• Title/Summary/Keyword: qualitative probability

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미국 초등학교 수학 교과서 "Everyday Mathematics" 의 확률 영역 분석 (An Analysis of the United States Elementary Mathematics Textbooks - Focused on Probability in "Everyday Mathematics" -)

  • 박상욱;박교식;김지원
    • 한국초등수학교육학회지
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    • 제18권3호
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    • pp.475-492
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    • 2014
  • 본 연구는 우리나라의 확률 개념 지도의 바람직한 방향을 모색하기 위해 미국의 초등학교 수학 교과서인 "Everyday Mathematics"의 확률 영역 내용을 분석한 것이다. "Everyday Mathematics"는 유치원부터 점진적으로 확률 개념을 습득할 수 있도록 구성되어 있으며, 고전적 관점의 확률 정의를 도입하기 전에 다양한 방법으로 질적 확률을 지도하고 있다. 또, 학생들의 확률 오개념을 극복할 수 있도록 지도하는 활동을 다수 포함하고 있다. 이러한 분석을 바탕으로 우리나라 교육과정 개정과 교과서 개발에서 고려해야 할 점을 확률의 지도 시기, 질적 확률의 지도, 가능성의 수량화, equally likely의 지도, 통계적 확률과 수학적 확률의 연결의 5가지 측면에서 논의하였다.

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확률분포에 따른 불확실한 변수를 고려한 위험도기반의 정성적 평가 (Qualitative RBI Analysis in Considered with Uncertain Variables by Probabilistic Distribution)

  • 허호진;정재욱;김주동;최재붕;최송천;황인주
    • 설비공학논문집
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    • 제25권2호
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    • pp.70-78
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    • 2013
  • Plants which are having conditions of high temperature and pressure always are exposed to danger. In order to prevent unexpected accidents, safety management that can effectively and appropriately examine facilities is required in plant operation. RBI(Risk-Based Inspection) technology in API 581 is one of standard management technique for evaluating risk on petroleum plants. There are qualitative and quantitative assessments in RBI methodology. Quantitative evaluation step is complex and required much information, so high-risk facilities in plant are selected firstly by qualitative method. Qualitative RBI is performed by choosing the answer in prepared questionnaire. However, it is difficult to believe thoroughly results from survey including ambiguous information. In this study, the procedure of qualitative RBI analysis with considering probability distribution concept were proposed by using Monte Carlo simulation method in order to increase reliability in spite of uncertain factors. In addition, qualitative risk of cooling system for LNG plant was evaluated using proposed procedure. Although 20 items of total 39 assessment items are applied to uncertain factors, risk section of high probability(89%) were verified. The detailed results were described in manuscript.

임무수행 경과에 따른 항공기 생존성 평가기법 연구 (A Study of the Evaluating Method for the Survivability of Aircraft during Mission Completion)

  • 윤봉수
    • 한국국방경영분석학회지
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    • 제22권2호
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    • pp.166-181
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    • 1996
  • Aircraft survivability is determined by the susceptibility and the vulnerability. The aircraft susceptibility and vulnerability depend upon the hardware and software factors. Each of the hardware and software factors consisted of the qualitative and quantitative attributes varies according to the time of the mission. In order to establish the mathermatical model to analyze and evaluate the aircraft survivability, qualitative factors have to be transformed into quantitative factors. Even if many researches in the area of dynamic concept analysis and conversion of qualitative factors into the quantitative factors has been insufficient. This research enhances these insufficient area by developing a reliable aircarft survivability analysis method. The major areas of this research are as follows. First, a method for the conversion of the qualitative factors into the quantitative factors is developed by combining the Fuzzy Set Theory concept and the Delphi Technique. Second, by using the stochastic network diagram for the dynamic survivability analysis, the aircraft survivability and the probability of kill are calculated from the state probability for the situation during mission. The advantage of the analysis technique developed in this research includes ease of use and flexibility. In other words, in any given aircraft's mission execution under any variable probability density function, the developed computer program is able to analyze and evaluate the aircraft survivability.

