• Title/Summary/Keyword: kolmogorov-smirnov test

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Tree Size Distribution Modelling: Moving from Complexity to Finite Mixture

  • Ogana, Friday Nwabueze;Chukwu, Onyekachi;Ajayi, Samuel
    • Journal of Forest and Environmental Science
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    • v.36 no.1
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    • pp.7-16
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    • 2020
  • Tree size distribution modelling is an integral part of forest management. Most distribution yield systems rely on some flexible probability models. In this study, a simple finite mixture of two components two-parameter Weibull distribution was compared with complex four-parameter distributions in terms of their fitness to predict tree size distribution of teak (Tectona grandis Linn f) plantations. Also, a system of equation was developed using Seemingly Unrelated Regression wherein the size distributions of the stand were predicted. Generalized beta, Johnson's SB, Logit-Logistic and generalized Weibull distributions were the four-parameter distributions considered. The Kolmogorov-Smirnov test and negative log-likelihood value were used to assess the distributions. The results show that the simple finite mixture outperformed the four-parameter distributions especially in stands that are bimodal and heavily skewed. Twelve models were developed in the system of equation-one for predicting mean diameter, seven for predicting percentiles and four for predicting the parameters of the finite mixture distribution. Predictions from the system of equation are reasonable and compare well with observed distributions of the stand. This simplified mixture would allow for wider application in distribution modelling and can also be integrated as component model in stand density management diagram.

A Structural Model of Family Health in Married Middle-aged (중년기 기혼 성인의 가족건강 구조모형)

  • Kim, Hee-Sook;Shin, Dong-Soo;Chun, Sung-Joo;Lee, Sung-Hee
    • Korean Journal of Adult Nursing
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    • v.20 no.4
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    • pp.641-651
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    • 2008
  • Purpose: this study was to develop and test the structural model that explains husband and wife compatibility and family health of married middle-aged. A hypothetical model explaining husband and wife compatibility and family health based on literature reviews. There were three theoretical variables and twelve observed variables in hypothetical model. Methods: Data collection was carried out May through July 2005. Data were collected by self-reporting questionnaires from 854 married middle-aged who lived in Seoul, Busan, Daegu, Kyungnam, Kyungpook. Collected data was analyzed using SPSS/WIN 12.0 for descriptive statistics, Pearson Correlation coefficient, and Kolmogorov-Smirnov analysis. Results: LISREL program was used to find the best fit normal which assumes causal relationship among variables. This model was to be good fitting and parsimonious to measure husband and wife compatibility and family health of married middle-aged. Conclusion: Differentiation of self and husband and wife compatibility predicted level of family health. Therefore, a family health improvement program needs to include these two variables.

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Criterion of Test Statistics for Validation in Credit Rating Model (신용평가모형에서 타당성검증 통계량들의 판단기준)

  • Park, Yong-Seok;Hong, Chong-Sun;Lim, Han-Seung
    • Communications for Statistical Applications and Methods
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    • v.16 no.2
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    • pp.239-347
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    • 2009
  • This paper presents Kolmogorov-Smirnov, mean difference, AUROC and AR, four well known statistics that have been widely used for evaluating the discriminatory power of credit rating models. Criteria for these statistics are determined by the value of mean difference under the assumption of normality and equal standard deviation. Alternative criteria are proposed through the simulations according to various sample sizes, type II error rates, and the ratio of bads, also we suggest the meaning of statistic on the basis of discriminatory power. Finally we make a comparative study of the currently used guidelines and simulated results.

Probability Distribution of BOD EMC from Paddy Fields (논 유출수 BOD의 유량가중평균농도(EMC) 확률분포)

  • Jin, So-Hyun;Jung, Jae-Woon;Yoon, Kwang-Sik;Choi, Woo-Jung;Choi, Dong-Ho;Kim, Sang-Don;Kang, Jae-Hong;Choi, Yu-Jin
    • Journal of Environmental Science International
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    • v.19 no.9
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    • pp.1153-1159
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    • 2010
  • Identification of probability distribution for water quality constituents from specific land use is important to achieve successful implementation of TMDL program. In this 3-year study, distribution of discharge and BOD(Biological Oxygen Demand) concentration from paddy rice fields were monitored. Four probability distributions, normal, log-normal, Gamma and Weibull were fitted and the goodness-of-fit was assessed using probability plots and Kolmogorov-Smirnov test. $EMC_s$ of BOD in runoff from paddy field ranged 0.37 to $7.99\;mgL^{-1}$, and all four probability distributions were acceptable. But the normal distribution would be preferred for BOD from paddy fields considering nature of straight forward application.

