4.147  0.0019
##  BLOCK5 - BLOCK6     -8.60 11.6 252  -0.740  0.9992
##  BLOCK5 - BLOCK7     22.04 11.6 252   1.895  0.6722
##  BLOCK5 - BLOCK8     21.50 11.6 252   1.849  0.7031
##  BLOCK5 - BLOCK9     34.32 11.6 252   2.952  0.0972
##  BLOCK5 - BLOCK10    40.20 11.6 252   3.457  0.0221
##  BLOCK6 - BLOCK7     30.64 11.6 252   2.635  0.2070
##  BLOCK6 - BLOCK8     30.10 11.6 252   2.589  0.2285
##  BLOCK6 - BLOCK9     42.92 11.6 252   3.691  0.0101
##  BLOCK6 - BLOCK10    48.80 11.6 252   4.197  0.0015
##  BLOCK7 - BLOCK8     -0.54 11.6 252  -0.046  1.0000
##  BLOCK7 - BLOCK9     12.28 11.6 252   1.056  0.9883
##  BLOCK7 - BLOCK10    18.16 11.6 252   1.562  0.8651
##  BLOCK8 - BLOCK9     12.82 11.6 252   1.103  0.9841
##  BLOCK8 - BLOCK10    18.70 11.6 252   1.608  0.8432
##  BLOCK9 - BLOCK10     5.88 11.6 252   0.506  1.0000
## 
## Results are averaged over the levels of: CONDITION 
## Degrees-of-freedom method: kenward-roger 
## P value adjustment: tukey method for comparing a family of 10 estimates
#You do see that there are significant differences between the blocks, in that block 10 is faster than block 1.

Effects and Plots

#Effects just on the RT model
ae.m.RT<-allEffects(m.RT)
ae.m.RT.df<-as.data.frame(ae.m.RT[[1]])
plot(ae.m.RT)

#The plot
plot.m.RT <- ggplot(ae.m.RT.df, aes(x=BLOCK, y=fit, group=CONDITION))+
  geom_ribbon(aes(ymin=lower, ymax=upper, fill=CONDITION), alpha = 0.2) +
  geom_line(aes(color=CONDITION), linewidth = 1) +
  geom_point(aes(color=CONDITION, shape=CONDITION), size = 3.5)+
  ylab("Response Time (s)")+
  xlab("Blocks")+
  ggtitle("Response time between groups")+
  theme_classic()
  #facet_wrap(~BLOCK * CONDITION) not needed here

print (plot.m.RT)

EMG

#Coactivation
m.coact <- lmer(COACTIVATION.INDEX ~ BLOCK * CONDITION * PHASE + (1|PARTICIPANT), data = EMG)
Anova(m.coact)
