• 제목/요약/키워드: measure of central tendency

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중학교 3학년 수학교과서 통계단원에 나타난 요약개념 분석 (A summary-concept based analysis on the representative values and the measures of spread with the 9th grade Korean mathematics textbook)

  • 이영하;이은희
    • 한국수학교육학회지시리즈A:수학교육
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    • 제50권4호
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    • pp.489-505
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    • 2011
  • This study is an analysis on the focus of textbooks regarding the statistical chapters of "measures of representative(central tendency) and of the spread". Applying the summary-concept criteria of Juhyeon Nam(2007), 4 kinds of aspect of the chapter; (1) definition and its teleological validity of the measures of representative, (2) definition and practical value of the measures of spread (3) distributional form on the measures of representative and of spread (4) location and scale preservation or invariance of the measures of representative and of spread were observed. On the measures of representative, some definitions were insufficient to check the teleological validity of the measure. Most definitions of the measure of spread were based on the practical view points but no preparation for the future statistical inferences were found even by implication. Some books mention about the measures of representative and of spread for distributions, but we could not find any comments on the correspondence between the sample mean and the expectation of a distribution or population mean. However it is stimulant that some books check the validity of corresponding measures with the location and scale preservation or invariant property, that were not found in the previous curriculum.

한국인 여성 상악중절치의 근관면적비에 관한 연구 (A Study on Root Canal Index of the Maxillary Central Incisorsin Korean Female)

  • 김영구
    • Journal of Oral Medicine and Pain
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    • 제6권1호
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    • pp.15-18
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    • 1981
  • The author had selected the roots and root-canal as measurable parts and sought the area ratio by measuring the respective areas of the root. Further, heplotted out a root caual index and studied the correlation with age. The teeth used as reserch material were permanent maxillary central incisors of Korean female. Some 296 teeth of known age were selected on condition that there is no caries or filling material and that they were not malformed in showing normal signs in roentgenograms. The $3" {\times} 4"$ printing paper so as to measure easily. On the ocassion of measureing the area of measured parts with a planimeter (Koizumi, type kp-27, Japan), the cervical lines were joined up into a straight line on a photograph (Figure 1) Root canal index = Area of the root / Area of the root canal The results of the root canal index in Korean female age groups were as follows : 1. The root canal index of maxilary central incisor in women was 4.74 im 20 years of age, 5.44 in 30, 5.90 in 40, 6.32 in 50, 6.63 in 60 in the order. 2. Root canal index and age were in positive correlation ; there was a tendency that the root canal index increase as age advances. 3. The regression equation was as follows : Y = 5.36x + 7.71 (r = 0.54, n= 296 ) (Y = estimated age, x = root canal index)

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ex-Gaussian 모형을 활용한 인지적 과제의 반응시간 분포 분석 (The ex-Gaussian analysis of reaction time distributions for cognitive experiments)

  • 박형범;현주석
    • 감성과학
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    • 제17권2호
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    • pp.63-76
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    • 2014
  • 대부분의 인지적 과제에서 관찰되는 반응시간 자료의 분포는 정적으로 편포되어 나타남에도 불구하고, 반응시간을 종속측정치로 하는 대다수의 연구들은 표본 평균에 근거한 집중경향치 분석에 의존한다. 본 연구에서는 반응시간 자료의 분포특성에 분석의 초점을 맞추어 실험적 처치의 효과를 구체적으로 추론하는 방법을 소개하였다. 평균 반응시간의 변화는 그 분포상 가우시안 및 지수 분포가 혼합된 형태로 나타난다고 가정할 수 있으며, 최대우도 추정법에 근거한 ex-Gaussian 모형 검증을 통해 반응시간 분포 특성을 수치화된 파라미터로 산출하고 확률밀도함수를 구현할 수 있다. 분석 사례를 위해 두 가지 고전적 시각탐색과제에서 얻어진 반응시간 자료를 사용하였으며, ex-Gaussian 함수를 통해 탐색배열의 항목개수의 증가가 초래하는 평균 반응시간의 지연효과에 대한 해석을 시도하였다. 수리적 모형을 통한 반응시간 분포 분석은 고전적 집중경향치 분석의 한계를 넘어 반응시간을 활용한 다양한 이론 및 개인차 연구에서 활용될 수 있을 것으로 기대된다.

