• Title/Summary/Keyword: informal inference

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Study on the Levels of Informal Statistical Inference of the Middle and High School Students (중·고등학생들의 비형식적 통계적 추리의 수준 연구)

  • Lee, Jung Yeon;Lee, Kyeong Hwa
    • School Mathematics
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    • v.19 no.3
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    • pp.533-551
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    • 2017
  • The statistical education researchers advise instructors to educate informal statistical inference and they are paying close attention to the progress of the statistical inference in general. This study was conducted by analyzing the levels and the traits of each levels of the informal statistical inference of the middle and high school students for comparing the samples of data and estimating the graph of a population. Research has shown that five levels of the informal statistical inference were identified for comparing the samples of data: responses that are distracted or misled by an irrelevant aspect, responses that focus on frequencies of individual data points and hold a local view of the sample data sets, responses that the student's view of the data is transitioning from local to global, responses that hold a global view but do not clearly integrate multiple aspects of the distribution, and responses that integrate multiple aspects of the distribution. Another five levels of the informal statistical inference were identified for estimating the graph of a population: responses that are distracted or misled by an irrelevant aspect, responses that focus only on representativeness, responses that consider both representativeness and variability and focus on one particular aspect of the distribution, responses that focus on multiple aspects of distribution but do not clearly integrate them, and responses that integrate multiple aspects of the distribution.

A Study on Formation of Oriental Medicine Theory based on Analogical Inference (유비추리(類比推理)를 통해 본 한의학(韓醫學) 이론구성(理論構成)의 과정)

  • Baik, You-Sang;Jung, Woo-Jin
    • Journal of Korean Medical classics
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    • v.19 no.4
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    • pp.202-211
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    • 2006
  • From the study on A Study on A Study on Formation of Oriental Medicine Theory based on Analogical Inference, the conclusion is as follows. Analogical inference belonging to informal logic has very important point that it makes new knowledges of unknown field from basis of common knowledge field. The form of Analogical Inference is "A: a-B: (b)", In "Naegyeong(內經)", models of analogy are classified into two types. One is that of analogical inference making new knowledges in company with effects of Heung-gi(興起), Another is to unite common knowledges, While the example of analogy between military science and medicine belongs to type of the former, example of bureaucracy and medicine belongs to type of the latter, that based on rearrangement of common knowledge. Two type have similar system of national government or military management in basis. In such process of analogical inference, we expect that new knowledges of Oriental Medicine would be accumulated in the future, in the same way of the past.

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Teaching and learning about informal statistical inference using sampling simulation : A cultural-historical activity theory analysis (표집 시뮬레이션을 활용한 비형식적 통계적 추리의 교수-학습: 문화-역사적 활동이론의 관점에 따른 분석)

  • Seo Minju;Seo Yumin;Jung Hye-­Yun;Lee Kyeong-­Hwa
    • Journal of the Korean School Mathematics Society
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    • v.26 no.1
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    • pp.21-47
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    • 2023
  • This study examines the activity system of teaching and learning about informal statistical inference using sampling simulation, based on cultural-historical activity theory. The research explores what contradictions arise in the activity system and how the system changes as a result of these contradictions. The participants were 20 elementary school students in the 5th to 6th grades who received classes on informal statistical inference using sampling simulations. Thematic analysis was used to analyze the data. The findings show that a contradiction emerged between the rule and the object, as well as between the mediating artifact and the object. It was confirmed that visualization of empirical sampling distribution was introduced as a new artifact while resolving these contradictions. In addition, contradictions arose between the subject and the rule and between the rule and the mediating artifact. It was confirmed that an algorithm to calculate the mean of the sample means was introduced as a new rule while resolving these contradictions.

Designing an Assessment to Measure Students' Inferential Reasoning in Statistics: The First Study, Development of a Test Blueprint

  • Park, Jiyoon
    • Research in Mathematical Education
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    • v.17 no.4
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    • pp.243-266
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    • 2013
  • Accompanied with ongoing calls for reform in statistics curriculum, mathematics and statistics teachers purposefully have been reconsidering the curriculum and the content taught in statistics classes. Changes made are centered around statistical inference since teachers recognize that students struggle with understanding the ideas and concepts used in statistical reasoning. Despite the efforts to change the curriculum, studies are sparse on the topic of characterizing student learning and understanding of statistical inference. Moreover, there are no tools to evaluate students' statistical reasoning in a coherent way. In response to the need for a research instrument, in a series of research study, the researcher developed a reliable and valid measure to assess students' inferential reasoning in statistics (IRS). This paper describes processes of test blueprint development that has been conducted from review of the literature and expert reviews.

Information Granulation-based Fuzzy Inference Systems by Means of Genetic Optimization and Polynomial Fuzzy Inference Method

  • Park Keon-Jun;Lee Young-Il;Oh Sung-Kwun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.5 no.3
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    • pp.253-258
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    • 2005
  • In this study, we introduce a new category of fuzzy inference systems based on information granulation to carry out the model identification of complex and nonlinear systems. Informal speaking, information granules are viewed as linked collections of objects (data, in particular) drawn together by the criteria of proximity, similarity, or functionality. To identify the structure of fuzzy rules we use genetic algorithms (GAs). Granulation of information with the aid of Hard C-Means (HCM) clustering algorithm help determine the initial parameters of fuzzy model such as the initial apexes of the membership functions and the initial values of polynomial functions being used in the premise and consequence part of the fuzzy rules. And the initial parameters are tuned effectively with the aid of the genetic algorithms and the least square method (LSM). The proposed model is contrasted with the performance of the conventional fuzzy models in the literature.

