실선에 의한 표류 예측모델에 관한 연구
Study of estimated model of drift through real ship
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초록
표류 예측모델을 제시하기 위하여 표류시험을 수행하였으며, 이상치 및 영향점을 검증한 후 회귀분석을 하였다. DFFITS, Cook’s distance 분석결과, 표류속도의 경우 데이터 index 1, 27, 28, 72, 73, 74번째, 표류방향의 경우 index 2, 8, 68, 70, 71, 73, 74번째에서 회귀모형에 영향을 미치는 것으로 나타났다. 하지만, 회귀계수에 영향을 미치는 척도를 나타내는 DFBETAS 분석 결과, 표류속도에서는 index 1번째에서만 풍향의 DFBETAS 절대값이 임계값인 1을 초과하지만, 1에 가까우며 예측값에 대한 적합도에는 크게 영향이 미치지 않을 것으로 판단되어, 81개 샘플에 대해 다중회귀분석을 하는 데 크게 문제되지 않을 것으로 분석되었다. 예측 표류속도 및 표류방향의 예측값과 잔차의 분석 결과, 선형성과 독립성을 만족하였다. 독립변수의 다중 공선성은 10이하로 나타나 공선성이 전혀 없었으며, 잔차의 왜도 및 첨도에서도 임계값 이하로 나타났으며, omnibus 및 kolmogorv-smirnov 검정통계량도 만족하는 것으로 나타나 정규분포를 따른다고 할 수 있다. 다만, 잔차의 독립성을 나타내는 Durbin-Watson 검정통계량에서는 미흡한 점이 있지만, 양의 상관관계를 이루고 1에 가까우므로 큰 문제가 없다고 볼 수 있었다. 종속변수와 독립변수들 상관계수는 표류속도에서 유속이 0.49, 표류방향에서 유향이 0.81로 가장 높게 나타났다. 독립변수가 종속변수에 미치는 비율을 나타내는 표준회귀계수에서 표류속도는 유속이 47.1%, 표류방향에는 유향이 58.1%로 영향력이 가장 큰 변수로 나타났고, 도출한 다중회귀예측모델의 는 표류속도 69.3%, 표류방향 79.3%이며, 는 67.6%, 78.3%인 것으로 나타났다. 향후, 연구결과로 나타난 독립변수에 의한 표류속도/표류방향의 다중선형회귀모델을 추가적인 실험을 통하여 확인이 필요하다. 또한, 다양한 회귀모형을 적용하여 예측 정확도가 높은 모형 도출이 필요하다.
Abstract
In order to present a predictive drift model, Jeju National University's training ship was tested for about 11 hours and 40 minutes, and 81 samples that selected one of the entire samples at ten-minute intervals were subjected to regression analysis after verifying outliers and influence points. In the outlier and influence point analysis, although there is a part where the wind direction exceeds 1 in the DFBETAS (difference in Betas) value, the CV (cumulative variable) value is 6%, close to 1. Therefore, it was judged that there would be no problem in conducting multiple regression analyses on samples. The standard regression coefficient showed how much current and wind affect the dependent variable. It showed that current speed and direction were the most important variables for drift speed and direction, with values of 47.1% and 58.1%, respectively. The analysis showed that the statistical values indicated the fit of the model at the significance level of 0.05 for multiple regression analysis. The multiple correlation coefficients indicating the degree of influence on the dependent variable were 83.2% and 89.0%, respectively. The determination of coefficients were 69.3% and 79.3%, and the adjusted determination of coefficients were 67.6% and 78.3%, respectively. In this study, a more quantitative prediction model will be presented because it is performed after identifying outliers and influence points of sample data before multiple regression analysis. Therefore, many studies will be active in the future by combining them.
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