• Title/Summary/Keyword: statistics

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Comparison of Efficiency of Learning Descriptive Statistics with Computer Software (소프트웨어를 이용한 기술통계 교육의 효과 비교)

  • 송필원
    • Journal of the Korean School Mathematics Society
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    • v.6 no.1
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    • pp.45-63
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    • 2003
  • This study is a research about the effect on achievement, retention and attitude of learning descriptive statistics with the computer software. For this study, 60 students are randomly divided two groups, one is an experimental group using software, the other one is a control group using lecture type of learning statistics. For the analysis, both groups are divided three subgroups according to mathematical ability. Also the topic "descriptive statistics" is divided by 5 subtopics. The test is divided three parts(computation, concept and application) according to knowledge type. The attitude toward statistics is investgated with questionaire and interview with both groups. The achievement test is taken after 8 class periods. The retention test were administered together six weeks after achievement test. The experimental group achieved significantly better than in concept type while the control group performed significantly better than the experimental group in computation type. With respect to the attitude toward statistics, lower ability students may have been negatively affected by the use of software.

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A Study on the History of Statistics

  • Jo, Jae-Keun
    • Communications for Statistical Applications and Methods
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    • v.10 no.3
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    • pp.805-823
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    • 2003
  • The development of probability and statistics has been treated in the works of scholars for decades. In this paper, researches on the history of statistics are classified into four categories: philosophy of science, mathematical statistics, social science and sociology of science. Four categories are presented and histories classified into categories are reviewed briefly. Considered are works by Ian Hacking (1975, 1990), Lorrain Daston (988), Anders Hald (1990, 1998), Stephen Stigler (1986), Ted Porter (1986) and Donald MacKenzie (1981). These works are classified by the author's main interests. From such a diversity in the study of its history, we can see many faces of statistics and unique features of statistics.

Adaptive M-estimation in Regression Model

  • Han, Sang-Moon
    • Communications for Statistical Applications and Methods
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    • v.10 no.3
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    • pp.859-871
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    • 2003
  • In this paper we introduce some adaptive M-estimators using selector statistics to estimate the slope of regression model under the symmetric and continuous underlying error distributions. This selector statistics is based on the residuals after the preliminary fit L$_1$ (least absolute estimator) and the idea of Hogg(1983) and Hogg et. al. (1988) who used averages of some order statistics to discriminate underlying symmetric distributions in the location model. If we use L$_1$ as a preliminary fit to get residuals, we find the asymptotic distribution of sample quantiles of residual are slightly different from that of sample quantiles in the location model. If we use the functions of sample quantiles of residuals as selector statistics, we find the suitable quantile points of residual based on maximizing the asymptotic distance index to discriminate distributions under consideration. In Monte Carlo study, this adaptive M-estimation method using selector statistics works pretty good in wide range of underlying error distributions.

Effects of a GAISE-based teaching method on students' learning in introductory statistics

  • Erhardt, Erik Barry;Lim, Woong
    • Communications for Statistical Applications and Methods
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    • v.27 no.3
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    • pp.269-284
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    • 2020
  • This study compares two teaching methods in an introductory statistics course at a large state university. The first method is the traditional lecture-based approach. The second method implements a flipped classroom that incorporates the recommendations of the American Statistical Association's Guidelines for Assessment and Instruction in Statistics Education (GAISE) College Report. We compare these two methods, based on student performance, illustrate the procedures of the flipped pedagogy, and discuss the impact of aligning our course to current guidelines for teaching statistics at the college level. Results show that students in the flipped class performed better than students in traditional delivery. Student questionnaire responses also indicate that students in flipped delivery aligned with the GAISE recommendations have built a productive mindset in statistics.

Simultaneous Unit Roots Tests for Both Regular and Seasonal Unit Roots

  • Sinsup Cho;Jeong Hyeong Lee;Young Jin Park;Heon Jin Park
    • Communications for Statistical Applications and Methods
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    • v.4 no.3
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    • pp.663-676
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    • 1997
  • We obtain the simultaneous unit roots test statistics for both regular and seasonal unit roots in a time series with possible seasonal deterministic trends. The limiting distributions of the proposed test statistics are derived and empirical percentiles of the test statistics are tabulated for some seasonal periods. The power and size of the test statistics are examined for finite samples through a Monte Carlo simulation and Compared with those of the Lagrange multiplier test.

