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library(ARTool)
library(emmeans)
source("./keytime-setup.R")

measured_runs <- read_keytime_runs(measured_only = TRUE)
trusted_participants_runs <- measured_runs %>% filter(is_participant_trusted)

1 Attention Check

measured_runs %>% count(suggestions_type, is_participant_trusted)

2 Nasa TLX

long_nasa_data <- trusted_participants_runs %>%
  gather(
    key = "nasa_question",
    value = "nasa_value",
    factor_key = TRUE,
    effort,
    frustration,
    performance,
    mental_demand,
    physical_demand,
    temporal_demand
  ) %>%
  mutate(
    nasa_question = nasa_question %>% as_factor(),
    question_label = nasa_question %>%
      recode(
        mental_demand = "Mental Demand",
        physical_demand = "Physical Demand",
        temporal_demand = "Temporal Demand",
        performance = "Overall Performance",
        effort = "Effort",
        frustration = "Frustration Level"
      )
  ) %>%
  select(
    participant,
    keytime,
    accuracy,
    nasa_question,
    question_label,
    nasa_value,
    suggestions_type
  )

plot_nasa <- function(filtered_nasa_data) {
  nasa_labels = rep('', 20)
  nasa_labels[20] = "High"
  nasa_labels[1] = "Low"
  
  pd <- position_dodge(0.1)
  ggplot(
    data = filtered_nasa_data,
    aes(
      x = accuracy,
      y = nasa_value,
      color = keytime,
      fill = keytime
      # group = keytime
    )
  ) +
    expand_limits(y = c(5, 100)) +
    SCALE_COLOR_KEY_STROKE_DISCRETE +
    SCALE_FILL_KEY_STROKE_DISCRETE +
    SCALE_X_ACCURACY_DISCRETE +
    # custom_line(position=pd) +
    # custom_pointrange(position=pd) +
    scale_y_continuous("", breaks = seq(5, 100, 5), labels = nasa_labels) +
    # guides(color = guide_legend(override.aes = list(linetype = 0))) +
    geom_boxplot(outlier.shape = NA) +
    # THEME_BOTTOM_LEGEND +
    theme(
      axis.title.y = element_blank(),
      strip.text = element_text(margin = margin(
        t = 0,
        l = 0,
        b = 2,
        r = 0
      )),
      # We need to add a right margin to prevent the legend to stick out, and a negative top
      # margin because I have not been able to bring that legend close to the plot in any other way.
      legend.margin = margin(
        r = 0,
        t = -2,
        l = 0,
        unit = "mm"
      )
    ) +
    facet_wrap(vars(question_label)) +
    THEME_BOTTOM_LEGEND
}

2.1 Inline Suggestions

inline_nasa_plot <- plot_nasa(long_nasa_data %>% filter(suggestions_type == INLINE_SUGGESTION_TYPE))

ggsave(
  graph_path("nasa-tlx-inline.pdf"),
  plot = inline_nasa_plot,
  width = FULL_WIDTH,
  height = (FULL_WIDTH - 20) / GOLDEN_RATIO,
  units = "mm",
  device = cairo_pdf
)

inline_nasa_plot

for(q in levels(long_nasa_data$nasa_question)){
  nasa_q_data <- long_nasa_data %>%
    filter(nasa_question == q & suggestions_type == INLINE_SUGGESTION_TYPE) %>% 
    select(participant, nasa_value, accuracy, keytime, nasa_question)
  m_nasa = art(nasa_value ~ keytime * accuracy, data=nasa_q_data)

  message(paste('\n==============', q, ' (INLINE)=============='))
  
  message('-------- anova --------')
  m <- anova(m_nasa, type = 2)
  print(m)
  anova_tible <- anova_to_tibble(m) %>%
    mutate(question = q,
           scale = "nasa-tlx",
           suggestions = "inline")
  
  if (exists("all_anovas")) {
    all_anovas <- union_all(all_anovas, anova_tible)
  } else {
    all_anovas <- anova_tible
  }
  
  message('-------- contrasts key stroke (INLINE) --------')
  print(emmeans(artlm(m_nasa, "keytime"), pairwise ~ keytime))

  message('-------- contrasts accuracy (INLINE) --------')
  print(emmeans(artlm(m_nasa, "accuracy"), pairwise ~ accuracy))
}

============== effort  (INLINE)==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(nasa_value)

                   Df Df.res F value  Pr(>F)  
1 keytime           3    580 0.36459 0.77860  
2 accuracy          4    580 0.76329 0.54942  
3 keytime:accuracy 12    580 0.41903 0.95630  
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts key stroke (INLINE) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 keytime emmean   SE  df lower.CL upper.CL
 0          288 14.4 580      260      317
 50         302 14.4 580      273      330
 100        303 14.3 580      275      331
 200        309 14.2 580      281      337

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

$contrasts
 contrast                estimate   SE  df t.ratio p.value
 keytime0 - keytime50      -13.15 20.4 580  -0.644  0.9178
 keytime0 - keytime100     -14.80 20.4 580  -0.727  0.8861
 keytime0 - keytime200     -20.55 20.2 580  -1.016  0.7401
 keytime50 - keytime100     -1.66 20.4 580  -0.082  0.9998
 keytime50 - keytime200     -7.41 20.2 580  -0.366  0.9832
 keytime100 - keytime200    -5.75 20.2 580  -0.285  0.9919

Results are averaged over the levels of: accuracy 
P value adjustment: tukey method for comparing a family of 4 estimates 
-------- contrasts accuracy (INLINE) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 accuracy emmean   SE  df lower.CL upper.CL
 0.1         309 15.9 580      277      340
 0.3         311 16.1 580      279      343
 0.5         305 16.1 580      273      336
 0.7         303 15.8 580      272      334
 0.9         276 16.1 580      244      308

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

$contrasts
 contrast                  estimate   SE  df t.ratio p.value
 accuracy0.1 - accuracy0.3    -2.25 22.7 580  -0.099  1.0000
 accuracy0.1 - accuracy0.5     4.08 22.6 580   0.180  0.9998
 accuracy0.1 - accuracy0.7     6.13 22.4 580   0.274  0.9988
 accuracy0.1 - accuracy0.9    32.86 22.7 580   1.448  0.5967
 accuracy0.3 - accuracy0.5     6.33 22.8 580   0.278  0.9987
 accuracy0.3 - accuracy0.7     8.38 22.6 580   0.371  0.9959
 accuracy0.3 - accuracy0.9    35.11 22.8 580   1.537  0.5385
 accuracy0.5 - accuracy0.7     2.06 22.5 580   0.091  1.0000
 accuracy0.5 - accuracy0.9    28.78 22.8 580   1.263  0.7139
 accuracy0.7 - accuracy0.9    26.73 22.6 580   1.184  0.7605

Results are averaged over the levels of: keytime 
P value adjustment: tukey method for comparing a family of 5 estimates 

============== frustration  (INLINE)==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(nasa_value)

                   Df Df.res F value     Pr(>F)    
1 keytime           3    580 26.5557 4.1730e-16 ***
2 accuracy          4    580  6.3917 4.8879e-05 ***
3 keytime:accuracy 12    580  1.3334    0.19497    
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts key stroke (INLINE) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 keytime emmean   SE  df lower.CL upper.CL
 0          209 13.6 580      182      236
 50         285 13.6 580      258      312
 100        369 13.5 580      343      395
 200        336 13.3 580      310      363

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

$contrasts
 contrast                estimate   SE  df t.ratio p.value
 keytime0 - keytime50       -76.0 19.2 580  -3.957  0.0005
 keytime0 - keytime100     -159.9 19.1 580  -8.353  <.0001
 keytime0 - keytime200     -127.2 19.0 580  -6.687  <.0001
 keytime50 - keytime100     -83.9 19.1 580  -4.382  0.0001
 keytime50 - keytime200     -51.2 19.0 580  -2.692  0.0366
 keytime100 - keytime200     32.6 19.0 580   1.722  0.3133

Results are averaged over the levels of: accuracy 
P value adjustment: tukey method for comparing a family of 4 estimates 
-------- contrasts accuracy (INLINE) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 accuracy emmean   SE  df lower.CL upper.CL
 0.1         349 15.7 580      318      380
 0.3         310 15.9 580      278      341
 0.5         310 15.8 580      278      341
 0.7         294 15.5 580      264      325
 0.9         239 15.9 580      208      270

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

$contrasts
 contrast                  estimate   SE  df t.ratio p.value
 accuracy0.1 - accuracy0.3  39.5789 22.3 580   1.775  0.3894
 accuracy0.1 - accuracy0.5  39.6777 22.3 580   1.783  0.3844
 accuracy0.1 - accuracy0.7  55.0629 22.0 580   2.498  0.0924
 accuracy0.1 - accuracy0.9 110.3004 22.3 580   4.946  <.0001
 accuracy0.3 - accuracy0.5   0.0988 22.4 580   0.004  1.0000
 accuracy0.3 - accuracy0.7  15.4840 22.2 580   0.698  0.9569
 accuracy0.3 - accuracy0.9  70.7214 22.4 580   3.151  0.0147
 accuracy0.5 - accuracy0.7  15.3852 22.1 580   0.695  0.9575
 accuracy0.5 - accuracy0.9  70.6226 22.4 580   3.153  0.0146
 accuracy0.7 - accuracy0.9  55.2374 22.2 580   2.490  0.0943

Results are averaged over the levels of: keytime 
P value adjustment: tukey method for comparing a family of 5 estimates 

============== performance  (INLINE)==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(nasa_value)

                   Df Df.res F value  Pr(>F)  
1 keytime           3    580  1.9034 0.12786  
2 accuracy          4    580  1.4427 0.21842  
3 keytime:accuracy 12    580  1.2272 0.26016  
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts key stroke (INLINE) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 keytime emmean   SE  df lower.CL upper.CL
 0          293 14.4 580      265      321
 50         316 14.4 580      287      344
 100        317 14.3 580      289      346
 200        277 14.1 580      249      304

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

$contrasts
 contrast                estimate   SE  df t.ratio p.value
 keytime0 - keytime50      -22.76 20.4 580  -1.117  0.6791
 keytime0 - keytime100     -24.54 20.3 580  -1.209  0.6214
 keytime0 - keytime200      16.38 20.2 580   0.812  0.8490
 keytime50 - keytime100     -1.78 20.3 580  -0.088  0.9998
 keytime50 - keytime200     39.15 20.2 580   1.939  0.2128
 keytime100 - keytime200    40.93 20.1 580   2.035  0.1763

Results are averaged over the levels of: accuracy 
P value adjustment: tukey method for comparing a family of 4 estimates 
-------- contrasts accuracy (INLINE) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 accuracy emmean   SE  df lower.CL upper.CL
 0.1         306 15.9 580      274      337
 0.3         328 16.1 580      296      360
 0.5         275 16.1 580      243      306
 0.7         300 15.8 580      269      331
 0.9         293 16.1 580      262      325

