• Communications for Statistical Applications and Methods
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• 제28권3호
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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.

• The Korean Journal of Ecology
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• 제9권3호
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• pp.161-184
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• 1986

An experiment was made in order to analyze the growth characteristics and productivity of Zoysia japonica under control, mowing and TIBA treatment conditions at the experimental farm of Kyung Hee univ. from May 26 to Oct. 1 in 1985. The field was planned by the randomized block design method and each treatment was given to three plots (2${\times}$2, 4${\times}$4 and 10${\times}$10 cm) and was replicated three times. Each plot was 1$m^2$ for Zoysia japonica. The sampling of each plot was taken once a week after sowing. In order to know the dry matter of total standing crops, kept 9$0^{\circ}C$ and weighted each organ of the plants. Total leaf area of a plant was measured by drawing method. The author adopted the growth analysis of English School. The increasing rates of numbers of leaf and stem were remarkably high in each plot between 10th and 12th weak after sowing and it was highest in TIBA treated plot. The increasin rate of leaf area in each plot was remarkably high beween 10th and 12th week and the maximum value of leaf area was 274.00c$m^2$ in TIBA treated plot of 100 plants/$m^2$. The increasing rate of standing crop was remarkably high between 10th and 12th week and the high increasing tendency in TIBA plot resulted from TIBA. The positive correlationship was founded between standing crop and leaf area. The evaporation rather than temperature acted as a main factor of negative correlation with standing crop during the experiment period. Solar radiation had a high positive correlation in the lower density of plot. C/F ratio was low, during the growth period, from 10th to 12th week after sowing and was low in the higher density under each treated plot. T/R ratio was not constant during the sampling period but was high in the lower density. The increasing rates of RGR and NAR were high between 11th and 12th week after sowing. Leaf area ratio was high in higher density in each plot and not constant in all treated plot.

• 천문학회보
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• 제39권1호
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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.

• 한국수자원학회논문집
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• 제47권2호
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• pp.161-170
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• 2014

수공구조물의 설계 시 적절한 확률수문량을 추정하는 것은 매우 중요하며, 이러한 확률수문량을 추정하기 위해서는 표본으로서의 수문자료를 잘 표현할 수 있는 확률분포형을 찾아야 한다. 이와 같이 수문자료에 통계적 특성을 잘 표현할 수 있는 확률분포형을 찾기 위해서 적합도 검정을 실시하며, 적합도 검정 중 하나인 확률도시 상관계수 검정은 비교적 최근에 개발되어 그 사용법이 간단하며 높은 기각능력을 갖는다고 알려져 있다. 본 연구에서는 왜곡도 계수의 영향을 고려할 수 있는 도시위치공식을 이용하여 확률도시 상관계수 검정통계량을 유도하고 그 기각능력을 검토하였으며, 그 결과를 기존에 왜곡도 계수를 고려하지 않은 확률도시 상관계수 검정 방법과 비교해보았다. 그 결과 본 연구에서 유도된 확률도시 상관계수 검정에 의한 기각능력이 기존의 검정 방법들 보다 뛰어났으며, 특히 표본 크기가 작을수록, 발생 분포형이 형상 매개변수를 가질 경우 기각능력이 높게 나타나는 것으로 나타났다.

• Applied Biological Chemistry
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• 제16권2호
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• pp.99-111
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• 1973

