• 제목/요약/키워드: nonlinear regression analysis

검색결과 365건 처리시간 0.028초

An Effective Algorithm of Power Transformation: Box-Cox Transformation

  • Lee, Seung-Woo;Cha, Kyung-Joon
    • 한국수학사학회지
    • /
    • 제11권2호
    • /
    • pp.63-76
    • /
    • 1998
  • When teaching the linear regression analysis in the class, the power transformation must be introduced to fit the linear regression model for nonlinear data. Box and Cox (1964) proposed the attractive power transformation technique which is so called Box-Cox transformation. In this paper, an effective algorithm selecting an appropriate value for Box-Cox transformation is developed which is considered to find a value minimizing error sum of squares. When the proposed algorithm is used to find a value for transformation, the number of iterations needs to be considered. Thus, the number of iterations is examined through simulation study. Since SAS is one of most widely used packages and does not provide the procedure that performs iterative Box-Cox transformation, a SAS program automatically choosing the value for transformation is developed. Hence, the students could learn how the Box-Cox transformation works, moreover, researchers can use this for analysis of data.

  • PDF

벼, 현미, 백미 및 왕겨의 흡습평형함수율 (Adsorption Equilibrium Moisture Content of Rough Rice, Brown Rice, White Rice and Rice Hull)

  • 금동혁;김훈
    • Journal of Biosystems Engineering
    • /
    • 제26권1호
    • /
    • pp.57-66
    • /
    • 2001
  • This study was performed to determine adsorption equilibrium moisture contents of rough rice, brown rice, white rice and rice hull grown in Korea. EMC values were measured by static method using saturated salt solutions at three temperature levels of 20$\^{C}$, 30$\^{C}$ and 40$\^{C}$, and eight relative humidity levels in the range from 11.2% to 85.0%. The measured EMC values were fitted to modified Henderson, Chung-Pfost, and modified Oswin models by using nonlinear regression analysis. The results of comparing root mean square errors for three models showed that modified Henderson and Chung-Pfost models could serve as good models, and that modified Oswin model could not be applicable to rough rice, brown rice, white rice and rice hull.

  • PDF

로짓(Logit) 모델을 이용한 날씨요소와 송전선로 고장의 다중회귀분석 (Multiple Regression Analysis between Weather Factor and Line Outage using Logit Model)

  • 신동석;이윤호;김진오;이백석;방민재
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2004년도 추계학술대회 논문집 전력기술부문
    • /
    • pp.187-189
    • /
    • 2004
  • This paper investigates the effect of weather factors(such as winds, rain, snows, temperature, clouds and humidity) on transmission line outages. The result shows that weather variables have significant effects on the transmission line historical outages and the relationship between them is nonlinear. Multiple regression analysis using Logit model is proved to be appropriate in forecasting line failure rate in KEPCO systems. It could also provide system operators with useful informations about system operation and planing.

  • PDF

Torsional parameters importance in the structural response of multiscale asymmetric-plan buildings

  • Bakas, Nikolaos;Makridakis, Spyros;Papadrakakis, Manolis
    • Coupled systems mechanics
    • /
    • 제6권1호
    • /
    • pp.55-74
    • /
    • 2017
  • The evaluation of torsional effects on multistory buildings remains an open issue, despite considerable research efforts and numerous publications. In this study, a large number of multiple test structures are considered with normally distributed topological attributes, in order to quantify the statistically derived relationships between the torsional criteria and response parameters. The linear regression analysis results, depict that the center of twist and the ratio of torsion (ROT) index proved numerically to be the most reliable criteria for the prediction of the modal rotation and displacements, however the residuals distribution and R-squared derived for the ductility demands prediction, was not constant and low respectively. Thus, the assessment of the torsional parameters' contribution to the nonlinear structural response was investigated using artificial neural networks. Utilizing the connection weights approach, the Center of Strength, Torsional Stiffness and the Base Shear Torque curves were found to exhibit the highest impact numerically, while all the other torsional indices' contribution was investigated and quantified.