## Analysis of Deviance Table (Type II Wald chisquare tests)
## 
## Response: COACTIVATION.INDEX
##                         Chisq Df Pr(>Chisq)    
## BLOCK                 14.6702  9     0.1004    
## CONDITION              0.9161  1     0.3385    
## PHASE                 70.4279  9  1.255e-11 ***
## BLOCK:CONDITION       14.5032  9     0.1055    
## BLOCK:PHASE           72.5833 81     0.7366    
## CONDITION:PHASE        8.6894  9     0.4664    
## BLOCK:CONDITION:PHASE 73.1454 81     0.7209    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(m.coact)
## Linear mixed model fit by REML ['lmerMod']
## Formula: COACTIVATION.INDEX ~ BLOCK * CONDITION * PHASE + (1 | PARTICIPANT)
##    Data: EMG
## 
## REML criterion at convergence: 133291.6
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
##  -4.762  -0.008   0.004   0.028 104.872 
## 
## Random effects:
##  Groups      Name        Variance Std.Dev.
##  PARTICIPANT (Intercept)   4.441   2.107  
##  Residual                610.271  24.704  
## Number of obs: 14510, groups:  PARTICIPANT, 30
## 
## Fixed effects:
##                               Estimate Std. Error t value
## (Intercept)                  1.013e+02  2.923e+00  34.656
## BLOCK2                      -1.324e+00  4.075e+00  -0.325
## BLOCK3                       1.287e-01  4.061e+00   0.032
## BLOCK4                       2.212e-04  4.048e+00   0.000
## BLOCK5                       2.130e-02  4.048e+00   0.005
## BLOCK6                      -5.560e-02  4.061e+00  -0.014
## BLOCK7                       1.296e-01  4.048e+00   0.032
## BLOCK8                       2.893e-02  4.075e+00   0.007
## BLOCK9                      -4.285e-02  4.048e+00  -0.011
## BLOCK10                     -4.690e-02  4.048e+00  -0.012
## CONDITION1                  -1.313e-01  4.147e+00  -0.032
## PHASE20                      1.224e-01  4.089e+00   0.030
## PHASE30                     -2.582e+00  4.048e+00  -0.638
## PHASE40                     -2.818e-02  4.048e+00  -0.007
## PHASE50                     -2.682e+00  4.075e+00  -0.658
## PHASE60                     -4.090e-02  4.061e+00  -0.010
## PHASE70                     -2.575e+00  4.075e+00  -0.632
## PHASE80                      2.106e-01  4.061e+00   0.052
## PHASE90                     -2.645e+00  4.075e+00  -0.649
## PHASE100                    -2.566e+00  4.312e+00  -0.595
## BLOCK2:CONDITION1            1.141e+00  5.763e+00   0.198
## BLOCK3:CONDITION1            6.243e-01  5.753e+00   0.109
## BLOCK4:CONDITION1           -3.968e-01  5.734e+00  -0.069
## BLOCK5:CONDITION1            3.054e+00  5.734e+00   0.533
## BLOCK6:CONDITION1           -4.002e-01  5.763e+00  -0.069
## BLOCK7:CONDITION1            1.041e+00  5.744e+00   0.181
## BLOCK8:CONDITION1            6.881e-01  5.754e+00   0.120
## BLOCK9:CONDITION1            3.550e+01  5.754e+00   6.170
## BLOCK10:CONDITION1          -6.719e-01  5.734e+00  -0.117
## BLOCK2:PHASE20               1.143e+00  5.783e+00   0.198
## BLOCK3:PHASE20              -8.556e-02  5.754e+00  -0.015
## BLOCK4:PHASE20              -2.209e-01  5.744e+00  -0.038
## BLOCK5:PHASE20              -1.547e-01  5.744e+00  -0.027
## BLOCK6:PHASE20               7.978e-02  5.754e+00   0.014
## BLOCK7:PHASE20              -2.896e-01  5.744e+00  -0.050
## BLOCK8:PHASE20              -1.845e-01  5.783e+00  -0.032
## BLOCK9:PHASE20              -7.681e-02  5.744e+00  -0.013
## BLOCK10:PHASE20             -3.063e-02  5.744e+00  -0.005
## BLOCK2:PHASE30               