True model/

Working

correlation

Estimate

Statistic

Coverage Probabilities

95% level

99% level

GEE

EL

EEL

AEL

GEE

EL

EEL

AEL

IND/IND

ρ = 0.50

β ^ 1

0.3971

0.836

0.906

0.909

0.913

0.930

0.963

0.975

0.971

(0.103)

(0.281)

(0.357)

(0.367)

(0.369)

(0.369)

(0.479)

(0.512)

(0.501)

β ^ 2

0.4988

0.838

0.904

0.926

0.926

0.928

0.966

0.978

0.976

(0.101)

(0.281)

(0.350)

(0.370)

(0.372)

(0.369)

(0.473)

(0.513)

(0.502)

AR(1)/AR(1)

ρ = 0.50

β ^ 1

0.3954

0.805

0.923

0.934

0.934

0.910

0.971

0.973

0.977

(0.157)

(0.397)

(0.587)

(0.610)

(0.613)

(0.522)

(0.783)

(0.827)

(0.814)

β ^ 2

0.4986

0.807

0.935

0.942

0.944

0.913

0.975

0.983

0.980

(0.154)

(0.397)

(0.593)

(0.610)

(0.613)

(0.522)

(0.784)

(0.827)

(0.815)

AR(1)/Lag

ρ = 0.50

β ^ 1

0.3949

0.790

0.918

0.931

0.932

0.902

0.971

0.980

0.977

(0.156)

(0.391)

(0.581)

(0.601)

(0.604)

(0.513)

(0.772)

(0.816)

(0.803)

β ^ 2

0.4983

0.801

0.924

0.937

0.937

0.911

0.977

0.986

0.983

(0.152)

(0.391)

(0.581)

(0.602)

(0.604)

(0.513)

(0.714)

(0.818)

(0.805)

EQC/EQC

ρ = 0.50

β ^ 1

0.3970

0.885

0.927

0.940

0.943

0.953

0.981

0.989

0.987

(0.143)

(0.444)

(0.570)

(0.590)

(0.593)

(0.584)

(0.759)

(0.803)

(0.790)

β ^ 2

0.4935

0.893

0.943

0.955

0.955

0.960

0.984

0.991

0.990

(0.140)

(0.444)

(0.565)

(0.585)

(0.588)

(0.584)

(0.753)

(0.798)

(0.785)

EQC/Lag

ρ = 0.50

β ^ 1

0.3973

0.811

0.928

0.935

0.941

0.902

0.981

0.989

0.987

(0.143)

(0.371)

(0.568)

(0.588)

(0.591)

(0.487)

(0.756)

(0.800)

(0.787)

β ^ 2

0.4940

0.812

0.941

0.953

0.956

0.928

0.986

0.990

0.989

(0.140)

(0.371)

(0.562)

(0.583)

(0.586)

(0.487)

(0.750)

(0.795)

(0.782)

MA(1)/MA(1)

ρ = 0.50

β ^ 1

0.3996

0.802

0.935

0.941

0.942

0.897

0.976

0.984

0.981

(0.144)

(0.363)

(0.563)

(0.584)

(0.587)

(0.477)

(0.750)

(0.796)

(0.782)

β ^ 2

0.4974

0.808

0.949

0.955

0.955

0.917

0.985

0.991

0.989

(0.139)

(0.363)

(0.560)

(0.580)

(0.583)

(0.477)

(0.747)

(0.792)

(0.779)

MA(1)/Lag

ρ = 0.50

β ^ 1

0.3997

0.802

0.932

0.943

0.943

0.906

0.977

0.983

0.982

(0.144)

(0.366)

(0.561)

(0.582)

(0.585)

(0.481)

(0.748)

(0.794)

(0.780)

β ^ 2

0.4980

0.808

0.948

0.960

0.960

0.921

0.985

0.991

0.989

(0.138)

(0.366)

(0.558)

(0.578)

(0.581)

(0.481)

(0.745)

(0.791)

(0.777)