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

$contrasts
 contrast                  estimate   SE  df t.ratio p.value
 accuracy0.1 - accuracy0.3   -22.24 22.7 580  -0.981  0.8640
 accuracy0.1 - accuracy0.5    31.03 22.6 580   1.372  0.6461
 accuracy0.1 - accuracy0.7     5.46 22.4 580   0.244  0.9992
 accuracy0.1 - accuracy0.9    12.30 22.7 580   0.542  0.9828
 accuracy0.3 - accuracy0.5    53.26 22.8 580   2.339  0.1340
 accuracy0.3 - accuracy0.7    27.70 22.6 580   1.228  0.7350
 accuracy0.3 - accuracy0.9    34.53 22.8 580   1.513  0.5542
 accuracy0.5 - accuracy0.7   -25.57 22.5 580  -1.136  0.7872
 accuracy0.5 - accuracy0.9   -18.73 22.8 580  -0.823  0.9236
 accuracy0.7 - accuracy0.9     6.84 22.6 580   0.303  0.9982

Results are averaged over the levels of: keytime 
P value adjustment: tukey method for comparing a family of 5 estimates 

============== mental_demand  (INLINE)==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(nasa_value)

                   Df Df.res F value    Pr(>F)   
1 keytime           3    580 4.63251 0.0032729 **
2 accuracy          4    580 0.45274 0.7704255   
3 keytime:accuracy 12    580 1.25785 0.2398539   
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts key stroke (INLINE) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 keytime emmean   SE  df lower.CL upper.CL
 0          257 14.3 580      229      285
 50         302 14.3 580      274      330
 100        327 14.2 580      299      355
 200        316 14.0 580      288      343

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

$contrasts
 contrast                estimate   SE  df t.ratio p.value
 keytime0 - keytime50       -45.0 20.2 580  -2.222  0.1185
 keytime0 - keytime100      -69.8 20.2 580  -3.462  0.0032
 keytime0 - keytime200      -58.8 20.0 580  -2.936  0.0181
 keytime50 - keytime100     -24.8 20.2 580  -1.232  0.6070
 keytime50 - keytime200     -13.9 20.0 580  -0.692  0.9000
 keytime100 - keytime200     11.0 20.0 580   0.548  0.9469

Results are averaged over the levels of: accuracy 
P value adjustment: tukey method for comparing a family of 4 estimates 
-------- contrasts accuracy (INLINE) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 accuracy emmean   SE  df lower.CL upper.CL
 0.1         298 16.0 580      267      330
 0.3         291 16.2 580      260      323
 0.5         297 16.1 580      265      328
 0.7         319 15.8 580      288      350
 0.9         296 16.2 580      265      328

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

$contrasts
 contrast                  estimate   SE  df t.ratio p.value
 accuracy0.1 - accuracy0.3    7.051 22.8 580   0.310  0.9980
 accuracy0.1 - accuracy0.5    1.669 22.7 580   0.074  1.0000
 accuracy0.1 - accuracy0.7  -20.422 22.5 580  -0.908  0.8938
 accuracy0.1 - accuracy0.9    2.024 22.8 580   0.089  1.0000
 accuracy0.3 - accuracy0.5   -5.382 22.9 580  -0.236  0.9993
 accuracy0.3 - accuracy0.7  -27.473 22.6 580  -1.214  0.7435
 accuracy0.3 - accuracy0.9   -5.027 22.9 580  -0.219  0.9995
 accuracy0.5 - accuracy0.7  -22.091 22.6 580  -0.978  0.8651
 accuracy0.5 - accuracy0.9    0.355 22.9 580   0.016  1.0000
 accuracy0.7 - accuracy0.9   22.446 22.6 580   0.992  0.8591

Results are averaged over the levels of: keytime 
P value adjustment: tukey method for comparing a family of 5 estimates 

============== physical_demand  (INLINE)==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(nasa_value)

                   Df Df.res F value   Pr(>F)  
1 keytime           3    580  2.8117 0.038752 *
2 accuracy          4    580  2.3457 0.053502 .
3 keytime:accuracy 12    580  1.4972 0.120476  
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts key stroke (INLINE) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 keytime emmean   SE  df lower.CL upper.CL
 0          275 14.4 580      246      303
 50         301 14.4 580      273      329
 100        294 14.3 580      266      322
 200        332 14.1 580      304      359

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

$contrasts
 contrast                estimate   SE  df t.ratio p.value
 keytime0 - keytime50       -26.2 20.3 580  -1.290  0.5698
 keytime0 - keytime100      -18.9 20.3 580  -0.934  0.7866
 keytime0 - keytime200      -57.1 20.1 580  -2.837  0.0243
 keytime50 - keytime100       7.3 20.3 580   0.361  0.9840
 keytime50 - keytime200     -30.9 20.1 580  -1.535  0.4171
 keytime100 - keytime200    -38.2 20.1 580  -1.905  0.2271

Results are averaged over the levels of: accuracy 
P value adjustment: tukey method for comparing a family of 4 estimates 
-------- contrasts accuracy (INLINE) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 accuracy emmean   SE  df lower.CL upper.CL
 0.1         318 15.9 580      287      350
 0.3         286 16.1 580      254      317
 0.5         335 16.0 580      303      366
 0.7         285 15.7 580      254      315
 0.9         279 16.1 580      248      311

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

$contrasts
 contrast                  estimate   SE  df t.ratio p.value
 accuracy0.1 - accuracy0.3    32.67 22.6 580   1.445  0.5986
 accuracy0.1 - accuracy0.5   -16.23 22.6 580  -0.720  0.9519
 accuracy0.1 - accuracy0.7    33.81 22.3 580   1.513  0.5541
 accuracy0.1 - accuracy0.9    39.13 22.6 580   1.731  0.4157
 accuracy0.3 - accuracy0.5   -48.90 22.7 580  -2.154  0.1988
 accuracy0.3 - accuracy0.7     1.14 22.5 580   0.051  1.0000
 accuracy0.3 - accuracy0.9     6.46 22.7 580   0.284  0.9986
 accuracy0.5 - accuracy0.7    50.04 22.4 580   2.231  0.1698
 accuracy0.5 - accuracy0.9    55.36 22.7 580   2.439  0.1065
 accuracy0.7 - accuracy0.9     5.32 22.5 580   0.237  0.9993

Results are averaged over the levels of: keytime 
P value adjustment: tukey method for comparing a family of 5 estimates 

============== temporal_demand  (INLINE)==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(nasa_value)

                   Df Df.res F value    Pr(>F)   
1 keytime           3    580 4.73851 0.0028297 **
2 accuracy          4    580 1.60195 0.1722718   
3 keytime:accuracy 12    580 0.49826 0.9161010   
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts key stroke (INLINE) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 keytime emmean   SE  df lower.CL upper.CL
 0          322 14.3 580      294      350
 50         325 14.3 580      297      353
 100        298 14.2 580      270      326
 200        259 14.0 580      231      286

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

$contrasts
 contrast                estimate   SE  df t.ratio p.value
 keytime0 - keytime50       -3.66 20.2 580  -0.181  0.9979
 keytime0 - keytime100      23.74 20.2 580   1.177  0.6415
 keytime0 - keytime200      63.19 20.0 580   3.152  0.0092
 keytime50 - keytime100     27.40 20.2 580   1.359  0.5260
 keytime50 - keytime200     66.85 20.1 580   3.334  0.0050
 keytime100 - keytime200    39.45 20.0 580   1.975  0.1987

Results are averaged over the levels of: accuracy 
P value adjustment: tukey method for comparing a family of 4 estimates 
-------- contrasts accuracy (INLINE) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 accuracy emmean   SE  df lower.CL upper.CL
 0.1         271 15.9 580      240      303
 0.3         301 16.1 580      270      333
 0.5         295 16.1 580      264      327
 0.7         327 15.8 580      296      358
 0.9         307 16.1 580      276      339

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

$contrasts
 contrast                  estimate   SE  df t.ratio p.value
 accuracy0.1 - accuracy0.3   -29.87 22.7 580  -1.318  0.6803
 accuracy0.1 - accuracy0.5   -24.08 22.6 580  -1.065  0.8245
 accuracy0.1 - accuracy0.7   -55.38 22.4 580  -2.472  0.0984
 accuracy0.1 - accuracy0.9   -35.92 22.7 580  -1.584  0.5080
 accuracy0.3 - accuracy0.5     5.79 22.8 580   0.254  0.9991
 accuracy0.3 - accuracy0.7   -25.51 22.5 580  -1.131  0.7900
 accuracy0.3 - accuracy0.9    -6.05 22.8 580  -0.265  0.9989
 accuracy0.5 - accuracy0.7   -31.30 22.5 580  -1.391  0.6335
 accuracy0.5 - accuracy0.9   -11.84 22.8 580  -0.520  0.9853
 accuracy0.7 - accuracy0.9    19.46 22.5 580   0.863  0.9102

Results are averaged over the levels of: keytime 
P value adjustment: tukey method for comparing a family of 5 estimates 

2.2 Bar Suggestions

bar_nasa_plot <- plot_nasa(long_nasa_data %>% filter(suggestions_type == BAR_SUGGESTION_TYPE))

ggsave(
  graph_path("nasa-tlx-bar.pdf"),
  plot = bar_nasa_plot,
  width = FULL_WIDTH,
  height = (FULL_WIDTH - 20) / GOLDEN_RATIO,
  units = "mm",
  device = cairo_pdf
)

inline_nasa_plot

for(q in levels(long_nasa_data$nasa_question)){
  nasa_q_data <- long_nasa_data %>%
    filter(nasa_question == q &
             suggestions_type == BAR_SUGGESTION_TYPE) %>% 
    select(participant, nasa_value, accuracy, keytime, nasa_question)
  m_nasa = art(nasa_value ~ keytime * accuracy, data=nasa_q_data)

  message(paste('\n==============', q, ' (BAR) =============='))
  
  message('-------- anova --------')
  m <- anova(m_nasa, type = 2)
  print(m)
  anova_tible <- anova_to_tibble(m) %>%
    mutate(question = q,
           scale = "nasa-tlx",
           suggestions = "bar")
  
  if (exists("all_anovas")) {
    all_anovas <- union_all(all_anovas, anova_tible)
  } else {
    all_anovas <- anova_tible
  }
  
  message('-------- contrasts key stroke (BAR) --------')
  print(emmeans(artlm(m_nasa, "keytime"), pairwise ~ keytime))

  message('-------- contrasts accuracy (BAR) --------')
  print(emmeans(artlm(m_nasa, "accuracy"), pairwise ~ accuracy))
}

============== effort  (BAR) ==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(nasa_value)

                   Df Df.res F value   Pr(>F)  
1 keytime           3    561  2.0382 0.107453  
2 accuracy          4    561  2.1202 0.076969 .
3 keytime:accuracy 12    561  1.3405 0.191196  
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts key stroke (BAR) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 keytime emmean   SE  df lower.CL upper.CL
 0          264 14.2 561      236      292
 50         288 14.1 561      261      316
 100        301 14.0 561      273      328
 200        310 13.9 561      283      337

