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Volumn 138, Issue 2, 2008, Pages 336-351

A review of uniform cross-over designs

Author keywords

Balanced; Bricks; Carry over effects; Cross over design; Nearly balanced; Nearly strongly balanced; Strongly balanced; Uniform; Universal optimality

Indexed keywords


EID: 35348828531     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2007.06.008     Document Type: Article
Times cited : (32)

References (66)
  • 2
    • 0001276723 scopus 로고
    • Quasi-complete Latin squares: construction and randomization
    • Bailey R.A. Quasi-complete Latin squares: construction and randomization. J. Roy. Statist. Soc. Ser. B 46 (1984) 323-334
    • (1984) J. Roy. Statist. Soc. Ser. B , vol.46 , pp. 323-334
    • Bailey, R.A.1
  • 3
    • 33646524289 scopus 로고    scopus 로고
    • The construction of nearly balanced and nearly strongly balanced uniform cross-over designs
    • Bate S.T., and Jones B. The construction of nearly balanced and nearly strongly balanced uniform cross-over designs. J. Statist. Plann. Inference 136 (2006) 3248-3267
    • (2006) J. Statist. Plann. Inference , vol.136 , pp. 3248-3267
    • Bate, S.T.1    Jones, B.2
  • 4
    • 0000378057 scopus 로고
    • Change-over designs with complete balance for first residual effects
    • Berenblut I.I. Change-over designs with complete balance for first residual effects. Biometrics 20 (1964) 707-712
    • (1964) Biometrics , vol.20 , pp. 707-712
    • Berenblut, I.I.1
  • 5
    • 3142608518 scopus 로고
    • A review of higher order crossover designs
    • Bishop S.H., and Jones B. A review of higher order crossover designs. J. Appl. Statist. 11 1 (1984) 29-50
    • (1984) J. Appl. Statist. , vol.11 , Issue.1 , pp. 29-50
    • Bishop, S.H.1    Jones, B.2
  • 6
    • 0034400643 scopus 로고    scopus 로고
    • Cross-over designs in the presence of higher order carry-overs
    • Bose M., and Mukherjee B. Cross-over designs in the presence of higher order carry-overs. Austral. New Zealand J. Statist. 42 2 (2000) 235-244
    • (2000) Austral. New Zealand J. Statist. , vol.42 , Issue.2 , pp. 235-244
    • Bose, M.1    Mukherjee, B.2
  • 7
    • 0037888786 scopus 로고
    • Complete counterbalancing of immediate sequential effects in a Latin square design
    • Bradley J.V. Complete counterbalancing of immediate sequential effects in a Latin square design. J. Amer. Statist. Assoc. 53 (1958) 525-528
    • (1958) J. Amer. Statist. Assoc. , vol.53 , pp. 525-528
    • Bradley, J.V.1
  • 8
    • 0039080352 scopus 로고
    • A note on Grants's discussion of the Latin square principle in the design of experiments
    • Bugelski B.R. A note on Grants's discussion of the Latin square principle in the design of experiments. Psychological Bull. 46 (1949) 49-50
    • (1949) Psychological Bull. , vol.46 , pp. 49-50
    • Bugelski, B.R.1
  • 9
    • 0001100627 scopus 로고
    • Balanced repeated measurements designs
    • Corrigendum 11 (1983) 349
    • Cheng C.S., and Wu C.F. Balanced repeated measurements designs. Ann. Statist. 8 (1980) 1272-1283 Corrigendum 11 (1983) 349
    • (1980) Ann. Statist. , vol.8 , pp. 1272-1283
    • Cheng, C.S.1    Wu, C.F.2
  • 10
    • 0027033825 scopus 로고
    • On assessment of bioequivalence with high-order crossover designs
    • Chow S.C., and Liu J.P. On assessment of bioequivalence with high-order crossover designs. J. Biopharmaceutical Statist. 2 2 (1992) 239-256
    • (1992) J. Biopharmaceutical Statist. , vol.2 , Issue.2 , pp. 239-256
    • Chow, S.C.1    Liu, J.P.2
  • 11
    • 1342309496 scopus 로고    scopus 로고
    • Photoinhibition: a link between effects of the environment on Eucalypt leaf chemistry and herbivory
    • Close D., McArthur C., Paterson S., Fitzgerald H., Walsh A., and Kincade T. Photoinhibition: a link between effects of the environment on Eucalypt leaf chemistry and herbivory. Ecology 84 11 (2003) 2952-2966
    • (2003) Ecology , vol.84 , Issue.11 , pp. 2952-2966
    • Close, D.1    McArthur, C.2    Paterson, S.3    Fitzgerald, H.4    Walsh, A.5    Kincade, T.6
  • 12
    • 0001112214 scopus 로고
    • Long-term agricultural experiments
    • Cochran W.G. Long-term agricultural experiments. J. Roy. Statist. Soc. Ser. B 6 (1939) 104-148
    • (1939) J. Roy. Statist. Soc. Ser. B , vol.6 , pp. 104-148
    • Cochran, W.G.1
  • 13
    • 85010248141 scopus 로고
    • A double change-over design for dairy cattle feeding experiments
    • Cochran W.G., Autrey K.M., and Cannon C.Y. A double change-over design for dairy cattle feeding experiments. J. Dairy Sci. 24 (1941) 937-951
    • (1941) J. Dairy Sci. , vol.24 , pp. 937-951
