• Title, Summary, Keyword: test dimensionality

Search Result 46, Processing Time 0.033 seconds

Size of Test for Dimensionality in Discriminant Analysis

  • Hwang, Chang-Ha
    • Journal of the Korean Data and Information Science Society
    • /
    • v.6 no.2
    • /
    • pp.9-15
    • /
    • 1995
  • In discriminant analysis the procedures commonly used to estimate the dimensionality involve testing a sequence of dimensionality hypotheses. There is a problem with the size of the test since dimensionality hypotheses are tested sequentially and thus they are actually conditional tests. The focus of this paper is "How is the size of the test affected by viewing this sequence of tests as conditional tests?".

  • PDF

On Effect of Nonnormality on Size of Test for Dimensionality in Discriminant Analysis

  • Changha Hwang
    • Communications for Statistical Applications and Methods
    • /
    • v.3 no.3
    • /
    • pp.25-30
    • /
    • 1996
  • In discriminant analysis the procedures commonly used to estimate the dimensionality involve testing a sequence of dimensionality hypotheses. There is a problem with the size of the test since dimensionality hypotheses are tested sequentially and thus they are actually conditional tests. The focus of this paper is to investigate in asymptotic sense what happens to the sequential testing procedure if the assumption of normality does not hold.

  • PDF

A NEW INDEX OF DIMENSIONALITY - DETECT

  • Kim, Hae-Rim
    • The Pure and Applied Mathematics
    • /
    • v.3 no.2
    • /
    • pp.141-154
    • /
    • 1996
  • A data-driven index of dimensionality for an educational or psychological test - DETECT, short for Dimensionality Evaluation To Enumerate Contributing Traits, is proposed in this paper. It is based on estimated conditional covariances of item pairs, given score on remaining test items. Its purpose is to detect whatever multidimensionality structure exists, especially in the case of approximate simple structure. It does so by assigning items to relatively dimensionally homogeneous clusters via attempted maximization of the DETECT over all possible item cluster partitions. The performance of DETECT is studied through real and simulated data analyses.

  • PDF

A Refinement on DETECT for Polytomous Test Data

  • Kim, Hae-Rim
    • Communications for Statistical Applications and Methods
    • /
    • v.13 no.3
    • /
    • pp.467-477
    • /
    • 2006
  • A multidimensionality detecting procedure DETECT, based on conditional covariances between items, is extended and refined to deal with polytomous item data as well as binary one. A large body of simulation study shows extraordinary performance of DETECT in both enumerating degrees of multidimensionality in a test and discovering dimensionally distinctive item clusters. Real data study also provides very meaningful results, making DETECT a strong dimensionality assessment tool for the test data analysis.

A Dimensionality Assessment for Polytomously Scored Items Using DETECT

  • Kim, Hae-Rim
    • Communications for Statistical Applications and Methods
    • /
    • v.7 no.2
    • /
    • pp.597-603
    • /
    • 2000
  • A versatile dimensionality assessment index DETECT has been developed for binary item response data by Kim (1994). The present paper extends the use of DETECT to the polytomously scored item data. A simulation study shows DETECT performs well in differentiating multidimensional data from unidimensional one by yielding a greater value of DETECT in the case of multidimensionality. An additional investigation is necessary for the dimensionally meaningful clustering methods, such as HAC for binary data, particularly sensitive to the polytomous data.

  • PDF

Asymptotic Test for Dimensionality in Probabilistic Principal Component Analysis with Missing Values

  • Park, Chong-sun
    • Communications for Statistical Applications and Methods
    • /
    • v.11 no.1
    • /
    • pp.49-58
    • /
    • 2004
  • In this talk we proposed an asymptotic test for dimensionality in the latent variable model for probabilistic principal component analysis with missing values at random. Proposed algorithm is a sequential likelihood ratio test for an appropriate Normal latent variable model for the principal component analysis. Modified EM-algorithm is used to find MLE for the model parameters. Results from simulations and real data sets give us promising evidences that the proposed method is useful in finding necessary number of components in the principal component analysis with missing values at random.

