Table 3:

Correlation structure selection frequencies and empirical standard deviations (ESD) of ${\widehat{\beta }}_2$ for the setting in which the true structure is Unstructured and 100 subjects each contribute 3 observations.

		Selection Frequencies
Structures of Interest	Criterion	Independence (ESD=0.21)	Exchangeable (ESD=0.16)	AR-1 (ESD=0.13)	Toeplitz (ESD=0.12)	Unstructured (ESD=0.12)	Criterion ESD*
IEATU	TECMW	0	0	60	260	680	0.12
	CICW	0	0	155	348	497	0.12
	CICHH	0	0	232	671	97	0.12
	CICSH	0	0	326	626	48	0.12
	EAIC	0	0	8	359	633	0.12
	EBIC	0	0	69	566	365	0.12
	AGP	0	0	26	346	628	0.12
	BGP	0	0	48	419	533	0.12
IEA	TECMW	0	0	1000			0.13
	CICW	0	0	1000			0.13
	CICHH	0	0	1000			0.13
	CICSH	0	0	1000			0.13
	EAIC	0	0	1000			0.13
	EBIC	0	0	1000			0.13
	AGP	0	0	1000			0.13
	BGP	0	0	1000			0.13
EATU	TECMW		0	60	260	680	0.12
	CICW		0	155	348	497	0.12
	CICHH		0	232	671	97	0.12
	CICSH		0	326	626	48	0.12
	EAIC		0	8	359	633	0.12
	EBIC		0	69	566	365	0.12
	AGP		0	26	346	628	0.12
	BGP		0	48	419	533	0.12

^*empirical standard deviations (ESD) of ${\widehat{\beta }}_2$ resulting from use of the given criterion and penalty

TECMW - trace of the empirical covariance matrix with Westgate penalty

CIC_W - correlation information criterion with Westgate penalty

CIC_HH - correlation information criterion with Hardin and Hilbe penalty

CICS_H - correlation information criterion with Shults and Hilbe penalty

EAIC - empirical likelihood AIC-based criterion with penalty

EBIC - empirical likelihood BIC-based criterion with penalty

AGP - AIC-based gaussian pseudolikelihood criterion with penalty

BGP - BIC-based gaussian pseudolikelihood criterion with penalty

IEATU - All 5 structures are considered for selection

IEA - Only independence, exchangeable, and AR-1 are considered for selection

EATU - All structures except for independence are considered for selection