• Title/Summary/Keyword: Column plot

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Correlation plot for a contingency table

  • Hong, Chong Sun;Oh, Tae Gyu
    • Communications for Statistical Applications and Methods
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    • v.28 no.3
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    • pp.295-305
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    • 2021
  • Most graphical representation methods for two-dimensional contingency tables are based on the frequencies, probabilities, association measures, and goodness-of-fit statistics. In this work, a method is proposed to represent the correlation coefficients for each of the two selected levels of the row and column variables. Using the correlation coefficients, one can obtain the vector-matrix that represents the angle corresponding to each cell. Thus, these vectors are represented as a unit circle with angles. This is called a CC plot, which is a correlation plot for a contingency table. When the CC plot is used with other graphical methods as well as statistical models, more advanced analyses including the relationship among the cells of the row or column variables could be derived.

Biplot of Ranked Data

  • Han, Sang-Tae;Huh, Myung-Hoe
    • Journal of the Korean Statistical Society
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    • v.24 no.2
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    • pp.439-451
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    • 1995
  • Ranked data are widely used in the area of social sciences, for instance in polls and preference surveys, in which a number of objects (or stimuli) are evaluted and ranked by a panel of judges (or subject) according to their preference. We propose a graphical method for ranked data by quantifying objects and judges. In a plot for judges, the interpoint distances can be interpreted as Spearman or Kendall distance between two rankings given by respective judges. Similarly, we also construct a plot for objects with a sensible relationship to the previous plot for judges.

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Graphical Representation of Partially Ranked Data

  • Han, Sang-Tae
    • Communications for Statistical Applications and Methods
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    • v.18 no.5
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    • pp.637-644
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    • 2011
  • Partially ranked data refers to the situation in which there are p distinct objects; however each judge specifies only first s (s < p) choices. The group theoretic formulation for partially ranked data analysis was set up by Critchlow (1985). We propose a graphical method for partially ranked data by quantifying objects and judges. In a plot for judges, the interpoint distances can be interpreted as Spearman or Kendall distances between two rankings given by respective judges. Similarly, we also construct a plot for objects with a sensible relationship to the previous plot for judges. This study extends the Han and Huh (1995) quantification method of fully ranked data using Gabriel's (1971) biplot technique for multivariate data matrix.

A study on ignition delays of sprays using a shock tube (충격파관을 이용한 분무연료의 착화지연에 관한 연구)

  • 정진도;류정인;수곡행부
    • Journal of the korean Society of Automotive Engineers
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    • v.11 no.6
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    • pp.48-56
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    • 1989
  • A shock tube technique was developed in which a freely falling droplets column produced by an ultrasonic atomizer was ignited behind reflected shock. In the present study, the effects of turbulent mixing on the ignition delay of a cetane was decided, also, ignition process was investigated. For the purpose of disturbance of droplets column and mixing, authors installed turbulent lattice in shock tube. Usually, the ignition delay is so called Arrhenius plot which found break point in the Arrhenius plot on the high temperature side. The rate of misfiring increased rapidly below 1080K, but ignition took place from 838k and luminous flame was seen to spread over the whole section by turbulent lattice. Length, from end plate to turbulent lattice, was varied with 60,40,20mm. Also, ignition process was detected by Photo transistor. As a result, it was found that physical factors changed ignition delay greatly and turbulent mixing had a considerable effects in the ignition process.