A Study on the Statistical Distribution of Ultrasonic Velocities for the Condition Evaluation of Concrete Wide Beam (콘크리트 넓은 보의 상태평가를 위한 초음파 속도의 통계학적 분포에 대한 연구)

  • Yoon, Young-Geun;Lee, In-Bok;Sa, Min-Hyung;Oh, Tae Keun
    • Journal of the Korean Society of Safety
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    • v.32 no.2
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    • pp.98-104
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    • 2017
  • The ultrasonic pulse velocities of pressure, shear, and Rayleigh waves ( P-, S-, and R- waves) have been used for the condition evaluation of various concrete structures, but the statistical distribution according to the wave type has not been studied clearly in view of data reliability and validity. Therefore, this study analyzed the statistical distribution of P-, S-, R-wave velocities in concrete wide beams of $800{\times}3100mm$ (width ${\times}$ length) with a thickness of 300 mm. In addition, we investigated an experimental consistency by the Kolmogorov-Smirnov goodness-of-fit test. The experimental data showed that the R-, S- and P- wave velocities in order have better statistical stability and reliability for in situ evaluation because R- and S-waves are less sensitive to confinement and boundary conditions. Also, good correlations between wave velocities and strength and modulus of elasticity were found, which indicate them as appropriate techniques for estimating the mechanical properties.

Low Income and Rural County of Residence Increase Mortality from Bone and Joint Sarcomas

  • Cheung, Min Rex
    • Asian Pacific Journal of Cancer Prevention
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    • v.14 no.9
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    • pp.5043-5047
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    • 2013
  • Background: This is a part of a larger effort to characterize the effects on socio-economic factors (SEFs) on cancer outcome. Surveillance, Epidemiology and End Result (SEER) bone and joint sarcoma (BJS) data were used to identify potential disparities in cause specific survival (CSS). Materials and Methods: This study analyzed SEFs in conjunction with biologic and treatment factors. Absolute BJS specific risks were calculated and the areas under the receiver operating characteristic (ROC) curve were computed for predictors. Actuarial survival analysis was performed with Kaplan-Meier method. Kolmogorov-Smirnov's 2-sample test was used to for comparing two survival curves. Cox proportional hazard model was used for multivariate analysis. Results: There were 13501 patients diagnosed BJS from 1973 to 2009. The mean follow up time (SD) was 75.6 (90.1) months. Staging was the highest predictive factor of outcome (ROC area of 0.68). SEER stage, histology, primary site and sex were highly significant pre-treatment predictors of CSS. Under multivariate analysis, patients living in low income neighborhoods and rural areas had a 2% and 5% disadvantage in cause specific survival respectively. Conclusions: This study has found 2-5% decrement of CSS of BJS due to SEFs. These data may be used to generate testable hypothesis for future clinical trials to eliminate BJS outcome disparities.

Estimation of Drought Rainfall According to Consecutive Duration and Return Period Using Probability Distribution (확률분포에 의한 지속기간 및 빈도별 가뭄우량 추정)

  • Lee, Soon Hyuk;Maeng, Sung Jin;Ryoo, Kyong Sik
    • Proceedings of the Korea Water Resources Association Conference
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    • 2004.05b
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    • pp.1103-1106
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    • 2004
  • The objective of this study is to induce the design drought rainfall by the methodology of L-moment including testing homogeneity, independence and outlier of the data of annual minimum monthly rainfall in 57 rainfall stations in Korea in terms of consecutive duration for 1, 2, 4, 6, 9 and 12 months. To select appropriate distribution of the data for annual minimum monthy rainfall by rainfall station, the distribution of generalized extreme value (GEV), generalized logistic (GLO) as well as that of generalized pareto (GPA) are applied and the appropriateness of the applied GEV, GLO, and GPA distribution is judged by L-moment ratio diagram and Kolmogorov-Smirnov (K-S) test. As for the annual minimum monthly rainfall measured by rainfall station and that stimulated by Monte Carlo techniques, the parameters of the appropriately selected GEV and GPA distributions are calculated by the methodology of L-moment and the design drought rainfall is induced. Through the comparative analysis of design drought rainfall induced by GEV and GPA distribution by rainfall station, the optimal design drought rainfall by rainfall station is provided.