    • Cochran, W.G.1    Autrey, K.M.2    Cannon, C.Y.3
  • 14
    • 0041891846 scopus 로고
    • Optimal cross-over experimental designs
    • Collombier D., and Merchermek I. Optimal cross-over experimental designs. Sankhyā B 55 2 (1993) 249-261
    • (1993) Sankhyā B , vol.55 , Issue.2 , pp. 249-261
    • Collombier, D.1    Merchermek, I.2
  • 15
    • 0000015921 scopus 로고
    • Cyclic change-over designs
    • Davis A.W., and Hall W.B. Cyclic change-over designs. Biometrika 56 (1969) 283-293
    • (1969) Biometrika , vol.56 , pp. 283-293
    • Davis, A.W.1    Hall, W.B.2
  • 17
    • 76949133584 scopus 로고
    • Balanced latin square designs in psychological research
    • Edwards A.L. Balanced latin square designs in psychological research. Amer. J. Phys. 64 (1952) 598-603
    • (1952) Amer. J. Phys. , vol.64 , pp. 598-603
    • Edwards, A.L.1
  • 18
    • 84982073657 scopus 로고
    • A modified latin square design for taste-testing
    • Ferris G.E. A modified latin square design for taste-testing. J. Food Res. 22 (1957) 251-258
    • (1957) J. Food Res. , vol.22 , pp. 251-258
    • Ferris, G.E.1
  • 19
    • 35348908175 scopus 로고
    • Crossover designs in bioassay
    • Finney D.J.H. Crossover designs in bioassay. Proc. Roy. Soc. 145B (1965) 42-61
    • (1965) Proc. Roy. Soc. , vol.145 B , pp. 42-61
    • Finney, D.J.H.1
  • 20
    • 0007071186 scopus 로고
    • Complete latin squares and related experimental designs
    • Freeman G.H. Complete latin squares and related experimental designs. J. Roy. Statist. Soc. Ser. B 41 (1979) 253-262
    • (1979) J. Roy. Statist. Soc. Ser. B , vol.41 , pp. 253-262
    • Freeman, G.H.1
  • 21
    • 35348869470 scopus 로고
    • The latin square principle in the design and analysis of psychological experiments
    • Grant D.A. The latin square principle in the design and analysis of psychological experiments. Psychol. Bull. 45 (1948) 427-442
    • (1948) Psychol. Bull. , vol.45 , pp. 427-442
    • Grant, D.A.1
  • 23
    • 0001102027 scopus 로고
    • Repeated measurements designs II
    • Hedayat A., and Afsarinejad K. Repeated measurements designs II. Ann. Statist. 6 3 (1978) 619-628
    • (1978) Ann. Statist. , vol.6 , Issue.3 , pp. 619-628
    • Hedayat, A.1    Afsarinejad, K.2
  • 24
    • 0042202638 scopus 로고    scopus 로고
    • Universal optimality of balanced uniform crossover designs
    • Hedayat A., and Yang M. Universal optimality of balanced uniform crossover designs. Ann. Statist. 31 3 (2003) 978-983
    • (2003) Ann. Statist. , vol.31 , Issue.3 , pp. 978-983
    • Hedayat, A.1    Yang, M.2
  • 25
    • 2942536763 scopus 로고    scopus 로고
    • Universal optimality for selected crossover designs
    • Hedayat A., and Yang M. Universal optimality for selected crossover designs. J. Amer. Statist. Assoc. 99 (2004) 461-465
    • (2004) J. Amer. Statist. Assoc. , vol.99 , pp. 461-465
    • Hedayat, A.1    Yang, M.2
  • 26
    • 0039672587 scopus 로고    scopus 로고
    • Row-complete Latin squares of every composite order exist
    • Higham J. Row-complete Latin squares of every composite order exist. J. Combin. Design 6 1 (1998) 63-77
    • (1998) J. Combin. Design , vol.6 , Issue.1 , pp. 63-77
    • Higham, J.1
  • 27
    • 33646522047 scopus 로고    scopus 로고
    • Generating pairwise balanced Latin squares
    • Isaac P.D., Dean A.M., and Ostrom T. Generating pairwise balanced Latin squares. Statist. Appl. 3 (2001) 25-46
    • (2001) Statist. Appl. , vol.3 , pp. 25-46
    • Isaac, P.D.1    Dean, A.M.2    Ostrom, T.3
  • 29
    • 33646534937 scopus 로고
    • Using bricks to build block designs
    • Jones B. Using bricks to build block designs. J. Roy. Statist. Soc. Ser. B 47 (1985) 349-356
    • (1985) J. Roy. Statist. Soc. Ser. B , vol.47 , pp. 349-356
    • Jones, B.1
  • 30
    • 0030014455 scopus 로고    scopus 로고
    • Modelling and design of cross-over trials
    • Jones B., and Donev A. Modelling and design of cross-over trials. Statist. Med. 15 (1996) 1435-1446
    • (1996) Statist. Med. , vol.15 , pp. 1435-1446
    • Jones, B.1    Donev, A.2
  • 32
    • 0001253062 scopus 로고
    • Construction and optimality of generalized Youden designs
    • Srivastava J.N. (Ed), North-Holland, Amsterdam
    • Kiefer J. Construction and optimality of generalized Youden designs. In: Srivastava J.N. (Ed). A Survey of Statistical Designs and Linear Models (1975), North-Holland, Amsterdam 333-353
    • (1975) A Survey of Statistical Designs and Linear Models , pp. 333-353
    • Kiefer, J.1
  • 33
    • 0017194441 scopus 로고
    • Algebraic results in the theory of serial factorial Design
    • