Inter-rater agreement for Dichotomous data (Relevant and Observable)

We want to determine the agreement for single Facets for single Tasks, irrespective of other facets or tasks. It is not possible to calculate any forms of kappa or alpha for single items, and comparisons across facets and tasks would not be relevant for answering the research question. Therefore, the best approach is to report the proportion of raters in agreement.

Presentation

Presentation relevant facets

This table presents the 15 most relevant facets on the Presentation task as well as the number of raters who responded that the facet was relevant (in lieu of % agreement):

Relevance of NEO Facets on Presentation Task
1 2 3 4 5 6 7 8 9 row_sum
Pres_Assertiveness_Relevant 1 1 1 1 1 1 1 1 1 9
Pres_SelfEfficacy_Relevant 1 1 1 1 1 1 1 1 1 9
Pres_Cooperation_Relevant 1 0 1 1 1 1 1 1 1 8
Pres_Friendliness_Relevant 0 1 1 1 0 1 1 1 1 7
Pres_Sympathy_Relevant 1 1 1 1 0 1 1 1 0 7
Pres_Anxiety_Relevant 0 1 1 1 0 1 1 1 1 7
Pres_Liberalism_Relevant 1 1 1 1 0 0 1 1 1 7
Pres_Gregariousness_Relevant 0 0 0 1 1 1 1 1 1 6
Pres_Cheerfulnessful_Relevant 1 1 0 1 0 1 1 1 0 6
Pres_Morality_Relevant 0 1 1 1 0 0 1 1 1 6
Pres_Vulnerability_Relevant 1 1 0 1 0 1 1 1 0 6
Pres_Emotionality_Relevant 0 0 0 1 1 1 1 1 1 6
Pres_Intellect_Relevant 1 1 0 1 0 0 1 1 1 6
Pres_Altruism_Relevant 1 1 0 0 0 1 1 1 0 5
Pres_Modesty_Relevant 0 0 0 1 0 1 1 1 1 5

Presentation observable facets

This table presents the 15 most observable facets on the Presentation task:

Observability of NEO Facets on Presentation Task
1 2 3 4 5 6 7 8 9 row_sum
Pres_Assertiveness_Observable 1 1 1 1 1 1 1 1 1 9
Pres_Gregariousness_Observable 0 1 1 1 1 1 1 1 1 8
Pres_Cheerfulnessful_Observable 0 1 1 1 1 1 1 1 1 8
Pres_SelfEfficacy_Observable 1 1 1 1 0 1 1 1 1 8
Pres_Friendliness_Observable 0 1 1 1 0 1 1 1 1 7
Pres_Cooperation_Observable 1 0 1 1 1 1 0 1 1 7
Pres_Sympathy_Observable 1 1 0 1 1 1 0 1 1 7
Pres_Anxiety_Observable 0 1 1 1 0 1 1 1 1 7
Pres_Altruism_Observable 1 0 1 0 1 1 0 1 1 6
Pres_Modesty_Observable 0 1 0 1 0 1 1 1 1 6
Pres_Depression_Observable 0 1 1 1 0 1 0 1 1 6
Pres_SelfConsciousness_Observable 0 0 1 1 0 1 1 1 1 6
Pres_Vulnerability_Observable 1 0 0 1 0 1 1 1 1 6
Pres_Emotionality_Observable 0 0 0 1 1 1 1 1 1 6
Pres_Orderliness_Observable 0 0 0 1 1 1 0 1 1 5

Presentation optimal levels

This table presents the average of optimal level ratings for the presentation task.

