• Computers and Concrete
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• 제13권2호
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• pp.173-185
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• 2014

Multivariate analysis is a statistical technique that investigates relationship between multiple predictor variables and response variable and it is a very commonly used statistical approach in cement and concrete industry. During model building stage, however, many predictor variables are included in the model and possible collinearity problems between these predictors are generally ignored. In this study, use of partial least squares (PLS) analysis for evaluating the relationships among the cement and concrete properties is investigated. This regression method is known to decrease the model complexity by reducing the number of predictor variables as well as to result in accurate and reliable predictions. The experimental studies showed that the method can be used in the multivariate problems of cement and concrete industry effectively.

• 보건행정학회지
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• 제10권2호
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• pp.1-21
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• 2000

This study reviewde various parametic and nonparametic method for forexasting hospital closures in Korea. We compared multivariate discriminant analysis, multivartiate logistic regression, classfication and regression tree, and neural network method based on hit ratio of each model for forecasting hospital closure. Like other studies in the literture, neural metwork analysis showed highest average hit ratio. For policy and business purposes, we combined the four analytical method and constructed a foreasting model that can be easily used to predict the probabolity of hospital closure given financial information of a hospital.

• Geomechanics and Engineering
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• 제21권6호
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• pp.583-598
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• 2020

This study is attempted to propose a new hybrid artificial intelligence model called integrative genetic algorithm with multivariate adaptive regression splines (GA-MARS) for settlement prediction of shallow foundations on sandy soils. In this hybrid model, the evolution algorithm - Genetic Algorithm (GA) was used to search and optimize the hyperparameters of multivariate adaptive regression splines (MARS). For this purpose, a total of 180 experimental data were collected and analyzed from available researches with five-input variables including the bread of foundation (B), length to width (L/B), embedment ratio (D_f/B), foundation net applied pressure (q_net), and average SPT blow count (N_SPT). In further analysis, a new explicit formulation was derived from MARS and its accuracy was compared with four available formulae. The attained results indicated that the proposed GA-MARS model exhibited a more robust and better performance than the available methods.

• Communications for Statistical Applications and Methods
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• 제31권2호
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• pp.179-189
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• 2024

In multivariate regression with a high-dimensional response Y ∈ ℝ^r and a relatively low-dimensional predictor X ∈ ℝ^p (where r ≥ 2), the statistical analysis of such data presents significant challenges due to the exponential increase in the number of parameters as the dimension of the response grows. Most existing dimension reduction techniques primarily focus on reducing the dimension of the predictors (X), not the dimension of the response variable (Y). Yoo and Cook (2008) introduced a response dimension reduction method that preserves information about the conditional mean E(Y | X). Building upon this foundational work, Yoo (2018) proposed two semi-parametric methods, principal response reduction (PRR) and principal fitted response reduction (PFRR), then expanded these methods to unstructured principal fitted response reduction (UPFRR) (Yoo, 2019). This paper reviews these four response dimension reduction methodologies mentioned above. In addition, it introduces the implementation of the mbrdr package in R. The mbrdr is a unique tool in the R community, as it is specifically designed for response dimension reduction, setting it apart from existing dimension reduction packages that focus solely on predictors.

• 응용통계연구
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• 제37권1호
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• pp.1-12
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• 2024

동일한 설명변수 집합에 여러 개의 반응 변수들이 종속되어 있는 경우를 많은 실제 자료에서 볼 수 있다. 특히, 여러 개의 반응변수가 서로 상관관계를 가지고 있으면 각각의 반응변수에 대한 개별적인 분석보다는 반응변수들 사이의 상관관계를 고려한 동시 추정(simultaneous estimation)이 매우 효과적이다. 이러한 다변량 회귀분석에서 최소거리추정량(least distance estimator; LDE)은 반응변수들간의 상관관계를 모형 적합 과정에 반영하여 다차원 유클리드 공간에서 각 훈련 개체와 추정값 사이의 거리를 최소화하도록 회귀계수들을 동시에 추정한다. 뿐만 아니라 최소거리추정량은 이상치에 대한 강건성을 제공한다. 본 논문에서는 다변량 선형 회귀분석에서의 최소거리추정법에 대해 살펴보고, 나아가 효율적인 변수선택을 위한 벌점화 최소거리추정량을 제시하였다. 본 연구에서 제안하는 adaptive group LASSO 벌점항을 적용한 AGLDE 기법은 반응변수들간의 상관관계를 모형 적합에 반영함과 동시에 설명변수의 중요도에 따라 효율적으로 변수선택을 수행할 수 있다. 제안 방법의 유용성은 모의실험과 실제 자료 분석을 통해 확인하였다.