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

$contrasts
 contrast                estimate   SE  df t.ratio p.value
 keytime0 - keytime50      -24.80 20.0 561  -1.239  0.6023
 keytime0 - keytime100     -37.19 19.9 561  -1.865  0.2444
 keytime0 - keytime200     -46.33 19.9 561  -2.332  0.0921
 keytime50 - keytime100    -12.38 19.9 561  -0.622  0.9252
 keytime50 - keytime200    -21.53 19.9 561  -1.085  0.6991
 keytime100 - keytime200    -9.15 19.8 561  -0.463  0.9671

Results are averaged over the levels of: accuracy 
P value adjustment: tukey method for comparing a family of 4 estimates 
-------- contrasts accuracy (BAR) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 accuracy emmean   SE  df lower.CL upper.CL
 0.1         306 15.6 561      275      336
 0.3         317 15.7 561      287      348
 0.5         287 15.6 561      256      317
 0.7         289 15.9 561      257      320
 0.9         257 15.6 561      227      288

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

$contrasts
 contrast                  estimate   SE  df t.ratio p.value
 accuracy0.1 - accuracy0.3   -11.81 22.2 561  -0.533  0.9839
 accuracy0.1 - accuracy0.5    18.87 22.1 561   0.855  0.9130
 accuracy0.1 - accuracy0.7    17.05 22.3 561   0.764  0.9408
 accuracy0.1 - accuracy0.9    48.31 22.1 561   2.184  0.1871
 accuracy0.3 - accuracy0.5    30.68 22.1 561   1.387  0.6361
 accuracy0.3 - accuracy0.7    28.86 22.4 561   1.290  0.6973
 accuracy0.3 - accuracy0.9    60.12 22.2 561   2.713  0.0534
 accuracy0.5 - accuracy0.7    -1.82 22.3 561  -0.082  1.0000
 accuracy0.5 - accuracy0.9    29.44 22.1 561   1.334  0.6700
 accuracy0.7 - accuracy0.9    31.26 22.3 561   1.400  0.6278

Results are averaged over the levels of: keytime 
P value adjustment: tukey method for comparing a family of 5 estimates 

============== frustration  (BAR) ==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(nasa_value)

                   Df Df.res  F value     Pr(>F)    
1 keytime           3    561 16.88614 1.6319e-10 ***
2 accuracy          4    561  6.34349 5.3656e-05 ***
3 keytime:accuracy 12    561  0.78158    0.66982    
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts key stroke (BAR) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 keytime emmean   SE  df lower.CL upper.CL
 0          218 13.7 561      191      244
 50         276 13.6 561      249      302
 100        333 13.5 561      307      360
 200        335 13.4 561      309      362

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

$contrasts
 contrast                estimate   SE  df t.ratio p.value
 keytime0 - keytime50      -58.12 19.3 561  -3.009  0.0145
 keytime0 - keytime100    -115.60 19.2 561  -6.010  <.0001
 keytime0 - keytime200    -117.65 19.2 561  -6.138  <.0001
 keytime50 - keytime100    -57.48 19.2 561  -2.992  0.0153
 keytime50 - keytime200    -59.54 19.1 561  -3.109  0.0106
 keytime100 - keytime200    -2.05 19.1 561  -0.108  0.9996

Results are averaged over the levels of: accuracy 
P value adjustment: tukey method for comparing a family of 4 estimates 
-------- contrasts accuracy (BAR) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 accuracy emmean   SE  df lower.CL upper.CL
 0.1         319 15.4 561      288      349
 0.3         321 15.5 561      291      351
 0.5         308 15.4 561      278      338
 0.7         279 15.7 561      248      309
 0.9         228 15.4 561      198      259

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

$contrasts
 contrast                  estimate   SE  df t.ratio p.value
 accuracy0.1 - accuracy0.3    -2.49 21.9 561  -0.114  1.0000
 accuracy0.1 - accuracy0.5    10.22 21.8 561   0.469  0.9901
 accuracy0.1 - accuracy0.7    39.93 22.0 561   1.812  0.3676
 accuracy0.1 - accuracy0.9    90.30 21.8 561   4.136  0.0004
 accuracy0.3 - accuracy0.5    12.71 21.8 561   0.582  0.9777
 accuracy0.3 - accuracy0.7    42.42 22.1 561   1.921  0.3073
 accuracy0.3 - accuracy0.9    92.79 21.9 561   4.241  0.0003
 accuracy0.5 - accuracy0.7    29.71 22.0 561   1.351  0.6591
 accuracy0.5 - accuracy0.9    80.08 21.8 561   3.676  0.0024
 accuracy0.7 - accuracy0.9    50.37 22.0 561   2.286  0.1510

Results are averaged over the levels of: keytime 
P value adjustment: tukey method for comparing a family of 5 estimates 

============== performance  (BAR) ==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(nasa_value)

                   Df Df.res F value   Pr(>F)  
1 keytime           3    561  2.2062 0.086344 .
2 accuracy          4    561  3.1688 0.013660 *
3 keytime:accuracy 12    561  1.9361 0.028008 *
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts key stroke (BAR) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 keytime emmean   SE  df lower.CL upper.CL
 0          267 14.2 561      239      295
 50         306 14.2 561      279      334
 100        310 14.0 561      283      338
 200        280 13.9 561      253      308

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

$contrasts
 contrast                estimate   SE  df t.ratio p.value
 keytime0 - keytime50      -39.78 20.0 561  -1.984  0.1952
 keytime0 - keytime100     -43.64 20.0 561  -2.186  0.1284
 keytime0 - keytime200     -13.68 19.9 561  -0.687  0.9019
 keytime50 - keytime100     -3.87 19.9 561  -0.194  0.9974
 keytime50 - keytime200     26.10 19.9 561   1.313  0.5551
 keytime100 - keytime200    29.96 19.8 561   1.514  0.4299

Results are averaged over the levels of: accuracy 
P value adjustment: tukey method for comparing a family of 4 estimates 
-------- contrasts accuracy (BAR) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 accuracy emmean   SE  df lower.CL upper.CL
 0.1         275 15.6 561      244      306
 0.3         289 15.7 561      258      320
 0.5         313 15.5 561      283      344
 0.7         324 15.9 561      292      355
 0.9         255 15.6 561      224      286

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

$contrasts
 contrast                  estimate   SE  df t.ratio p.value
 accuracy0.1 - accuracy0.3    -14.2 22.1 561  -0.641  0.9683
 accuracy0.1 - accuracy0.5    -38.2 22.0 561  -1.734  0.4139
 accuracy0.1 - accuracy0.7    -48.7 22.3 561  -2.185  0.1868
 accuracy0.1 - accuracy0.9     20.1 22.1 561   0.911  0.8927
 accuracy0.3 - accuracy0.5    -24.0 22.1 561  -1.088  0.8127
 accuracy0.3 - accuracy0.7    -34.5 22.3 561  -1.546  0.5330
 accuracy0.3 - accuracy0.9     34.3 22.1 561   1.550  0.5304
 accuracy0.5 - accuracy0.7    -10.5 22.2 561  -0.472  0.9898
 accuracy0.5 - accuracy0.9     58.3 22.0 561   2.647  0.0635
 accuracy0.7 - accuracy0.9     68.8 22.3 561   3.088  0.0180

Results are averaged over the levels of: keytime 
P value adjustment: tukey method for comparing a family of 5 estimates 

============== mental_demand  (BAR) ==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(nasa_value)

                   Df Df.res F value     Pr(>F)    
1 keytime           3    561 8.47427 1.6314e-05 ***
2 accuracy          4    561 1.82722    0.12207    
3 keytime:accuracy 12    561 0.84141    0.60754    
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts key stroke (BAR) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 keytime emmean   SE  df lower.CL upper.CL
 0          236 14.0 561      208      263
 50         287 13.9 561      259      314
 100        312 13.8 561      285      339
 200        328 13.7 561      301      355

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

$contrasts
 contrast                estimate   SE  df t.ratio p.value
 keytime0 - keytime50       -51.2 19.7 561  -2.599  0.0472
 keytime0 - keytime100      -76.0 19.6 561  -3.873  0.0007
 keytime0 - keytime200      -92.4 19.6 561  -4.724  <.0001
 keytime50 - keytime100     -24.8 19.6 561  -1.265  0.5857
 keytime50 - keytime200     -41.2 19.5 561  -2.107  0.1520
 keytime100 - keytime200    -16.4 19.5 561  -0.841  0.8347

Results are averaged over the levels of: accuracy 
P value adjustment: tukey method for comparing a family of 4 estimates 
-------- contrasts accuracy (BAR) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 accuracy emmean   SE  df lower.CL upper.CL
 0.1         298 15.7 561      267      329
 0.3         290 15.7 561      259      320
 0.5         302 15.6 561      272      333
 0.7         310 16.0 561      279      342
 0.9         256 15.7 561      225      286

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

$contrasts
 contrast                  estimate   SE  df t.ratio p.value
 accuracy0.1 - accuracy0.3     8.52 22.2 561   0.383  0.9954
 accuracy0.1 - accuracy0.5    -4.23 22.1 561  -0.191  0.9997
 accuracy0.1 - accuracy0.7   -12.19 22.4 561  -0.545  0.9826
 accuracy0.1 - accuracy0.9    42.44 22.2 561   1.914  0.3111
 accuracy0.3 - accuracy0.5   -12.75 22.2 561  -0.575  0.9787
 accuracy0.3 - accuracy0.7   -20.71 22.4 561  -0.923  0.8878
 accuracy0.3 - accuracy0.9    33.92 22.2 561   1.526  0.5457
 accuracy0.5 - accuracy0.7    -7.96 22.3 561  -0.357  0.9965
 accuracy0.5 - accuracy0.9    46.66 22.1 561   2.109  0.2175
 accuracy0.7 - accuracy0.9    54.63 22.4 561   2.441  0.1061

Results are averaged over the levels of: keytime 
P value adjustment: tukey method for comparing a family of 5 estimates 

============== physical_demand  (BAR) ==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(nasa_value)

                   Df Df.res F value     Pr(>F)    
1 keytime           3    561 2.12262 0.09629064   .
2 accuracy          4    561 5.34238 0.00031525 ***
3 keytime:accuracy 12    561 0.49309 0.91915669    
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts key stroke (BAR) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 keytime emmean   SE  df lower.CL upper.CL
 0          279 14.2 561      251      306
 50         293 14.2 561      265      321
 100        273 14.0 561      245      301
 200        319 13.9 561      291      346

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

$contrasts
 contrast                estimate   SE  df t.ratio p.value
 keytime0 - keytime50      -14.58 20.0 561  -0.727  0.8861
 keytime0 - keytime100       5.52 20.0 561   0.276  0.9926
 keytime0 - keytime200     -40.15 19.9 561  -2.018  0.1826
 keytime50 - keytime100     20.10 19.9 561   1.008  0.7450
 keytime50 - keytime200    -25.57 19.9 561  -1.286  0.5720
 keytime100 - keytime200   -45.67 19.8 561  -2.307  0.0976