Optimal Level of Relevant NEO Facets on Presentation Task
1 2 3 4 5 6 7 8 9 row_mean
Pres_Friendliness_OptLvl NA 4 4 5 NA 4 5 4 4 4.285714
Pres_Assertiveness_OptLvl 6 6 5 6 4 6 5 6 6 5.555556
Pres_Cooperation_OptLvl 4 NA 4 5 6 5 6 6 2 4.750000
Pres_Sympathy_OptLvl 6 6 4 4 NA 5 5 5 1 4.500000
Pres_SelfEfficacy_OptLvl 6 6 4 6 6 6 6 6 4 5.555556
Pres_Anxiety_OptLvl NA 5 3 1 NA 1 2 1 1 2.000000

psych::ICC works better because it allows you to handle missing values. The statistic we are interested in is Average_random_raters.

## Call: ICC(x = pres_optlvl, missing = FALSE, alpha = 0.05, lmer = TRUE)
## 
## Intraclass correlation coefficients 
##                          type  ICC  F df1 df2       p lower bound upper bound
## Single_raters_absolute   ICC1 0.52 11   5  48 4.6e-07        0.24        0.88
## Single_random_raters     ICC2 0.53 14   5  40 6.4e-08        0.25        0.88
## Single_fixed_raters      ICC3 0.59 14   5  40 6.4e-08        0.30        0.90
## Average_raters_absolute ICC1k 0.91 11   5  48 4.6e-07        0.74        0.99
## Average_random_raters   ICC2k 0.91 14   5  40 6.4e-08        0.75        0.99
## Average_fixed_raters    ICC3k 0.93 14   5  40 6.4e-08        0.79        0.99
## 
##  Number of subjects = 6     Number of Judges =  9
## See the help file for a discussion of the other 4 McGraw and Wong estimates,

Group Discussion

Group Discussion: Relevance

Relevance of NEO Facets for Group Discussion Task
1 2 3 4 5 6 7 8 9 row_sum
Grp_Friendliness_Relevant 1 1 1 1 1 1 1 1 1 9
Grp_Assertiveness_Relevant 1 1 1 1 1 1 1 1 1 9
Grp_Cooperation_Relevant 1 1 1 1 1 1 1 1 1 9
Grp_Gregariousness_Relevant 0 1 0 1 1 1 1 1 1 7
Grp_Modesty_Relevant 1 1 1 1 0 1 1 1 0 7
Grp_AchievementStriving_Relevant 1 0 0 1 1 1 1 1 1 7
Grp_Anxiety_Relevant 0 1 0 1 1 1 1 1 1 7
Grp_Intellect_Relevant 1 1 0 1 1 1 0 1 1 7
Grp_SelfEfficacy_Relevant 1 1 0 1 1 1 1 0 0 6
Grp_SelfConsciousness_Relevant 0 0 1 1 0 1 1 1 1 6
Grp_Anger_Relevant 0 0 0 1 0 1 1 1 1 5
Grp_Vulnerability_Relevant 0 1 0 1 0 1 0 1 1 5
Grp_Imagination_Relevant 0 0 0 1 1 1 0 1 1 5
Grp_Cheerfulness_Relevant 0 0 0 1 0 1 1 1 0 4
Grp_Trust_Relevant 1 1 0 1 0 0 1 0 0 4

Group Discussion: Observability

Observability of NEO Facets on Group Discussion Task
1 2 3 4 5 6 7 8 9 row_sum
Grp_Friendliness_Observable 1 1 1 1 1 1 1 1 1 9
Grp_Gregariousness_Observable 0 1 1 1 1 1 1 1 1 8
Grp_Assertiveness_Observable 0 1 1 1 1 1 1 1 1 8
Grp_Cooperation_Observable 0 1 1 1 1 1 1 1 1 8
Grp_Anxiety_Observable 0 1 1 1 1 1 1 1 1 8
Grp_Cheerfulness_Observable 0 0 1 1 1 1 1 1 1 7
Grp_Modesty_Observable 0 1 1 1 0 1 1 1 1 7
Grp_SelfEfficacy_Observable 0 1 1 1 1 1 0 0 1 6
Grp_Anger_Observable 0 0 1 1 0 1 1 1 1 6
Grp_Intellect_Observable 0 1 0 1 1 1 0 1 1 6
Grp_Morality_Observable 0 1 0 1 1 1 0 0 1 5
Grp_AchievementStriving_Observable 0 0 0 1 0 1 1 1 1 5
Grp_SelfConsciousness_Observable 0 0 1 1 0 1 0 1 1 5
Grp_Vulnerability_Observable 0 1 0 1 0 1 0 1 1 5
Grp_Trust_Observable 0 1 0 1 0 0 1 0 1 4

