Region of acceptance

Figure 17-3 The relationship between the expected value of the statistic and the lines separating the regions of acceptance and rejection from the region indicating continuation of the experiment.

Figure 7.82 Operating diagram for the blow molding of HDPE. Arrows indicate regions of acceptable operation. From Z. Tadmor and C. G. Gogos, Principles of Polymer Processing, Copyright 1979 by John Wiley Sons, Inc. This material is used by permission of John Wiley Sons, Inc.

Fig. 1. Schematic representation of the restrained optimization scheme, where the set of MO coefficients is guided toward the region of acceptable local spin values. Reprinted with permission from Herrmann, C., Podewitz, M., Reiher, M. Int. J. Quantum Chem. 2009, 109, 2430-2446. Copyright 2009 John Wiley and Sons.

Here we have omitted the continuity correction. This is permissible for large sample sizes. In addition, the method used here is only approximate because it assumes the variance is constant regardless of Hj. If H1 p=50 were true and H0 thereby false, the curve for Hj in Fig. 1.7 would be the correct one but the limits 34.7 and 61,3 still define the region of acceptance of H0. Because H0 would be accepted when Hj is true if X falls between (34.7 61.3), then the area under the curve Hj between these limits is (3, which is the probability of a type II error. The area is labeled in Fig. 1.7. To determine this area, we use the original limits with the curve for Hx to determine the standardized limits of the (3 region. 

Fig. 14. Comparison of antiproton and proton stopping cross section in atomic hydrogen as a function of the projectile energy. The upper and lower dashed lines are the region of acceptable behavior for the antiproton with the central line being the average fit to the experimental data [64]. The results for protons on hydrogen are identical to Fig. 5.

Fig. 6. Five-dimensional contour map showing regions of acceptable fit between theoretical and observed magnetic moments for both and X directions at both 300 and 100 K. Four parameter axes are labelled the fifth, representing Cp/Dq is shown as depth shallow, hatched areas for Cp/Dq =2.0, stippled region for CpjDq= i.0, and deep, unshaded areas for Cp/Dq=4.0. The corresponding region of fit to the spectrum is depicted as being between the dotted lines in each section [138].

FIGURE 9 Isoresponse plots of the two responses of the Face-Centred Design (a Yi,h Y2). For each of them the region of acceptability is highlighted. 

The region defined by Eq. (7.100) is shown in Fig. 7.8 as the region of acceptance, wheras the regions outside this range are labeled regions of rejection. Based on the assumption that the null hypothesis is true, if the statistic calculated from the experimental sample falls outside the region of acceptance, the null hypothesis is rejected and is accepted. Otherwise, // is accepted and is rejected. In this example, we calculate... 

We see that is outside the region of acceptance defined by Eq. (7.100) therefore, we reject the null hypothesis. 

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