Results are averaged over the levels of: accuracy 
P value adjustment: tukey method for comparing a family of 4 estimates 
-------- contrasts accuracy (BAR) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 accuracy emmean   SE  df lower.CL upper.CL
 0.1         306 15.5 561      275      336
 0.3         325 15.6 561      295      356
 0.5         303 15.4 561      273      334
 0.7         289 15.8 561      258      320
 0.9         231 15.5 561      201      262

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

$contrasts
 contrast                  estimate   SE  df t.ratio p.value
 accuracy0.1 - accuracy0.3   -19.64 22.0 561  -0.895  0.8988
 accuracy0.1 - accuracy0.5     2.33 21.9 561   0.106  1.0000
 accuracy0.1 - accuracy0.7    16.74 22.1 561   0.757  0.9426
 accuracy0.1 - accuracy0.9    74.64 21.9 561   3.407  0.0063
 accuracy0.3 - accuracy0.5    21.97 21.9 561   1.003  0.8540
 accuracy0.3 - accuracy0.7    36.38 22.2 561   1.642  0.4710
 accuracy0.3 - accuracy0.9    94.28 22.0 561   4.295  0.0002
 accuracy0.5 - accuracy0.7    14.41 22.1 561   0.653  0.9660
 accuracy0.5 - accuracy0.9    72.31 21.9 561   3.309  0.0088
 accuracy0.7 - accuracy0.9    57.90 22.1 561   2.619  0.0683

Results are averaged over the levels of: keytime 
P value adjustment: tukey method for comparing a family of 5 estimates 

============== temporal_demand  (BAR) ==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(nasa_value)

                   Df Df.res F value  Pr(>F)  
1 keytime           3    561 2.36250 0.07034 .
2 accuracy          4    561 0.94143 0.43949  
3 keytime:accuracy 12    561 1.17329 0.29885  
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts key stroke (BAR) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 keytime emmean   SE  df lower.CL upper.CL
 0          304 14.2 561      277      332
 50         312 14.2 561      284      340
 100        285 14.0 561      258      313
 200        264 13.9 561      236      291

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

$contrasts
 contrast                estimate   SE  df t.ratio p.value
 keytime0 - keytime50       -7.37 20.0 561  -0.368  0.9830
 keytime0 - keytime100      19.30 20.0 561   0.967  0.7682
 keytime0 - keytime200      40.74 19.9 561   2.049  0.1715
 keytime50 - keytime100     26.67 19.9 561   1.338  0.5392
 keytime50 - keytime200     48.11 19.9 561   2.422  0.0742
 keytime100 - keytime200    21.44 19.8 561   1.084  0.6995

Results are averaged over the levels of: accuracy 
P value adjustment: tukey method for comparing a family of 4 estimates 
-------- contrasts accuracy (BAR) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 accuracy emmean   SE  df lower.CL upper.CL
 0.1         277 15.7 561      246      308
 0.3         304 15.8 561      273      335
 0.5         297 15.7 561      267      328
 0.7         305 16.0 561      273      336
 0.9         273 15.7 561      242      304

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

$contrasts
 contrast                  estimate   SE  df t.ratio p.value
 accuracy0.1 - accuracy0.3  -26.964 22.3 561  -1.210  0.7458
 accuracy0.1 - accuracy0.5  -20.603 22.2 561  -0.928  0.8859
 accuracy0.1 - accuracy0.7  -27.863 22.5 561  -1.241  0.7272
 accuracy0.1 - accuracy0.9    4.211 22.2 561   0.189  0.9997
 accuracy0.3 - accuracy0.5    6.361 22.2 561   0.286  0.9985
 accuracy0.3 - accuracy0.7   -0.899 22.5 561  -0.040  1.0000
 accuracy0.3 - accuracy0.9   31.175 22.3 561   1.399  0.6288
 accuracy0.5 - accuracy0.7   -7.260 22.4 561  -0.324  0.9976
 accuracy0.5 - accuracy0.9   24.814 22.2 561   1.118  0.7970
 accuracy0.7 - accuracy0.9   32.074 22.5 561   1.429  0.6094

Results are averaged over the levels of: keytime 
P value adjustment: tukey method for comparing a family of 5 estimates 

2.3 Inline vs Bar

for(q in levels(long_nasa_data$nasa_question)) {
  nasa_q_data <- long_nasa_data %>%
    filter(nasa_question == q) %>%
    select(
      participant,
      nasa_value,
      accuracy,
      keytime,
      nasa_question,
      suggestions_type
    )
  m_nasa = art(nasa_value ~ keytime * accuracy * suggestions_type,
               data = nasa_q_data)
  
  message(paste('\n==============', q, '=============='))
  
  message('-------- anova --------')
  m <- anova(m_nasa, type = 2)
  print(m)
  
  message('-------- contrasts suggestions type --------')
  print(emmeans(
    artlm(m_nasa, "suggestions_type"),
    pairwise ~ suggestions_type
  ))
}

============== effort ==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(nasa_value)

                                    Df Df.res  F value   Pr(>F)  
1 keytime                            3   1141 2.078446 0.101336  
2 accuracy                           4   1141 2.878858 0.021781 *
3 suggestions_type                   1   1141 0.086964 0.768127  
4 keytime:accuracy                  12   1141 1.098034 0.357647  
5 keytime:suggestions_type           3   1141 0.388899 0.761023  
6 accuracy:suggestions_type          4   1141 0.206664 0.934781  
7 keytime:accuracy:suggestions_type 12   1141 0.513655 0.907049  
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts suggestions type --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 suggestions_type emmean   SE   df lower.CL upper.CL
 INLINE              594 14.1 1141      566      622
 BAR                 588 14.4 1141      560      616

Results are averaged over the levels of: keytime, accuracy 
Confidence level used: 0.95 

$contrasts
 contrast     estimate   SE   df t.ratio p.value
 INLINE - BAR     6.03 20.1 1141   0.300  0.7646

Results are averaged over the levels of: keytime, accuracy 

============== frustration ==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(nasa_value)

                                    Df Df.res  F value     Pr(>F)    
1 keytime                            3   1141 42.00655 < 2.22e-16 ***
2 accuracy                           4   1141 12.71541 3.9675e-10 ***
3 suggestions_type                   1   1141  4.85520   0.027762   *
4 keytime:accuracy                  12   1141  1.23627   0.252328    
5 keytime:suggestions_type           3   1141  0.64193   0.588118    
6 accuracy:suggestions_type          4   1141  0.59081   0.669345    
7 keytime:accuracy:suggestions_type 12   1141  0.94798   0.497588    
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts suggestions type --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 suggestions_type emmean   SE   df lower.CL upper.CL
 INLINE              569 14.1 1141      541      597
 BAR                 613 14.4 1141      585      642

Results are averaged over the levels of: keytime, accuracy 
Confidence level used: 0.95 

$contrasts
 contrast     estimate   SE   df t.ratio p.value
 INLINE - BAR    -44.4 20.1 1141  -2.206  0.0276

Results are averaged over the levels of: keytime, accuracy 

============== performance ==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(nasa_value)

                                    Df Df.res F value    Pr(>F)   
1 keytime                            3   1141 3.90521 0.0086394 **
2 accuracy                           4   1141 1.87900 0.1118010   
3 suggestions_type                   1   1141 6.25991 0.0124892  *
4 keytime:accuracy                  12   1141 2.60573 0.0019820 **
5 keytime:suggestions_type           3   1141 0.40825 0.7471056   
6 accuracy:suggestions_type          4   1141 2.70606 0.0291183  *
7 keytime:accuracy:suggestions_type 12   1141 0.49677 0.9174976   
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts suggestions type --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 suggestions_type emmean   SE   df lower.CL upper.CL
 INLINE              566 14.1 1141      538      594
 BAR                 617 14.4 1141      588      645

Results are averaged over the levels of: keytime, accuracy 
Confidence level used: 0.95 

$contrasts
 contrast     estimate   SE   df t.ratio p.value
 INLINE - BAR    -50.4 20.1 1141  -2.504  0.0124

Results are averaged over the levels of: keytime, accuracy 

============== mental_demand ==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(nasa_value)

                                    Df Df.res  F value     Pr(>F)    
1 keytime                            3   1141 12.17001 7.6588e-08 ***
2 accuracy                           4   1141  1.39140    0.23477    
3 suggestions_type                   1   1141  0.21177    0.64547    
4 keytime:accuracy                  12   1141  1.23437    0.25360    
5 keytime:suggestions_type           3   1141  0.65515    0.57978    
6 accuracy:suggestions_type          4   1141  0.56476    0.68829    
7 keytime:accuracy:suggestions_type 12   1141  0.78488    0.66662    
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts suggestions type --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 suggestions_type emmean   SE   df lower.CL upper.CL
 INLINE              596 14.2 1141      568      623
 BAR                 586 14.4 1141      558      614

Results are averaged over the levels of: keytime, accuracy 
Confidence level used: 0.95 

$contrasts
 contrast     estimate   SE   df t.ratio p.value
 INLINE - BAR     9.34 20.2 1141   0.462  0.6439

Results are averaged over the levels of: keytime, accuracy 

============== physical_demand ==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(nasa_value)

                                    Df Df.res F value    Pr(>F)    
1 keytime                            3   1141 4.33024 0.0048062  **
2 accuracy                           4   1141 5.80728 0.0001257 ***
3 suggestions_type                   1   1141 6.10480 0.0136268   *
4 keytime:accuracy                  12   1141 0.88018 0.5669906    
5 keytime:suggestions_type           3   1141 0.26732 0.8489832    
6 accuracy:suggestions_type          4   1141 2.48103 0.0423243   *
7 keytime:accuracy:suggestions_type 12   1141 1.05054 0.3993686    
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts suggestions type --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 suggestions_type emmean   SE   df lower.CL upper.CL
 INLINE              567 14.1 1141      539      594
 BAR                 616 14.4 1141      588      644

Results are averaged over the levels of: keytime, accuracy 
Confidence level used: 0.95 

$contrasts
 contrast     estimate   SE   df t.ratio p.value
 INLINE - BAR    -49.8 20.1 1141  -2.470  0.0136

Results are averaged over the levels of: keytime, accuracy 

============== temporal_demand ==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(nasa_value)

                                    Df Df.res F value     Pr(>F)    
1 keytime                            3   1141 6.90260 0.00013172 ***
2 accuracy                           4   1141 2.12563 0.07554449   .
3 suggestions_type                   1   1141 4.47862 0.03453755   *
4 keytime:accuracy                  12   1141 1.09824 0.35747008    
5 keytime:suggestions_type           3   1141 0.34315 0.79413168    
6 accuracy:suggestions_type          4   1141 0.45278 0.77042240    
7 keytime:accuracy:suggestions_type 12   1141 0.57578 0.86294255    
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts suggestions type --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 suggestions_type emmean   SE   df lower.CL upper.CL
 INLINE              570 14.1 1141      542      598
 BAR                 613 14.4 1141      584      641