Group Discussion: Optimal level

Optimal Level of Relevant NEO Facets on Group Discussion Task
1 2 3 4 5 6 7 8 9 row_mean
Grp_Friendliness_OptLvl 5 6 4 4 6 5 5 4 5 4.888889
Grp_Gregariousness_OptLvl NA 6 NA 4 6 6 6 5 5 5.428571
Grp_Assertiveness_OptLvl 6 6 4 6 5 5 6 5 6 5.444444
Grp_Cooperation_OptLvl 6 2 3 3 3 4 5 3 6 3.888889
Grp_Modesty_OptLvl 6 3 3 2 NA 2 4 2 1 2.875000
Grp_AchievementStriving_OptLvl 6 NA NA 6 5 5 5 5 6 5.428571
## Call: ICC(x = grp_optlvl, missing = FALSE, alpha = 0.05, lmer = TRUE)
## 
## Intraclass correlation coefficients 
##                          type  ICC    F df1 df2       p lower bound upper bound
## Single_raters_absolute   ICC1 0.47  8.8   5  48 5.3e-06        0.19        0.86
## Single_random_raters     ICC2 0.47 11.1   5  40 9.7e-07        0.20        0.86
## Single_fixed_raters      ICC3 0.53 11.1   5  40 9.7e-07        0.24        0.88
## Average_raters_absolute ICC1k 0.89  8.8   5  48 5.3e-06        0.68        0.98
## Average_random_raters   ICC2k 0.89 11.1   5  40 9.7e-07        0.69        0.98
## Average_fixed_raters    ICC3k 0.91 11.1   5  40 9.7e-07        0.74        0.99
## 
##  Number of subjects = 6     Number of Judges =  9
## See the help file for a discussion of the other 4 McGraw and Wong estimates,

Critique

Critique: Relevance

Relevance of NEO Facets for Critique Task
1 2 3 4 5 6 7 8 9 row_sum
Crit_Assertiveness_Relevant 1 1 1 1 1 1 1 1 1 9
Crit_Anger_Relevant 1 1 1 1 1 1 1 1 1 9
Crit_Friendliness_Relevant 0 1 1 1 1 1 1 1 1 8
Crit_Altruism_Relevant 0 1 1 1 1 1 1 1 1 8
Crit_Cooperation_Relevant 1 1 1 1 0 1 1 1 1 8
Crit_Dutifulness_Relevant 1 1 0 1 1 1 1 1 1 8
Crit_Morality_Relevant 0 1 1 1 1 1 0 1 1 7
Crit_Cautiousness_Relevant 1 0 1 1 1 1 0 1 1 7
Crit_Anxiety_Relevant 1 1 1 1 1 1 0 1 0 7
Crit_Sympathy_Relevant 0 0 1 1 0 1 1 1 1 6
Crit_Cheerfulness_Relevant 1 1 1 0 0 1 1 0 0 5
Crit_SelfEfficacy_Relevant 1 0 1 1 1 0 1 0 0 5
Crit_Orderliness_Relevant 1 0 0 1 0 1 0 1 1 5
Crit_AchievementStriving_Relevant 1 0 0 1 0 1 1 1 0 5
Crit_SelfConsciousness_Relevant 1 1 0 1 0 1 0 1 0 5

