• Title/Summary/Keyword: 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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    • v.5 no.1
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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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    • 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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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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    • v.27 no.1
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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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Spurious Mean-Reversion of Stock Prices in the State-Space Model (상태-공간 모형에서의 주가의 가성 평균-회귀)

  • Choi, Won-Hyeok;Jun, Duk-Bin;Kim, Dong-Soo;Noh, Jae-Sun
    • Journal of the Korean Operations Research and Management Science Society
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    • v.36 no.1
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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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    • v.26 no.11
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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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    • v.8 no.5
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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.

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

  • 김애련
    • Journal of the Korean Home Economics Association
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    • v.35 no.6
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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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Panel Study on the Environmental Kuznets Hypothesis in the Case of OECD 17 Countries (비정태적 패널자료를 이용한 환경 쿠즈네츠가설에 대한 실증분석 - OECD 17 개국 사례분석 -)

  • Cho, Sang-Sup;Kang, Shin-Won;Kim, Dong-Yeub
    • Environmental and Resource Economics Review
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    • v.10 no.4
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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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Autocorrelation in Statistical Analyses of Fisheries Time Series Data (수산 관련 시계열 자료를 이용한 통계학적 분석에서의 자기상관에 대한 고찰)

  • Park Young Cheol;Hiyama Yoshiaki
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.35 no.3
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    • pp.216-222
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    • 2002
  • Autocorrelation in time series data can affect statistical inference in correlation or regression analyses. To improve a regression model from which the residuals are autocorrelated, Yule-Walker method, nonlinear least squares estimation, maximum likelihood method and 'prewhitening' method have been used to estimate the parameters in a regression equation. This study reviewed on the estimation methods of preventing spurious correlation in the presence of autocorrelation and applied the former three methods, Yule-Walker, nonlinear least squares and maximum likelihood method, to a 20-year real data set. Monte carlo simulation was used to compare the three parameter estimation methods. However, the simulation results showed that the mean squared error distributions from the three methods simulated do not differ significantly.

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

  • Nam, Jong-Oh;Kim, Soo-Jin
    • Ocean and Polar Research
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    • v.32 no.1
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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.