Results are averaged over the levels of: keytime, accuracy 
Confidence level used: 0.95 

$contrasts
 contrast     estimate   SE   df t.ratio p.value
 INLINE - BAR    -42.6 20.2 1141  -2.115  0.0347

Results are averaged over the levels of: keytime, accuracy 

3 Subjective Questionnaire

3.1 Graph

long_questions_data = trusted_participants_runs %>%
  gather(
    key = "question",
    value = "answer",
    factor_key = TRUE,
    controls_satisfactory,
    suggestions_accuracy,
    keyboard_use_efficiency,
    suggestion_distraction
  ) %>%
  mutate(
    # Make sure answer is a factor.
    answer =  factor(answer, levels = AGREEMENT_LEVELS, ordered = T),
    num_answer = answer %>%
      recode(
        `Strongly disagree` = -3,
        `Disagree` = -2,
        `Somewhat disagree` = -1,
        `Neither agree nor disagree` = 0,
        `Somewhat agree` = 1,
        `Agree` = 2,
        `Strongly agree` = 3
      ) %>%
      as.numeric(),
    question_label = question %>%
      recode_factor(
        suggestions_accuracy = "Perceived Accuracy",
        keyboard_use_efficiency = "Perceived Usability",
        controls_satisfactory = "Satisfaction",
        suggestion_distraction = "Suggestions' Disruptivity",
        .ordered = TRUE
      )
  ) %>%
  select(
    participant,
    question,
    question_label,
    accuracy,
    answer,
    num_answer,
    keytime,
    suggestions_type
  )


plot_levels = list(
  SCALE_COLOR_KEY_STROKE_DISCRETE,
  SCALE_FILL_KEY_STROKE_DISCRETE,
  SCALE_X_ACCURACY_DISCRETE,
  scale_y_continuous(
    limits = c(-3, 3),
    breaks = -3:3,
    labels = likert_levels <- c("Strongly disagree",
                                "",
                                "",
                                "",
                                "",
                                "",
                                "Strongly agree")
  ),
  geom_boxplot(outlier.shape = NA),
  theme(
    axis.title.y = element_blank(),
    strip.text = element_text(margin = margin(
      t = 0,
      l = 0,
      b = 2,
      r = 0
    )),
    legend.position = "none",
  )
)

ggplot(
  long_questions_data,
  aes(
    x = accuracy,
    y = num_answer,
    color = keytime,
    fill = keytime
  )
) + plot_levels +
  facet_grid(cols = vars(question_label),
             rows = vars(suggestions_type))

#
#
#   ggsave(
#     graph_path("subjective.pdf"),
#     width = FULL_WIDTH,
#     height = (FULL_WIDTH / 7) * GOLDEN_RATIO,
#     units="mm",
#     device=cairo_pdf
#   )

3.2 Stats Inline Suggestions

for(q in levels(long_questions_data$question)){
  q_data <- long_questions_data %>%
    filter(question == q & suggestions_type == INLINE_SUGGESTION_TYPE)

  m_nasa = art(answer ~ keytime * accuracy, data=q_data)

  message(paste('\n==============', q, ' (INLINE) =============='))
  
  message('-------- anova --------')
  m <- anova(m_nasa, type = 2)
  print(m)
  all_anovas <- anova_to_tibble(m) %>%
    mutate(question = q, scale="questionnaire", suggestions="inline") %>%
    union_all(all_anovas)
  message('-------- contrasts key stroke delay (INLINE) --------')
  print(emmeans(artlm(m_nasa, "keytime"), pairwise ~ keytime))

  message('-------- contrasts accuracy (INLINE) --------')
  print(emmeans(artlm(m_nasa, "accuracy"), pairwise ~ accuracy))
}

============== controls_satisfactory  (INLINE) ==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(answer)

                   Df Df.res F value     Pr(>F)    
1 keytime           3    580 13.6694 1.2595e-08 ***
2 accuracy          4    580 21.1730 2.5905e-16 ***
3 keytime:accuracy 12    580  2.1781   0.011514   *
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts key stroke delay (INLINE) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 keytime emmean   SE  df lower.CL upper.CL
 0          361 14.0 580      333      388
 50         323 14.0 580      296      350
 100        245 13.9 580      218      273
 200        274 13.7 580      247      301

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

$contrasts
 contrast                estimate   SE  df t.ratio p.value
 keytime0 - keytime50        37.9 19.8 580   1.917  0.2220
 keytime0 - keytime100      115.5 19.7 580   5.864  <.0001
 keytime0 - keytime200       86.8 19.6 580   4.432  0.0001
 keytime50 - keytime100      77.6 19.7 580   3.940  0.0005
 keytime50 - keytime200      48.9 19.6 580   2.497  0.0615
 keytime100 - keytime200    -28.7 19.5 580  -1.472  0.4552

Results are averaged over the levels of: accuracy 
P value adjustment: tukey method for comparing a family of 4 estimates 
-------- contrasts accuracy (INLINE) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 accuracy emmean   SE  df lower.CL upper.CL
 0.1         210 14.9 580      180      239
 0.3         279 15.1 580      250      309
 0.5         286 15.1 580      256      316
 0.7         331 14.8 580      302      360
 0.9         397 15.1 580      367      426

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

$contrasts
 contrast                  estimate   SE  df t.ratio p.value
 accuracy0.1 - accuracy0.3   -69.60 21.3 580  -3.273  0.0099
 accuracy0.1 - accuracy0.5   -76.23 21.2 580  -3.593  0.0033
 accuracy0.1 - accuracy0.7  -121.27 21.0 580  -5.771  <.0001
 accuracy0.1 - accuracy0.9  -186.94 21.3 580  -8.791  <.0001
 accuracy0.3 - accuracy0.5    -6.63 21.4 580  -0.310  0.9980
 accuracy0.3 - accuracy0.7   -51.67 21.2 580  -2.443  0.1056
 accuracy0.3 - accuracy0.9  -117.33 21.4 580  -5.483  <.0001
 accuracy0.5 - accuracy0.7   -45.04 21.1 580  -2.134  0.2069
 accuracy0.5 - accuracy0.9  -110.71 21.4 580  -5.185  <.0001
 accuracy0.7 - accuracy0.9   -65.67 21.2 580  -3.105  0.0170

Results are averaged over the levels of: keytime 
P value adjustment: tukey method for comparing a family of 5 estimates 

============== suggestions_accuracy  (INLINE) ==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(answer)

                   Df Df.res  F value     Pr(>F)    
1 keytime           3    580  0.99996  0.3924411    
2 accuracy          4    580 64.25597 < 2.22e-16 ***
3 keytime:accuracy 12    580  2.42137  0.0045233  **
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts key stroke delay (INLINE) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 keytime emmean   SE  df lower.CL upper.CL
 0          290 14.4 580      262      318
 50         312 14.4 580      284      340
 100        286 14.3 580      258      314
 200        313 14.1 580      285      340

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

$contrasts
 contrast                estimate   SE  df t.ratio p.value
 keytime0 - keytime50     -22.335 20.3 580  -1.100  0.6896
 keytime0 - keytime100      4.085 20.2 580   0.202  0.9971
 keytime0 - keytime200    -22.661 20.1 580  -1.127  0.6731
 keytime50 - keytime100    26.419 20.2 580   1.306  0.5595
 keytime50 - keytime200    -0.327 20.1 580  -0.016  1.0000
 keytime100 - keytime200  -26.746 20.0 580  -1.335  0.5411

Results are averaged over the levels of: accuracy 
P value adjustment: tukey method for comparing a family of 4 estimates 
-------- contrasts accuracy (INLINE) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 accuracy emmean   SE  df lower.CL upper.CL
 0.1         157 13.3 580      131      183
 0.3         240 13.5 580      213      266
 0.5         301 13.4 580      275      327
 0.7         383 13.2 580      357      408
 0.9         421 13.5 580      395      448

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

$contrasts
 contrast                  estimate   SE  df t.ratio p.value
 accuracy0.1 - accuracy0.3    -83.1 18.9 580  -4.386  0.0001
 accuracy0.1 - accuracy0.5   -144.3 18.9 580  -7.635  <.0001
 accuracy0.1 - accuracy0.7   -225.7 18.7 580 -12.062  <.0001
 accuracy0.1 - accuracy0.9   -264.6 18.9 580 -13.972  <.0001
 accuracy0.3 - accuracy0.5    -61.2 19.0 580  -3.219  0.0118
 accuracy0.3 - accuracy0.7   -142.7 18.8 580  -7.574  <.0001
 accuracy0.3 - accuracy0.9   -181.5 19.1 580  -9.525  <.0001
 accuracy0.5 - accuracy0.7    -81.5 18.8 580  -4.335  0.0002
 accuracy0.5 - accuracy0.9   -120.3 19.0 580  -6.328  <.0001
 accuracy0.7 - accuracy0.9    -38.9 18.8 580  -2.063  0.2375

Results are averaged over the levels of: keytime 
P value adjustment: tukey method for comparing a family of 5 estimates 

============== keyboard_use_efficiency  (INLINE) ==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(answer)

                   Df Df.res F value     Pr(>F)    
1 keytime           3    580 56.9430 < 2.22e-16 ***
2 accuracy          4    580  9.8650 9.9936e-08 ***
3 keytime:accuracy 12    580  2.2716  0.0080765  **
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts key stroke delay (INLINE) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 keytime emmean   SE  df lower.CL upper.CL
 0          423 12.7 580      398      447
 50         332 12.7 580      307      357
 100        224 12.6 580      199      249
 200        227 12.5 580      202      251

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

$contrasts
 contrast                estimate   SE  df t.ratio p.value
 keytime0 - keytime50       90.07 18.0 580   5.014  <.0001
 keytime0 - keytime100     198.30 17.9 580  11.080  <.0001
 keytime0 - keytime200     195.99 17.8 580  11.015  <.0001
 keytime50 - keytime100    108.23 17.9 580   6.046  <.0001
 keytime50 - keytime200    105.92 17.8 580   5.952  <.0001
 keytime100 - keytime200    -2.31 17.7 580  -0.130  0.9992

Results are averaged over the levels of: accuracy 
P value adjustment: tukey method for comparing a family of 4 estimates 
-------- contrasts accuracy (INLINE) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 accuracy emmean   SE  df lower.CL upper.CL
 0.1         251 15.5 580      220      281
 0.3         282 15.7 580      251      313
 0.5         287 15.6 580      256      317
 0.7         302 15.3 580      272      332
 0.9         382 15.7 580      351      413