유역형상과 오염부하배출 특성을 고려한 유달계수 산정 (Estimating the Pollution Delivery Coefficient with Consideration of Characteristics Watershed Form and Pollution Load Washoff)

  • 하성룡;박정하;배명순
    • 환경영향평가
    • /
    • 제16권1호
    • /
    • pp.79-87
    • /
    • 2007
  • The performance of a stream water quality analysis model depends upon many factors attributed to the geological characteristics of a watershed as well as the distribution behaviors of pollutant itself on a surface of watershed. Because the model run has to import the pollution load from the watershed as a boundary condition along an interface between a stream water body and a watershed, it has been used to introduce a pollution delivery coefficient to behalf of the boundary condition of load importation. Although a nonlinear regression model (NRM) was developed to cope with the limitation of a conventional empirical way, this an up-to-date study has also a limitation that it can't be applied where the pollution load washed off (assumed at a source) is less than that delivered (observed) in a stream. The objective of this study is to identify what causes the limitation of NRM and to suggest how we can purify the process to evaluate a pollution delivery coefficient using many field observed cases. As a major result, it was found what causes the pollution load delivered to becomes bigger than that assumed at the source. In addition, the pollution load discharged to a stream water body from a specific watershed was calculated more accurately.

DNA 벤딩(휨) 없이 돌연변이 cAMP 수용체 단백질의 결합 (Mutant cAMP Receptor Protein Binds to DNA without DNA Bending)

  • 강종백
    • 생명과학회지
    • /
    • 제16권7호
    • /
    • pp.1225-1228
    • /
    • 2006
  • cAMP와 복합체를 형성한 cAMP 수용성 단백질은 DNA와 결합하여 ${\sim}90$도 정도의 예리한 DNA bending을 유도한다. 그러나 이전의 논문[5]에 의하면 돌연변이 CRP:cGMP 복합체는 돌연변이 CRP:cAMP 복합체보다 아크릴아미드 겔에서 상대적으로 빠른 이동속도를 보였다. CRP와 cyclic nucleotide 존재하에서 DNA의 구조 변화를 알아보기 위하여 6가지 준비된 DNA조각들을 사용하여 몰 고리화 인자(molar cyclization factor)[13]를 측정하였다. 이들 자료를 사용하여 nonlinear regression analysis를 통하여 cGMP 존재하에서 돌연변이 CRP는 DNA bending을 형성하지 않으나 CAMP 존재하에서 나선 꼬임과 같은 DNA 구조 변화없이 DNA bending을 형성한다.

Kinetic Biodegradation of Polycyclic Aromatic Hydrocarbons for Five Different Soils under Aerobic Conditions in Soil Slurry Reactors

  • Ha, Jeong Hyub;Choi, Suk Soon
    • 공업화학
    • /
    • 제32권5호
    • /
    • pp.581-588
    • /
    • 2021
  • In this study, soil slurry bioreactors were used to treat soils containing 16 polycyclic aromatic hydrocarbons (PAHs) for 35 days. Five different soil samples were taken from manufactured gas plant (MGP) and coal tar disposal sites. Soil properties, such as carbon content and particle distribution, were measured. These properties were significantly correlated with percent biodegradation and degradation rate. The cumulative amount of PAH degraded (P), degradation rate (Km), and lag phase (𝜆) constants of PAHs in different MGP soils for 16 PAHs were successfully obtained from nonlinear regression analysis using the Gompertz equation, but only those of naphthalene, anthracene, acenaphthene, fluoranthene, chrysene, benzo[k]fluoranthene, benzo(a)pyrene, and benzo(g,h,i)perylene are presented in this study. A comparison between total non-carcinogenic and carcinogenic PAHs indicated higher maximum amounts of PAH degraded in the former than that in the latter owing to lower partition coefficients and higher water solubilities (S). The degradation rates of total non-carcinogenic compounds for all soils were more than four times higher than those of total carcinogenic compounds. Carcinogenic PAHs have the highest partitioning coefficients (Koc), resulting in lower bioavailability as the molecular weight (MW) increases. Good linear relationships of Km, 𝜆, and P with the octanol-water partitioning coefficient (Kow), MW, and S were used to estimate PAH remaining, lag time, and biodegradation rate for other PAHs.

