• Title/Summary/Keyword: measure of central tendency

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

  • Lee, Young-Ha;Lee, Eun-Hee
    • The Mathematical Education
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    • v.50 no.4
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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.

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

  • 김영구
    • Journal of Oral Medicine and Pain
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    • v.6 no.1
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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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The ex-Gaussian analysis of reaction time distributions for cognitive experiments (ex-Gaussian 모형을 활용한 인지적 과제의 반응시간 분포 분석)

  • Park, Hyung-Bum;Hyun, Joo-Seok
    • Science of Emotion and Sensibility
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    • v.17 no.2
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    • pp.63-76
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    • 2014
  • Although most behavioral reaction times (RTs) for cognitive tasks exhibit positively skewed distributions, the majority of studies primarily rely on a measure of central tendency (e.g. mean) which can cause misinterpretations of data's underlying property. The purpose of current study is to introduce procedures for describing characteristics of RT distributions, thereby effectively examine the influence of experimental manipulations. On the basis of assumption that RT distribution can be represented as a convolution of Gaussian and exponential variables, we fitted the ex-Gaussian function under a maximum-likelihood method. The ex-Gaussian function provides quantitative parameters of distributional properties and the probability density functions. Here we exemplified distributional analysis by using empirical RT data from two conventional visual search tasks, and attempted theoretical interpretation for setsize effect leading proportional mean RT delays. We believe that distributional RT analysis with a mathematical function beyond the central tendency estimates could provide insights into various theoretical and individual difference studies.

Analysis of Statistical Methods Currently used in Toxicology Journals

  • Na, Jihye;Yang, Hyeri;Bae, SeungJin;Lim, Kyung-Min
    • Toxicological Research
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    • v.30 no.3
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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
    • Proceedings of the Korea Water Resources Association Conference
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    • 2019.05a
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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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    • v.15 no.6
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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.

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

  • Hong, Na-Young
    • Journal of the Korean Society of Costume
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    • v.58 no.5
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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.

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

  • Choi Han-Gon;Yong Chul Soon;Rhee Jong-Dhal;Woo Jong-Soo;Lee Kyung Hee;Yoo Bong Kyu
    • YAKHAK HOEJI
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    • v.49 no.4
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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.

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

  • Kim, Jeong-Hoon;Lee, Ki-Soo;Park, Young-Guk
    • The korean journal of orthodontics
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    • v.23 no.1 s.40
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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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A Methodology for 3-D Optimally-Interpolated Satellite Sea Surface Temperature Field and Limitation (인공위성 해수면온도 3-D 최적 내삽 합성장 생산 방법과 한계점)

  • Park, Kyung-Ae;Kim, Young-Ho
    • Journal of the Korean earth science society
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    • v.30 no.2
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    • pp.223-233
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    • 2009
  • Three-dimensional (3-D) optimally-interpolated sea surface temperature (SST) field was produced by using AQUA/AMSR-E satellite data, and its limitations were described by comparing the temporal average of sea surface temperatures. The 3-D OI (Optimum Interpolation) SST showed a small error of less than $0.05^{\circ}C$ in the central North Pacific, but yielded large errors of greater than $0.4^{\circ}C$ at the coastal area where the satellite microwave data were not available. OI SST composite around pixels with no observation due to heavy rainfall or cloudy pixels had estimation errors of $0.1-0.15^{\circ}C$. Comparison with temporal means showed a tendency that overall OI SSTs were underestimated around heavy cloudy pixels and smoothed out by reducing the magnitude of SST fronts. In the low-latitude areas near the equator, OI SST field produced discontinuity, originated from the window size for the OI procedure. This was mainly caused by differences in the spatial scale of oceanic features. Infernal Rossby deformation radius, as a measure of spatial stale, showed dominant latitudinal variations with O(1) difference in the North Pacific. This study suggests that OI SST methodology should consider latitudinally-varying size of window and the characteristics of spatial scales of oceanic phenomena with substantial dependency on latitude and vertical structure of density.