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한글에서의 정성적 확률 표현의 정량적 변환 (A Conversion of Qualitative Probabilistic Expressions into Numerical Probabilities in Korean)

  • 박경수;신수환;이재인
    • 대한인간공학회지
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    • 제25권4호
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    • pp.41-49
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    • 2006
  • In a decision making process, the ambiguity of qualitative probabilistic expressions may result in a wrong conclusion. For this reason there had been many studies of quantifying qualitative probabilistic expressions in English-speaking countries. In this research, quantification of Korean qualitative probabilistic expressions is conducted through 4-step questionnaires. The numerical data of 78 verbal phrases were collected in the first questionnaire and classified in two categories (i.e., uncertainty and frequency). In each category, qualitative probabilistic expressions were divided into eleven groups according to the similarity of the numerical values. In the second questionnaire, subjects selected a representative expression for each group, which totaled 11. In the third questionnaire each subject was asked to rank eleven expressions from 1 to 11 with 1 indicating the highest probability. At last, subjects conducted pairwise comparisons to obtain relative weights, which are used to convert into the numerical probability scale.

계절별 저수지 유입량의 확률예측 (Probabilistic Forecasting of Seasonal Inflow to Reservoir)

  • 강재원
    • 한국환경과학회지
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    • 제22권8호
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    • pp.965-977
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    • 2013
  • Reliable long-term streamflow forecasting is invaluable for water resource planning and management which allocates water supply according to the demand of water users. It is necessary to get probabilistic forecasts to establish risk-based reservoir operation policies. Probabilistic forecasts may be useful for the users who assess and manage risks according to decision-making responding forecasting results. Probabilistic forecasting of seasonal inflow to Andong dam is performed and assessed using selected predictors from sea surface temperature and 500 hPa geopotential height data. Categorical probability forecast by Piechota's method and logistic regression analysis, and probability forecast by conditional probability density function are used to forecast seasonal inflow. Kernel density function is used in categorical probability forecast by Piechota's method and probability forecast by conditional probability density function. The results of categorical probability forecasts are assessed by Brier skill score. The assessment reveals that the categorical probability forecasts are better than the reference forecasts. The results of forecasts using conditional probability density function are assessed by qualitative approach and transformed categorical probability forecasts. The assessment of the forecasts which are transformed to categorical probability forecasts shows that the results of the forecasts by conditional probability density function are much better than those of the forecasts by Piechota's method and logistic regression analysis except for winter season data.

1/4 형 마스크에 대한 Banana Oil 밀착도 검사(QLFT)의 신뢰성 (Reliability on Banana Oil Qualitative Fit Test for Quarter Mask)

  • 한돈희;정윤석
    • 한국산업보건학회지
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    • 제9권2호
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    • pp.79-89
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    • 1999
  • A quantitative fit test, condensation nuclei counting (Portacount 8025, TSI), was performed concurrently with a banana oil (isoamyl acetate: IAA) qualitative fit test (MSA) to evaluate reliability on IAA QLFT and correlation between two methods. One brands of quarter mask (3M model 7500 medium) was prepared for QLFT with HEPA filter and gas & vapor removing media, i.e., combination cartridge. 110 subjects (65 male, 45 female) were fit tested QNFT and QLFT each three times. For a wearer combination having a FF<10, as determined by CNC QNFT, the point es timate (${\beta}$-error) of the probability of that combination not being rejected by the banana oil QLFT was found to be 0.0 with 95% confidence that this statistic is not expected to exceed 0.15. For a wearer combination having a FF<100, as determined by CNC QNFT, the point estimate of the probability of that combination not being rejected by the banana oil QLFT was found to be 0.07 with 95% confidence that this statistic is not expected to exceed 0.13. The uncertainty associated with each estimate, however, is large due to the small number of study subjects with inadequately fitting respirators.