전국적(全國的)으로 실시한 삼요소(三要素) 시험중(試驗中) 1967년(年) 51개소(個所) 68년(年)에 32개소(個所)에서 N 8, 10, 12, 14kg/10a 수준(水準)과 $P_2O_5$ 및 $K_2O$ 각(各) 6과 8kg 시비수준(施肥水準)에 대(對)한 삼요소(三要素) 이용율(利用率)을 조사(調査)하였다. 삼요소(三要素) 이용율(利用率)과 수량(收量) 및 건물생산량(乾物生産量), 삼요소(三要素) 및 규산흡수량(珪酸吸收量)과의 아래와 같은 관계에서 무기양분(無機養分)의 생산(生産)에 기여하는 양상(樣相)이 시용(施用)한 P가 1차적(次的)으로 Si흡수(吸收)를 이차적(二次的)으로 Si가 N흡수(吸收)를 조장(助長)하여 기여하는 P형(型)과 시용(施用)한 K가 P흡수(吸收)를, 이차적(二次的)으로 P가 N흡수(吸收)를 조장(助長)하여 기여하는 K형(型)으로 연도별(年度別) 주도형(主導型)을 구분(區分)할 수 있었다. 1. 질소(窒素)는 전포장수(全圃場數)의 4%, 인산(燐酸)은 48%, 가리(加里)는 38%가 0 또는 부(負)의 이용율(利用率)을 보였으며 이용율(利用率)의 발현빈도(發現頻度) 백분분포(百分分布)가 N는 30 내지 40에서 최고빈도(最高頻度)를 보이는 정규분포(正規分布)에 가깝게, P와 K는 0 이하(以下)에서 최고빈도(最高頻度)를 갖고 점차 감소하는 편의 분포(分布)를 갖는다. 2. 삼요소(三要素) 이용율(利用率) (0 이상(以上)만)은 67년(年)에 N는 33(10kg 시비(施肥) 수준이상(水準以上)) P는 27, K는 40이고 68년(年)엔 40, 20, 46%이고 부(負)의 이용율(利用率)을 0으로한 2개년(個年) 평균(平均)은33(8kg 이상(以上)) 13, 27이었다. 3. 이용율(利用率)의 표준편차(漂準偏差)는 P와 K에서 이용율(利用率)보다 크고 P이용율(利用率)의 변이(變異)가 가장 크다. 4. 이용율(利用率)과 수량(收量) 또는 건물생산량(乾物生産量)과의 유의상관(有意相關) 출현빈도(出現頻度)는 N>K>P의 순(順)이며 10kg 수준의 N이용율(利用率)은 67년(年)엔 P이용율(利用率)과만 63년(年)엔 K이용율(利用率)과만 유의상관(有意相關)을 갖는다. 5. P이용율(利用率)은 그것이 높고 K이용율(利用率)이 낮았던 67년(年)에만, 그리고 K이용율(利用率)은 그와 반대였던 68년(年)에만 모든 처리구의 건물생산량(乾物生産量)과 유의상관(有意相關)을 보이고, 유의상관(有意相關)이 없는 해에는 무비구(無肥區) 및 결비구(缺肥區)區에서 부상관계수(負相顯係數)를 보이고 있다. 6. 이용율(利用率)과 수량(收量)과의 상관(相關)은 이용율(利用率)과 건물생산량(乾物生産量)과의 상관(相關)과 경향은 유사하나 유의성이 적어삼요소(三要素) 영양(營養)은 건물생산(乾物生産)에서 잘 표현된다. 7. N이용율(利用率)은 N시비구(施肥區)의 N흡수량(吸收量)과 많은 경우 유의상관(有意相關)을, 무(無)N구(區)의 흡수량(吸收量)과는 유의부상관(有意負相關)을 보이며, N시비구(施肥區)의 P, K또는 Si흡수량(吸收量)과도 여러 경우 유의상관(有意相關)을 보였다. 8. P이용율(利用率)은 그것이 높았던 67년(年)만 모든 처리구에서 Si흡수량(吸收量)과, 그리고 무(無)P구(區)를 제(除)한 모든 처리구의 N 흡수량(吸收量)과 유의상관(有意相關)을 보여 P는 일차적(一次的)으로 Si흡수(吸收)를 돕고 이차적(二次的)으로 Si흡수(吸收)가 N흡수(吸收)를 조장(助長)함을 나타낸다. P이용율(利用率)은 N시비구(施肥區)의 P흡수량(吸收量)과 K흡수량(吸收量)과도 많은 경우 유의상관(有意相關)을 보였다. 9. K이용율(利用率)은 그것이 컸던 68년(年)에 모든 처리구의 P흡수량(吸收量)과 무(無)N구(區)을 제(除)한 모든 처리구의 N흡수량(吸收量)과 그리고 무(無)P구(區)를 제(除)한 모든 처리구의 K흡수량(吸收量)과 유의상관(有意相關)을 보이며 무(無)K구(區)의 K흡수량(吸收量)과는 부상관(負相關)이고 K이용율(利用率)이 적었던 67년(年)에는 무비구(無肥區)나 결비구(缺肥區)의 P흡수량(吸收量)과 유의성(有意性)은 없으나 부상관(負相關)이었다. K이용율(利用率)은 N나 P와는 달리 K흡수량(吸收量)과 보다 수량(收量)이나 건물생산량(乾物生産量)과의 상관(相關)이 더 크며 K이용율(利用率)이 컸던 해에만 Si흡수량(吸收量)과 무(無)N구(區)와 최고시비구(最高施肥區)에서 유의상관(有意相關)을 갖고 무(無)K구(區)에서 유의부상관(有意負相關)을 보였다. 이로서 K는 일차적(一次的)으로 P흡수(吸收)를 돕고 이차적(二次的)으로 P가 N흡수(吸收)를 도와서 생산(生産)에 기여하는 것 같다. 10. N이용율(利用率)과 수량(收量)이나 건물생산량(乾物生産量)과의 상관(相關)이 무(無)P구(區)에서 보다 무(無)K구(區)가 높고 무(無)K구(區)보다 시비구(施肥區)에서 높으며 이러한 경향은 N이용율(利用率)과 N흡수량(吸收量)사이에서도 동일(同一)하였다. 이 사실과, K이용율(利用率)과 건물생산량(乾物生産量)과의 관계는 P가 N흡수(吸收)를 돕고 N나 P가 부족(不足)할 때에는 K가 N흡수(吸收)를 경쟁적으로 억제하여 생산(生産)을 저하(低下)시키는 것을 나타낸다. 11. 삼요소(三要素) 이용율(利用率)은 67년(年)에는 무(無)P구(區)의 상대건물생산량(相對乾物生産量)과, 68년(年)에는 무(無)K구(區)의 상대수량(相對收量)과 유의상관(有意相關)을 갖는다. 이는 P가 분얼 즉 영양생장단계에, K가 곡실형성 즉 생식 생장단계에 더 작용(作用)하였음을 나타내고 있다. 12. 삼요소(三要素) 이용율(利用率)과 결비구(缺肥區)의 상대생산량(相對生産量)이나 무비구(無肥區)의 결비구(缺肥區)에 대(對)한 상대생산량(相對生産量)과의 상관(相關)에서 어느 경우에도 N가 수도생산(水稻生産)에 가장 큰 역할(役割)을 하고 있음을 보였다. 13. 이상의 결과에서 40 내지 50%의 포장(圃場)은 P와 K를 시비(施肥)하지 아니해도 되며 시비량(施肥量)도 연도(年度)및 포장에 따라 변이(變異)가 커야 할 것이며 특히 P에서 그러하다.

