• Communications for Statistical Applications and Methods
• /
• 제10권3호
• /
• pp.805-823
• /
• 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.

• Communications for Statistical Applications and Methods
• /
• 제10권3호
• /
• pp.859-871
• /
• 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.

• Communications for Statistical Applications and Methods
• /
• 제27권3호
• /
• pp.269-284
• /
• 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.

• Communications for Statistical Applications and Methods
• /
• 제4권3호
• /
• pp.663-676
• /
• 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.

• 한국수학교육학회지시리즈A:수학교육
• /
• 제54권3호
• /
• pp.223-240
• /
• 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.

• Communications for Statistical Applications and Methods
• /
• 제6권3호
• /
• pp.909-918
• /
• 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.

• 응용통계연구
• /
• 제32권4호
• /
• pp.485-502
• /
• 2019

이론통계학은 통계학의 원리를 수학을 이용하여 배우는 교과목이다. 학생들이 수학을 충분히 알지 못하는 경우 이론통계학 교육을 통해 통계학의 원리를 이해하는 데에는 제약이 있다. 이론통계학 교육을 통해 통계학의 원리에 대한 이해를 높이기 위해 수학적 문제풀이 외에 R 프로그램을 이용한 통계 시뮬레이션이 보조적으로 도입되어 왔지만 수학을 이용한 문제풀이를 대신하지는 못하고 있다. 이 논문에서는 wxMaxima, Wolfram Alpha 등 기호 수학 연산이 가능한 수학 소프트웨어 CAS를 소개하고, 이를 이용하여 이론통계학 교육에 걸림돌이 되는 수학의 어려움에서 벗어나 통계학의 원리 자체를 학습할 수 있는 방안을 모색하였다.

• Communications for Statistical Applications and Methods
• /
• 제5권2호
• /
• pp.307-313
• /
• 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.

• 응용통계연구
• /
• 제12권2호
• /
• pp.717-719
• /
• 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.

• Journal of the Korean Data and Information Science Society
• /
• 제17권2호
• /
• pp.449-453
• /
• 2006

In teaching statistics in the secondary school, most math teachers do it and students enjoy it well before 11th grade. But, both of teachers and students feel statistics hard at 11th grade, which has been contained permutations, combinations, random variables, probability distributions, hypotheses and tests for normal distribution. In this study, we explore the efficient teaching methods of statistics for math teachers and also find many students enjoying it.