Empirical Examination of the Poisson Regression Residuals for the Evaluation of Influential Points

Table 1

Performance of Poisson regression residuals with different covariate distributions and p = 2.

Distribution of covariates	n	Chi	dev	Csrp	DFITsrp	Csrd	DFITsrd	CI	DFITI	Csra	DFITsra	Csrw	DIFTsrw
Normal (0, 1)	25	40.8	40.8	73.5	95.3	73.5	92.3	44.9	89.6	73.5	73.6	73.5	95.3
	50	25.9	25.9	71.5	96.1	71.5	93.1	54.1	93.7	71.5	71.5	71.5	96.1
	100	18.8	18.8	72.5	97.8	72.5	95	63	96.5	72.5	72.5	72.5	97.8
	200	14.8	14.8	73.2	98.1	73.2	96.4	67.9	97.5	73.2	73.2	73.2	98.1
Normal (10, 3)	25	22.6	22.6	54.4	89.1	54.4	82.7	36	85.6	54.4	54.5	54.4	89.1
	50	19.4	19.4	61.1	85	61.1	90.7	48.4	92.5	61.1	61.2	61.1	85
	100	13.3	13.3	62.3	96.1	62.3	93.6	55.5	95.3	62.3	62.3	62.3	96.1
	200	12.7	12.7	63.8	97.7	63.8	96.6	59.4	97.6	63.8	63.8	63.8	97.7
Gamma (0.5, 3)	25	81.5	81.5	92.5	97.6	92.5	96.6	48.4	88.1	92.5	92.5	92.5	97.6
	50	70.7	70.7	91.6	98.6	91.6	98.1	62	94.6	91.6	91.6	91.6	98.6
	100	61.8	61.8	91.9	99.9	91.9	99.2	72	97.5	91.9	91.9	91.9	99.9
	200	47.9	47.9	92.4	99.4	92.4	99.3	78.7	92.2	92.4	92.4	92.4	99.4
Poisson (0.5)	25	52.9	52.9	81	96.3	81	93.5	46.4	88.7	81	80.9	81	96.3
	50	33.8	33.8	74.7	97.2	74.7	94.3	55.7	93.2	74.7	74.8	74.7	97.2
	100	22.1	22.1	78.2	97.5	78.2	95.3	65.8	95.8	78.2	78.2	78.2	97.5
	200	14.9	14.9	73.3	98.1	73.3	96.4	68.8	97.1	73.3	73.3	73.3	98.1
Poisson (3)	25	39.7	39.7	70	93.6	70	89.5	46.2	88.1	70	70.1	70	93.6
	50	24	24	67.2	94.5	67.2	90.8	52.3	91.6	67.2	67.2	67.2	94.5
	100	14.9	14.9	68	96.8	68	94.4	57.5	95.9	68	68	68	96.8
	200	11.7	11.7	71.6	98	71.6	96	66.8	97.6	71.6	71.6	71.6	98