MSA - AIAG Manual--d2表

1、Number of Subgroups (g )、(k)Subgroup Size (m)、(n)2345678910111213141516171811.02.02.93.84.75.56.37.07.78.39.09.610.210.811.311.912.41.414211.911552.238872.481242.672532.829812.962883.077943.179053.269093.350163.423783.491163.553333.610713.664223.7142421.93.85.77.59.210.812.313.815.116.517.819.020.22

2、1.322.423.524.51.279311.805382.150692.404842.604382.767792.905623.024463.128693.221343.304633.380173.449223.512873.571563.626253.6773432.85.78.411.113.616.018.320.522.624.626.528.430.131.933.535.136.71.231051.768582.120492.378832.581272.746812.886283.006433.111733.205263.289313.36553.435123.499273.5

3、58423.613513.6649543.77.511.214.718.121.324.427.330.132.735.337.740.142.444.646.748.81.206211.749892.105222.365712.569642.736262.876562.997373.103213.19723.281633.358153.428053.492463.551833.607123.6587554.69.313.918.422.626.630.434.037.540.844.047.150.152.955.758.461.01.191051.738572.096012.357812.

4、562632.729912.870712.991923.098083.192353.277013.353723.423813.488363.547873.603283.6550265.511.116.722.027.031.836.440.845.049.052.856.560.163.566.870.073.11.180831.730992.089852.352532.557952.725672.86682.988293.094673.189113.273923.350773.420973.485633.545223.600723.6525376.412.919.425.631.537.14

5、2.547.652.457.161.665.970.074.077.981.685.31.173481.725552.085432.348752.55462.722632.864012.985683.092223.186793.271723.348663.418943.483683.543333.598883.6507587.214.822.129.236.042.448.554.359.965.270.375.280.084.689.093.397.41.167941.721472.082122.345912.552082.720362.861922.983733.090393.185063

6、.270063.347083.417423.482213.541923.597513.6494198.116.624.932.940.447.754.561.167.373.379.184.690.095.1100.1104.9109.51.163611.718282.079532.34372.550132.718582.860282.982213.088963.18373.268783.345853.416243.481073.540813.596443.64838109.018.427.636.544.952.960.667.874.881.587.994.099.9105.6111.21

7、16.5121.71.160141.715732.077462.341922.548562.717172.858982.9813.087813.182623.267753.344863.415293.480163.539933.595593.64755119.920.230.440.149.458.266.674.682.289.696.6103.4109.9116.2122.3128.1133.81.157291.713632.075772.340482.547282.7162.857912.983.086883.181743.26693.344063.414523.479413.53921

8、3.594893.646871210.722.033.143.753.863.572.681.389.797.7105.4112.7119.9126.7133.3139.8146.01.15491.711892.074362.339272.546212.715042.857022.979173.08613.1813.26623.343393.413873.478793.538613.59433.64631311.623.835.847.358.368.778.688.197.1105.8114.1122.1129.8137.3144.4151.4158.11.152891.710412.073

9、162.338242.54532.714222.856272.978473.085443.180373.265613.342823.413333.478263.53813.593813.645821412.525.738.651.062.874.084.794.9104.6113.9122.9131.5139.8147.8155.5163.0170.31.151151.709142.072132.337372.544522.713512.855622.977873.084873.179843.26513.342333.412863.477813.537663.593393.645411513.

10、427.541.354.667.279.390.7101.6112.1122.1131.7140.9149.8158.3166.6174.6182.41.149651.708042.071252.336612.543852.71292.855062.977353.084383.179383.264653.341913.412453.477423.537283.593023.645051614.329.344.158.271.784.596.7108.4119.5130.2140.4150.2159.7168.9177.7186.3194.61.148331.707082.070472.3359

11、42.543262.712372.854572.976893.083953.178973.264273.341543.41213.477073.536953.59273.644741715.131.146.861.876.289.8102.8115.1127.0138.3149.2159.6169.7179.4188.8197.9206.71.147171.706232.069782.335352.542742.71192.854132.976493.083583.178613.263933.341213.411783.476773.536663.592423.644471816.032.94

12、9.565.580.695.1108.8121.9134.4146.4157.9169.0179.7190.0199.9209.5218.81.146131.705472.069172.334832.542282.711482.853752.976133.083243.178293.263623.340923.41153.47653.53643.592163.644221916.934.752.369.185.1100.3114.8128.7141.9154.5166.7178.4189.6200.5211.0221.1231.01.14521.70482.068622.334362.5418

13、72.711112.853412.975813.082943.178013.263353.340663.411253.476263.536173.591943.6442017.836.555.072.789.6105.6120.9135.4149.3162.7175.5187.8199.6211.0222.1232.8243.11.144371.704192.068132.333942.541492.710772.85312.975523.082673.177753.263113.340423.411033.476053.535963.591743.6438d d2 21.128381.692

14、572.058752.325932.534412.704362.847202.970033.077513.172873.258463.335983.406763.471933.531983.587883.64006cd0.8761.8152.73783.6234.46585.26736.03056.75827.45398.12078.76029.37519.967910.539611.091311.625912.144Table d C1 Table*2：. ,difference constant the from up built be can ofvalues additional :

15、of value infinity theis ; is cell each of line the and )( freedom ofdegrees theis cell each of line :entries Tablecdddd21*22*2ndstnn1986. Hill,-McGraw edition, ,Statistics Industrial and Control Quality Duncan, Acheson of thatfollows tablethis in used notation The :Noteth5mgR)d / R( size f osubgroup

16、s of range average theis where freedom ofdegrees with ondistributi aas elyapproxim at ddistributeis 22*2 ncnmgR)d / R( size f osubgroups of range average theis where freedom ofdegrees with ondistributi aas elyapproxim at ddistributeis 22*2 ncn192012.913.43.761183.8053725.526.53.725243.7703238.239.73

17、.713193.7585750.852.83.707153.7526863.565.93.703523.7491476.179.13.701093.7467888.892.23.699363.74509101.4105.33.698063.74382114.1118.53.697053.74284126.7131.63.696253.74205139.4144.73.695583.74141152.0157.93.695033.74087164.7171.03.694573.74041177.3184.23.694173.74002190.0197.33.693823.73969202.621

18、0.43.693513.73939215.2223.63.693253.73913227.9236.73.693013.7389240.5249.83.69283.73869253.2263.03.69263.73853.688963.7350012.646813.1362Subgroup Size (m)、(n)Table d C1 Table*2：. ,difference constant the from up built be can ofvalues additional : of value infinity theis ; is cell each of line the an

19、d )( freedom ofdegrees theis cell each of line :entries Tablecdddd21*22*2ndstnn計計算算GR&R中中的的K1、K2和和K3的的值值從Duncan A. J (1986), Quality Control and Industrial Statistics取得下表K1取決於量具研究中試驗的次數，等於d2的倒數，d2可以從下表中查到。d2取決於試驗的次數(n)和零件的數量乘以評價人數（k）（假設計算K1值時k大於15）。 a.當n=2，k大於15時K1=1/ d2=1/1.128=0.8865試驗次數(n)K1 b.當n=3，k大於15時K1=1/ d2=1/1.693= 0.590620.886230.5908K2取決於量個研究中