GBT 40681.4-2021 生產(chǎn)過程能力和性能監(jiān)測統(tǒng)計方法 第4部分：過程能力估計和性能測量

生產(chǎn)過程能力和性能監(jiān)測統(tǒng)計方法第4部分：過程能力估計和性能測量(ISO22514-4:2016,StatisticalmethodsinprocessmanagemeCapabilityandperformance—Part4:Processcapabilityestimates國家市場監(jiān)督管理總局國家標(biāo)準(zhǔn)化管理委員會生產(chǎn)過程能力和性能監(jiān)測統(tǒng)計方法第4部分：過程能力估計和性能測量關(guān)北京市朝陽區(qū)和平里西街甲2號(100029)北京市西城區(qū)三里河北街16號(100045)2021年10月第一版苦書號：155066·1-68596版權(quán)專有侵權(quán)必究中國標(biāo)準(zhǔn)出版社授權(quán)北京萬方數(shù)據(jù)股份有限公司在中國境內(nèi)(不含港澳臺地區(qū))推廣使用GB/T40681.4—2021 Ⅲ V 1 1 12.2縮略語 2 2 23.2離散程度 2 33.4參照限 33.5參照區(qū)間 3 34.1通則 3 4 6 64.5測量數(shù)據(jù)的過程能力指數(shù)(非正態(tài)分布情形) 84.6對過程能力評估進行描述和計算的替代方法 94.7連續(xù)數(shù)據(jù)的其他能力度量 4.8超出規(guī)范限比例的評估(正態(tài)分布情形) 5.1通則 5.2測量數(shù)據(jù)的過程性能指數(shù)(正態(tài)分布情形) 5.3測量數(shù)據(jù)的過程性能指數(shù)(非正態(tài)分布情形) 5.4測量數(shù)據(jù)的其他性能指數(shù) 5.5正態(tài)分布情形下超出規(guī)范限比例的評估 6過程能力指數(shù)和過程性能指數(shù)的報告格式 附錄A(資料性附錄)估計標(biāo)準(zhǔn)差 A.1通則 A.2固有標(biāo)準(zhǔn)差 A.3總標(biāo)準(zhǔn)差的估計 附錄B(資料性附錄)使用皮爾遜曲線估計過程能力和性能度量的步驟和示例 B.1記錄規(guī)范限 B.2記錄過程統(tǒng)計量 B.3查找標(biāo)準(zhǔn)化0.135%分位數(shù) IGB/T40681.4—2021B.4查找標(biāo)準(zhǔn)化99.865%分位數(shù) B.6計算0.135%分位數(shù)的估計值 B.7計算99.865%分位數(shù)的估計值 B.8計算中位數(shù)的估計值 B.9計算過程能力指數(shù) 附錄C(資料性附錄)分布識別 C.1通則 C.2正態(tài)分布 C.3對數(shù)正態(tài)分布 C.4瑞利分布 C.5威布爾分布 C.6折疊半正態(tài)分布 C.7其他分布 附錄D(資料性附錄)置信區(qū)間 D.1正態(tài)分布 D.2其他置信區(qū)間 本部分為GB/T40681的第4部分。本部分使用重新起草法修改采用ISO22514-4:2016《過程管理中的統(tǒng)計方法能力與性能第4本部分與ISO22514-4:2016相比進行了下述結(jié)構(gòu)調(diào)整：——刪除了ISO22514-4:2016的3.1,將3.1中“本部分所涉及的評估和測量方法僅適用于計量型本部分與ISO22514-4:2016的技術(shù)性差異及其原因如下：——將4.8中涉及數(shù)值計算的表達式“CkL=0.86,Cpku=0.91”修改為估計的形式“CpkL=0.86,Cpk=0.91”,修改了錯誤使用的估計ⅢV中國標(biāo)準(zhǔn)出版社授權(quán)北京萬方數(shù)據(jù)股份有限公司在中國境內(nèi)(不含港澳臺地生產(chǎn)過程能力和性能監(jiān)測統(tǒng)計方法第4部分：過程能力估計和性能測量GB/T40681的本部分針對正態(tài)分布和非正態(tài)分布兩類情形，分別給出了常用的過程能力和性能Cr過程能力倒數(shù)d?與子組大小n有關(guān)的常數(shù)Φ標(biāo)準(zhǔn)正態(tài)分布的分布函數(shù)mP。標(biāo)準(zhǔn)化皮爾遜曲線pl下不合格率1p.PuθRSS第j個子組樣本標(biāo)準(zhǔn)差的觀測值σT樣本的第i個觀測值XX5。PCF:過程能力倒數(shù)(processcapability對于標(biāo)準(zhǔn)差的使用，有必要區(qū)分過程短期變異和過程長期變異。總離散程度2如圖1所示，過程的短期變異效應(yīng)是總離散程度的一部分。短期離散程度包括過程固有離散程度上、下參照限通常被依次定義為描述過程特性輸出分布的99.865%和0.135%的分位數(shù)，寫為總體的99.73%。3 0.135%4“有能力”的過程是那些參照區(qū)間落在由特定值具體定義的容許區(qū)間內(nèi)的過程。圖3給出了一個為分布的99.865%和0.135%分位數(shù)，可使用合適的概率紙(詳見圖5,使用極值分布概率紙的示例)或54.4.1通則告這些指數(shù)的置信區(qū)間。附錄D介紹了相應(yīng)的置信區(qū)間計算方法。 (1)6Ck指數(shù)定義為給定容差限和過程位置之間的差與相應(yīng)的自然過程限和過程位置之間的差的這些指數(shù)會提供信息，辨別某一過程是否是弱中心的，以及該過程是否4.4.2Cp(正態(tài)分布情形) (3)為估計指數(shù)Cp,需要先得到固有過程標(biāo)準(zhǔn)差σ的估計值s。