• 제목/요약/키워드: Spurious regression

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Some model misspecification problems for time series: A Monte Carlo investigation

  • Dong-Bin Jeong
    • Communications for Statistical Applications and Methods
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    • 제5권1호
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    • pp.55-67
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    • 1998
  • Recent work by Shin and Sarkar (1996) examines model misspecification problems for nonstationary time series. Shin and Sarkar introduce a general regression model with integrated errors and one system of integrated regressors and discuss the limiting distributions of the OLS estimators and the usual OLS statistics such as $\hat{\sigma^2}$t, DW and $R^2$. We analyze three different model misspecification problems through a Monte Carlo study and investigate each model misspecification problem. Our Monte Carlo experiments show that DW and $R^2$ can be in general used as diagnostic tools to detect spurious regression, misspecification of nonstationary autoregressive and polynomial regression models.

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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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    • 제26권3호
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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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Model Misspecification in Nonstationary Seasonal Time Series

  • Sung K. Ahn;Park, Young J.;Cho, Sin-Sup
    • Journal of the Korean Statistical Society
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    • 제27권1호
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    • pp.67-90
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    • 1998
  • In this paper we analytically study model misspecification that arises in regression analysis of nonstationary seasonal time series. We assume the underlying data generating process is a seasonally or a regularly and seasonally integrated process. We first study consequences of totally misspecified cases where seasonal indicator variables, a linear time trend, or another statistically independent seasonally integrated process are used as predictor variables in order to model the nonstationary seasonal behavior of the dependent variable. Then we study consequences of partially misspecified cases where the dependent variable and a predictor variable are cointegrated at some, but not all of the frequencies corresponding to the nonstationary roots.

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상태-공간 모형에서의 주가의 가성 평균-회귀 (Spurious Mean-Reversion of Stock Prices in the State-Space Model)

  • 최원혁;전덕빈;김동수;노재선
    • 한국경영과학회지
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    • 제36권1호
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    • pp.13-26
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    • 2011
  • In order to explain the U-shaped pattern of autocorrelations of stock returns i.e., autocorrelations starting around 0 for short-term horizons and becoming negative and then moving toward 0 for long-term horizons, researchers suggested the use of a state-space model consisting of an I(1) permanent component and an AR(1) stationary component, where the two components are assumed to be independent. They concluded that auto-regression coefficients derived from the state-space model follow a U-shape pattern and thus there is mean-reversion in stock prices. In this paper, we show that only negative autocorrelations are feasible under the assumption that the permanent component and the stationary component are independent in the state-space model. When the two components are allowed to be correlated in the state-space model, we show that the sign of the auto-regression coefficients is not restricted as negative. Monthly return data for all NYSE stocks for the period from 1926 to 2007 support the state-space model with correlated noise processes. However, the auto-regression coefficients of the ARIMA process, equivalent to the state-space model with correlated noise processes, do not follow a U-shaped pattern, but are always positive.

A Least Squares Regression Model to Detect Quantitative Trait Loci with Polar Overdominance in a Cross of Outbred Breeds: Simulation

  • Kim, Jong-Joo;Dekkers, Jack C.M.
    • Asian-Australasian Journal of Animal Sciences
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    • 제26권11호
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    • pp.1536-1544
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    • 2013
  • A least squares regression interval mapping model was derived to detect quantitative trait loci (QTL) with a unique mode of genomic imprinting, polar overdominance (POD), under a breed cross design model in outbred mammals. Tests to differentiate POD QTL from Mendelian, paternal or maternal expression QTL were also developed. To evaluate the power of the POD models and to determine the ability to differentiate POD from non-POD QTL, phenotypic data, marker data and a biallelic QTL were simulated on 512 F2 offspring. When tests for Mendelian versus parent-of-origin expression were performed, most POD QTL were classified as partially imprinted QTL. The application of the series of POD tests showed that more than 90% and 80% of medium and small POD QTL were declared as POD type. However, when breed-origin alleles were segregating in the grand parental breeds, the proportion of declared POD QTL decreased, which was more pronounced in a mating design with a small number of parents ($F_0$ and $F_1$). Non-POD QTL, i.e. with Mendelian or parent-of-origin expression (complete imprinting) inheritance, were well classified (>90%) as non-POD QTL, except for QTL with small effects and paternal or maternal expression in the design with a small number of parents, for which spurious POD QTL were declared.

Long-run Equilibrium Relationship Between Financial Intermediation and Economic Growth: Empirical Evidence from Philippines

  • MONSURA, Melcah Pascua;VILLARUZ, Roselyn Mostoles
    • The Journal of Asian Finance, Economics and Business
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    • 제8권5호
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    • pp.21-27
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    • 2021
  • The financial sector is one of the most important building blocks of the economy. When this sector efficiently implemented a well-crafted program on banking and financial system to translate financial activities to income-generating activity, economic growth will be realized. Hence, this study analyzed the effect of financial intermediation on economic growth and the existence of cointegrating relationship using time-series data from 1986 to 2015. The influence of financial intermediation in terms of bank credit to bank deposit ratio, private credit, and stock market capitalization and time trend to economic growth was estimated using ordinary least squares (OLS) multiple regression. The results showed that all the financial intermediation indicators and time trend exert significant effect on Gross Domestic Product (GDP) per capita. The positive sign of the time trend indicates that there is an upward trend in GDP per capita averaging approximately 0.06 percent annually. Furthermore, the cointegration test using the Johansen procedure revealed that there is a presence of long-term equilibrium relationship between financial intermediation and time trend and economic growth, and rules out spurious regression results. This study established the idea that financial intermediation in the Philippines has a significant and vital role in stimulating growth in the economy.

