The Kaufman Brief Intelligence Test--Second Edition (KBIT-2) is designed to measure verbal and nonverbal abilities in a wide range of individuals from 4 years 0 months to 90 years 11 months of age. This study examines both the advantages of using Mokken Scale Analysis (MSA) in intelligence tests and the hierarchical order of the items in the…

The dimensionality is one of the most investigated concepts in the psychological assessment, and there are many ways to determine the dimensionality of a measured construct. The Automated Item Selection Procedure (AISP) and the DETECT are non-parametric methods aiming to determine the factorial structure of a data set. In the current study,…

Listening comprehension in English, as one of the most fundamental skills, has an essential role in the process of learning English. Mokken scale analysis (MSA) is a probabilistic-nonparametric approach to item response theory (IRT) which determines the one-dimensionality and scalability of test. Mokken scaling techniques are a useful tool for…

This study investigated the scalability of a cognitive multiple-choice test through the Mokken package in the R programming language for statistical computing. A 2019 mathematics West African Examinations Council (WAEC) instrument was used to gather data from randomly drawn K-12 participants (N = 2866; Male = 1232; Female = 1634; Mean age = 16.5…

Mokken models have recently started to become the preferred method of researchers from different fields in studies of nonparametric item response theory (NIRT). Despite increasing application of these models, some features of this type of modelling need further study and explanation. Invariant item ordering (IIO) is one of these areas, which the…

This study investigated dimensionality of Binary Response Items through a non-parametric technique of Item Response Theory measurement framework. The study used causal comparative research type of nonexperimental design. The sample consisted of 5,076 public senior secondary school examinees (SSS3) between the age of 14-16 years from 45 schools,…

Large-scale standardized ESL tests such as the International English Language Testing System (IELTS) are widely used around the world to measure the language proficiency of test-takers and make different decisions based on their scores. Reading comprehension is an integral part of such tests which requires test-takers to read passages and answer a…

The purpose of this study is to examine the validity of the scale for identifying gifted children, whose validity was proven by exploratory, confirmatory factor analysis, and whose reliability was proven the Cronbach alpha coefficient for identifying children in the 3-6 age group, using Mokken scaling based on nonparametric item response theory.…

Item response theory (IRT) has so many advantages than its precedent Classical Test Theory (CTT) such as non-changing item parameters, ability parameter estimations free from the items. However, in order to get these advantages, some assumptions should be met and they are; unidimensionality, normality and local independence. However, it is not…

Item response models typically assume that the item characteristic (step) curves follow a logistic or normal cumulative distribution function, which are strictly monotone functions of person test ability. Such assumptions can be overly-restrictive for real item response data. We propose a simple and more flexible Bayesian nonparametric IRT model…

This paper presents a non-parametric imputation technique, named random forest, from the machine learning field. The random forest procedure has two main tuning parameters: the number of trees grown in the prediction and the number of predictors used. Fifty experimental conditions were created in the imputation procedure, with different…

Linear factor analysis models used to examine constructs underlying the responses are not very suitable for dichotomous or polytomous response formats. The associated problems cannot be eliminated by polychoric or tetrachoric correlations in place of the Pearson correlation. Therefore, we considered parameters obtained from the NOHARM and FACTOR…

Central in the frameworks proposed to capture the knowledge needed for teaching mathematics is the assumption that teachers need more than pure subject-matter knowledge. Validation studies exploring this assumption by recruiting contrasting populations are relatively scarce. Drawing on a sample of 644 Greek-Cypriots preservice and inservice…

The main purpose of this paper is provide information relevant for the formulation of new policies for the integration of technology in education from the discussion of research results that analyse computer skills and digital media uses among students (between 12 to 18 years old) from schools in the city of Rio de Janeiro, Brazil. The schools…

Nowadays, almost all curricula in the social sciences contain at least one course in statistics, given the importance of this discipline as a basic knowledge to understand the modern world. It's necessary reflects on the student's attitude to statistics, because it's could be an obstacle or an advantage in their learning process. To measure the…