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Corrigendum to: “Block-circulant matrices for constructing optimal Latin hypercube designs” [J. Statist. Plann. Inference 141 (2011) 1933–1943]
Journal of Statistical Planning and Inference 142 (2012) 1623
Contents lists available at SciVerse ScienceDirect
Journal of Statistical Planning and Inference journal homepage: www.elsevier.com/locate/jspi
Corrigendum
Corrigendum to: ‘‘Block-circulant matrices for constructing optimal Latin hypercube designs’’ [J. Statist. Plann. Inference 141 (2011) 1933–1943] S.D. Georgiou n, S. Stylianou Department of Statistics and Actuarial-Financial Mathematics, University of the Aegean, Karlovassi 83200, Samos, Greece
a r t i c l e i n f o Article history: Received 10 December 2011 Accepted 4 January 2012 Available online 13 January 2012
The authors regret that some typos occurred in Table 1 of the published version of the paper.
Replace the entry (33,16, Corollary 3) by (33,16, Corollary 3ii). Entry (32,16, Corollary 3i): the sequences A1¼ (1, 3), A2¼( 5, 7), A3¼(9,11), A4¼ ( 13,15), A5¼(17,19), A6¼( 21,23), A7 ¼(25, 27), A8¼( 29, 31) should be replaced by A1¼(1, 3), A2¼(5, 7), A3¼(9, 11), A4¼ (13, 15), A5¼ (17, 19), A6¼(21,23), A7¼ (25,27), A8 ¼(29, 31).
Entry (33,16, Corollary 3ii): the sequences A1¼(1,2), A2¼(3,4), A3¼ (5,6), A4¼( 7, 8), A5¼(9,10), A6¼( 11, 12), A7¼ ( 13, 14), A8¼(15, 16), should be replaced by A1¼(1,2), A2¼(3,4), A3¼(5,6), A4¼(7,8), A5¼(9,10), A6¼(11, 12), A7¼ (13,14), A8¼(15, 16).
Entry (64,32, Corollary 3i): the corresponding sequences A1¼(1, 3, 5, 7), A2¼ (9,11, 13, 15), A3¼(17, 19, 21,23), A4¼(25,27,29,31), A5¼(33, 35, 37,39), A6¼(41,43,45,47), A7¼(49, 51,53, 55), A8¼(57,59, 61, 63) should be replaced by A1¼(1, 3, 5, 7), A2¼ (9, 11, 13, 15), A3¼(17, 19, 21, 23), A4¼(25,27,29, 31), A5¼(33,35,37, 39), A6¼(41, 43,45, 47), A7¼(49,51,53,55), A8¼(57,59, 61,63).
All cases with eight sequences (including the corrected sequences given above), the indices of the sequences were typed incorrectly. Relabel sequences from ðA1 , A2 , A3 , A4 , A5 , A6 , A7 , A8 Þ to ðA1 , A3 , A5 , A7 , A2 , A4 , A6 , A8 Þ to achieve the required matching for the given Kharaghani array.
DOI of original article: 10.1016/j.jspi.2010.12.006 n Corresponding author. E-mail address: [email protected] (S.D. Georgiou). 0378-3758/$ - see front matter & 2012 Elsevier B.V. All rights reserved. doi:10.1016/j.jspi.2012.01.003
Contents lists available at SciVerse ScienceDirect
Journal of Statistical Planning and Inference journal homepage: www.elsevier.com/locate/jspi
Corrigendum
Corrigendum to: ‘‘Block-circulant matrices for constructing optimal Latin hypercube designs’’ [J. Statist. Plann. Inference 141 (2011) 1933–1943] S.D. Georgiou n, S. Stylianou Department of Statistics and Actuarial-Financial Mathematics, University of the Aegean, Karlovassi 83200, Samos, Greece
a r t i c l e i n f o Article history: Received 10 December 2011 Accepted 4 January 2012 Available online 13 January 2012
The authors regret that some typos occurred in Table 1 of the published version of the paper.
Replace the entry (33,16, Corollary 3) by (33,16, Corollary 3ii). Entry (32,16, Corollary 3i): the sequences A1¼ (1, 3), A2¼( 5, 7), A3¼(9,11), A4¼ ( 13,15), A5¼(17,19), A6¼( 21,23), A7 ¼(25, 27), A8¼( 29, 31) should be replaced by A1¼(1, 3), A2¼(5, 7), A3¼(9, 11), A4¼ (13, 15), A5¼ (17, 19), A6¼(21,23), A7¼ (25,27), A8 ¼(29, 31).
Entry (33,16, Corollary 3ii): the sequences A1¼(1,2), A2¼(3,4), A3¼ (5,6), A4¼( 7, 8), A5¼(9,10), A6¼( 11, 12), A7¼ ( 13, 14), A8¼(15, 16), should be replaced by A1¼(1,2), A2¼(3,4), A3¼(5,6), A4¼(7,8), A5¼(9,10), A6¼(11, 12), A7¼ (13,14), A8¼(15, 16).
Entry (64,32, Corollary 3i): the corresponding sequences A1¼(1, 3, 5, 7), A2¼ (9,11, 13, 15), A3¼(17, 19, 21,23), A4¼(25,27,29,31), A5¼(33, 35, 37,39), A6¼(41,43,45,47), A7¼(49, 51,53, 55), A8¼(57,59, 61, 63) should be replaced by A1¼(1, 3, 5, 7), A2¼ (9, 11, 13, 15), A3¼(17, 19, 21, 23), A4¼(25,27,29, 31), A5¼(33,35,37, 39), A6¼(41, 43,45, 47), A7¼(49,51,53,55), A8¼(57,59, 61,63).
All cases with eight sequences (including the corrected sequences given above), the indices of the sequences were typed incorrectly. Relabel sequences from ðA1 , A2 , A3 , A4 , A5 , A6 , A7 , A8 Þ to ðA1 , A3 , A5 , A7 , A2 , A4 , A6 , A8 Þ to achieve the required matching for the given Kharaghani array.
DOI of original article: 10.1016/j.jspi.2010.12.006 n Corresponding author. E-mail address: [email protected] (S.D. Georgiou). 0378-3758/$ - see front matter & 2012 Elsevier B.V. All rights reserved. doi:10.1016/j.jspi.2012.01.003