Control Chart

Tables of Constants for Control outlines Table 8A †Variable Data ref : AIAG manual for SPC X bar and R Charts Chart for Averages Control Limits Factor Subgroup size (n) 2 3 4 5 6 7 8 9 10 15 25 A2 1. 880 1. 023 0. 729 0. 577 0. 483 0. 419 0. 373 0. 337 0. 308 0. 223 0. 153 Chart for Averages Chart for Standard Deviation (s) Chart for Ranges (R) Divisors to Control Estimate Factors for Control gauge Factors for Control Limits Factor Limits ?x d2 1. 128 1. 693 2. 059 2. 326 2. 534 2. 704 2. 847 2. 970 3. 078 3. 472 3. 931 D3 0. 076 0. 136 0. 184 0. 23 0. 347 0. 459 Centerline X bar and R Charts CL X = X CLR = R X bar and s Charts X bar and s diagrams CLX = X CL s = s Institute of Quality and Reliability www. world-class-quality. com D4 3. 267 2. 574 2. 282 2. 114 2. 004 1. 924 1. 864 1. 816 1. 777 1. 653 1. 541 A3 2. 659 1. 954 1. 628 1. 427 1. 287 1. 182 1. 099 1. 032 0. 975 0. 789 0. 606 c4 0. 7979 0. 8862 0. 9213 0. 9400 0. 9515 0. 9594 0. 9650 0. 9693 0. 9727 0. 9823 0. 9896 B 3 0. 030 0. 118 0. 185 0. 239 0. 284 0. 428 0. 565 Control Limits UCLX = X + A2 R LCL UCLR = D4 R LCL R = D3 R UCLX = X + A3 S LCL X = X ?A3 S UCL s = B4 s LCL s = B 3 s Control Chart Factors X = X ? A2 R B4 3. 267 2. 568 2. 266 2. 089 1. 970 1. 882 1. 815 1. 761 1. 716 1. 572 1. 435 ?x R d2 s c4 Page 1 of 3 Tables of Constants for Control outlines Table 8B Variable Data ref : AIAG manual for SPC Median Charts Chart for Medians Charts for Individuals Chart for Individuals Chart for Ranges (R) Control Divisors to Limits Estimate Factors for Control Factor Limits ?x Subgroup size 2 3 4 5 6 7 8 9 10 ~ A2 1. 880 1. 187 0. 796 0. 691 0. 548 0. 508 0. 433 0. 412 0. 362 d2 1. 128 1. 693 2. 059 2. 326 2. 534 2. 704 . 847 2. 970 3. 078 D3 0. 076 0. 136 0. 184 0. 223 D4 3. 267 2. 574 2. 282 2. 114 2. 004 1. 924 1. 864 1. 816 1. 777 Centerline CL Median Charts ~ X ~ =X CLR = R Charts for Individuals CL X =X CLR = R Institute of Quality and Reliability www. world-class-quality. com Control Limi ts Factor E2 2. 660 1. 772 1. 457 1. 290 1. 184 1. 109 1. 054 1. 010 0. 975 Chart for Moving Range (R) Divisors to Estimate Factors for Control ?x Limits d2 1. 128 1. 693 2. 059 2. 326 2. 534 2. 704 2. 847 2. 970 3. 078 D3 0. 076 0. 136 0. 184 0. 223 D4 3. 267 2. 574 2. 282 2. 114 2. 004 1. 924 . 864 1. 816 1. 777 Control Limits UCL ~ X ~ = X + A2 R UCLR = D4 R UCL X = X + E 2 R UCLR = D4 R Control Chart Factors LCL ~ X ~ = X ? A2 R LCL R = D3 R LCL X = X ? E 2 R LCL R = D3 R Page 2 of 3 Tables of Formulas for Control graphs Table 8 C Attribute Data ref : AIAG manual for SPC Centerline Control Limits Samples not really of consistent size UCL p outline for CL p = p extents of units in a class pi = p+3 c diagram for number of frequencies in at least one classifications ni LCL p I = p ? 3 p (1 ? p ) ni If the Sample size is consistent (n) UCL p = p + 3 np outline for umber/pace of units in a class p (1 ? p ) p (1 ? p ) n LCL p = p ? 3 p (1 ? p ) n CL = np UCLnp = np + 3 np(1 ? p) LCLnp = np ? 3 np(1 ? p) CL c = c UCLc = c + 3 c LCLc = c ? 3 c Samples not really of steady size CLu = u outline for number of rates per unit in at least one classes UCLu = u + 3 LCLu = u ? 3 u ni UCL u = u ? 3 u n UCL u = u ? 3 u n utilizing normal example size UCL u = u + 3 u n If the example size is consistent (n) UCL u = u + 3 Institute of Quality and Reliability www. world-class-quality. com u ni u n Control Chart Factors Page 3 of 3