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

$contrasts
 contrast                  estimate   SE  df t.ratio p.value
 accuracy0.1 - accuracy0.3    -31.4 22.0 580  -1.427  0.6105
 accuracy0.1 - accuracy0.5    -36.0 22.0 580  -1.640  0.4725
 accuracy0.1 - accuracy0.7    -51.1 21.8 580  -2.348  0.1314
 accuracy0.1 - accuracy0.9   -131.2 22.0 580  -5.958  <.0001
 accuracy0.3 - accuracy0.5     -4.6 22.1 580  -0.208  0.9996
 accuracy0.3 - accuracy0.7    -19.7 21.9 580  -0.898  0.8975
 accuracy0.3 - accuracy0.9    -99.8 22.2 580  -4.502  0.0001
 accuracy0.5 - accuracy0.7    -15.1 21.9 580  -0.690  0.9587
 accuracy0.5 - accuracy0.9    -95.2 22.1 580  -4.304  0.0002
 accuracy0.7 - accuracy0.9    -80.1 21.9 580  -3.657  0.0026

Results are averaged over the levels of: keytime 
P value adjustment: tukey method for comparing a family of 5 estimates 

============== suggestion_distraction  (INLINE) ==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(answer)

                   Df Df.res  F value     Pr(>F)    
1 keytime           3    580  5.57349 0.00089617 ***
2 accuracy          4    580 20.30510 1.1414e-15 ***
3 keytime:accuracy 12    580  0.70845 0.74392756    
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts key stroke delay (INLINE) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 keytime emmean   SE  df lower.CL upper.CL
 0          340 14.3 580      312      368
 50         315 14.3 580      287      343
 100        287 14.2 580      259      314
 200        263 14.0 580      235      290

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

$contrasts
 contrast                estimate   SE  df t.ratio p.value
 keytime0 - keytime50        24.6 20.2 580   1.220  0.6145
 keytime0 - keytime100       52.9 20.1 580   2.630  0.0434
 keytime0 - keytime200       76.6 20.0 580   3.832  0.0008
 keytime50 - keytime100      28.3 20.1 580   1.406  0.4964
 keytime50 - keytime200      52.0 20.0 580   2.600  0.0469
 keytime100 - keytime200     23.7 19.9 580   1.191  0.6328

Results are averaged over the levels of: accuracy 
P value adjustment: tukey method for comparing a family of 4 estimates 
-------- contrasts accuracy (INLINE) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 accuracy emmean   SE  df lower.CL upper.CL
 0.1         375 15.0 580      345      404
 0.3         338 15.2 580      308      368
 0.5         325 15.1 580      296      355
 0.7         260 14.8 580      231      289
 0.9         204 15.2 580      174      234

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

$contrasts
 contrast                  estimate   SE  df t.ratio p.value
 accuracy0.1 - accuracy0.3     37.0 21.3 580   1.734  0.4141
 accuracy0.1 - accuracy0.5     49.7 21.3 580   2.337  0.1349
 accuracy0.1 - accuracy0.7    114.9 21.1 580   5.449  <.0001
 accuracy0.1 - accuracy0.9    170.8 21.3 580   8.006  <.0001
 accuracy0.3 - accuracy0.5     12.8 21.4 580   0.595  0.9758
 accuracy0.3 - accuracy0.7     77.9 21.2 580   3.671  0.0024
 accuracy0.3 - accuracy0.9    133.8 21.5 580   6.232  <.0001
 accuracy0.5 - accuracy0.7     65.2 21.2 580   3.077  0.0185
 accuracy0.5 - accuracy0.9    121.1 21.4 580   5.651  <.0001
 accuracy0.7 - accuracy0.9     55.9 21.2 580   2.635  0.0655

Results are averaged over the levels of: keytime 
P value adjustment: tukey method for comparing a family of 5 estimates 

3.3 Stats Bar Suggestions

for(q in levels(long_questions_data$question)){
  q_data <- long_questions_data %>%
    filter(question == q &
             suggestions_type == BAR_SUGGESTION_TYPE)

  m_nasa = art(answer ~ keytime * accuracy, data=q_data)

  message(paste('\n==============', q, ' (BAR) =============='))
  
  message('-------- anova --------')
  m <- anova(m_nasa, type = 2)
  print(m)
  all_anovas <- anova_to_tibble(m) %>%
    mutate(question = q, scale="questionnaire", suggestions="bar") %>%
    union_all(all_anovas)
  message('-------- contrasts key stroke (BAR) --------')
  print(emmeans(artlm(m_nasa, "keytime"), pairwise ~ keytime))

  message('-------- contrasts accuracy (BAR) --------')
  print(emmeans(artlm(m_nasa, "accuracy"), pairwise ~ accuracy))
}

============== controls_satisfactory  (BAR) ==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(answer)

                   Df Df.res F value     Pr(>F)    
1 keytime           3    561  4.7168  0.0029225  **
2 accuracy          4    561 16.8668 4.5579e-13 ***
3 keytime:accuracy 12    561  2.3393  0.0062540  **
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts key stroke (BAR) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 keytime emmean   SE  df lower.CL upper.CL
 0          336 14.1 561      308      364
 50         284 14.0 561      256      311
 100        269 13.9 561      242      297
 200        276 13.8 561      249      303

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

$contrasts
 contrast                estimate   SE  df t.ratio p.value
 keytime0 - keytime50       52.19 19.9 561   2.628  0.0436
 keytime0 - keytime100      66.68 19.8 561   3.372  0.0044
 keytime0 - keytime200      60.13 19.7 561   3.051  0.0127
 keytime50 - keytime100     14.49 19.8 561   0.734  0.8836
 keytime50 - keytime200      7.94 19.7 561   0.403  0.9778
 keytime100 - keytime200    -6.55 19.6 561  -0.334  0.9871

Results are averaged over the levels of: accuracy 
P value adjustment: tukey method for comparing a family of 4 estimates 
-------- contrasts accuracy (BAR) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 accuracy emmean   SE  df lower.CL upper.CL
 0.1         219 14.9 561      190      248
 0.3         278 14.9 561      249      307
 0.5         259 14.8 561      230      288
 0.7         322 15.2 561      292      351
 0.9         379 14.9 561      349      408

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

$contrasts
 contrast                  estimate   SE  df t.ratio p.value
 accuracy0.1 - accuracy0.3    -58.9 21.1 561  -2.794  0.0427
 accuracy0.1 - accuracy0.5    -40.2 21.0 561  -1.913  0.3116
 accuracy0.1 - accuracy0.7   -102.7 21.2 561  -4.835  <.0001
 accuracy0.1 - accuracy0.9   -159.6 21.0 561  -7.584  <.0001
 accuracy0.3 - accuracy0.5     18.8 21.0 561   0.891  0.9001
 accuracy0.3 - accuracy0.7    -43.8 21.3 561  -2.057  0.2406
 accuracy0.3 - accuracy0.9   -100.7 21.1 561  -4.774  <.0001
 accuracy0.5 - accuracy0.7    -62.5 21.2 561  -2.950  0.0273
 accuracy0.5 - accuracy0.9   -119.5 21.0 561  -5.688  <.0001
 accuracy0.7 - accuracy0.9    -56.9 21.2 561  -2.679  0.0584

Results are averaged over the levels of: keytime 
P value adjustment: tukey method for comparing a family of 5 estimates 

============== suggestions_accuracy  (BAR) ==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(answer)

                   Df Df.res  F value   Pr(>F)    
1 keytime           3    561  0.24308 0.866262    
2 accuracy          4    561 53.72285  < 2e-16 ***
3 keytime:accuracy 12    561  2.11316 0.014722   *
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts key stroke (BAR) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 keytime emmean   SE  df lower.CL upper.CL
 0          296 14.2 561      268      324
 50         282 14.2 561      255      310
 100        297 14.0 561      270      325
 200        289 13.9 561      262      316

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

$contrasts
 contrast                estimate   SE  df t.ratio p.value
 keytime0 - keytime50       13.63 20.0 561   0.680  0.9046
 keytime0 - keytime100      -1.45 20.0 561  -0.073  0.9999
 keytime0 - keytime200       7.00 19.9 561   0.352  0.9851
 keytime50 - keytime100    -15.09 19.9 561  -0.757  0.8738
 keytime50 - keytime200     -6.64 19.9 561  -0.334  0.9871
 keytime100 - keytime200     8.45 19.8 561   0.427  0.9739

Results are averaged over the levels of: accuracy 
P value adjustment: tukey method for comparing a family of 4 estimates 
-------- contrasts accuracy (BAR) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 accuracy emmean   SE  df lower.CL upper.CL
 0.1         145 13.3 561      119      171
 0.3         258 13.4 561      231      284
 0.5         297 13.3 561      271      323
 0.7         362 13.6 561      336      389
 0.9         396 13.3 561      370      422

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

$contrasts
 contrast                  estimate   SE  df t.ratio p.value
 accuracy0.1 - accuracy0.3   -112.6 18.9 561  -5.955  <.0001
 accuracy0.1 - accuracy0.5   -151.5 18.8 561  -8.047  <.0001
 accuracy0.1 - accuracy0.7   -217.2 19.0 561 -11.405  <.0001
 accuracy0.1 - accuracy0.9   -251.1 18.9 561 -13.305  <.0001
 accuracy0.3 - accuracy0.5    -38.9 18.9 561  -2.062  0.2383
 accuracy0.3 - accuracy0.7   -104.6 19.1 561  -5.482  <.0001
 accuracy0.3 - accuracy0.9   -138.5 18.9 561  -7.323  <.0001
 accuracy0.5 - accuracy0.7    -65.7 19.0 561  -3.458  0.0053
 accuracy0.5 - accuracy0.9    -99.6 18.8 561  -5.288  <.0001
 accuracy0.7 - accuracy0.9    -33.9 19.0 561  -1.777  0.3879

Results are averaged over the levels of: keytime 
P value adjustment: tukey method for comparing a family of 5 estimates 

============== keyboard_use_efficiency  (BAR) ==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(answer)

                   Df Df.res  F value     Pr(>F)    
1 keytime           3    561 26.07936 8.3564e-16 ***
2 accuracy          4    561  1.67581    0.15407    
3 keytime:accuracy 12    561  0.91807    0.52832    
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts key stroke (BAR) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 keytime emmean   SE  df lower.CL upper.CL
 0          375 13.3 561      349      401
 50         315 13.3 561      289      341
 100        254 13.2 561      228      280
 200        223 13.1 561      197      248

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

$contrasts
 contrast                estimate   SE  df t.ratio p.value
 keytime0 - keytime50        60.0 18.8 561   3.185  0.0083
 keytime0 - keytime100      121.5 18.8 561   6.475  <.0001
 keytime0 - keytime200      152.6 18.7 561   8.161  <.0001
 keytime50 - keytime100      61.5 18.7 561   3.280  0.0060
 keytime50 - keytime200      92.6 18.7 561   4.957  <.0001
 keytime100 - keytime200     31.1 18.6 561   1.673  0.3392

