• Title/Summary/Keyword: Durbin-Watson statistics

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Durbin-Watson Type Unit Root Test Statistics

  • Kim, Byung-Soo;Cho, Sin-Sup
    • Journal of the Korean Statistical Society
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    • v.27 no.1
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    • pp.57-66
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    • 1998
  • In the analysis of time series it is an important issue to determine whether a time series under study is stationary. For the test of the stationary of the time series the Dickey-Fuller (DF) type tests have been mainly used. In this paper, we consider the regular unit root tests and seasonal unit root tests based on the generalized Durbin-Watson (DW) statistics when the errors are independent. The limiting distributions of the proposed DW-type test statistics are the functionals of standard Brownian motions. We also obtain the finite distributions and powers of the DW-type test statistics and compare the performances with the DF-type tests. It is observed that the DW-type test statistics have good behaviors against the DF-type test statistics especially in the nonzero (seasonal) mean model.

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Generalized Durbin-Watson Statistics in the Nonstationary Seasonal Time Series Model

  • Cho, Sin-Sup;Kim, Byung-Soo;Park, Young J.
    • Journal of the Korean Statistical Society
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    • v.26 no.3
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    • pp.365-382
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    • 1997
  • In this paper we study the behaviors of the generalized Durbin-Watson (DW) statistics when the nonstationary seasonal time series regression model is misspecified. It is observed that when the series is seasonally integrated the generalized DW statistic for the seasonal period order autocorrelation converges in probability to zero while teh generalized DW statistic for the first order autocorrelation has nondegenerate asymptotic distribution. When the series is regularly and seasonally integrated the generalized DW for the first order autocorrelation still converges in probability to zero.

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Remarks on correlated error tests

  • Kim, Tae Yoon;Ha, Jeongcheol
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.2
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    • pp.559-564
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    • 2016
  • The Durbin-Watson (DW) test in regression model and the Ljung-Box (LB) test in ARMA (autoregressive moving average) model are typical examples of correlated error tests. The DW test is used for detecting autocorrelation of errors using the residuals from a regression analysis. The LB test is used for specifying the correct ARMA model using the first some sample autocorrelations based on the residuals of a tted ARMA model. In this article, simulations with four data generating processes have been carried out to evaluate their performances as correlated error tests. Our simulations show that the DW test is severely dependent on the assumed AR(1) model but isn't sensitive enough to reject the misspecified model and that the LB test reports lackluster performance in general.

Assessment of Properties of Error Terms in Design of Experiment (실험계획법에서 오차항의 가정 검토방안)

  • Choe, Seong-Un
    • Proceedings of the Safety Management and Science Conference
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    • 2012.04a
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    • pp.579-583
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    • 2012
  • The Design of Experiment (DOE) is a most practical technique when establishing an optimal condition for production technology in Six Sigma innovation project. This research proposes the assessment of properties of error terms, such as normality, equal variance, unbiasedness and independence. The properties of six nonparametric ranking techniques for checking normality assumption are discussed as well as run test which is used to identify the randomness, and to check unbiased assumption. Furthermore, Durbin-Watson (DW) statistics and ARIMA (p,d,q) process are discussed to identify the serial correlation.

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Estimating Automobile Insurance Premiums Based on Time Series Regression (시계열 회귀모형에 근거한 자동차 보험료 추정)

  • Kim, Yeong-Hwa;Park, Wonseo
    • The Korean Journal of Applied Statistics
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    • v.26 no.2
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    • pp.237-252
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    • 2013
  • An estimation model for premiums and components is essential to determine reasonable insurance premiums. In this study, we introduce diverse models for the estimation of property damage premiums(premium, depth and frequency) that include a regression model using a dummy variable, additive independent variable model, autoregressive error model, seasonal ARIMA model and intervention model. In addition, the actual property damage premium data was used to estimate the premium, depth and frequency for each model. The estimation results of the models are comparatively examined by comparing the RMSE(Root Mean Squared Errors) of estimates and actual data. Based on real data analysis, we found that the autoregressive error model showed the best performance.

A Bayesian Test for First Order Autocorrelation in Regression Errors : An Application to SPC Approach (회귀모형 오차항의 1차 자기상관에 대한 베이즈 검정법 : SPC 분야에의 응용)

  • Kim, Hea-Jung;Han, Sung-Sil
    • Journal of Korean Society for Quality Management
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    • v.24 no.4
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    • pp.190-206
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    • 1996
  • In case measurements are made on units of production in time order, it is reasonable to expect that the measurement errors will sometimes be first order autocorrelated, and a technique to test such autocorrelation is required to give good control of the productive process. Tool-wear process provide an example for which regression model can sometimes be useful in modeling and controlling the process. For the control of such process, we present a simple method for testing first order autocorrelation in regression errors. The method is based on Bayesian test method via Bayes factor and derived by observing that in general, a Bayes factor can be written as the product of a quantity called the Savage-Dickey density ratio and a correction factor ; both terms are easily estimated from Gibbs sampling technique. Performance of the method is examined by means of Monte Carlo simulation. It is noted that the test not only achieves satisfactory power but eliminates the inconvenience occurred in using the well-known Durbin-Watson test.