Analysis of Statistical Methods Currently used in Toxicology Journals

  • Na, Jihye;Yang, Hyeri;Bae, SeungJin;Lim, Kyung-Min
    • Toxicological Research
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    • 제30권3호
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    • pp.185-191
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    • 2014
  • Statistical methods are frequently used in toxicology, yet it is not clear whether the methods employed by the studies are used consistently and conducted based on sound statistical grounds. The purpose of this paper is to describe statistical methods used in top toxicology journals. More specifically, we sampled 30 papers published in 2014 from Toxicology and Applied Pharmacology, Archives of Toxicology, and Toxicological Science and described methodologies used to provide descriptive and inferential statistics. One hundred thirteen endpoints were observed in those 30 papers, and most studies had sample size less than 10, with the median and the mode being 6 and 3 & 6, respectively. Mean (105/113, 93%) was dominantly used to measure central tendency, and standard error of the mean (64/113, 57%) and standard deviation (39/113, 34%) were used to measure dispersion, while few studies provide justifications regarding why the methods being selected. Inferential statistics were frequently conducted (93/113, 82%), with one-way ANOVA being most popular (52/93, 56%), yet few studies conducted either normality or equal variance test. These results suggest that more consistent and appropriate use of statistical method is necessary which may enhance the role of toxicology in public health.

Appropriate identification of optimum number of hidden states for identification of extreme rainfall using Hidden Markov Model: Case study in Colombo, Sri Lanka

  • Chandrasekara, S.S.K.;Kwon, Hyun-Han
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2019년도 학술발표회
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    • pp.390-390
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    • 2019
  • Application of Hidden Markov Model (HMM) to the hydrological time series would be an innovative way to identify extreme rainfall events in a series. Even though the optimum number of hidden states can be identify based on maximizing the log-likelihood or minimizing Bayesian information criterion. However, occasionally value for the log-likelihood keep increasing with the state which gives false identification of the optimum hidden state. Therefore, this study attempts to identify optimum number of hidden states for Colombo station, Sri Lanka as fundamental approach to identify frequency and percentage of extreme rainfall events for the station. Colombo station consisted of daily rainfall values between 1961 and 2015. The representative station is located at the wet zone of Sri Lanka where the major rainfall season falls on May to September. Therefore, HMM was ran for the season of May to September between 1961 and 2015. Results showed more or less similar log-likelihood which could be identified as maximum for states between 4 to 7. Therefore, measure of central tendency (i.e. mean, median, mode, standard deviation, variance and auto-correlation) for observed and simulated daily rainfall series was carried to each state to identify optimum state which could give statistically compatible results. Further, the method was applied for the second major rainfall season (i.e. October to February) for the same station as a comparison.

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Determining Osteogenic Differentiation Efficacy of Pluripotent Stem Cells by Telomerase Activity

  • Zhang, Siqi;Sun, Yuhua;Sui, Yi;Li, Yan;Luo, Zuyuan;Xu, Xiao;Zhou, Ping;Wei, Shicheng
    • Tissue Engineering and Regenerative Medicine
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    • 제15권6호
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    • pp.751-760
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    • 2018
  • BACKGROUND: Bone tissue engineering based on pluripotent stem cells (PSCs) is a new approach to deal with bone defects. Protocols have been developed to generate osteoblasts from PSCs. However, the low efficiency of this process is still an important issue that needs to be resolved. Many studies have aimed to improve efficiency, but developing accurate methods to determine efficacy is also critical. Studies using pluripotency to estimate efficacy are rare. Telomerase is highly associated with pluripotency. METHODS: We have described a quantitative method to measure telomerase activity, telomeric repeat elongation assay based on quartz crystal microbalance (QCM). To investigate whether this method could be used to determine the efficiency of in vitro osteogenic differentiation based on pluripotency, we measured the pluripotency pattern of cultures through stemness gene expression, proliferation ability and telomerase activity, measured by QCM. RESULTS: We showed that the pluripotency pattern determined by QCM was similar to the patterns of proliferation ability and gene expression, which showed a slight upregulation at the late stages, within the context of the general downregulation tendency during differentiation. Additionally, a comprehensive gene expression pattern covering nearly every stage of differentiation was identified. CONCLUSION: Therefore, this assay may be powerful tools for determining the efficiency of differentiation systems based on pluripotency. In this study, we not only introduce a new method for determining efficiency based on pluripotency, but also provide more information about the characteristics of osteogenic differentiation which help facilitate future development of more efficient protocols.