只要控制圖顯示該過程處于統(tǒng)計受控 (4)4.4.3Ck(正態(tài)分布情形) (5)或 (6) (7)或 (8)7GB/T40681.4—2021 (9) (10)或 (11)功能和適用性會受到影響。不合格率取決于過程分布和相應(yīng)的指數(shù)值。作為概率紙的替代方法，可以使用標(biāo)準(zhǔn)化皮爾遜曲線。該方法通過實例(參見附錄B)的方式予以是由標(biāo)準(zhǔn)化皮爾遜曲線估計給出的0.135%和99.865%分位數(shù)的估計值?；?9其中，pu和pl分別為超出上規(guī)范限和下規(guī)范限的不合格品比例，pu和pl為相應(yīng)的估計值。表24.7連續(xù)數(shù)據(jù)的其他能力度量4.7.1過程能力倒數(shù)(PCF)PCF是指數(shù)Cp的倒數(shù)： (15) (16) (17)4.8超出規(guī)范限比例的評估(正態(tài)分布情形)Lsi.以下和Us?以上所對應(yīng)的超出規(guī)范限的產(chǎn)品比例p和pu,可以利用標(biāo)準(zhǔn)正態(tài)分布進行估計。 (20)和2pL=3Ck…………如果一個過程處于統(tǒng)計受控狀態(tài)，Ck=0.86,Cku=0.91,其超出規(guī)范限的比例可由下述方法a)計算上標(biāo)準(zhǔn)化偏差≈u=3Cpku=3×0.91=2.73…………(22)b)計算下標(biāo)準(zhǔn)化偏差≈p.=3Ck=3×0.86=2.58…………(23)注意，表3不能用于推導(dǎo)計數(shù)型數(shù)據(jù)的Cp和Cpk。和0.0032。5性能5.1通則某一過程特性的性能需利用過程輸出結(jié)果的實際分布進行計算。性能和能在于，性能不要求過程處于統(tǒng)計受控狀態(tài)，也不要求使用控制圖監(jiān)控該過程。以下是適用于性能的 接下來在5.2與5.3中給出表示過程性能的指數(shù)。除了它們分別被命名為Pp、Pk、Ppu和Pk之5.2測量數(shù)據(jù)的過程性能指數(shù)(正態(tài)分布情形)當(dāng)單值數(shù)據(jù)服從正態(tài)分布時，參照區(qū)間長度等于6o,,其中，σ,是總標(biāo)準(zhǔn)差。因此，指數(shù)Pp (24)和和GB/T40681.4—2021 (29) (30)和 (31)如果指數(shù)小于給定值，則認(rèn)為該過程不合格率偏高。不合格率取決于過程分布和性能指數(shù)的值。標(biāo)準(zhǔn)化皮爾遜曲線可以作為概率紙的替代方法。該方法通過實例(參見附錄B)的方式介紹。該指 (32) (33)和 (34)取值或取值范圍置信區(qū)間可選項：——抽樣頻率；——獲取數(shù)據(jù)的時刻和持續(xù)時間；———分布模型；——技術(shù)條件(批次、操作和工具)i)原始數(shù)據(jù)； (資料性附錄)估計標(biāo)準(zhǔn)差為了計算本部分提到的指數(shù)，有必要去估計標(biāo)準(zhǔn)差?？紤]兩種類型的標(biāo)準(zhǔn)差。第一種可以被描述為短期標(biāo)準(zhǔn)差或瞬時(固有)標(biāo)準(zhǔn)差。它通常根據(jù)從控制圖中獲取的統(tǒng)計量來計算，如A.2所示。另一種是對總標(biāo)準(zhǔn)差的估計，在A.3中給出了描述。如果過程具有多種模式或狀態(tài)，宜按照ISO22514-2或ISO22514-8給出的方法進行計算。A.2固有標(biāo)準(zhǔn)差A(yù).2.1使用平均子組極差值的估計根據(jù)極差控制圖，固有(過程)標(biāo)準(zhǔn)差(數(shù)據(jù)從處于受控狀態(tài)的控制圖中獲取)的估計為：表A.1過程標(biāo)準(zhǔn)差估計系數(shù)子組大小(n)23456789“對大于10的子組大小，d?和c?的值可以從相關(guān)資料中查找。A.2.2使用平均標(biāo)準(zhǔn)差值的估計如果使用標(biāo)準(zhǔn)差控制圖來監(jiān)控子組變異，固有(過程)標(biāo)準(zhǔn)差可用下式估計：A.2.3使用子組標(biāo)準(zhǔn)差的估計如果每個子組已計算了子組標(biāo)準(zhǔn)差，固有(過程)標(biāo)準(zhǔn)差可用下式估計：中國標(biāo)準(zhǔn)出版社授權(quán)北京萬方數(shù)據(jù)股份有限公司在中國境內(nèi)(不含港澳臺地區(qū))推廣使用(資料性附錄)B.2記錄過程統(tǒng)計量B.3查找標(biāo)準(zhǔn)化0.135%分位數(shù)B.4查找標(biāo)準(zhǔn)化99.865%分位數(shù)B.5查找表B.3中標(biāo)準(zhǔn)化中位數(shù)B.6計算0.135%分位數(shù)的估計值B.7計算99.865%分位數(shù)的估計值GB/T40681.X0.5=x+oPo.5=0.235+[0.0122×(一0.0675)]表B.1標(biāo)準(zhǔn)化皮爾遜曲線在正偏度下0.135%分位數(shù)與負偏度下99.865%分位數(shù)皮爾遜曲線(尾部標(biāo)準(zhǔn)化情形)如y?>0,取Po.00135(0.135%分位數(shù));如y?