Function for calculating the elements of the Iota Concept 2
Arguments
- aem
Assignment Error Matrix.
- categorical_sizes
Probabilities for the different categories to occur.
- categorical_levels
Vectorcontaining all possible categories of the content analysis.
Value
Returns a list of all measures belonging to the Iota Concept
of the second generation.
The first component estimates_categorical_level comprises all
elements that describe the ratings on a categorical level. The elements are
sub-divided into raw estimates and chance-corrected estimates.
raw_estimates-
iota:A vector containing the Iota values for each category.
iota_error_1:A vector containing the Iota Error Type I values for each category.
iota_error_2:A vector containing the Iota Error Type II values for each category.
alpha_reliability:A vector containing the Alpha Reliabilities for each category. These values represent probabilities.
beta_reliability:A vector containing the Beta Reliabilities for each category. These values represent probabilities.
assignment_error_matrix:Assignment Error Matrix containing the conditional probabilities for assigning a unit of category i to categories 1 to n.
elements_chance_corrected-
alpha_reliability:A vector containing the chance-corrected Alpha Reliabilities for each category.
beta_reliability:A vector containing the chance-corrected Beta Reliabilities for each category.
The second component estimates_scale_level contains elements for
describing the quality of the ratings on a scale level. It comprises the
following elements:
iota_index:The Iota Index, representing the reliability on a scale level.
iota_index_d4:The Static Iota Index, which is a transformation of the original Iota Index, in order to consider the uncertainty of estimation.
iota_index_dyn2:The Dynamic Iota Index, which is a transformation of the original Iota Index, in order to consider the uncertainty of estimation.