Critique: Observability

Observability of NEO Facets on Critique Task
1 2 3 4 5 6 7 8 9 row_sum
Crit_Anger_Observable 1 1 1 1 1 1 1 1 1 9
Crit_Assertiveness_Observable 0 1 1 1 1 1 1 1 1 8
Crit_Altruism_Observable 0 1 1 1 1 1 1 1 1 8
Crit_Cooperation_Observable 1 1 1 1 0 1 1 1 1 8
Crit_Anxiety_Observable 1 1 1 1 1 1 0 1 1 8
Crit_Friendliness_Observable 0 1 1 1 0 1 1 1 1 7
Crit_Sympathy_Observable 0 0 1 1 1 1 1 1 1 7
Crit_Dutifulness_Observable 0 1 0 1 1 1 1 1 1 7
Crit_Cheerfulness_Observable 0 1 1 0 1 1 1 0 1 6
Crit_Orderliness_Observable 0 0 1 1 1 1 0 1 1 6
Crit_SelfConsciousness_Observable 0 1 0 1 1 1 0 1 1 6
Crit_Vulnerability_Observable 0 1 1 1 0 1 0 1 1 6
Crit_SelfEfficacy_Observable 0 0 1 1 1 0 1 0 1 5
Crit_AchievementStriving_Observable 0 0 0 1 0 1 1 1 1 5
Crit_SelfDiscipline_Observable 0 1 1 0 0 1 1 0 1 5

Critique: Optimal level

Optimal Level of Relevant NEO Facets on Critique Task
1 2 3 4 5 6 7 8 9 row_mean
Crit_Friendliness_OptLvl NA 3 5 4 5 4 5 4 3 4.125
Crit_Assertiveness_OptLvl 4 6 4 5 4 5 5 6 6 5.000
Crit_Altruism_OptLvl NA 5 4 5 4 5 5 5 4 4.625
Crit_Cooperation_OptLvl 4 1 3 6 NA 4 6 3 2 3.625
Crit_Dutifulness_OptLvl 6 5 NA 5 6 6 4 5 3 5.000
Crit_Anger_OptLvl 2 4 2 1 2 1 1 1 4 2.000
## boundary (singular) fit: see help('isSingular')
## Call: ICC(x = crit_optlvl, missing = FALSE, alpha = 0.05, lmer = TRUE)
## 
## Intraclass correlation coefficients 
##                          type  ICC   F df1 df2       p lower bound upper bound
## Single_raters_absolute   ICC1 0.49 9.5   5  48 2.4e-06        0.21        0.86
## Single_random_raters     ICC2 0.49 9.5   5  40 5.0e-06        0.21        0.86
## Single_fixed_raters      ICC3 0.49 9.5   5  40 5.0e-06        0.20        0.86
## Average_raters_absolute ICC1k 0.89 9.5   5  48 2.4e-06        0.70        0.98
## Average_random_raters   ICC2k 0.89 9.5   5  40 5.0e-06        0.70        0.98
## Average_fixed_raters    ICC3k 0.89 9.5   5  40 5.0e-06        0.69        0.98
## 
##  Number of subjects = 6     Number of Judges =  9
## See the help file for a discussion of the other 4 McGraw and Wong estimates,

Teaching task

Teaching: Relevance

Relevance of NEO Facets for Teaching Task
1 2 3 4 5 6 7 8 9 row_sum
Teach_Friendliness_Relevant 1 1 1 1 1 1 1 1 1 9
Teach_Assertiveness_Relevant 1 1 1 1 1 1 1 1 1 9
Teach_Cheerfulness_Relevant 1 1 1 1 1 1 1 1 1 9
Teach_Altruism_Relevant 0 1 1 1 0 1 1 1 1 7
Teach_Modesty_Relevant 1 0 1 1 0 1 1 1 1 7
Teach_Intellect_Relevant 1 1 0 1 1 0 1 1 1 7
Teach_Cooperation_Relevant 0 0 0 1 1 1 1 1 1 6
Teach_Anger_Relevant 0 1 0 1 1 1 1 1 0 6
Teach_Gregariousness_Relevant 0 0 0 1 0 1 1 1 1 5
Teach_Sympathy_Relevant 0 0 0 1 0 1 1 1 1 5
Teach_SelfEfficacy_Relevant 1 0 0 1 1 0 1 1 0 5
Teach_Orderliness_Relevant 0 1 0 1 1 0 0 1 1 5
Teach_SelfDiscipline_Relevant 0 1 0 1 0 0 1 1 1 5
Teach_Imagination_Relevant 1 1 0 1 0 0 0 1 1 5
Teach_ActivityLevel_Relevant 1 0 0 1 0 1 1 0 0 4