1.516e+00  5.774e+00   0.263
## BLOCK3:PHASE30              -1.021e-01  5.744e+00  -0.018
## BLOCK4:PHASE30               8.491e-03  5.715e+00   0.001
## BLOCK5:PHASE30               6.137e-02  5.715e+00   0.011
## BLOCK6:PHASE30               1.029e-01  5.724e+00   0.018
## BLOCK7:PHASE30              -1.724e-01  5.715e+00  -0.030
## BLOCK8:PHASE30              -2.754e-02  5.754e+00  -0.005
## BLOCK9:PHASE30               5.534e-02  5.715e+00   0.010
## BLOCK10:PHASE30              7.281e-02  5.715e+00   0.013
## BLOCK2:PHASE40               1.575e+00  5.754e+00   0.274
## BLOCK3:PHASE40              -1.028e-01  5.744e+00  -0.018
## BLOCK4:PHASE40               5.188e-02  5.715e+00   0.009
## BLOCK5:PHASE40               2.157e-02  5.715e+00   0.004
## BLOCK6:PHASE40               7.237e-02  5.724e+00   0.013
## BLOCK7:PHASE40              -3.242e-01  5.715e+00  -0.057
## BLOCK8:PHASE40              -6.692e-02  5.754e+00  -0.012
## BLOCK9:PHASE40               4.439e-02  5.715e+00   0.008
## BLOCK10:PHASE40              1.290e-01  5.715e+00   0.023
## BLOCK2:PHASE50               1.221e+00  5.773e+00   0.211
## BLOCK3:PHASE50              -2.256e-02  5.744e+00  -0.004
## BLOCK4:PHASE50               5.689e-02  5.734e+00   0.010
## BLOCK5:PHASE50               2.118e-01  5.734e+00   0.037
## BLOCK6:PHASE50               1.495e-01  5.744e+00   0.026
## BLOCK7:PHASE50              -1.025e-01  5.734e+00  -0.018
## BLOCK8:PHASE50              -4.778e-02  5.783e+00  -0.008
## BLOCK9:PHASE50               1.206e-01  5.734e+00   0.021
## BLOCK10:PHASE50              1.870e-01  5.744e+00   0.033
## BLOCK2:PHASE60               1.400e+00  5.763e+00   0.243
## BLOCK3:PHASE60              -1.241e+00  5.734e+00  -0.216
## BLOCK4:PHASE60               6.348e-03  5.734e+00   0.001
## BLOCK5:PHASE60               1.740e-01  5.724e+00   0.030
## BLOCK6:PHASE60              -6.633e-03  5.734e+00  -0.001
## BLOCK7:PHASE60              -1.375e-01  5.724e+00  -0.024
## BLOCK8:PHASE60               1.809e-01  5.784e+00   0.031
## BLOCK9:PHASE60               9.197e-02  5.724e+00   0.016
## BLOCK10:PHASE60              1.908e-01  5.724e+00   0.033
## BLOCK2:PHASE70               1.318e+00  5.783e+00   0.228
## BLOCK3:PHASE70              -2.017e-01  5.763e+00  -0.035
## BLOCK4:PHASE70              -2.411e-02  5.744e+00  -0.004
## BLOCK5:PHASE70              -1.858e-01  5.734e+00  -0.032
## BLOCK6:PHASE70               1.223e-01  5.753e+00   0.021
## BLOCK7:PHASE70              -3.501e-01  5.754e+00  -0.061
## BLOCK8:PHASE70              -2.006e-02  5.783e+00  -0.003
## BLOCK9:PHASE70              -3.060e-03  5.754e+00  -0.001
## BLOCK10:PHASE70              4.818e-02  5.744e+00   0.008
## BLOCK2:PHASE80               1.170e+00  5.773e+00   0.203
## BLOCK3:PHASE80              -3.920e-01  5.734e+00  -0.068
## BLOCK4:PHASE80              -1.222e-01  5.724e+00  -0.021
## BLOCK5:PHASE80              -2.231e-01  5.724e+00  -0.039
## BLOCK6:PHASE80              -1.218e-01  5.734e+00  -0.021
## BLOCK7:PHASE80              -3.510e-01  5.734e+00  -0.061
## BLOCK8:PHASE80              -2.066e-01  5.773e+00  -0.036
## BLOCK9:PHASE80              -1.899e-01  5.744e+00  -0.033
## BLOCK10:PHASE80             -1.825e-01  5.724e+00  -0.032
## BLOCK2:PHASE90               1.404e+00  5.783e+00   0.243
## BLOCK3:PHASE90              -6.145e-02  5.744e+00  -0.011
## BLOCK4:PHASE90               1.486e-01  5.744e+00   0.026
## BLOCK5:PHASE90               6.287e-02  