• Author / Uploaded
• Gerardo Jesús Vidal

Citation preview

Factores para la elaboracion de graficas de control

Observaciones en la muestra, n

Grafica para promedios

Graficas para las desviaciones estandar

2 3 4 5

Factores para los limites de control A2 A3 1.880 2.659 1.023 1.954 0.729 1.628 0.577 1.427

Factores para la linea central c4 1/c 4 0.7979 1.2533 0.8862 1.1284 0.9213 1.0854 0.9400 1.0638

6 7 8 9 10

0.483 0.419 0.373 0.337 0.308

1.287 1.182 1.099 1.032 0.975

0.9515 0.9594 0.9650 0.9693 0.9727

11 12 13 14 15

0.285 0.266 0.249 0.235 0.223

0.927 0.886 0.850 0.817 0.789

16 17 18 19 20

0.212 0.203 0.194 0.187 0.180

21 22 23 24 25

0.173 0.167 0.162 0.157 0.153

Grafica para rangos

B3 0 0 0 0

B4 3.267 2.568 2.266 2.089

B5 0 0 0 0

B6 2.606 2.276 2.088 1.964

Factores para la linea central d2 1/d 2 1.128 0.8865 1.693 0.5907 2.059 0.4857 2.326 0.4299

1.0510 1.04230 1.0363 1.0317 1.0281

0.030 0.118 0.185 0.239 0.284

1.970 1.882 1.815 1.761 1.716

0.029 0.113 0.179 0.232 0.276

1.874 1.806 1.751 1.707 1.669

2.534 2.704 2.847 2.970 3.078

0.3946 0.3698 0.3512 0.3367 0.3249

0.848 0.833 0.820 0.808 0.797

0 0.076 0.136 0.184 0.223

2.004 1.924 1.864 1.816 1.777

0.9754 0.9776 0.9794 0.9810 0.9823

1.0252 1.0229 1.0210 1.0194 1.0180

0.321 0.354 0.382 0.406 0.428

1.679 1.646 1.618 1.594 1.572

0.313 0.346 0.374 0.399 0.421

1.637 1.610 1.585 1.563 1.544

3.173 3.258 3.336 3.407 3.472

0.3152 0.3069 0.2998 0.2935 0.2880

0.787 0.778 0.770 0.763 0.756

0.256 0.283 0.307 0.328 0.347

1.744 1.717 1.693 1.672 1.653

0.763 0.739 0.718 0.698 0.680

0.9835 0.9845 0.9854 0.9862 0.9869

1.0168 1.0157 1.0148 1.0140 1.0133

0.448 0.466 0.482 0.497 0.510

1.552 1.534 1.518 1.503 1.490

0.440 0.458 0.475 0.490 0.504

1.526 1.511 1.496 1.483 1.470

3.532 3.588 3.640 3.689 3.735

0.2831 0.2787 0.2747 0.2711 0.2677

0.750 0.744 0.739 0.734 0.729

0.363 0.378 0.391 0.403 0.415

1.637 1.622 1.608 1.597 1.585

0.663 0.647 0.633 0.619 0.606

0.9876 0.9882 0.9887 0.9892 0.9896

1.0126 1.0119 1.0114 1.0109 1.0105

0.523 0.534 0.545 0.555 0.565

1.477 1.466 1.455 1.445 1.435

0.516 0.528 0.539 0.549 0.559

1.459 1.448 1.438 1.429 1.420

3.778 3.819 3.858 3.895 3.931

0.2647 0.2618 0.2592 0.2567 0.2544

0.724 0.720 0.716 0.712 0.708

0.425 0.434 0.443 0.451 0.459

1.575 1.566 1.557 1.548 1.541

Factores para los limites de control

Factores para los limites de control d3 D3 D4 0.853 0 3.267 0.888 0 2.574 0.880 0 2.282 0.864 0 2.114