• 응용통계연구
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• 제13권2호
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• pp.383-392
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• 2000

1970년대 후반부터 영향력이 있는 관측값을 검출하기 위해서 회귀분석을 포함한 다양한 다변량 해석법에서의 영향분석 및 감도분석에 대한 연구가 진행되어 왔다. 결손 값이 포함된 불완전한 자료에 관해서도 이러한 연구가 필요하다. 이와 관련하여 Kim et al.(1998)등은 평균벡터와 분산공분산행렬에 대한 최우추정값에 초점을 두고 불완전한 자료에 대한 다변량 해석법에서의 감도분석에 관한 방법적 연구를 다루었다. Kim et al.(1998)에서는 Cook’s D 통계량을 이용하였으나, 본 논문에서는 결손값이 있는 다변량 자료에 대해서 주성분을 이용하여 영향력이 있는 관측값을 검출하는 방법에 대해서 살펴보았다. 이 때, 결손값은 EM알고리즘에 의해 대치하여 PCA 통계량을 유도하였다.

• The Journal of Asian Finance, Economics and Business
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• 제6권1호
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• pp.59-69
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• 2019

The auditor, an important instrument of corporate governance, ensures the transparency and accountability of the firm to the stakeholders. The objective of this paper is to explore the impact of audit characteristics on firm performance. In this study, external audit quality (BIG4), frequencies of audit committee meetings, and audit committee size are used as the proxies of audit characteristics and firm performance is measured through ROA, profit margin and EPS. A total of 503 firm years are considered as sample size from the listed manufacturing firms of Dhaka Stock Exchange (DSE) during the period of 2013 to 2017 to find out the impact of audit characteristics on firm performance. In this study, multivariate regression analysis is conducted using the pooled OLS method. Moreover, time dummy and lag model of multivariate analysis are also analyzed as robust check. The multivariate regression results find that external audit quality (BIG4) and audit committee size are significantly positively associated with firm performance. This study also finds that there is a significant negative relationship between audit committee meeting and firm performance. This study recommends that the regulatory authority and audit committee should review the frequencies of audit committee meeting to make it more effective to ensure better firm performance.

• Communications for Statistical Applications and Methods
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• 제19권3호
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• pp.471-478
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• 2012

In this paper, we present a permutation test to select the number of pairs of canonical variates in canonical correlation analysis. The existing chi-squared test is known to be limited to normality in use. We compare the existing test with the proposed permutation test and study their asymptotic behaviors through numerical studies. In addition, we connect canonical correlation analysis to regression and we we show that certain inferences in regression can be done through canonical correlation analysis. A regression analysis of real data through canonical correlation analysis is illustrated.

• Asia pacific journal of information systems
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• 제15권2호
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• pp.51-63
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• 2005

There has been substantial research into the bankruptcy prediction. Many researchers used the statistical method in the problem until the early 1980s. Since the late 1980s, Artificial Intelligence(AI) has been employed in bankruptcy prediction. And many studies have shown that artificial neural network(ANN) achieved better performance than traditional statistical methods. However, despite ANN's superior performance, it has some problems such as overfitting and poor explanatory power. To overcome these limitations, this paper suggests a relatively new machine learning technique, support vector machine(SVM), to bankruptcy prediction. SVM is simple enough to be analyzed mathematically, and leads to high performances in practical applications. The objective of this paper is to examine the feasibility of SVM in bankruptcy prediction by comparing it with ANN, logistic regression, and multivariate discriminant analysis. The experimental results show that SVM provides a promising alternative to bankruptcy prediction.

• Asian Pacific Journal of Cancer Prevention
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• 제13권8호
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• pp.3967-3971
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• 2012

Aims: To explore the relationship between various molecular makers and liver metastasis of colorectal cancer (CRC). Method: Using immunohistochemistry, protein expression of CEA, nm23, c-met, MMP2, COX-2, VEGF, EGFR, and CD44 was assessed in 80 CRC cases. The Chi-square test and logistic regression were performed to analyze the relationship between these indicators and CRC liver metastasis. Results: There were significant differences in expression of CEA, MMP2, CD44, VEGF and EGFR between the liver metastasis and non metastasis groups (P < 0.05); no significant differences were noted for nm23, c-met, and COX-2 expression. Logistic regression analysis showed that only CEA, VEGF, and EGFR entered into the regression equation, and had significant correlations with CRC liver metastasis (${\alpha}$ inclusion= 0.10, ${\alpha}$ elimination = 0.15, R2 = 0.718). Conclusions: Combination detection of CEA, VEGF, and EGFR may be an effective means to predict CRC liver metastasis. Nm23, c-met, MMP2, COX-2, and CD44, in contrast, are not suitable as prognostic markers.