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A Study on the Maintenance Cost Estimation Model of the Apartment Housing (공동주택의 관리비 추정모델 연구)

  • Lee, Kang-Hee;Yang, Jae-Hyuk;Chae, Chang-U
    • Journal of the Korean housing association
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    • v.21 no.2
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    • pp.59-67
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    • 2010
  • The maintenance cost plays a important role to plan the scale of the apartment housing such as a number of household, building area and building type. Therefore, it is required to forecast the cost considering various maintenance characteristics. The maintenance characteristics are floor area, number of household, heating type, site area and etc.. In addition, the maintenance cost are classified into 5 area. These are a personal expense, facility maintenance cost, energy and water cost, insurance and sanitary cost. These five cost area are related with various characteristics and brought up the estimation model using the stepwise multiple regression analysis. The energy and heating cost share over the 50% in the total cost and the personal expense cost shares about 40%. The personal expense cost per area is 5,272 won/$m^2{\cdot}yr$ irregardless of heating type and the district heating type is a higher cost than other type. In facility maintenance cost, the central heating type is 2,015 won/$m^2{\cdot}yr$ and higher than other type. The estimation models have good statistics in each model. Most of the model have a determination coefficient over 0.7 and Durbin Watson value between 1.5 and 2.5.

The Relationship between Ownership Structure and Conservatism of Companies in Iran

  • Salehi, Mahdi;Abedini, Bizhan;Bahrani, Razieh
    • Journal of Distribution Science
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    • v.12 no.5
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    • pp.27-32
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    • 2014
  • Purpose - Since Iran's economy is only now developing, and its stock market is only now emerging, we should deal with the relationship between ownership structure and conservative accounting of companies to see whether such a relationship exists in Iran's market. This study aims to investigate the relationship between ownership structure and accounting conservatism of listed companies on the Tehran Stock Exchange. Research design, data, and methodology - All listed companies on the Tehran Stock Exchange, for which the required information financial statements (balance sheet, profit and loss account) could be acquired for the period 2007-2012, were studied. A total of 123 companies from various industries was selected. Results - In order to test the hypotheses, multi variate regression (inter procedure), with their meaningful t- and f-statistics, and a Durbin-Watson autocorrelation model were used. Conclusions - The research results show that the ownership of major shareholders and ownership concentration have a negative significant relationship with accounting conservatism. Therefore, as a significant negative relationship between concentration of ownership and accounting conservatism at the 95% confidence level was found, the second hypothesis was confirmed.

The Factors Affecting the Population Outflow from Busan to the Seoul Metropolitan Area (지역별 수도권으로의 인구유출에 영향을 미치는 요인 연구: 부산시 사례를 중심으로)

  • LIM, Jaebin;Jeong, Kiseong
    • Land and Housing Review
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    • v.12 no.2
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    • pp.47-59
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    • 2021
  • This study aims to review the trends of the population outflows in the metropolitan area of Busan and to investigate the factors that affect population out-migration to the Seoul metropolitan area. The following variables are considered for analysis: traditional population movement variables and quality of life variables, such as population, society, employment, housing, culture, safety, medical care, greenery, education, and childcare. The 'domestic population movement data', provided by the MDIS of the National Statistical Office, was used for this research. Out of the total of 57 million population movement data in the period 2012 - 2017, population outmigration from Busan to the Seoul metropolitan area was extracted. Independent variables were drawn from public data sources in accordance with the temporal and spatial settings of the study. The multiple linear regression model was specified based on the dataset, and the fit of the model was measured by the p-value, and the values of Adjusted R2, Durbin-Watson analysis, and F-statistics. The results of the analysis showed that the variables that have a significant effect on population movement from Busan to the Seoul metropolitan area were as follows: 'single-person households', 'the elderly population', 'the total birth rate', 'the number of companies', 'the number of employees', 'the housing sales price index', 'cultural facilities', and 'the number of students per teacher'. More positive (+) influences of the population out-movement were observed in areas with higher numbers of single-person households, lowers proportions of the elderly, lower numbers of businesses, higher numbers of employees, higher numbers of housing sales, lower numbers of cultural facilities, and lower numbers of students. The findings suggest that policies should enhance the environments such as quality jobs, culture, and welfare that can retain young people within Busan. Improvements in the quality of life and job creation are critical factors that can mitigate the outflows of the Busan residents to the Seoul metropolitan area.