• Title/Summary/Keyword: Ordered categorical variable

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On the Categorical Variable Clustering

  • Kim, Dae-Hak
    • Journal of the Korean Data and Information Science Society
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    • v.7 no.2
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    • pp.219-226
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    • 1996
  • Basic objective in cluster analysis is to discover natural groupings of items or variables. In general, variable clustering was conducted based on some similarity measures between variables which have binary characteristics. We propose a variable clustering method when variables have more categories ordered in some sense. We also consider some measures of association as a similarity between variables. Numerical example is included.

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Imputation for Binary or Ordered Categorical Traits Based on the Bayesian Threshold Model (베이지안 분계점 모형에 의한 순서 범주형 변수의 대체)

  • Lee Seung-Chun
    • The Korean Journal of Applied Statistics
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    • v.18 no.3
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    • pp.597-606
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    • 2005
  • The nonresponse in sample survey causes a problem when it comes time to analyze dataset in public-use files where the user has only complete-data methods available and has limited information about the reasons for nonresponse. Recently imputation for nonresponse is becoming a standard approach for handling nonresponse and various imputation methods have been devised . However, most imputation methods concern with continuous traits while many interesting features are measured by binary or ordered categorical scales in sample survey. In this note. an imputation method for ignorable nonresponse in binary or ordered categorical traits is considered.

Bayesian Analysis of Korean Alcohol Consumption Data Using a Zero-Inflated Ordered Probit Model (영 과잉 순서적 프로빗 모형을 이용한 한국인의 음주자료에 대한 베이지안 분석)

  • Oh, Man-Suk;Oh, Hyun-Tak;Park, Se-Mi
    • The Korean Journal of Applied Statistics
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    • v.25 no.2
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    • pp.363-376
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    • 2012
  • Excessive zeroes are often observed in ordinal categorical response variables. An ordinary ordered Probit model is not appropriate for zero-inflated data especially when there are many different sources of generating 0 observations. In this paper, we apply a two-stage zero-inflated ordered Probit (ZIOP) model which incorporate the zero-flated nature of data, propose a Bayesian analysis of a ZIOP model, and apply the method to alcohol consumption data collected by the National Bureau of Statistics, Korea. In the first stage of a ZIOP model, a Probit model is introduced to divide the non-drinkers into genuine non-drinkers who do not participate in drinking due to personal beliefs or permanent health problems and potential drinkers who did not drink at the time of the survey but have the potential to become drinkers. In the second stage, an ordered probit model is applied to drinkers that consists of zero-consumption potential drinkers and positive consumption drinkers. The analysis results show that about 30% of non-drinkers are genuine non-drinkers and hence the Korean alcohol consumption data has the feature of zero-inflated data. A study on the marginal effect of each explanatory variable shows that certain explanatory variables have effects on the genuine non-drinkers and potential drinkers in opposite directions, which may not be detected by an ordered Probit model.