5.734e+00   0.011
## BLOCK6:PHASE90               1.547e-01  5.744e+00   0.027
## BLOCK7:PHASE90              -4.203e-02  5.734e+00  -0.007
## BLOCK8:PHASE90              -2.283e-02  5.783e+00  -0.004
## BLOCK9:PHASE90               1.401e-01  5.734e+00   0.024
## BLOCK10:PHASE90              9.656e-02  5.744e+00   0.017
## BLOCK2:PHASE100              1.349e+00  6.122e+00   0.220
## BLOCK3:PHASE100             -6.985e-02  6.083e+00  -0.011
## BLOCK4:PHASE100             -6.823e-02  6.074e+00  -0.011
## BLOCK5:PHASE100              3.519e-02  6.074e+00   0.006
## BLOCK6:PHASE100              7.238e-02  6.083e+00   0.012
## BLOCK7:PHASE100             -1.836e-01  6.074e+00  -0.030
## BLOCK8:PHASE100              8.337e-02  6.121e+00   0.014
## BLOCK9:PHASE100              8.290e-02  6.089e+00   0.014
## BLOCK10:PHASE100             6.892e-02  6.074e+00   0.011
## CONDITION1:PHASE20          -7.775e-02  5.773e+00  -0.013
## CONDITION1:PHASE30           2.582e-01  5.744e+00   0.045
## CONDITION1:PHASE40           2.673e-02  5.744e+00   0.005
## CONDITION1:PHASE50           3.930e-01  5.773e+00   0.068
## CONDITION1:PHASE60           1.658e-01  5.763e+00   0.029
## CONDITION1:PHASE70          -3.562e-04  5.773e+00   0.000
## CONDITION1:PHASE80          -2.727e-01  5.763e+00  -0.047
## CONDITION1:PHASE90           2.529e-01  5.793e+00   0.044
## CONDITION1:PHASE100         -1.134e-01  6.107e+00  -0.019
## BLOCK2:CONDITION1:PHASE20   -1.586e+00  8.157e+00  -0.194
## BLOCK3:CONDITION1:PHASE20   -1.141e+00  8.130e+00  -0.140
## BLOCK4:CONDITION1:PHASE20    9.170e-01  8.117e+00   0.113
## BLOCK5:CONDITION1:PHASE20   -3.333e+00  8.123e+00  -0.410
## BLOCK6:CONDITION1:PHASE20    6.669e-01  8.151e+00   0.082
## BLOCK7:CONDITION1:PHASE20   -7.893e-01  8.130e+00  -0.097
## BLOCK8:CONDITION1:PHASE20    5.912e-01  8.151e+00   0.073
## BLOCK9:CONDITION1:PHASE20   -3.053e+01  8.130e+00  -3.756
## BLOCK10:CONDITION1:PHASE20   2.071e+00  8.117e+00   0.255
## BLOCK2:CONDITION1:PHASE30   -1.571e+00  8.151e+00  -0.193
## BLOCK3:CONDITION1:PHASE30   -8.171e-01  8.137e+00  -0.100
## BLOCK4:CONDITION1:PHASE30    2.815e-01  8.096e+00   0.035
## BLOCK5:CONDITION1:PHASE30   -3.396e+00  8.102e+00  -0.419
## BLOCK6:CONDITION1:PHASE30    2.120e-01  8.130e+00   0.026
## BLOCK7:CONDITION1:PHASE30   -8.896e-01  8.116e+00  -0.110
## BLOCK8:CONDITION1:PHASE30   -3.036e+00  8.123e+00  -0.374
## BLOCK9:CONDITION1:PHASE30   -3.723e+01  8.109e+00  -4.591
## BLOCK10:CONDITION1:PHASE30   1.514e+00  8.096e+00   0.187
## BLOCK2:CONDITION1:PHASE40   -1.186e-02  8.137e+00  -0.001
## BLOCK3:CONDITION1:PHASE40   -7.341e-01  8.123e+00  -0.090
## BLOCK4:CONDITION1:PHASE40    3.593e-01  8.102e+00   0.044
## BLOCK5:CONDITION1:PHASE40   -1.491e+00  8.102e+00  -0.184
## BLOCK6:CONDITION1:PHASE40    4.804e-01  8.123e+00   0.059
## BLOCK7:CONDITION1:PHASE40   -2.077e+00  8.123e+00  -0.256
## BLOCK8:CONDITION1:PHASE40    1.455e+01  8.130e+00   1.790
## BLOCK9:CONDITION1:PHASE40   -3.021e+01  8.109e+00  -3.725
## BLOCK10:CONDITION1:PHASE40  -1.237e-01  8.096e+00  -0.015
## BLOCK2:CONDITION1:PHASE50   -1.440e+00  8.164e+00  -0.176
## BLOCK3:CONDITION1:PHASE50   -1.346e+00  8.137e+00  -0.165
## BLOCK4:CONDITION1:PHASE50    2.542e-01  8.123e+00   0.031
## BLOCK5:CONDITION1:PHASE50   -3.531e+00  8.130e+00  -0.434
## BLOCK6:CONDITION1:PHASE50    1.265e-01  8.144e+00   0.016
## BLOCK7:CONDITION1:PHASE50   -1.142e+00  8.130e+00  -0.140
## BLOCK8:CONDITION1:PHASE50   -4.450e-01  8.151e+00  -0.055