• Bulletin of the Korean Chemical Society
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• 제34권8호
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• pp.2455-2460
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• 2013

Second-order rate constants ($k_N$) have been measured spectrophotometrically for the nucleophilic displacement reactions of 4-nitrophenyl X-substituted-cinnamates (4a-4e) and Y-substituted-phenyl cinnamates (5a-5e) with Z-substituted-phenoxide anions in 80 mol % $H_2O$/20 mol % DMSO at $25.0{\pm}0.1^{\circ}C$. The Hammett plot for the reactions of 4a-4e with 4-chlorophenoxide (4-$ClPhO^-$) consists of two intersecting straight lines, which might be taken as a change in the rate-determining step (RDS). However, it has been concluded that the nonlinear Hammett plot is not due to a change in the RDS but is caused by stabilization of the ground state of substrates possessing an electron-withdrawing group in the cinnamoyl moiety through resonance interactions, since the Yukawa-Tsuno plot exhibits an excellent linear correlation with ${\rho}X=0.89$ and r = 0.58. The Br${\o}$nsted-type plot for the reactions of 4-nitrophenyl cinnamate (4c) with Z-substituted-phenoxides is linear with ${\beta}_{nuc}=0.76$. The Br${\o}$nsted-type plot for the reactions of Y-substituted-phenyl cinnamates (5a-5d) with 4-chlorophenoxides (4-$ClPhO^-$) is also linear with ${\beta}_{lg}=-0.72$. The Hammett plot correlated with ${\sigma}^-$ constants for the reactions of 5a-5d results in a much better linear correlation than that correlated with ${\sigma}^o$ constants, indicating that a partial negative charge develops on the O atom of the leaving aryloxide. Thus, the reactions have been concluded to proceed through a concerted mechanism.