Asymptotic Test for Dimensionality in Sliced Inverse Regression (분할 역회귀모형에서 차원결정을 위한 점근검정법)

  • Park, Chang-Sun;Kwak, Jae-Guen
    • The Korean Journal of Applied Statistics
    • /
    • v.18 no.2
    • /
    • pp.381-393
    • /
    • 2005
  • As a promising technique for dimension reduction in regression analysis, Sliced Inverse Regression (SIR) and an associated chi-square test for dimensionality were introduced by Li (1991). However, Li's test needs assumption of Normality for predictors and found to be heavily dependent on the number of slices. We will provide a unified asymptotic test for determining the dimensionality of the SIR model which is based on the probabilistic principal component analysis and free of normality assumption on predictors. Illustrative results with simulated and real examples will also be provided.

Gene-Gene Interaction Analysis for the Accelerated Failure Time Model Using a Unified Model-Based Multifactor Dimensionality Reduction Method

  • Lee, Seungyeoun;Son, Donghee;Yu, Wenbao;Park, Taesung
    • Genomics & Informatics
    • /
    • v.14 no.4
    • /
    • pp.166-172
    • /
    • 2016
  • Although a large number of genetic variants have been identified to be associated with common diseases through genome-wide association studies, there still exits limitations in explaining the missing heritability. One approach to solving this missing heritability problem is to investigate gene-gene interactions, rather than a single-locus approach. For gene-gene interaction analysis, the multifactor dimensionality reduction (MDR) method has been widely applied, since the constructive induction algorithm of MDR efficiently reduces high-order dimensions into one dimension by classifying multi-level genotypes into high- and low-risk groups. The MDR method has been extended to various phenotypes and has been improved to provide a significance test for gene-gene interactions. In this paper, we propose a simple method, called accelerated failure time (AFT) UM-MDR, in which the idea of a unified model-based MDR is extended to the survival phenotype by incorporating AFT-MDR into the classification step. The proposed AFT UM-MDR method is compared with AFT-MDR through simulation studies, and a short discussion is given.

The Predictability of Emotional Labor Dimensions on Job Stress, Customer Orientation, and Job Satisfaction

  • Yoh, Eun-Ah
    • Journal of the Korean Society of Clothing and Textiles
    • /
    • v.36 no.6
    • /
    • pp.601-615
    • /
    • 2012
  • In this study, two representative measures in the job-focused approach and the employee-focused approach of emotional labor are explored to examine dimensionality and the predictability of each emotional labor measure on key consequences that include job stress, customer orientation, and job satisfaction. Data obtained from 193 department store apparel saleswomen were submitted for analysis. The results show that the emotional dissonance and emotional effort of the Kruml and Geddes measure are good predictors for job stress, customer orientation, and job satisfaction. In a test of the Davies measure, job stress is predicted by emotional dissonance and frequency while customer orientation is predicted by duration, variety, and the frequency of emotional expression in jobs. Duration is also a key predictor for job satisfaction. The result confirm the dimensionality and predictability of two emotional labor measures as well as suggests the need for the careful selection and refinement of appropriate measures according to consequences.

Measuring health activation among foreign students in South Korea: initial evaluation of the feasibility, dimensionality, and reliability of the Consumer Health Activation Index (CHAI)

  • Park, MJ;Jung, Hun Sik
    • International Journal of Advanced Culture Technology
    • /
    • v.8 no.3
    • /
    • pp.192-197
    • /
    • 2020
  • Foreign students in South Korea face important challenges when they try to maintain their health. As a measure of their motivation to actively build skills for overcoming those challenges, we evaluated the 10-item Consumer Health Activation Index (CHAI), testing its feasibility, dimensionality, and reliability. There were no missing data, there was no floor effect, and for the total scores the ceiling effect was trivial (< 2%). Results of the Kaiser-Meyer-Olkin test and Bartlett's test of sphericity indicated that the data were suitable for the detection of structure by factor analysis. The results of parallel analysis and the shape of the scree plot supported a two-factor solution. One factor had 3 items concerning "my doctor" and the other factor had the 7 remaining items. Reliability was high for the 10-item CHAI (alpha = 0.856), for the 3-item subscale (alpha = 0.838), and for the 7-item subscale (alpha = 0.857). Reliability could not be improved by deletion of any items. Use of the CHAI to gather data from these foreign students is feasible, and reliable results can be obtained whether one uses the total score from all 10 items or scores from the proposed 7-item and 3-item subscales.