Table 3.

Estimated coefficients in the Eating at American’s Table Study

	τ	Raw		Multiple imputation			Shrinkage
Covariates		β̂	$\widehat{se}$	β̃	$\widehat{se}$	$\widehat{re}$ (%)	β̂(s)	$\widehat{se}$	$\widehat{re}$ (%)
	0·1	0·08	0·06	0·04	0·06	99	0·06	0·06	104
Carbohydrate intake	0·5	0·27	0·04	0·24	0·03	109	0·27	0·03	102
	0·9	0·60	0·07	0·48	0·07	112	0·59	0·07	101
	0·1	−0·94	0·88	−0·84	0·91	94	−0·85	0·90	96
Body mass index	0·5	−1·68	0·54	−1·63	0·54	99	−1·63	0·54	100
	0·9	−0·70	1·20	−0·35	1·21	98	−0·51	1·19	101
	0·1	−0·53	0·36	−0·39	0·35	108	−0·42	0·33	117
Age	0·5	−0·86	0·28	−1·00	0·24	136	−0·95	0·25	132
	0·9	−1·38	0·62	−1·71	0·51	147	−1·54	0·55	126
	0·1	5·95	14·43	14·95	12·57	132	11·61	12·02	144
Caucasian	0·5	4·67	10·87	6·22	8·38	168	6·16	8·37	169
	0·9	−38·45	41·02	−1·39	25·57	257	−27·91	35·76	132
	0·1	−47·34	11·03	−38·34	10·25	116	−43·20	10·11	119
Gender	0·5	−73·48	8·27	−66·90	7·05	137	−70·77	7·57	119
	0·9	−108·07	15·58	−114·92	12·96	145	−113·41	13·59	131

$\widehat{se}$, standard errors following the estimation method described in Appendix A2; $\widehat{re}$, relative efficiency, which is defined as the ratio between the estimated variance of the complete-data estimator and that of the multiple imputation/shrinkage estimates.