<0,取Po.99865(99.865%分位數(shù))峰度偏度(y?)1.5121.4211.3171.201.7271.6191.4961.3641.231.9661.8401.6961.5411.382.2102.0721.9121.7361.5551.3771.2121.0620.922.4422.2982.1291.9411.7401.5391.3481.1751.0230.882.6532.5062.3352.1411.9301.7111.4961.2991.1250.9740.842.8392.6922.5222.3292.1161.8871.6551.4341.2351.0650.9190.793.0002.8562.6892.5002.2892.0591.8171.5781.3561.1631.0000.8610.73.1402.9862.8342.6532.4472.2201.9761.7261.4851.2691.0860.9330.83.2613.0882.9522.7852.5892.3682.1271.8731.6191.3821.1781.0080.8650.73.3663.1643.0452.8962.7142.5022.2672.0151.7541.5021.2771.0870.9310.7990.63.4583.2223.1182.9862.8212.6222.3962.1481.8871.6251.3811.1721.0000.8570.73.5393.2663.1743.0582.9102.7272.5122.2712.0131.7481.4911.2621.0720.9170.7870.63.6113.3003.2183.1152.9832.8172.6162.3852.1321.8761.6021.3571.1490.9790.8400.73.6743.3273.2543.1613.0432.8932.7082.4882.2431.9811.7131.4561.2301.0450.8940.7680.63.7313.3493.2823.1993.0922.9572.7872.5812.3452.0891.8211.5561.3161.1130.9500.8150.73.7823.3673.3063.2293.1333.0112.8552.6642.4382.1891.9251.6641.4041.1851.0080.8630.7430.63.8283.3823.3253.2553.1673.0552.9142.7362.5242.2832.0231.7551.4941.2611.0680.9130.7850.63.8703.3953.3423.2773.1963.0932.9642.8002.6002.3692.1161.8501.5841.3391.1320.9640.8280.73.9083.4053.3563.2953.2203.1263.0062.8552.6692.4482.2021.9401.6731.4201.1981.0180.8730.73.9433.4153.3673.3113.2413.1533.0432.9042.7302.5212.2832.0261.7601.5011.2671.0730.9180.73.9753.4233.3783.3243.2593.1773.0752.9462.7842.5862.3582.1071.8441.5811.3311.1310.9650.84.0043.4303.3873.3263.2743.1983.1032.9832.8312.6462.4272.1831.9241.6611.4101.1911.0130.8700.0.533表B.1(續(xù))偏度(Y?)1273.0152.9742.6992.4912.2542.0001.7381.4831.21493.0432.9112.7472.5492.3832.0721.8131.5551.31683.0692.9452.7902.6022.3832.1401.8841.6261.31843.0912.9742.8292.6512.4402.2051.9531.6951.42003.1113.0012.8642.6952.4942.2652.0181.7621.5101.2811.082253.1453.0472.9232.7712.5882.3742.1381.8891.6361.3961.18V2363.1603.0662.9462.8052.6292.4242.1941.9481.6971.4531.232463.1733.0842.9722.8352.6682.4702.2462.0051.7561.5101.282563.1863.1002.9942.8632.7032.5132.2962.0591.8131.5661.332643.1973.1143.0132.8882.7352.5622.3422.1111.8671.6211.382793.2163.1403.0472.9332.7932.6242.4272.2061.9701.7271.482863.2253.1523.0622.9522.8182.6562.4652.2502.0191.7781.532923.2333.1623.0762.9702.8412.6852.5012.2922.0651.8271.582973.2403.1723.0892.9872.8632.7312.5352.3322.1091.8741.633033.2473.1813.1003.0032.8832.7392.