Development of new models to predict the compressibility parameters of alluvial soils

  • Alzabeebee, Saif;Al-Taie, Abbas
    • Geomechanics and Engineering
    • /
    • 제30권5호
    • /
    • pp.437-448
    • /
    • 2022
  • Alluvial soil is challenging to work with due to its high compressibility. Thus, consolidation settlement of this type of soil should be accurately estimated. Accurate estimation of the consolidation settlement of alluvial soil requires accurate prediction of compressibility parameters. Geotechnical engineers usually use empirical correlations to estimate these compressibility parameters. However, no attempts have been made to develop correlations to estimate compressibility parameters of alluvial soil. Thus, this paper aims to develop new models to predict the compression and recompression indices (Cc and Cr) of alluvial soils. As part of the study, geotechnical laboratory tests have been conducted on large number of undisturbed samples of local alluvial soil. The obtained results from these tests in addition to available results from the literature from different parts in the world have been compiled to form the database of this study. This database is then employed to examine the accuracy of the available empirical correlations of the compressibility parameters and to develop the new models to estimate the compressibility parameters using the nonlinear regression analysis. The accuracy of the new models has been accessed using mean absolute error, root mean square error, mean, percentage of predictions with error range of ±20%, percentage of predictions with error range of ±30%, and coefficient of determination. It was found that the new models outperform the available correlations. Thus, these models can be used by geotechnical engineers with more confidence to predict Cc and Cr.

Response modification factor of mixed structures

  • Fanaie, Nader;Shamlou, Shahab O.
    • Steel and Composite Structures
    • /
    • 제19권6호
    • /
    • pp.1449-1466
    • /
    • 2015
  • Mixed structures consist of two parts: a lower part and an upper part. The lower part is usually made of concrete while the upper part is made of steel. Analyzing these structures is complicated and code-based design of them has many associated problems. In this research, the seismic behavior of mixed structures which have reinforced concrete frames and shear walls in their lower storeys and steel frames with bracing in their upper storeys were studied. For this purpose, seventeen structures in three groups of 5, 9 and 15 storey structures with different numbers of concrete and steel storeys were designed. Static pushover analysis, linear dynamic analysis and incremental dynamic analysis (IDA) using 15 earthquake records were performed by OpenSees software. Seismic parameters such as period, response modification factor and ductility factor were then obtained for the mixed (hybrid) structures using more than 4600 nonlinear dynamic analysis and used in the regression analysis for achieving proper formula. Finally, some formulas, effective in designing such structures, are presented for the mentioned parameters. According to the results obtained from this research, the response modification factor values of mixed structures are lower compared to those of steel or concrete ones with the same heights. This fact might be due to the irregularities of stiffness, mass, etc., at different heights of the structure. It should be mentioned that for the first time, the performance and seismic response of such structures were studied against real earthquake accelerations using nonlinear dynamic analysis, andresponse modification factor was obtained by IDA.

회귀 매니폴드 3-D PCA 기반 새로운 이미지 분석 방법 (A New Image Analysis Method based on Regression Manifold 3-D PCA)

  • 이경민;인치호
    • 한국인터넷방송통신학회논문지
    • /
    • 제22권2호
    • /
    • pp.103-108
    • /
    • 2022
  • 본 논문에서는 회귀 매니폴드 3-D PCA 기반 새로운 이미지 분석 방법을 제안한다. 제안된 방법은 대용량 이미지 데이터 입력 시 효율적인 차원 축소를 위해 개선된 매니폴드 3-D PCA와 PCA의 비선형 확장이 가능한 오토인코더를 기반으로 설계된 구조로 회귀분석 알고리즘으로 구성된 새로운 이미지 분석 방법이다. 오토인코더의 구성으로는 이미지 픽셀 값을 3차원 회전을 통한 최전의 초평면을 도출하는 회귀 매니폴드 3-D PCA와 딥러닝 구조와 유사한 Bayesian Rule 구조를 적용한다. 성능 검증을 위해 실험을 수행한다. 미세먼지 이미지를 활용하여 이미지를 향상되며, 이를 분류 모델을 통한 정확도 성능 평가를 수행한다. 그 결과 딥러닝 성능에 유효함을 확인할 수 있다.