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ANALYTICAL CHEMISTRY, VOL. 61, NO. 19, OCTOBER 1, 1989 Tway, P. C.; Cline Love, L. J.; Woodruff, H. E. Anal. Chkn. Acta 1980, 117, 45. Gold, H. S.; Rasmussen, G. T.; Mercer-Smith, J. A,; Whltten, D. G.; Buck, R. P. Anal. Chim. Acfa 1980, 122. 171. Malinowski, E. R.: Howery, D. G. I n Factor Analysis in Chemistry: Wiley: New York, 1980. Mailnowski, E. R. Anal. Chem. 1977, 49, 612. Gabrlel, K. R. " e t r i k a 1971, 58. 453. Rossi, T. M.; Warner, I.M. Anal. Chem. 1988, 5 4 , 810-815. Warner, 1. M. I n Confempofary Topics in Analyticel and Clinical Chemistty;Hercules, D. M., Hlettje, G. M.. Snyder, L. R., Evenson, M. A., Eds.; Plenum Press: New York, 1982: Vol. 4. Warner, I . M.; Neal, S. L.; Rossi, T. M. J . Res. Nati. Bur. Stand. (US.)1985, 9 0 , 487. Mardia. K. V.; Kent, J. T.: Bibby, J. M. Multivariate Analysls: Academic Press: London, 1972. Johnson, R. A.; Wicharn, D. W. ApplM MumVariete Statistical Ana&sls; 2nd ed.; Prentlce Hall: Engelwood Cllff, NJ, 1988. Tatsuoka, M. M. Multivariate Analysls: John Wiley and Sons: New York, 1971. Sanchez, E.; Kowalskl, E. R. Anal. Chem. 1988, 58, 496-499. Sanchez, E.; Kowalskl, E. R. J . Chemom. 1988, 2 , 247-263 and 265-280. Golub, G.; Van Loan, C. Matrix Computations: The Johns Hopklns Unlversity Press: Oxford, 1983. Stewart, G. W. Introduction to Matrix Computations : Academic Press: New York, 1973. Eurdick, D. S.; Tu, X. M. J . Chemom. 1989, 3 , 431-441. Rao, C. R. Linear Statistical Inference: John Wiley and Sons: New York. 1973. Kshirsagar, A. M. Multivariate Analysis: Marcel Dekker: New York, 1972.
Table VI. Values of the Imbedded Error Function (IE) and the Factor INDicator Function (IND) Calculated from the Eigenvalues of 'I"%, Where Asterisk Indicates the Number Determined by the Respective Criterion
IE
IND
IE
IND = 10
0.071 452 22 0.033 220 82 0.029 432 07 0.014 836 16* 0.016 207 69 0.017 387 01 0.018 341 97
= 25 0.000 549 225 7 0.000 195 297 7 0.000 153 292 1 0.000072 864 8* 0.000077 816 7 0.000 083 635 9 0.000 090 057 3
0.029 573 8 0.01635837 0.016 65165 0.014 822 12* 0.016 194 21 0.017 372 44 0.01833081
0.000 227 322 4 0.000096167 17 0.000086 727 36 0.000072 795 83* 0.000077 75194 0.000083 565 79 0.00009000248
c 0.018839 17 0.012 90166* 0.01429905 0.014 798 52 0.016 17171 0.017 347 47 0.018 310 1
=6 0.000 144 809 5 0.000075 845 9 0.0000744742 0.000072 679 9* 0.000077 643 9 0.000083 445 6 0.000 089 900 8
0.016 279 75 0.012 214 1* 0.013 838 56 0.014 783 17 0.016 15743 0.017 33164 0.018 296 46
c =5 0.000 125 136 2 0.000071803 95* 0.000072 075 85 0.000072 604 55 0.000077 575 34 0.000083 369 52 0.000089 833 82
C
0.013 826 32 0.0116245* 0.01343851 0.014 754 58 0.016 13174 0.017 303 53 0.018 271 4
c=4 0,000 106 277 6 0.0000683778* 0.0000699922 0.000 072 464 1 0.000 077 452 0.000 083 234 3 O.oOO089 710 8
c
c=3
0.011 547 13 0.011 14895* 0.013 10495 0.014 683 68 0.016 072 22 0.017 242 63 0.018 213 31
0.000 088 758 38 0.0000655422* 0.00006825494 0.000072 115 93 0.000077 166 27 0.000 082 941 38 0.000089 425 57
mation useful for rank estimation can be extracted from canonical correlations of the eigenvectors. The example presented here suggests that an algorithm incorporating canonical correlations of the eigenvectors will outperform traditional methods, but more experience is needed to fine tune the parameters of the algorithm. LITERATURE CITED (1) Rasmussen, G. T.; Isenhour, T. L.: Lowry, S. R.; Rltter, G. L. Anal. Chim. Acta 1978, 103, 213.
Xin M. Tu Donald S. Burdick* Institute of Statistics and Decision Sciences Department of Mathematics Duke University Durham, North Carolina 27706 David W. Millican Linda B . McGown
Department of Chemistry Duke University Durham, North Carolina 27706 RECEIVED for review April 10, 1989. Accepted June 14, 1989. L. B. McGown is grateful for support for this project from the Department of Energy (Grant Number DE-FG05-88ER13931).
CORRECTION Separation of Two Components of Horse Myoglobin by Isoelectric Focusing Field-Flow Fractionation
J. Chmeljk, M. Deml, and J. JanEa (Anal. Chem. 1989,61, 912-914). The manuscript received and accepted dates for this correspondence were inadvertently omitted on publication. The correct dates are as follows: Received for review April 11,1988. Revised manuscript received December 30, 1988. Accepted January 17, 1989.