Optimal Design of Fuzzy Relation-based Fuzzy Inference Systems Based on Evolutionary Information Granulation (진화론적 정보 입자에 기반한 퍼지 관계 기반 퍼지 추론 시스템의 최적 설계)

  • Park, Keon-Jun;Kim, Hyun-Ki;Oh, Sung-Kwun
    • Proceedings of the KIEE Conference
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    • 2004.11c
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    • pp.340-342
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    • 2004
  • In this paper, we introduce a new category of fuzzy inference systems baled on information granulation to carry out the model identification of complex and nonlinear systems. Informal speaking, information granules are viewed as linked collections of objects(data, in particular) drawn together by the criteria of proximity, similarity, or functionality. Granulation of information with the aid of Hard C-Means(HCM) clustering algorithm help determine the initial parameters of fuzzy model such as the initial apexes of the membership functions and the initial values of polyminial functions being used in the premise and consequence part of the fuzzy rules. And the initial parameters are tuned effectively with the aid of the genetic algorithms(GAs) and the least square method. The proposed model is contrasted with the performance of the conventional fuzzy models in the literature.

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Statistical Literacy of Fifth and Sixth Graders in Elementary School about the Beginning Inference from a Pictograph Task ('그림그래프에서 추론하기' 과제에서 나타나는 초등학교 5, 6학년 학생들의 통계적 소양)

  • Moon, Eunhye;Lee, Kwangho
    • Education of Primary School Mathematics
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    • v.22 no.3
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    • pp.149-166
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    • 2019
  • The purpose of this study is to analyze the statistical literacy in elementary school students when they beginning inference. Picto-graphs provide statistical information and often data-related arguments they certainly qualify as objects for interpretation, for critical evaluation, and for discussion or communication of the conclusions presented. For research, the inference from pictograph task was designed and statistical literacy standards for evaluating the student's level was presented based on prior studies. Evaluating student's statistical literacy is meaningful in that it can check their current level. To know the student's current level can help them achieve a higher level of performance. The outcomes of this research indicate that pictograph can provide a basis for rich tasks displaying not only student's counting skills but also their appreciation of variation and uncertainty in prediction. Raising statistical thinking by students is an important goal in statistical education, and the experience of informal statistical reasoning can help with formal statistical reasoning that will be learned later. Therefore, the task about the inference from a pictograph, discussions on statistical learning of elementary school children are expected to present meaningful implications for statistical education.

Middle School Students' Statistical Inference Engaged in Comparing Data Sets (자료집합 비교 활동에서 나타나는 중학교 학생들의 통계적 추리(statistical inference)에 대한 연구)

  • Park, Min-Sun;Park, Mi-Mi;Lee, Kyeong-Hwa;Ko, Eun-Sung
    • School Mathematics
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    • v.13 no.4
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    • pp.599-614
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    • 2011
  • According to prior research studies, comparison of two data sets promote informal and formal statistical reasoning, which may mediate descriptive and inferential statistics. However, there has been relatively little attention given to the mediation of both descriptive and inferential statistics. We attempted to identify which statistical concepts or factors students used and how they applied concepts or factors to make decisions when they compared data sets. We also investigated the characteristics and changes of the view of concepts and factors. As a result, we identified that students paid attention to data value, center, spread, and sample, which are important factors of inferential statistics. Students' understanding of each factors were sometimes appropriate for inferential statistics, but sometimes not. From the results, we suggest instructional ideas for a task which can connect descriptive and inferential statistics.

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Clinical Decision Support System for Identification of Anaerobe (혐기성 동정을 위한 임상의사결정 지원시스템 개발)

  • Shin Yong-Won
    • The Journal of the Korea Contents Association
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    • v.5 no.6
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    • pp.20-30
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    • 2005
  • In the anaerobe identification, when we develop the clinical decision support system for department of laboratory medicine, we must consider expression of an incomplete knowledge structure and addition of an evolving knowledge based on an expert's informal and heuristic knowledge is very complicated work flow. In the present study, we developed the system for anaerobe identification to advise on identification of unknown bacillus using knowledge base and inference engine. In the future, we are planning to develop the clinical decision support system for the whole bacteria not only an anaerobe but also aerobe to offer an expert's static and dynamic knowledge.

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Inference of the Conceptual Model of Wild Gardens - A Comparative Study of William Robinson and Gertrude Jekyll - (와일드 가든(Wild Garden)의 개념적 모형 유추 - 윌리암 로빈슨(William Robinson)과 거투르드 제킬(Gertrude Jekyll)의 비교 연구 -)

  • Park, Eun-Yeong;Yoon, Sang-Jun
    • Journal of the Korean Institute of Traditional Landscape Architecture
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    • v.31 no.4
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    • pp.62-69
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    • 2013
  • The origin of natural planting, which is getting the spotlight in modern time facing natural and environmental problems, can be found from wild gardens. They were started by William Robinson and concretely embodied by Gertrude Jekyll. It is worth shedding new light on wild gardens, as they served as a pathbreaker for ecological design and an important foundation for the specialization of naturalism, which are part of the most important topics in modern gardens. This study aimed to infer the conceptual model of wild gardens and identify their historic significance by comparatively analyzing Robinson's Gravetye Manor and Jekyll's Munstead Wood. The results are: Firstly, they inherited inspirations for spatial organization from basic cottage gardens and introduced informal forms. Secondly, in terms of the use of materials, they had observed various climates in their journeys so that they could use both native and naturalized plants based on their understanding of the plants' hardiness and exotic species. They also displayed interests in plants in the woodlands and forests. Thirdly, in terms of design techniques, they investigated the colors and textures of individual plants and their relationships to produce a variety of views that resembled nature in microcosm. Fourthly, in terms of maintenance, their basic orientation was the minimum maintenance to allow plants to live according to their nature.