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Dust Scattering in Turbulent Media: Correlation between the Scattered Light and Dust Column Density

  • Seon, Kwang-Il;Witt, Adolf N.
    • The Bulletin of The Korean Astronomical Society
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    • v.39 no.1
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    • pp.59.2-59.2
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    • 2014
  • Radiative transfer models in a spherical, turbulent interstellar medium (ISM), in which the photon source is situated at the center, are calculated to investigate the correlation between the scattered light and the dust column density. The medium is modeled using fractional Brownian motion structures that are appropriate for turbulent ISM. The correlation plot between the scattered light and optical depth shows substantial scatter and deviation from simple proportionality. It was also found that the overall density contrast is smoothed out in scattered light. In other words, there is an enhancement of the dust-scattered flux in low-density regions, while the scattered flux is suppressed in high-density regions. The correlation becomes less significant as the scattering becomes closer to being isotropic and the medium becomes more turbulent. Therefore, the scattered light observed in near-infrared wavelengths would show much weaker correlation than the observations in optical and ultraviolet wavelengths. We also find that the correlation plot between scattered lights at two different wavelengths shows a tighter correlation than that of the scattered light versus the optical depth.

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Purification and Characterization of Cholesterol Oxidase Produced by Streptomyces sp. No.4 (방선균 Streptomyces sp. No.4가 생산하는 Cholesterol Oxidase의 정제 및 특성)

  • 김현수;고희선
    • KSBB Journal
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    • v.14 no.3
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    • pp.322-327
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    • 1999
  • The cholesterol oxidase(EC.1.1.3.6) produced from Streptomyces sp. No.4 which isolated from soil was purified and investigated for the enzymatic properties. The enzyme was purified specifically by cholesterol affinity column chromatography with a yield of 28.3%. The purified enzyme showed a single polypeptide on SDS-PAGE and the molecular weight was estimated to be 60,000 daltons. The enzyme activity was strongly inhibited by metal ions such as $HgCl_2$ and $CuSO_4$. Dithiothreitol and mercaptoethanol inhibited the enzyme activity at concentration of 1mM. The Michaelis constant(Km) for cholesterol was found to be 1.38mM by Lineweaver-Burk plot analysis. Amino acid analysis showed that the enzyme protein was composed of 416 amino acid residues including 52moles of glycine and 19moles of tryptophane.

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Standardizing GC-FID Measurement of Nonmethane Hydrocarbons in Air for International Intercomparison Using Retention Index and Effective Carbon Number Concept

  • Liaw, Sheng-Ju;Tso, Tai-Ly
    • Analytical Science and Technology
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    • v.8 no.4
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    • pp.807-814
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    • 1995
  • Accurate measurements of ozone precursors are required to understand the process and extent of ozone formation in rural and urban areas. Nonmethane hydrocarbons (NMHCs) have been identified as important ozone precursors. Identification and quantification of NMHCs are difficult because of the large number present and the wide molecular weight range encountered in typical air samples. A major plan of the research team of the Climate and Air Quality Taiwan Station (CATs) was the measurement of atmospheric nonmethane hydrocarbons. An analytical method has been development for the analysis of the individual nonmethane hydrocarbons in ambient air at ppb (v) and subppb(v) levels. The whole ambient air samples were collected in canisters and analyzed by GC-FID with $Al_2O_3$/KCl PLOT column. Our targeted for quantitative analysis 43 compounds that may be substantial contributors to ozone formation. The retention indices and molar response factors of some commercially available $C_2{\sim}C_{10}$ hydrocarbons were determined and used to identify and quantify air samples. A quality assurance program was instituted to ensure that good measurements were made by participating in the International Nonmethane Hydrocarbon Intercomparison Experiments (NOMHICE).

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The Elution Behaviors of Some Metal-2-Hydroxy-arylazopyrazolone Chelates by Reversed Phase Liquid Chromatography (II) (역상 액체 크로마토그래피에 의한 금속-2-hydroxy-arylazopyrazolone 유도체 킬레이트의 용리거동에 관한 연구 (II))