Teaching: Observability

Observability of NEO Facets on Teaching Task
1 2 3 4 5 6 7 8 9 row_sum
Teach_Friendliness_Observable 1 1 1 1 1 1 1 1 1 9
Teach_Cheerfulness_Observable 0 1 1 1 1 1 1 1 1 8
Teach_Anger_Observable 0 1 1 1 1 1 1 1 1 8
Teach_Altruism_Observable 0 1 1 1 0 1 1 1 1 7
Teach_Cooperation_Observable 0 0 1 1 1 1 1 1 1 7
Teach_Gregariousness_Observable 0 0 1 1 0 1 1 1 1 6
Teach_Assertiveness_Observable 0 0 1 1 0 1 1 1 1 6
Teach_Modesty_Observable 0 0 1 1 0 1 0 1 1 5
Teach_Sympathy_Observable 0 0 0 1 0 1 1 1 1 5
Teach_SelfConsciousness_Observable 0 0 1 1 0 0 1 1 1 5
Teach_Intellect_Observable 0 1 0 1 0 0 1 1 1 5
Teach_Orderliness_Observable 0 0 0 1 1 0 0 1 1 4
Teach_Anxiety_Observable 0 0 1 1 0 0 0 1 1 4
Teach_Depression_Observable 0 1 1 0 0 0 0 1 1 4
Teach_Vulnerability_Observable 0 1 0 1 0 0 0 1 1 4

Teaching: Optimal level

Optimal Levels of most relevant NEO Facets for Teaching Task
1 2 3 4 5 6 7 8 9 row_mean
Teach_Friendliness_OptLvl 6 6 4 4 4 5 6 6 6 5.222222
Teach_Assertiveness_OptLvl 4 5 2 5 4 4 5 4 5 4.222222
Teach_Cheerfulness_OptLvl 5 5 4 5 4 6 5 5 5 4.888889
Teach_Altruism_OptLvl NA 5 4 6 NA 5 5 6 5 5.142857
Teach_Modesty_OptLvl 4 NA 4 3 NA 4 4 5 3 3.857143
Teach_Intellect_OptLvl 6 5 NA 6 4 NA 4 5 6 5.142857
## Call: ICC(x = teach_optlvl, missing = FALSE, alpha = 0.05, lmer = TRUE)
## 
## Intraclass correlation coefficients 
##                          type  ICC   F df1 df2       p lower bound upper bound
## Single_raters_absolute   ICC1 0.25 4.0   5  48 0.00402       0.044        0.72
## Single_random_raters     ICC2 0.27 5.4   5  40 0.00066       0.067        0.73
## Single_fixed_raters      ICC3 0.33 5.4   5  40 0.00066       0.088        0.78
## Average_raters_absolute ICC1k 0.75 4.0   5  48 0.00402       0.291        0.96
## Average_random_raters   ICC2k 0.77 5.4   5  40 0.00066       0.394        0.96
## Average_fixed_raters    ICC3k 0.82 5.4   5  40 0.00066       0.466        0.97
## 
##  Number of subjects = 6     Number of Judges =  9
## See the help file for a discussion of the other 4 McGraw and Wong estimates,

Summary

This summary table displays the number of raters who agreed that each facet was relevant in each task