노인의 여가활동 유형과 여가활동이 생애만족도에 미치는 효과에 관한 연구 (An Empirical Study on the Patterns of Elderly Leisure Activities and their Effects on Life Satisfaction)

  • 김애련
    • 대한가정학회지
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    • 제35권6호
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    • pp.275-288
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    • 1997
  • This paper has two purposes. the one was to find empirical patterns of rural and urban elderly's leisure activities, and the other was to test the effects of elderly's leisure activities on life satisfaction. the data were collected for 319 respondents aged over 50s who resided in Jeonbuk rural and urban areas. Through exploratory factor analysis, we found ten patterns of leisure activities. In addition, we conducted multiple regression analysis to test net effects of those leisure activities on life satisfaction. the results indicate that even no one pattern of leisure activities significantly influences the elderly's life satisfaction, controlling for social correlates (consisted of social structural, family relationship, personality, and socio-economic demographic variables). Rather, the respondent's level of health, level of economic status, and positive relationship with adult children have significant net effects on respondent's life satisfaction. This result suggests that the positive relationship between leisure activities and life satisfaction in the existing empirical studies might be spurious. We recommend that the further studies should conduct survey and analyze the data for affluent elderly residing in more urbanized areas.

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비정태적 패널자료를 이용한 환경 쿠즈네츠가설에 대한 실증분석 - OECD 17 개국 사례분석 - (Panel Study on the Environmental Kuznets Hypothesis in the Case of OECD 17 Countries)

  • 조상섭;강신원;김동엽
    • 자원ㆍ환경경제연구
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    • 제10권4호
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    • pp.619-632
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    • 2001
  • The purpose of this study is to test the Kuznets Hypothesis on the relationship between environmental pollution and economic growth by using the panel data. The major results of the study can be summarized threefold as follows. First, previous studies can pose the risk of spurious regression because of the nature of non-stationery of the data used. Second, the result of the co-integration test indicates that the emission of $CO_2$ and per capita income are co-integrated. Finally, according to the results of OLS and DOLS estimation, the turning point in this study is set in far higher level of per capita income compared with those in previous studies.

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수산 관련 시계열 자료를 이용한 통계학적 분석에서의 자기상관에 대한 고찰 (Autocorrelation in Statistical Analyses of Fisheries Time Series Data)

  • 박영철;히야마 요시아끼
    • 한국수산과학회지
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    • 제35권3호
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    • pp.216-222
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    • 2002
  • 시계열자료가 가진 자기상관은 추정된 상관관계를 왜곡시키는 요인들 중의 하나로 작용한다. 회귀모형의 잔차항에 자기상관이 있는 지를 검정하기 위해 Durbin-Watson 통계량이 흔히 쓰인다. 잔차항에 자기상관을 가진 회귀모형의 효율성을 향상시키기 위해 yule-Walker 법, 비선형최소제곱법, 최우추정법 및 사전백색화법이 사용되어 왔다. 본 연구는 자기상관으로 인한 상관관계의 왜곡을 방지하기 위한 이들 방법들에 대해 고찰하였다. 사전백색화법을 제외한 앞의 3가지 방법을 20년간의 실제 시계열 자료에 적용하였으며 몬테카를로법을 이용하여 각 방법의 오차변이를 조사하였다. 각 방법의 평균잔차제곱분포의 경우, 최우추정법으로 추정된 평균잔차제곱이 가장 작았으며 분포 범위도 가장 작았으나 각 추정방법 사이에 유의한 차이가 발견되지는 않았다.

공적분 분석을 이용한 우리나라 수입수산물의 수요함수 추정 : 관세감축영향분석 (Estimation of Demand Functions for Imported Fisheries Products Using Cointegration Analysis: Effect Analysis of Tariff Reduction)

  • 남종오;김수진
    • Ocean and Polar Research
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    • 제32권1호
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    • pp.23-40
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    • 2010
  • This study investigated the effects of imported fisheries products on WTO/DDA tariff negotiations. To calculate the results, the study estimated the demand functions of imported fisheries products by using unit root and cointegration approaches. These approaches allowed us to solve spurious regression problems with macro-economic variables. In addition, this study surmised the effects of change by individually imported fish products from a tariff negotiation model using price elasticities of estimated import demand function. In a process of the analysis for estimating import effects, this study found out that 39 out of 128 imported fish products had positive (+) price elasticities or did not exhibit cointegrations. To cure this problem, this study suggested that the effects of these 39 imported products be estimated with the average variation rate of import volume, rather than by the Ordinary Least Squares approach. In this study, a case-study of tariff formula with coefficient 8 based on a 'Swiss formula' for priority duty rate of 2001 and 2008 was used by to analyze the effect of change in the 128 imported fish products of both years, respectively.