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  • XTTEST4: Stata module to calculate heteroskedasticity tests for fixed-T panel data models

    Hello everyone,

    I'd like to introduce a new STATA command called xttest4, now available on SSC. Thanks to Prof. Kit Baum.
    Code:
    ssc install xttest4, replace
    xttest4 provides heteroskedasticity tests for fixed-T panel data models
    • For fixed-effects models (FEM), xttest4 performs tests based on the artificial regression proposed by Juhl & Sosa-Escudero (2014). This includes two tests with alternative hypotheses corresponding to heteroskedasticity in cross-section units and heteroskedasticity in cross-section units and/or periods. When option kezdi is specified, xttest4 reports the test statistics proposed by Kezdi (2003), providing information on selecting the appropriate standard error form for FEM.
    • For Random-effects models (REM), xttest4 performs tests based on the artificial regression proposed by Montes-Rosa & Sosa-Escudero (2011). Where, marginal and joint test statistics for homogeneity of error components are reported along with degrees of freedom and p-value.
    Here are some examples:

    Code:
    . webuse abdata, clear
    
    . qui xtreg n k w ys if id <=100, fe
    
    . xttest4
    
    Test for heteroscedasticity in fixed-T panel data models
    Model: Fixed-effects
    H0:    Var(e_it  X_i, u_i) = sigma^2
    
    H1                Statistic     df    P-value
    
    sigma_it^2           16.125      3      0.001
    sigma_i^2            10.294      3      0.016
    
    
    . qui xtreg n k w ys, fe
    
    . xttest4, kezdi
    
    Test for heteroscedasticity in fixed-T panel data models
    
    Hypothesis         Statistic    df     P-value
    
    H2 vs. Ha           26.734      7      0.000
    H3 vs. Ha           24.862      7      0.001
    
    H1 is missing due to unbalanced data
    H2: Serially uncorrelated: e_it, x_it or both
    H3: Homoskedasticity and serially uncorrelated
    Ha: Heteroskedasticity
    
    
    . qui xtreg n c.(k w ys)##c.(k w ys), re
    
    . xttest4
    
    Test for heteroscedasticity in fixed-T panel data models
    Model: Random-effects
    H1:    Var(u_i + e_it  X_i) = sigma_it^2
    
    Null hypothesis (H0)    Statistic     df    P-value
    
    sigma_e^2  sigma_u^2     200.213      9      0.000
    sigma_u^2  sigma_e^2      11.991      9      0.214
    sigma_e^2 & sigma_u^2     212.204     18      0.000

    Manh Hoang-Ba,
    Facebook,
    Eureka! Uni - YouTube,
    ManhHB94 (Manh Hoang Ba),
    Hoàng Bá Mạnh – Kinh tế lượng: Lý thuyết và ứng dụng

  • #2
    xttest4 has been updated to fix a calculation error in the LM2 (system homoscedastic case) statistic.
    Users should run the following command to update.
    Code:
    ado update xttest4, update
    Manh Hoang-Ba,
    Facebook,
    Eureka! Uni - YouTube,
    ManhHB94 (Manh Hoang Ba),
    Hoàng Bá Mạnh – Kinh tế lượng: Lý thuyết và ứng dụng

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