Optimal Tolerance Design and Optimization for a Pharmaceutical Quality Characteristic

Table 7

ANOVA of the correlation coefficient of y and t (𝜌_𝑦𝑡).

Predictor	Coef	SE Coef	𝑇		𝑃
Constant	0.8579	0.0167	51.14		0.000
𝑥1	−0.0129	0.0111	−1.17		0.270
𝑥2	0.0061	0.0111	0.55		0.595
𝑥3	0.0044	0.0111	0.40		0.696
𝑥1𝑥2	0.0138	0.0145	0.95		0.363
𝑥1𝑥3	0.0751	0.0145	5.17		0.000
𝑥2𝑥3	0.0068	0.0145	0.47		0.647
𝑥1𝑥1	0.0180	0.0108	1.66		0.127
𝑥2𝑥2	0.0325	0.0108	3.00		0.013
𝑥3𝑥3	−0.0155	0.0108	−1.44		0.181
𝑆=0.0411335	𝑅^2 = 81.5%		𝑅^2 (adj) = 64.8%
Analysis of variance
Source	DF	SS	MS	𝐹	𝑃
Regression	9	0.074522	0.00828	4.89	0.01
Residual error	10	0.01692	0.001692
Total	19	0.091441