## BLOCK9:CONDITION1:PHASE50   -3.632e+01  8.130e+00  -4.468
## BLOCK10:CONDITION1:PHASE50   3.265e+00  8.123e+00   0.402
## BLOCK2:CONDITION1:PHASE60   -1.680e+00  8.157e+00  -0.206
## BLOCK3:CONDITION1:PHASE60    7.170e-01  8.123e+00   0.088
## BLOCK4:CONDITION1:PHASE60    6.228e-01  8.116e+00   0.077
## BLOCK5:CONDITION1:PHASE60   -3.348e+00  8.116e+00  -0.413
## BLOCK6:CONDITION1:PHASE60    2.880e-01  8.137e+00   0.035
## BLOCK7:CONDITION1:PHASE60   -1.546e+00  8.130e+00  -0.190
## BLOCK8:CONDITION1:PHASE60    1.402e+00  8.151e+00   0.172
## BLOCK9:CONDITION1:PHASE60   -3.534e+01  8.123e+00  -4.350
## BLOCK10:CONDITION1:PHASE60   4.316e+00  8.116e+00   0.532
## BLOCK2:CONDITION1:PHASE70   -2.134e+00  8.178e+00  -0.261
## BLOCK3:CONDITION1:PHASE70   -3.171e-01  8.144e+00  -0.039
## BLOCK4:CONDITION1:PHASE70    5.840e-01  8.123e+00   0.072
## BLOCK5:CONDITION1:PHASE70   -2.780e+00  8.130e+00  -0.342
## BLOCK6:CONDITION1:PHASE70    5.234e-01  8.150e+00   0.064
## BLOCK7:CONDITION1:PHASE70   -7.969e-01  8.144e+00  -0.098
## BLOCK8:CONDITION1:PHASE70   -6.945e-01  8.151e+00  -0.085
## BLOCK9:CONDITION1:PHASE70   -3.335e+01  8.151e+00  -4.091
## BLOCK10:CONDITION1:PHASE70   9.537e-01  8.123e+00   0.117
## BLOCK2:CONDITION1:PHASE80   -3.059e-01  8.179e+00  -0.037
## BLOCK3:CONDITION1:PHASE80   -1.618e-01  8.130e+00  -0.020
## BLOCK4:CONDITION1:PHASE80   -8.319e-01  8.123e+00  -0.102
## BLOCK5:CONDITION1:PHASE80   -2.669e+00  8.116e+00  -0.329
## BLOCK6:CONDITION1:PHASE80   -6.322e-01  8.144e+00  -0.078
## BLOCK7:CONDITION1:PHASE80    2.143e+00  8.130e+00   0.264
## BLOCK8:CONDITION1:PHASE80    1.946e+00  8.151e+00   0.239
## BLOCK9:CONDITION1:PHASE80   -2.881e+01  8.144e+00  -3.538
## BLOCK10:CONDITION1:PHASE80   1.636e+00  8.109e+00   0.202
## BLOCK2:CONDITION1:PHASE90   -1.240e+00  8.193e+00  -0.151
## BLOCK3:CONDITION1:PHASE90   -7.183e-01  8.151e+00  -0.088
## BLOCK4:CONDITION1:PHASE90    1.080e-01  8.151e+00   0.013
## BLOCK5:CONDITION1:PHASE90   -3.207e+00  8.145e+00  -0.394
## BLOCK6:CONDITION1:PHASE90    2.377e-01  8.165e+00   0.029
## BLOCK7:CONDITION1:PHASE90   -1.178e+00  8.151e+00  -0.145
## BLOCK8:CONDITION1:PHASE90    8.358e-01  8.172e+00   0.102
## BLOCK9:CONDITION1:PHASE90   -3.697e+01  8.145e+00  -4.540
## BLOCK10:CONDITION1:PHASE90   7.312e-01  8.138e+00   0.090
## BLOCK2:CONDITION1:PHASE100  -4.926e-01  8.647e+00  -0.057
## BLOCK3:CONDITION1:PHASE100  -4.821e-01  8.620e+00  -0.056
## BLOCK4:CONDITION1:PHASE100   6.053e-01  8.597e+00   0.070
## BLOCK5:CONDITION1:PHASE100  -2.908e+00  8.607e+00  -0.338
## BLOCK6:CONDITION1:PHASE100   6.513e-01  8.626e+00   0.076
## BLOCK7:CONDITION1:PHASE100  -7.604e-01  8.635e+00  -0.088
## BLOCK8:CONDITION1:PHASE100   2.345e-01  8.630e+00   0.027
## BLOCK9:CONDITION1:PHASE100  -3.596e+01  8.620e+00  -4.172
## BLOCK10:CONDITION1:PHASE100  1.710e+00  8.597e+00   0.199
## 
## Correlation matrix not shown by default, as p = 200 > 12.
## Use print(x, correlation=TRUE)  or
##     vcov(x)        if you need it
#Hi there are errors in your COACTIVATION file.  Basically at the 100% line of every participant if you check your original file, there is a Warning.  So that made the Participant into 514 levels which is not true.  I suggest you check your original dataframes and how you found those interactions because I didn't find any after I filtered out the warning lines. 

#If you fix it then maybe you can continue the same way as above and try and reach the plots as well as above on your own.