5672.3692.1511.9191.63083.2543.1893.1113.0172.902.7632.5972.4052.1911.9621.73123.2603.1973.1223.0302.9192.7852.6242.4382.2292.0041.73163.2653.2043.1313.0432.9362.8062.6512.4692.2652.0441.83213.2703.2113.1403.0542.9512.8252.6752.4992.3002.0831.83243.2753.2183.1483.0652.9652.8432.6982.5272.3332.1201.83283.2803.2243.1563.0752.9782.8602.7202.5542.3642.1551.93313.2843.2293.1643.0852.9902.8762.7402.5792.3942.1891.93353.2893.2353.1713.0943.0022.8912.7592.6032.4222.2212.0偏度(Y?)4673.4403.4113.3773.3383.2923.2403.1773.1033.0132.9062.7772.6252.4492.2522.0401.84683.4423.4123.3793.3403.2963.2443.1833.1113.0232.9192.7942.6462.4752.2822.0731.84693.4433.4143.3813.3433.3003.2493.1893.1183.0332.9322.8102.6662.4992.3102.1041.84703.443.4163.3833.3463.3033.2533.1953.1253.0422.9432.8252.6852.5222.3372.1351.94713.4453.4173.3853.3483.3063.2573.2003.1323.0512.9552.8392.7032.5442.3632.1641.94723.4473.4183.3873.3513.3093.2613.2053.1383.0592.9652.8532.7202.5652.3882.1921.94733.4483.4203.3883.3533.3123.2653.2093.1443.0672.9752.8662.7362.5852.4112.2192.04733.4493.4213.3903.3553.3153.2683.2143.1503.0752.9852.8782.7522.6042.4342.2452.04743.4503.4223.3923.3573.3173.2723.2183.1563.0822.9942.8902.7662.6222.4562.2712.04753.4513.4243.3933.3593.3203.2753.2223.1613.0883.0032.9012.7802.6392.4762.2952.03.4253.3953.3613.3223.2783.2263.1663.0953.0112.9112.7932.6552.4962.313.3963.3633.3253.2813.2303.1713.1013.0192.9212.8062.6712.5152.343.3643.3273.2833.2333.1753.1073.0262.9302.8182.6862.5332.363.3293.2863.2373.1793.1123.0332.9402.8292.7002.5512.383.2893.2403.1843.1183.0402.9482.8402.7142.5672.403.2433.1883.1233.0462.9562.8512.7272.5832.423.1913.1283.0532.9642.8612.7392.5982.433.1953.1323.0582.9722.8702.7512.6132.453.1373.0462.9792.8792.7622.6272.473.1413.0702.9862.8882.7732.6412.483.0752.9932.8962.7842.6532.50表B.2標(biāo)準(zhǔn)化皮爾遜曲線在正偏度下99.865%分位數(shù)與負偏度下0.135%分位數(shù)皮爾遜曲線(尾部標(biāo)準(zhǔn)化情形)如y?>0,取P0.99865(99.865%分位數(shù));如y?<0,取P0.00135(0.135%分位數(shù))峰度偏度(y?)1.5121.5841.6321.651.7271.8131.8711.8991.891.9662.0652.1342.1702.162.2102.3202.4002.4462.4542.42.4422.5602.6482.7042.7262.72.6532.7742.8692.9342.9692.92.8392.9613.0603.1333.1793.13.0003.1233.2243.3033.3583.33.1403.2613.3643.4473.5103.53.2613.3813.4843.5703.6393.63.3663.4853.5882.6762.7492.83.4583.5753.6783.7683.8443.93.5393.6543.7573.8473.9263.93.6113.7243.8263.9173.9974.03.6743.7863.8873.9784.0604.13.7313.8423.9424.0334.1154.13.7823.8913.9904.0814.1644.23.8283.9364.0344.1254.2084.23.8703.9764.0734.1644.2484.33.9084.0134.1094.1994.2834.3614.4334.503.9434.0464.1424.2314.3154.3944.4674.3.9754.0774.1724.2614.3444.4偏度(Y?)84.9485.0025.0495.0855.1065.1035.0664.