Results are averaged over the levels of: accuracy 
P value adjustment: tukey method for comparing a family of 4 estimates 
-------- contrasts accuracy (BAR) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 accuracy emmean   SE  df lower.CL upper.CL
 0.1         268 15.7 561      237      299
 0.3         285 15.7 561      254      316
 0.5         278 15.6 561      247      309
 0.7         309 16.0 561      278      341
 0.9         316 15.7 561      285      346

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

$contrasts
 contrast                  estimate   SE  df t.ratio p.value
 accuracy0.1 - accuracy0.3   -17.28 22.2 561  -0.778  0.9370
 accuracy0.1 - accuracy0.5    -9.96 22.1 561  -0.450  0.9915
 accuracy0.1 - accuracy0.7   -41.16 22.4 561  -1.839  0.3520
 accuracy0.1 - accuracy0.9   -47.53 22.2 561  -2.144  0.2032
 accuracy0.3 - accuracy0.5     7.31 22.2 561   0.330  0.9974
 accuracy0.3 - accuracy0.7   -23.88 22.4 561  -1.065  0.8244
 accuracy0.3 - accuracy0.9   -30.25 22.2 561  -1.361  0.6526
 accuracy0.5 - accuracy0.7   -31.20 22.3 561  -1.397  0.6298
 accuracy0.5 - accuracy0.9   -37.57 22.1 561  -1.698  0.4359
 accuracy0.7 - accuracy0.9    -6.37 22.4 561  -0.285  0.9986

Results are averaged over the levels of: keytime 
P value adjustment: tukey method for comparing a family of 5 estimates 

============== suggestion_distraction  (BAR) ==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(answer)

                   Df Df.res  F value     Pr(>F)    
1 keytime           3    561  2.46852   0.061167   .
2 accuracy          4    561 11.77151 3.4538e-09 ***
3 keytime:accuracy 12    561  0.75305   0.699146    
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts key stroke (BAR) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 keytime emmean   SE  df lower.CL upper.CL
 0          318 14.2 561      290      346
 50         299 14.1 561      271      327
 100        281 14.0 561      254      309
 200        267 13.9 561      239      294

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

$contrasts
 contrast                estimate   SE  df t.ratio p.value
 keytime0 - keytime50        19.0 20.0 561   0.951  0.7773
 keytime0 - keytime100       36.4 19.9 561   1.823  0.2634
 keytime0 - keytime200       51.1 19.9 561   2.573  0.0506
 keytime50 - keytime100      17.3 19.9 561   0.869  0.8206
 keytime50 - keytime200      32.1 19.9 561   1.616  0.3703
 keytime100 - keytime200     14.8 19.8 561   0.747  0.8780

Results are averaged over the levels of: accuracy 
P value adjustment: tukey method for comparing a family of 4 estimates 
-------- contrasts accuracy (BAR) --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 accuracy emmean   SE  df lower.CL upper.CL
 0.1         336 15.1 561      307      366
 0.3         333 15.2 561      303      362
 0.5         305 15.1 561      275      335
 0.7         268 15.4 561      238      298
 0.9         211 15.1 561      182      241

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

$contrasts
 contrast                  estimate   SE  df t.ratio p.value
 accuracy0.1 - accuracy0.3     3.73 21.4 561   0.174  0.9998
 accuracy0.1 - accuracy0.5    31.36 21.4 561   1.469  0.5834
 accuracy0.1 - accuracy0.7    68.16 21.6 561   3.156  0.0145
 accuracy0.1 - accuracy0.9   124.86 21.4 561   5.835  <.0001
 accuracy0.3 - accuracy0.5    27.63 21.4 561   1.291  0.6967
 accuracy0.3 - accuracy0.7    64.44 21.6 561   2.977  0.0252
 accuracy0.3 - accuracy0.9   121.14 21.4 561   5.649  <.0001
 accuracy0.5 - accuracy0.7    36.80 21.6 561   1.708  0.4300
 accuracy0.5 - accuracy0.9    93.50 21.4 561   4.379  0.0001
 accuracy0.7 - accuracy0.9    56.70 21.6 561   2.625  0.0672

Results are averaged over the levels of: keytime 
P value adjustment: tukey method for comparing a family of 5 estimates 

3.4 Inline vs Bar

long_questions_data %>%
  filter(question == "suggestion_distraction") %>%
  # filter(accuracy == 0.5) %>%
  group_by(suggestions_type) %>%
  summarise(
    n_agree = sum(answer == "Strongly agree" | answer == "Agree"),
    total = n(),
    ratio = n_agree / total
  )
for(q in levels(long_questions_data$question)) {
  q_data <- long_questions_data %>%
    filter(question == q)
  
  m_nasa = art(answer ~ keytime * accuracy * suggestions_type,
               data = q_data)
  
  message(paste('\n==============', q, '=============='))
  
  message('-------- anova --------')
  m <- anova(m_nasa, type = 2)
  print(m)

  message('-------- contrasts suggestions type --------')
  print(emmeans(
    artlm(m_nasa, "suggestions_type"),
    pairwise ~ suggestions_type
  ))
  
}

============== controls_satisfactory ==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(answer)

                                    Df Df.res  F value     Pr(>F)    
1 keytime                            3   1141 16.86868 1.0023e-10 ***
2 accuracy                           4   1141 36.34415 < 2.22e-16 ***
3 suggestions_type                   1   1141  3.53184   0.060456   .
4 keytime:accuracy                  12   1141  3.42749 5.7535e-05 ***
5 keytime:suggestions_type           3   1141  1.30386   0.271729    
6 accuracy:suggestions_type          4   1141  0.42820   0.788349    
7 keytime:accuracy:suggestions_type 12   1141  0.86673   0.581003    
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts suggestions type --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 suggestions_type emmean   SE   df lower.CL upper.CL
 INLINE              572 14.1 1141      544      600
 BAR                 610 14.3 1141      582      638

Results are averaged over the levels of: keytime, accuracy 
Confidence level used: 0.95 

$contrasts
 contrast     estimate   SE   df t.ratio p.value
 INLINE - BAR      -38 20.1 1141  -1.890  0.0590

Results are averaged over the levels of: keytime, accuracy 

============== suggestions_accuracy ==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(answer)

                                    Df Df.res   F value     Pr(>F)    
1 keytime                            3   1141   0.31872   0.811856    
2 accuracy                           4   1141 124.89523 < 2.22e-16 ***
3 suggestions_type                   1   1141   3.02236   0.082394   .
4 keytime:accuracy                  12   1141   4.02998 3.7134e-06 ***
5 keytime:suggestions_type           3   1141   0.55656   0.643805    
6 accuracy:suggestions_type          4   1141   0.88423   0.472649    
7 keytime:accuracy:suggestions_type 12   1141   0.33360   0.983189    
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts suggestions type --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 suggestions_type emmean   SE   df lower.CL upper.CL
 INLINE              574 14.1 1141      546      601
 BAR                 609 14.3 1141      581      637

Results are averaged over the levels of: keytime, accuracy 
Confidence level used: 0.95 

$contrasts
 contrast     estimate   SE   df t.ratio p.value
 INLINE - BAR    -34.9 20.1 1141  -1.743  0.0817

Results are averaged over the levels of: keytime, accuracy 

============== keyboard_use_efficiency ==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(answer)

                                    Df Df.res F value     Pr(>F)    
1 keytime                            3   1141 71.4727 < 2.22e-16 ***
2 accuracy                           4   1141  8.5796  8.029e-07 ***
3 suggestions_type                   1   1141  0.1699   0.680277    
4 keytime:accuracy                  12   1141  1.8742   0.033588   *
5 keytime:suggestions_type           3   1141  2.1048   0.097906   .
6 accuracy:suggestions_type          4   1141  1.3499   0.249409    
7 keytime:accuracy:suggestions_type 12   1141  1.3011   0.211472    
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts suggestions type --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 suggestions_type emmean   SE   df lower.CL upper.CL
 INLINE              587 14.1 1141      559      614
 BAR                 595 14.4 1141      567      623

Results are averaged over the levels of: keytime, accuracy 
Confidence level used: 0.95 

$contrasts
 contrast     estimate   SE   df t.ratio p.value
 INLINE - BAR    -8.38 20.2 1141  -0.416  0.6776

Results are averaged over the levels of: keytime, accuracy 

============== suggestion_distraction ==============
-------- anova --------
Analysis of Variance of Aligned Rank Transformed Data

Table Type: Anova Table (Type II tests) 
Model: No Repeated Measures (lm)
Response: art(answer)

                                    Df Df.res  F value     Pr(>F)    
1 keytime                            3   1141  7.13381 9.5104e-05 ***
2 accuracy                           4   1141 29.78317 < 2.22e-16 ***
3 suggestions_type                   1   1141  8.56853  0.0034881  **
4 keytime:accuracy                  12   1141  0.77512  0.6767465    
5 keytime:suggestions_type           3   1141  0.29949  0.8257887    
6 accuracy:suggestions_type          4   1141  0.58150  0.6761007    
7 keytime:accuracy:suggestions_type 12   1141  0.53772  0.8909947    
---
Signif. codes:   0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 
-------- contrasts suggestions type --------
NOTE: Results may be misleading due to involvement in interactions
$emmeans
 suggestions_type emmean   SE   df lower.CL upper.CL
 INLINE              620 14.1 1141      592      648
 BAR                 561 14.3 1141      533      589

Results are averaged over the levels of: keytime, accuracy 
Confidence level used: 0.95 

$contrasts
 contrast     estimate   SE   df t.ratio p.value
 INLINE - BAR       59 20.1 1141   2.932  0.0034

Results are averaged over the levels of: keytime, accuracy 

4 Export

Go back to main

---
title: "Word-Suggestions: Keytime Subjective Results"
output:
  html_notebook:
    toc: true
    toc_float: true
    theme: lumen
    highlight: default
    code_folding: hide
    number_sections: TRUE
---


[Go back to main](./main.nb.html)


```{r message=FALSE, warning=FALSE}
library(ARTool)
library(emmeans)
source("./keytime-setup.R")

measured_runs <- read_keytime_runs(measured_only = TRUE)
trusted_participants_runs <- measured_runs %>% filter(is_participant_trusted)
```

