MULTIVARIATE CONTROL CHARTS - CONTROL CHARTS FOR CALIBRATION CURVES

被引:93
作者
MESTEK, O [1 ]
PAVLIK, J [1 ]
SUCHANEK, M [1 ]
机构
[1] PRAGUE INST CHEM TECHNOL,DEPT MATH,CS-16628 PRAGUE 6,CZECH REPUBLIC
来源
FRESENIUS JOURNAL OF ANALYTICAL CHEMISTRY | 1994年 / 350卷 / 06期
关键词
D O I
10.1007/BF00325603
中图分类号
O65 [分析化学];
学科分类号
070302 ; 081704 ;
摘要
The proposed multivariate control charts for p-dimensional vectors are an extension of the conventional control charts for one variable. The controlling quantity is the Mahalanobis distance of vector x from the central value vector x..: D = (x - x..)T. C-1. (x - x..), where C is the covariance matrix estimate. The quantity D has Hotelling's T2 distribution. A PC program was set up for the automatic graphical construction of such charts. The program draws the sequential chart of the quantity D as well as the position of the vectors x in the p dimensional control ellipsoid in the axes of the principal components. In this way a control chart was developed for the calibration curve in the photometric determination of Fe3+ with sulfosalicyclic acid. Vector x was formed by absorbance values for the calibration curve points (p = 5). The chart can assist in detection of even small disturbances of the calibration curve.
引用
收藏
页码:344 / 351
页数:8
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