偏度(Y?)5214.6004.6774.7584.8274.9014.9745.0465.1185.1915.2635.3365.4105.4835.5575.635274.6054.6824.7624.8324.9054.9785.0515.1235.1955.2685.3415.4145.4885.5625.635324.6114.6874.7674.8374.9104.9835.0555.1275.2005.2725.3455.4195.4935.5675.645384.6164.6924.7724.8414.9144.9875.0595.1325.2045.2765.3495.4235.4975.5725.645434.6214.6974.7764.8454.9184.9915.0635.1355.2085.2805.3535.4275.5015.5765.655484.6254.7014.7804.8504.9234.9955.0675.1395.2115.2845.3575.4315.5055.5805.655524.6304.7054.7844.8544.9264.9995.0715.1435.2155.2895.3615.4345.5095.5845.665574.6344.7104.7884.8574.9305.0025.0745.1465.2185.2915.3645.4375.5125.5875.665614.6384.7144.7914.8614.9345.0065.0785.1495.2225.2945.3675.4405.5155.5905.665654.6424.7174.7954.8654.9375.0095.0815.1535.2255.2975.3705.4435.5185.5935.674.7214.7984.8684.9405.0125.0845.1565.2285.3005.3735.4465.5215.5965.6735.74.8714.9435.0155.0875.1585.2305.3035.3755.4495.5235.5995.6755.74.8744.9475.0185.0905.1615.2335.3055.3785.4515.5265.6015.6785.74.9495.0215.0925.1645.2365.3085.3805.4545.5285.6035.6805.75.0245.0955.1665.2385.3105.3835.4565.5305.6055.685.0985.1695.2405.3125.3855.4585.5325.6075.685.1715.2435.3145.3875.4605.5345.6095.685.1735.2455.3165.3895.4625.5365.6115.685.2475.3185.3915.4645.5385.6135.685.2495.3205.3935.4655.5395.6145.695.3225.3945.4675.5415.6165.69皮爾遜曲線(中位數(shù)標(biāo)準(zhǔn)化情形)Po(50%分位數(shù)),當(dāng)y?>0時，改變符號峰度偏度(y?)0.0000.0530.1110.1840.2820.4240.0000.0390.0820.1320.1960.2840.4120.0000.0310.0650.1030.1510.2120.2970.0000.0260.0540.0850.1230.1690.2310.3170.4390.0000.0230.0470.0730.1040.1420.1900.2540.3430.4680.0000.0200.0410.0640.0910.1220.1610.2120.2800.3750.5040.0000.0180.0370.0580.0810.1080.1410.1830.2370.3110.4130.5430.0000.0170.0340.0530.0730.0970.1260.1610.2060.2660.3470.4560.5790.0000.0150.0320.0490.0680.0860.1140.1450.1830.2330.2990.3880.5010.0000.0140.0290.0450.0630.0820.1050.1320.1650.2080.2630.3360.4330.5450.0000.0130.0280.0430.0590.0770.0970.1220.1510.1880.2350.2970.3790.4810.5790.0000.0130.0260.0400.0550.0720.0910.1130.1400.1720.2130.2660.3360.4250.5270.0000.0120.0250.0380.0530.0680.0860.1060.1300.1590.1960.2420.3010.3790.4740.5630.0000.0110.0240.0360.0500.0650.0820.1000.1220.1480.1810.2220.2740.3410.4260.5200.0