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A study on the stochastic generation of annual runoff (연유출량의 추계학적 모의발생에 관한 연구)

  • 이순혁;박명근;맹승진
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.37 no.2
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    • pp.31-40
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    • 1995
  • This study was conducted to get best fitting frequency distribution for the annual run- off and to simulate long series of annual flows by single-season first order Markov Model with comparison of statistical parameters which were derived from observed and synthetic flows at four watersheds in Seom Jin and Yeong San river systems. The results summarized through this study are as follows. 1. Hydrologic persistence of observed flows was acknowledged by the correlogram analysis. 2. A normal distribution of the annual runoff for the applied watersheds was confirmed as the best one among others by Kolmogorov-Smirnov test. 3. Statistical parameters were calculated from synthetic flows simulated by normal dis- tribution. In was confirmed that mean and standard deviation of simulated flows are much closer to those of observed data than except coefficient of skewness. 4. Hydrologic persistence between observed flows and synthetic flows simulated was also confirmed by the correlogram analysis. 5. It is to be desired that generation technique of synthetic flow in this study would be compared with other simulation techniques for the objective time series.

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Estimation of Design Rainfall by the Regional Frequency Analysis using Higher Probability Weighted Moments and GIS Techniques(l ) - On the method of L-moments- (고차확률가중모멘트법에 의한 지역화빈도분석과 GIS기법에 의한 설계강우량 추정(II) - L-모멘트법을 중심으로 -)

  • 이순혁;박종화;류경식
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.43 no.5
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    • pp.70-82
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    • 2001
  • This study was conducted to derive the regional design rainfall by the regional frequency analysis based on the regionalization of the precipitation suggested by the first report of this project. Using the L-moment ratios and Kolmogorov-Smirnov test, the underlying regional probability distribution was identified to be the Generalized extreme value distribution among applied distributions. Regional and at-site parameters of the generalized extreme value distribution were estimated by the linear combination of the probability weighted moments, L-moment. The regional and at-site analysis for the design rainfall were tested by Monte Carlo simulation. Relative root-mean-square error(RRMSE), relative bias(RBIAS) and relative reduction(RR) in RRMSE were computed and compared with those resulting from at-site Monte Carlo simulation. All show that the regional analysis procedure can substantially reduce the RRMSE, RBIAS and RR in RRMSE in the prediction of design rainfall. Consequently, optimal design rainfalls following the legions and consecutive durations were derived by the regional frequency analysis.

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THE STUDY ON THE POSITION OF THE MANDIBULAR FORAMEN IN KOREAN CHILDREN (한국인(韓國人) 아동(兒童)의 하악공(下顎孔) 위치(位置)에 관(關)한 X선학적(線學的) 고찰(考察))

  • Baek, Byeong-Joo
    • Journal of the korean academy of Pediatric Dentistry
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    • v.4 no.1
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    • pp.24-27
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    • 1977
  • The Author measured the position of the mandibular foramen with oblique cephalography in 43 5-aged, and 44 7-aged Korean children. The results of the studies were as follows; 1) The distance from the post. occlusal plane to the mandibular foramen was $3.16{\pm}1.22mm$. in age 5 and $1.86{\pm}1.50mm$. in age7 to the below. 2) The meeting point of the occlusal plane and anterior of the ramus to the mandibular foramen was $16.56{\pm}2.18mm$. in age5 and $16.88{\pm}2.69mm$. in age7. 3) The angulation between the occlusal plane and the line connecting the mandibular foramen and the meeting point of anterior border of the ramus with occlusal plane was $12.70{\pm}4.31^{\circ}$ in age5 and $8.27{\pm}5.36^{\circ}$ in age7 to the below. 4) % depth was $56.93{\pm}5.65%$ in age 5 and $53.20{\pm}7.12%$ in age 7. 5) The price of distance and angulation showed significant results at 0.01 level in KOLMOGOROV-SMIRNOV (TWO-SAMPLE) TEST.

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