  • Lee, Won;Kim, In-Whan;Kang, Chang-Hee;Kim, Eun-Kyung
    • Analytical Science and Technology
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    • v.7 no.3
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    • pp.379-386
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    • 1994
  • The elution behaviors in reversed-phase liquid chromatography were investigated thermodynamically for 2-hydroxy-arylazopyrazolone chelates with Ni(II), Cu(II), Co(III), Cr(III) on Novapak $C_{18}$ column. There was a good linear dependence of the capacity factor(k') on the variations of column temperature in van't Hoff plot. From this result, it was confirmed that the retention mechanism of these chelates in the reversed phase liquid chromatography system was invariant under the condition of various temperatures. For the most cases of the chelates studied, the dependence of capacity factor(1n k') on enthalpy$(-{\Delta}H)^{\circ}$, calculated by van't Hoff plot showed a good linearity(r=0.980~0.999) except [Pm(2-OH_(5-Cl)PaPz](r=0.787) and also the compensation temperatures(${\beta}$) showed constant values. The range of compensation temperature values calculated from the slope of $-{\Delta}H^{\circ}$ vs 1n k' plots was 374.3~806.9K. It was suggested that the retention of metal-2-hydroxy-arylazopyrazolone chelates in the reversed phase liquid chromatography system was largely affected by the hydrophobic effect.

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Molecular weight of major component proteins in crude saline extract of adult Paragonimus westermani (폐흡충 성충 생리식염수 추출액의 성분 단백질의 분자량)

  • Yoon Kong;Woong Bong Kim;Shin-Yong Kang;Seung-Yull Cho
    • Parasites, Hosts and Diseases
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    • v.29 no.2
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    • pp.113-120
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    • 1991
  • When the component proteins in crude saline extract of 13-week old adult Paragonimus westermani were observed by non-denaturing discontinuous-polyacrylamide gel electrophoresis (Disc-PAGE), 8 distinct bands were clearly recognized. Molecular weight (MW) of each band protein, numbered in sequence from cathodal side which appeared in 10% separating gel, was measured first by Ferguson plot utilizing different gel concentrations from 10% to 4.5%. MW of band 1 Protein (known as egg Protein) was 440 kDa. And MW of other band Proteins were: 386 kDa in band 2, 17.4 kDa in band 3, 17kDa in band 4, 14.3 kDa in band 5, 46 kDa in band 6, 38 kDa in band 7 and 23 kDa in band 8. When the proteins in the crude extract were separated into fractions by molecular sieve chromatography through 1.6 (Φ)×70cm sired Sephacryl 5-300 Superane column and revisualized by Disc-PAGE in 8% gel, the sequence of fluted proteins was band 1, band 2, band 6, band 7 and bands 3,4,5 and 8. This elusion profile confirmed MW of each band protein in the crude extract as measured by Ferguson plot.

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Purification and Characterization of Cholesterol Oxidase Produced by Streptomyces polychromogenes IFO 13072. (Streptomyces polychromogenes IFO 13072가 생산하는 Cholesterol Oxidase의 정제 및 효소학적 특성)

  • 김현수;성림식;이경화;이용직;이인선;유대식
    • Microbiology and Biotechnology Letters
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    • v.30 no.2
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    • pp.142-150
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    • 2002
  • Streptomyces polychromogenes IFO 13072 was used as a strain producing cholesterol oxidase(EC 1.1.3.6). The conditions of cholesterol oxidase production were investigated. The optimum composition of medium for production of the enzyme was 1% dextrin, 0.5% casamino acid, 0.1% $KH_2$PO$_4$, 0.5% $NaNO_3$ and 0.05% $MgSO_4$(pH 7.3). The enzyme was purified specifically by cholesterol affinity column chromatography with a yield of 23.2%. The purified enzyme showed a single polypeptide on SDS-PAGE and the molecular weight was estimated about 52,000 daltons. The optimum pH and temperature of the cholesterol oxidase were pH 7.0 and $37^{\circ}C$, respectively. The enzyme was stable in the range of pH 6.0~7.0 and $25^{\circ}C$. The cholesterol oxidase activity was strongly inhibited by metal ions such as $Hg^{2+}$ and $Fe^{2+}$ and inhibitors such as dithiothreitol, mercaptoethanol and isonicotinic acid. The Michaelis constant(Km) for the cholesterol was found to be 25 mM by Lineweaver-Burk plot analysis.