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Determinants Influencing Tax Compliance: The Case of Vietnam

  • NGUYEN, Thi Thuy Du'o'ng;PHAM, Thi My Linh;LE, Thanh Tam;TRUONG, Thi Hoai Linh;TRAN, Manh Dung
    • The Journal of Asian Finance, Economics and Business
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    • 제7권2호
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    • pp.65-73
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    • 2020
  • The purpose of this paper is to ascertain the key factors affecting tax compliance among Vietnamese firms in Vietnam. We employ both qualitative and quantitative research methods. Qualitative research has been carried out through focus group discussions with ten chief accountants and tax officers. Quantitative research has been conducted through interviews with 200 firms (chief accountants or financial directors) in Vietnam. Analysis of the model includes the following stages: (i) Cronbach's test for reliability of the scale, (ii) exploratory factor analysis (EFA), (iii) confirmatory factor analysis (CFA), and (iv) structural equation model (SEM). The results of the research show that voluntary tax compliance is directly affected by the three factors of audit probability, corporate reputation and business ownership. The probability of audit and severity of sanctions have the strongest impact on tax compliance. Therefore, the tax authorities need to strengthen the inspection of tax declarations, tax payments and tax refunds of firms. The paper confirms that enforced tax compliance is directly affected by the three factors of audit probability, sanction severity and social norms. Voluntary compliance and compulsory compliance have an effect on tax compliance, though voluntary compliance has a more powerful impact.

수학교육에서 질적(Qualitative) 연구 방법 (Qualitative Research Method in Mathematics Education)

  • 이중권
    • 한국수학교육학회지시리즈A:수학교육
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    • 제42권2호
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    • pp.111-119
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    • 2003
  • This research discussed a general concept on the qualitative research methods in mathematics education. It provided a classification of research methods in mathematics education. It also described research trends in mathematics education. It addressed how research design facilitates formulating a research problem, selecting a research design, choosing who and what to study, deciding how to approach Participants, selecting means to collect data choosing how to analyzing data, and interpreting data and applying the analysis. This study addressed the issues involved in choosing relevant populations and in selecting and sampling qualitative data. It described how populations are conceptualized and distinguished between probability sampling and criterion based selection. It discussed not only data arrangement such as, cross-sectional and categorical indexing, non-cross- sectional data organization, but also diagram flow chart matrix, cognitive map, family tree to facilitate analyzing data.

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GERT Network의 감도분석(感度分析)에 관한 고찰(考察) (A Study on the Sensitivity Analysis of GERT Network)

  • 이상도;정중희;박기주
    • 대한산업공학회지
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    • 제9권2호
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    • pp.47-53
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    • 1983
  • In this paper, a sensitivity analysis is proceeded to improve the network of manufacturing process by converting the qualitative network into GERT Network and by finding equivalent probability, MFG's of variables and sensitivity equation in GERT Network. Sensitivity analysis of GERT Network is important in evaluating, reviewing and improving system. System improvement in GERT Network is achieved by increasing the equivalent probability and by decreasing the equivalent time.

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가능성분포함수를 이용한 계층적 품질구조를 가진 제품의 만족도 평가 (An Evaluation on the Degrees of Satisfaction of Product with Hierarchical Quality Structure Using Possibility Distribution Function)

  • 김정만
    • 산업경영시스템학회지
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    • 제21권46호
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    • pp.173-180
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    • 1998
  • In conventional probability-based quality evaluation of products with qualitative characteristics, many factors that affect the evaluation are not easily represented quantitatively, because the relation between reliability of human evaluator and each of these factors is not clear. In order to evaluate the quality of product with qualitative characteristics quantitatively, in this paper, the relation is represented as the shape of possibility distribution function of fuzzy set on the interval [0,1]. Furthermore, fuzzy reasoning is used to obtain the estimates of quality characteristics. And, it is supposed that many quality characteristics affected by the above factors are connected with the final characteristic through hierarchical structures. Finally, using the estimates gained from the final evaluation, qualitative characteristics are evaluated by use of concept of pattern recognition.

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