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Challenges Faced by a Mathematically Strong Student Intransferring his Success in Mathematics to Statistics: A Case Study

  • Kim, Hyung Won;Fukawa-Connelly, Tim
    • The Mathematical Education
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    • v.54 no.3
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    • pp.223-240
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    • 2015
  • This study qualitatively investigates the nature of the challenges that a student who is highly successful in mathematics faces in learning college-level elementary statistics. The study draws on the constructs of eagerness, flexibility and willingness to characterize the necessary disposition for critical thinking that is essential in learning statistics. The case study is based on data collected through a survey assessment and a follow-up interview with a mathematics major enrolled in an elementary college statistics course at the time of the study. The qualitative analysis relies on the student's verbal descriptions of the challenges he was experiencing in the course. The findings suggest that while his strong inclination towards inquisitive learning and strong understanding of mathematical concepts supported this student's mathematics learning, the same characteristics might have been causing him difficulties in learning college-level elementary statistics.

Goodness of Fit Test of Normality Based on Kullback-Leibler Information

  • Kim, Jong-Tae;Lee, Woo-Dong;Ko, Jung-Hwan;Yoon, Yong-Hwa;Kang, Sang-Gil
    • Communications for Statistical Applications and Methods
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    • v.6 no.3
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    • pp.909-918
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    • 1999
  • Arizono and Ohta(1989) studied goodness of fit test of normality using the entropy estimator proposed by Vasicek (1976) Recently van Es(1992) and Correa(1995) proposed an estimator of entropy. In this paper we propose goodness of fit test statistics for normality based on Vasicek ven Es and Correa. And we compare the power of the proposed test statistics with Kolmogorov-Smirnov Kuiper Cramer von Mises Watson Anderson-Darling and Finkelstein and Schefer statistics.

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Theoretical statistics education using mathematical softwares (이론통계학 교육에서 수학 소프트웨어의 활용)

  • Lee, Geung-Hee
    • The Korean Journal of Applied Statistics
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    • v.32 no.4
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    • pp.485-502
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    • 2019
  • Theoretical statistics is a calculus based course. However, there are limitations to learn theoretical statistics when students do not know enough calculus techniques. Mathematical softwares (computer algebra systems) that enable calculus manipulations help students understand statistical concepts, by avoiding the difficulties of calculus. In this paper, we introduce mathematical software such as Maxima and Wolfram Alpha. To foster statistical concepts in theoretical statistics education, we present three examples that consist of mathematical derivations using wxMaxima and statistical simulations using R.

Graphical Study on the Entropy of Order Statistics

  • Park, Sang-Un
    • Communications for Statistical Applications and Methods
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    • v.5 no.2
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    • pp.307-313
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    • 1998
  • The entropy measure is considered to denote the uncertainty of order statistics filters and choose the length of consecutive order statistic filters. However, it needs much calculations to get the amount of the entropy of all possible sets of consecutive order statistics, and the results of those calculations return many numerical values. Thus we provide an efficient graphical presentation of those numerical values, which make it easy to understand the distribution of the entropy among order statistics.

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Discussion : Statistics toward Information Sciences (토론 : 정보 관련 통계학과의 방향)

  • 박노진
    • The Korean Journal of Applied Statistics
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    • v.12 no.2
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    • pp.717-719
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    • 1999
  • A lot of the departments of statistics the Korean universities have changed their departmental names into those related with information sciences. The department of statistics in Taejon University also changed its departmental name, since industries are demanding the statisticians with knowledges about information sciences. The curriculum of the department was reorganized as the graduates can immediately satisfy the demand of future parment was reorganized as the graduates can immediately satisfy the demand of future employers. However, we believe that these should be some departments of statistics devoting to teach high level of statistical theories and to do researches on statistical theories.

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