# Attention Check

```{r}
measured_runs %>% count(suggestions_type, is_participant_trusted)
```


# Nasa TLX

```{r, dev="svglite"}
long_nasa_data <- trusted_participants_runs %>%
  gather(
    key = "nasa_question",
    value = "nasa_value",
    factor_key = TRUE,
    effort,
    frustration,
    performance,
    mental_demand,
    physical_demand,
    temporal_demand
  ) %>%
  mutate(
    nasa_question = nasa_question %>% as_factor(),
    question_label = nasa_question %>%
      recode(
        mental_demand = "Mental Demand",
        physical_demand = "Physical Demand",
        temporal_demand = "Temporal Demand",
        performance = "Overall Performance",
        effort = "Effort",
        frustration = "Frustration Level"
      )
  ) %>%
  select(
    participant,
    keytime,
    accuracy,
    nasa_question,
    question_label,
    nasa_value,
    suggestions_type
  )

plot_nasa <- function(filtered_nasa_data) {
  nasa_labels = rep('', 20)
  nasa_labels[20] = "High"
  nasa_labels[1] = "Low"
  
  pd <- position_dodge(0.1)
  ggplot(
    data = filtered_nasa_data,
    aes(
      x = accuracy,
      y = nasa_value,
      color = keytime,
      fill = keytime
      # group = keytime
    )
  ) +
    expand_limits(y = c(5, 100)) +
    SCALE_COLOR_KEY_STROKE_DISCRETE +
    SCALE_FILL_KEY_STROKE_DISCRETE +
    SCALE_X_ACCURACY_DISCRETE +
    # custom_line(position=pd) +
    # custom_pointrange(position=pd) +
    scale_y_continuous("", breaks = seq(5, 100, 5), labels = nasa_labels) +
    # guides(color = guide_legend(override.aes = list(linetype = 0))) +
    geom_boxplot(outlier.shape = NA) +
    # THEME_BOTTOM_LEGEND +
    theme(
      axis.title.y = element_blank(),
      strip.text = element_text(margin = margin(
        t = 0,
        l = 0,
        b = 2,
        r = 0
      )),
      # We need to add a right margin to prevent the legend to stick out, and a negative top
      # margin because I have not been able to bring that legend close to the plot in any other way.
      legend.margin = margin(
        r = 0,
        t = -2,
        l = 0,
        unit = "mm"
      )
    ) +
    facet_wrap(vars(question_label)) +
    THEME_BOTTOM_LEGEND
}
```


## Inline Suggestions

```{r, dev="svglite"}
inline_nasa_plot <- plot_nasa(long_nasa_data %>% filter(suggestions_type == INLINE_SUGGESTION_TYPE))

ggsave(
  graph_path("nasa-tlx-inline.pdf"),
  plot = inline_nasa_plot,
  width = FULL_WIDTH,
  height = (FULL_WIDTH - 20) / GOLDEN_RATIO,
  units = "mm",
  device = cairo_pdf
)

inline_nasa_plot
```

```{r, dev="svglite"}
for(q in levels(long_nasa_data$nasa_question)){
  nasa_q_data <- long_nasa_data %>%
    filter(nasa_question == q & suggestions_type == INLINE_SUGGESTION_TYPE) %>% 
    select(participant, nasa_value, accuracy, keytime, nasa_question)
  m_nasa = art(nasa_value ~ keytime * accuracy, data=nasa_q_data)

  message(paste('\n==============', q, ' (INLINE)=============='))
  
  message('-------- anova --------')
  m <- anova(m_nasa, type = 2)
  print(m)
  anova_tible <- anova_to_tibble(m) %>%
    mutate(question = q,
           scale = "nasa-tlx",
           suggestions = "inline")
  
  if (exists("all_anovas")) {
    all_anovas <- union_all(all_anovas, anova_tible)
  } else {
    all_anovas <- anova_tible
  }
  
  message('-------- contrasts key stroke (INLINE) --------')
  print(emmeans(artlm(m_nasa, "keytime"), pairwise ~ keytime))

  message('-------- contrasts accuracy (INLINE) --------')
  print(emmeans(artlm(m_nasa, "accuracy"), pairwise ~ accuracy))
}
```


## Bar Suggestions

```{r, dev="svglite"}
bar_nasa_plot <- plot_nasa(long_nasa_data %>% filter(suggestions_type == BAR_SUGGESTION_TYPE))

ggsave(
  graph_path("nasa-tlx-bar.pdf"),
  plot = bar_nasa_plot,
  width = FULL_WIDTH,
  height = (FULL_WIDTH - 20) / GOLDEN_RATIO,
  units = "mm",
  device = cairo_pdf
)

inline_nasa_plot
```

```{r, dev="svglite"}
for(q in levels(long_nasa_data$nasa_question)){
  nasa_q_data <- long_nasa_data %>%
    filter(nasa_question == q &
             suggestions_type == BAR_SUGGESTION_TYPE) %>% 
    select(participant, nasa_value, accuracy, keytime, nasa_question)
  m_nasa = art(nasa_value ~ keytime * accuracy, data=nasa_q_data)

  message(paste('\n==============', q, ' (BAR) =============='))
  
  message('-------- anova --------')
  m <- anova(m_nasa, type = 2)
  print(m)
  anova_tible <- anova_to_tibble(m) %>%
    mutate(question = q,
           scale = "nasa-tlx",
           suggestions = "bar")
  
  if (exists("all_anovas")) {
    all_anovas <- union_all(all_anovas, anova_tible)
  } else {
    all_anovas <- anova_tible
  }
  
  message('-------- contrasts key stroke (BAR) --------')
  print(emmeans(artlm(m_nasa, "keytime"), pairwise ~ keytime))

  message('-------- contrasts accuracy (BAR) --------')
  print(emmeans(artlm(m_nasa, "accuracy"), pairwise ~ accuracy))
}
```

## Inline vs Bar

```{r}
for(q in levels(long_nasa_data$nasa_question)) {
  nasa_q_data <- long_nasa_data %>%
    filter(nasa_question == q) %>%
    select(
      participant,
      nasa_value,
      accuracy,
      keytime,
      nasa_question,
      suggestions_type
    )
  m_nasa = art(nasa_value ~ keytime * accuracy * suggestions_type,
               data = nasa_q_data)
  
  message(paste('\n==============', q, '=============='))
  
  message('-------- anova --------')
  m <- anova(m_nasa, type = 2)
  print(m)
  
  message('-------- contrasts suggestions type --------')
  print(emmeans(
    artlm(m_nasa, "suggestions_type"),
    pairwise ~ suggestions_type
  ))
}
```



# Subjective Questionnaire


## Graph

```{r, dev="svglite"}
long_questions_data = trusted_participants_runs %>%
  gather(
    key = "question",
    value = "answer",
    factor_key = TRUE,
    controls_satisfactory,
    suggestions_accuracy,
    keyboard_use_efficiency,
    suggestion_distraction
  ) %>%
  mutate(
    # Make sure answer is a factor.
    answer =  factor(answer, levels = AGREEMENT_LEVELS, ordered = T),
    num_answer = answer %>%
      recode(
        `Strongly disagree` = -3,
        `Disagree` = -2,
        `Somewhat disagree` = -1,
        `Neither agree nor disagree` = 0,
        `Somewhat agree` = 1,
        `Agree` = 2,
        `Strongly agree` = 3
      ) %>%
      as.numeric(),
    question_label = question %>%
      recode_factor(
        suggestions_accuracy = "Perceived Accuracy",
        keyboard_use_efficiency = "Perceived Usability",
        controls_satisfactory = "Satisfaction",
        suggestion_distraction = "Suggestions' Disruptivity",
        .ordered = TRUE
      )
  ) %>%
  select(
    participant,
    question,
    question_label,
    accuracy,
    answer,
    num_answer,
    keytime,
    suggestions_type
  )


plot_levels = list(
  SCALE_COLOR_KEY_STROKE_DISCRETE,
  SCALE_FILL_KEY_STROKE_DISCRETE,
  SCALE_X_ACCURACY_DISCRETE,
  scale_y_continuous(
    limits = c(-3, 3),
    breaks = -3:3,
    labels = likert_levels <- c("Strongly disagree",
                                "",
                                "",
                                "",
                                "",
                                "",
                                "Strongly agree")
  ),
  geom_boxplot(outlier.shape = NA),
  theme(
    axis.title.y = element_blank(),
    strip.text = element_text(margin = margin(
      t = 0,
      l = 0,
      b = 2,
      r = 0
    )),
    legend.position = "none",
  )
)

ggplot(
  long_questions_data,
  aes(
    x = accuracy,
    y = num_answer,
    color = keytime,
    fill = keytime
  )
) + plot_levels +
  facet_grid(cols = vars(question_label),
             rows = vars(suggestions_type))
#
#
#   ggsave(
#     graph_path("subjective.pdf"),
#     width = FULL_WIDTH,
#     height = (FULL_WIDTH / 7) * GOLDEN_RATIO,
#     units="mm",
#     device=cairo_pdf
#   )
```


## Stats Inline Suggestions

```{r}
for(q in levels(long_questions_data$question)){
  q_data <- long_questions_data %>%
    filter(question == q & suggestions_type == INLINE_SUGGESTION_TYPE)

  m_nasa = art(answer ~ keytime * accuracy, data=q_data)

  message(paste('\n==============', q, ' (INLINE) =============='))
  
  message('-------- anova --------')
  m <- anova(m_nasa, type = 2)
  print(m)
  all_anovas <- anova_to_tibble(m) %>%
    mutate(question = q, scale="questionnaire", suggestions="inline") %>%
    union_all(all_anovas)
  message('-------- contrasts key stroke delay (INLINE) --------')
  print(emmeans(artlm(m_nasa, "keytime"), pairwise ~ keytime))

  message('-------- contrasts accuracy (INLINE) --------')
  print(emmeans(artlm(m_nasa, "accuracy"), pairwise ~ accuracy))
}
```

## Stats Bar Suggestions

```{r}
for(q in levels(long_questions_data$question)){
  q_data <- long_questions_data %>%
    filter(question == q &
             suggestions_type == BAR_SUGGESTION_TYPE)

  m_nasa = art(answer ~ keytime * accuracy, data=q_data)

  message(paste('\n==============', q, ' (BAR) =============='))
  
  message('-------- anova --------')
  m <- anova(m_nasa, type = 2)
  print(m)
  all_anovas <- anova_to_tibble(m) %>%
    mutate(question = q, scale="questionnaire", suggestions="bar") %>%
    union_all(all_anovas)
  message('-------- contrasts key stroke (BAR) --------')
  print(emmeans(artlm(m_nasa, "keytime"), pairwise ~ keytime))

  message('-------- contrasts accuracy (BAR) --------')
  print(emmeans(artlm(m_nasa, "accuracy"), pairwise ~ accuracy))
}
```


## Inline vs Bar
```{r}
long_questions_data %>%
  filter(question == "suggestion_distraction") %>%
  # filter(accuracy == 0.5) %>%
  group_by(suggestions_type) %>%
  summarise(
    n_agree = sum(answer == "Strongly agree" | answer == "Agree"),
    total = n(),
    ratio = n_agree / total
  )
```


```{r}
for(q in levels(long_questions_data$question)) {
  q_data <- long_questions_data %>%
    filter(question == q)
  
  m_nasa = art(answer ~ keytime * accuracy * suggestions_type,
               data = q_data)
  
  message(paste('\n==============', q, '=============='))
  
  message('-------- anova --------')
  m <- anova(m_nasa, type = 2)
  print(m)

  message('-------- contrasts suggestions type --------')
  print(emmeans(
    artlm(m_nasa, "suggestions_type"),
    pairwise ~ suggestions_type
  ))
  
}
```
# Export

```{r include=FALSE}
write_csv(all_anovas, 'anovas.csv')
```

[Go back to main](./main.nb.html)