000.0110.0230.0350.0480.0620.0780.0950.1160.1400.1690.2060.2520.3100.3850.4740.5540.0000.0100.0220.0340.0460.0600.0740.0910.1100.1320.1590.1920.2330.2850.3510.4320.5180.0000.0100.0210.0320.040.0570.0720.0870.1050.1260.1510.1800.2170.2640.3230.3960.4800.5490.5400.4610.0000.0090.0200.0310.0430.0550.0690.0840.1010.1200.1430.1710.2040.2460.2990.3650.430.5210.0000.0090.0200.0300.0420.0540.0670.0810.0970.1150.1370.1620.1930.2310.2790.3380.4100.4880.0000.0090.0190.0290.0400.0520.0650.0780.0940.1110.1310.1550.1830.2180.2610.3150.3810.4560.0000.0080.0180.0290.0390.0510.0630.0760.0910.1070.1260.1480.1750.2070.2460.2950.3550.4260.0000.0080.0180.0280.0380.0490.0610.0740.0880.1040.1220.1430.1670.1970.2330.2780.3330.3980.0000.0080.0170.0270.0370.0480.0590.0720.0850.1010.1180.1380.1610.1890.2220.2630.3130.374偏度(Y?)0.0000.0080.0170.0270.0370.0470.0580.0700.0830.0980.1140.1330.1550.1810.2120.2500.2960.3520.4170.4830.0000.0080.0170.0260.0360.0460.0570.0680.0810.0950.1110.1290.1500.1740.2030.2390.2810.3330.3940.4600.5130.0000.0070.0160.0250.0350.0450.0560.0670.0790.0930.1080.1250.1450.1680.1960.2280.2680.3160.3730.4370.0000.0070.0160.0250.0340.0440.0540.0660.0780.0910.1050.1220.1410.1630.1880.2190.2560.3010.3540.4150.4750.0000.0070.0150.0250.0340.0430.0530.0640.0760.0890.1030.1190.1370.1580.1820.2110.2460.2880.3370.3950.4550.0000.0070.0150.0240.0330.0430.0530.0630.0750.0870.1010.1160.1330.1530.1760.2040.2360.2760.3220.3760.4350.0000.0070.0150.0240.0330.0420.0520.0620.0730.0850.0990.1130.1300.1490.1710.1970.2280.2650.3080.3590.4160.0000.0070.0150.0230.0320.0410.0510.0610.0720.0840.0970.1110.1270.1450.1670.1910.2200.2550.2960.3440.0000.0060.0150.0230.0320.0410.0500.0600.0710.0820.0950.1090.1240.1420.1620.1860.2130.2460.2850.3300.0000.0060.0140.0230.0310.0400.0490.0590.0700.0810.0930.1070.1220.1390.1580.1810.2070.2380.2740.3170.3670.0000.0060.0140.0220.0310.0400.0490.0580.0690.0800.0920.1050.1190.1360.1550.1760.2010.2310.2650.3060.3530.0000.0060.0140.0220.0300.0390.0480.0570.0680.0780.0900.1030.1170.1330.1510.1720.1960.2240.2570.2950.3400.0000.0060.0140.0220.0300.0390.0470.0570.0670.0770.0890.1010.1150.1310.1480.1680.1910.2180.2490.2850.3280.0000.0060.0140.0220.0300.0380.0470.0560.0660.0760.0870.1000.1130.1280.1450.1640.1860.2120.2420.2770.3170.0000.0060.0140.0210.0290.0380.0460.0550.0650.0750.0860.0980.1110.1260.1420.1610.1820.2070.2350.2680.3070.0000.0060.0130.0210.0290.0370.0460.0550.