출토복식을 통해서 본 조선시대 남자 편복포의 시대구분 (The Periodization of Men's Coat(Peonbokpo) of the Joseon Dynasty Based On Excavated Costumes)

  • 홍나영
    • 복식
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    • 제58권5호
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    • pp.118-133
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    • 2008
  • The basic costumes of the joseon dynasty such as pants and jackets were not particularly distinctive over the period in comparison to po. The coat that was worn over pants and jacket, however, had different forms in the course of the joseon dynasty. In this paper, I will analyze the changing style of pyeonbokpo, the daily costumes of Joseon man, which were excavated in recent years. Changes in the collar style were the most distinctive of joseon pyeonbokpo such as cheolik, dapho, aekjueum, jikryeong, daechangyeui, jungchimak, and juyeui. Although pyeonbokpo had double collars in the early joseon dynasty, they disappeared in the seventeenth century: a straight line also replaced by a curve for the collar perimeter. Front-adjusting of pyeonbokpo was very deep in the early joseon dynasty; front-adjusting became simple in the late joseon dynasty, resulting in the central positioning of a ribbon. The rectangular form of a gusset(mu) was stitched to the bodice through various pleats. Gusset patterns changed greatly into various forms in the seventeenth and eighteenth centuries, along with the ladder gusset form. The long vest(dapho) was half-sleeved and had a deep front adjustment in the early joseon dynasty; however, it did not have collars and sleeves since the eighteenth century. The waist line of cheolik had the ratio of 1.2 to 1 for the bodice to skirt. But the length of skirts grew gradually into the ratios of 1 to 1, 1 to 2, and 1 to 3.8 while the waist line moved upwards to the chest line. Sleeves of all po had a straight form but they gradually developed the tendency to widen towards the wrists. Later, sleeves changed again, having a wide rectangular form starting from the armpits. Cheolik was widely worn in the early joseon dynasty; however, it was worn less in later years. Instead, clothes that had slits such as dopo, daechangeui, and jungchimak were greatly available. These characteristics of the change in men's costumes enable us to measure the time period of excavated findings despite the lack of records for Joseon graves.

건강한 지원자에 있어서 염산테르비나핀 함유 라미실정과 무조날정의 약물동력학적 비교 (Pharmacokinetic Comparison of Lamisil Tablet and Muzonal Tablet Containing Terbinafine HCl in Healthy Volunteers)

  • 최한곤;용철순;이종달;우종수;이경희;유봉규
    • 약학회지
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    • 제49권4호
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    • pp.255-259
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    • 2005
  • Financial standing of National Health Insurance has been experiencing a grave deterioration during the last 4-5 years, and the yearly amount paid by the insurance for drug expense rose up to 4 trillion won recently. Furthermore, the ratio of drug expenses in the total expenditure of the insurance reached about $25\%$, showing the tendency to be levelled off. As a measure to improve the financial deterioration of the insurance and to encourage generic substitution among the health professionals, we compared pharmacokinetic parameters of brand name drug (Lamisil) and generic drug (Muzonal) containing terbinafine HCl in healthy volunteers. The area under the curve (AUC) of the two drugs showed $2220.4\pm784.7\;and\;2143.1\pm861.6hr{\cdot}ng/ml$ in the corresponding order and no statistically significant difference was identified. The peak concentration $(C_{max})$ of the generic drug demonstrated $566.6\pm246.2 ng/ml$ compared to $550.8\pm204.0$ of brand name drug, which was not significantly different either. Time to reach peak concentration showed about 6 minutes difference between the drugs, which has no clinical significance to the treatment of dermatomycosis and dermatophytosis.