• Bulletin of the Korean Chemical Society
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• 제29권4호
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• pp.767-771
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• 2008

Second-order rate constants have been measured spectrophotometrically for the Michael-type reaction of 1-(Xsubstituted phenyl)-2-propyn-1-ones (2a-f) with amines in $H_2O$ at 25.0 ${\pm}$ 0.1 ${^{\circ}C}$. A linear Brønsted-type plot is obtained with ${\beta}_{nuc}$ = 0.25 ${\pm}$ 0.02, a typical $\beta_{nuc}$ value for reactions which proceed through a stepwise mechanism with attack of amine on the electrophilic center being the rate-determining step. Secondary alicyclic amines are found to be more reactive than isobasic primary amines. The Hammett plot for the reactions of 2a-f with morpholine is not linear, i.e., the substrate with a strong electron-donating group (e.g., 4-MeO) exhibits a negative deviation from the Hammett plot. However, the Yukawa-Tsuno plot for the same reactions exhibits an excellent linear correlation with ρ = 0.62 and r = 0.82. Thus, it has been proposed that the nonlinear Hammett plot is not due to a change in the ra te-determining step but due to ground-state stabilization through resonance interactions.

• Communications for Statistical Applications and Methods
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• 제11권2호
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• pp.345-353
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• 2004

Graphical methods for the specification of the curvature as a function of two predictors are animated to see the effect of an added variable to the model. Through a 3D animated plot it might be difficult to find a sequence of interpretable plots. But examples demonstrate that useful information can be obtained by using rotation technique in 3D plot. Besides 3D plots, an example of 2D animated plot applied to the case of high correlation between predictors and an added predictor is also given. It implies that speed of the convergence to a certain image in a dynamic plot may be understood as an influence of collinearity.

• 천문학논총
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• 제21권2호
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• pp.27-33
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• 2006

Infrared color-color diagram of 10 giant molecular clouds are examined to explore the dust property from the COBE Diffuse Infrared Background Experiment of the 100, 140, and $240{\mu}m$ emission. Four of them, Taurus, Mon OB1, Gem OB1, and Chameleon, show the anti-correlation in $R_{100/140}-R_{140/240}$ plot and the horizontal distribution in $R_{100/240}-R_{140/240}$ plot, which disagree with those of theoretical calculation. These could be explained by the depletion of $100{\mu}m$ and the excess of $140{\mu}m$ emission, though no existing dust model could support them. Mean color temperature of the anti-correlation region appears to be lower than that of the linear region, whose temperatures are 15.3, 17.0 K, respectively. And the linear region shows large dispersion in the plot of intensity relation. Both imply that a star formation would be more active, but not homogeneous, in the linear region compared to the anti-correlation region.

• Bulletin of the Korean Chemical Society
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• 제34권7호
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• pp.2001-2005
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• 2013

The second-order rate constants ($k_{OH^-}$) for the reactions of Y-substituted-phenyl diphenylphosphinates (4a-4i) with $OH^-$ in $H_2O$ at $25.0{\pm}0.1^{\circ}C$ have been measured spectrophotometrically. Comparison of $k_{OH^-}$ with $k_{EtO^-}$ (the second-order rate constants for the corresponding reactions with $EtO^-$ in ethanol) has revealed that $EtO^-$ is less reactive than $OH^-$ although the former is ca. 3.4 $pK_a$ units more basic than the latter, indicating that the reactivity of these nucleophiles is not governed by their basicity alone. The Br${\o}$nsted-type plot for the reactions of 4a-4i with $OH^-$ is linear with ${\beta}_{lg}$ = -0.36. The Hammett plot correlated with ${\sigma}^-$ constants results in a slightly better correlation than that correlated with ${\sigma}^{\circ}$ constants but exhibits many scattered points. In contrast, the Yukawa-Tsuno plot for the same reactions exhibits an excellent linear correlation with ${\rho}$ = 0.95 and r = 0.55. The r value of 0.55 implies that a negative charge develops partially on the O atom of the leaving group. Thus, the reactions of 4a-4i with $OH^-$ have been concluded to proceed through a concerted mechanism.