0640.0740.0850.0970.1100.1240.1400.1580.1780.2020.2290.2610.2980.0000.0060.0130.0210.0290.0370.0450.0540.0630.0730.0840.0960.1080.1220.1370.1550.1750.1970.2230.2540.2890.0000.0060.0130.0210.0280.0370.0450.0540.0630.0730.0830.0940.1070.1200.1350.1520.1710.1930.2180.2470.0000.0060.0130.0210.0280.0360.0440.0530.0620.0720.0820.0930.1050.1180.1330.1500.1680.1890.2130.2410.2730.0000.0050.0130.0200.0280.0360.0440.0530.0610.0710.0810.0920.1040.1170.1310.1470.1650.1850.2090.2360.2670.0000.0050.0130.0200.0280.0360.0440.0520.0610.0700.0800.0910.1030.1150.1290.1450.1620.1820.2050.2300.0000.0050.0130.0200.0270.0350.0430.0520.0600.0700.0790.0900.1010.1140.1280.1430.1600.1790.2010.2260.0000.0050.0120.0200.0270.0350.0430.0510.0600.0690.0790.0890.1000.1130.1260.1410.1570.1760.1970.2210.2490.0000.0050.0120.0200.0270.0350.0430.0510.0590.0680.0780.0880.0990.1110.1240.1390.1550.1730.1930.2170.2430.0000.0050.0120.0190.0270.0340.0420.0500.0590.0680.0770.0870.0980.1100.1230.1370.1530.1700.1900.2130.238偏度(Y?)0.0000.0050.0120.0190.0270.0340.0420.0500.0580.0670.0760.0860.0970.1090.1210.1350.1510.1680.0000.0050.0120.0190.0260.0340.0420.0500.0580.0670.0760.0860.0960.1080.1200.1340.1490.1650.0000.0050.0120.0190.0260.0340.0410.0490.0570.0660.0750.0850.0950.1070.1190.1320.1470.1630.0000.0050.0120.0190.0260.0330.0410.0490.0570.0660.0750.0840.0940.1060.1180.1310.1450.1610.0000.0050.0120.0190.0260.0330.0410.0490.0570.0650.0740.0840.0940.1050.1160.1290.1430.1590.0000.0050.0120.0190.0260.0330.0400.0480.0560.0650.0730.0830.0930.1040.1150.1280.1420.1570.0000.0050.0120.0190.0260.0330.0400.0480.0560.0640.0730.0820.0920.1030.1140.1270.1400.1550.0000.0050.0120.0190.0250.0330.0400.0480.0550.0640.0720.0820.0910.1020.1130.1250.1390.1530.0000.0050.0120.0180.0250.0320.0400.0470.0550.0630.0720.0810.0910.1010.1120.1240.1370.1520.0000.0050.0110.0180.0250.0320.0400.0470.0550.0630.0710.0800.0900.1000.1110.1230.1360.1500.0000.0320.0390.0470.0540.0630.0710.0800.0890.0990.1100.1220.1350.1490.1640.1810.0000.0320.0390.0470.0540.0620.0710.0790.0890.0990.1090.1210.1330.1470.1620.1790.0000.0390.0460.0540.0620.0700.0790.0880.0980.1090.1200.1320.1460.1600.1770.0000.0460.0540.0610.0700.0780.0880.0970.1080.1190.1310.1440.1590.1750.0000.0530.0610.0690.0780.0870.0970.1070.1180.1300.1430.1570.1730.0000.0610.0690.0780.0870.0960.1060.1170.1290.1420.1560.1710.0000.0690.0770.0860.0950.1050.1160.1280.1410.1540.1690.0000.0680.0770.0860.095