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Bivariate Distributions Underlying Responses to Ordinal Variables
The association between two ordinal variables can be expressed with a polychoric correlation coefficient. This coefficient is conventionally based on the assumption that responses to ordinal variables are generated by two underlying continuous latent ...
Laura Kolbe, Frans Oort, Suzanne Jak
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Ordered Samples Control Charts for Ordinal Variables
The paper presents a new method for statistical process control when ordinal variables are involved. This is the case of a quality characteristic evaluated by an ordinal scale. The method allows a statistical analysis without exploiting an arbitrary numerical conversion of scale levels and without using the traditional sample synthesis operators ...
FRANCESCHINI, FIORENZO +2 more
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A causal inference method for athletic injuries based on quantile threshold functions and latent Gaussian DAG models [PDF]
IntroductionCausal inference of athletic injuries provides the critical foundations for the development of effective prevention strategies. In recent years, the directed acyclic graph model (DAG) has established itself as an indispensable tool in the ...
Tao Xie, Yaxian Hao, Fen Xie
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Statistical Analysis of Ordinal Response Variable: A Comparative Study [PDF]
Response variables in biological phenomena vary between three types: numerical response variables, ordinal categorical response variables, and nominal categorical response variables. In statistical studies, handling ordinal variables varies in accordance
Liqaa Alhamdany, Zaid Tariq Salah
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A Summary Indicator Providing a Snapshot of Political Opinions when Variables are Ordinal
This paper deals with the evaluation of the relative performance of different groups when the achievements of the members of a group are summarised by the relative distribution of these achievements across various ordered categories.
Joseph Deutsch, Jacques Silber
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Median Distance Model for Likert-Type Items in Contingency Table Analysis
Likert-type items (questions) are a widely used scale in questionnaire design. The “neutral” or “undecided” option may lead to misinterpretation and confusion about the results.
Serpil Aktas Altunay +1 more
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Simultaneous optimization of quantitative and ordinal responses using Taguchi method [PDF]
In the real world, the overall quality of a product is often represented partly by the measured values of some quantitative variables and partly by the observed values of some ordinal variables.
S. Pal, S. Gauri
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Weighted Trajectory Analysis and Application to Clinical Outcome Assessment
The Kaplan–Meier (KM) estimator is widely used in medical research to estimate the survival function from lifetime data. KM estimation is a powerful tool to evaluate clinical trials due to simple computational requirements, its use of a logrank ...
Utkarsh Chauhan +3 more
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The purpose of this paper was to introduce the CMH χ2 test and SAS software implementation of the three kinds of R×C contingency table data. The first type was called “two-way unordered R×C contingency table data”.
Hu Chunyan, Hu Liangping
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The analysis of factor structures is one of the most critical psychometric applications. Frequently, variables (i.e., items or indicators) resulting from questionnaires using ordinal items with 2–7 categories are used.
Alexander Robitzsch, Alexander Robitzsch
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