부식시간이 소의 법랑질 부식깊이와 교정용 레진의 전단결합강도에 미치는 영향 (EFFECTS OF VARIOUS ETCHING TIMES ON DEPTH OF ETCH AND SHEAR BOND STRENGTH OF AN ORTHODONTIC RESIN TO BOVINE ENAMEL)

  • 김정훈;이기수;박영국
    • 대한치과교정학회지
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    • 제23권1호
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    • pp.75-88
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    • 1993
  • Recent reports indicate that shorter etching times than 60 seconds can be adopted without affecting the bond strength and clinical disadvantages. The purpose of this in vitro study was to compare the shear bone strength and to measure depth of etch at different etching time length. One hundred and eight extracted bovine lower central incisors were embedded each in a tooth cup with cold-cure acrylic resin. The facial surfaces of the teeth were ground wet with 600-, 800-, 1000-, and 1200-grit Sic papers, and finally polished with a water slurry of extrafine silicon carbide powder, washed with tap water, and dried with hot air. Nine groups of nine prepared teeth were etched with a commercial($38\%$ phosphoric acid solution) for 0, 5, 10, 15, 20, 30, 60, 90, and 120 seconds, respectively, rinsed with tap water, and dried with hot air. One conditioned teeth from every group was selected randomly for the scanning electron microscopic examination, and the remaining eight teeth of the groups were used for measuring the push shear bond strength after bonding brackets and immensing them in the $36.5^{\circ}C$ water for 24 hours. Another nine groups of three teeth were used for measuring the depth of etch and surface roughness with a surface profilometer. after pieces of adhesive tape of 3mm inner diameter positioned on the ground enamel surfaces, and etched with the above mentioned. The data obtained form the above expeiments were analysed statistically with one way ANOVA and Dunkan's multiple range test with the $95\%$ confidence level. The results and conclusion of the study were as follows; 1. The results of shear bond strength for the given experimental etching times were not statistically different, but showed the tendency of decreasing shear bone strength after over 60 seconds etching times. 2. On the scanning election microscopic examination, it was observed that the morphological patterns of etched enamel surface for 5 to 20 seconds were similar and consitent, and those for 30 to 120 seconds showed increasing over-etched patterns depending on the length of etching times. 3. The depth of etch was increased almost proportionally by the length of etching times, but it was not associated with the shear bond strength. 4. The surface roughness increased depending on the length of etching times, but it was not associated with the shear bond strength. 5. This experiment indicated that proper etching time with $38\%$ phosphoric acid solution is in the range of 5 to 30 seconds.

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인공위성 해수면온도 3-D 최적 내삽 합성장 생산 방법과 한계점 (A Methodology for 3-D Optimally-Interpolated Satellite Sea Surface Temperature Field and Limitation)

  • 박경애;김영호
    • 한국지구과학회지
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    • 제30권2호
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    • pp.223-233
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    • 2009
  • AQUA/AMSR-E 인공위성 자료를 활용하여 3차원 최적내삽 해수면온도 합성장을 생산하였고 시간평균장과 비교하여 문제점과 한계점을 기술하였다. 3-D SST 합성장은 북태평양 중앙부에서 전체적으로 $0.05^{\circ}C$ 이하의 작은 오차를 보였으나, 위성 결측이 있는 연안에서는 $0.4^{\circ}C$ 이상의 비교적 큰 오차를 유발하였다. 강한 강수나 구름으로 인한 결측이 있는 부분에서는 $0.1-0.15^{\circ}C$에 달하는 오차를 보였다. 시간평균장과 비교한 결과, 구름 부근의 화소에서는 해수면온도를 낮게 계산하는 경향이 있었으며, 해수면온도의 공간적 구배를 감소시키는 평활화가 전체적으로 나타났다. 적도 부근 저위도에서 OI SST는 실제 해수면온도에는 없는 불연속성을 만드는 경향이 있었고, 이는 OI 과정에서 사용한 윈도우의 크기와 해양 현상의 수평 규모가 위도에 따라 변화하는데서 기인하였다. 현상의 공간 규모의 척도인 로스비 내부변형 반경은 북태평양에서 O(1) 정도로 위도에 따른 공간적 변화가 큰 것으로 나타났다. 본 연구는 SST합성장 생산과정에 위도와 해수의 수직적 밀도 구조와 밀접한 관련이 있는 해양 현상의 수평적 규모의 시공간적 변동 특성을 고려해야 함을 제시한다.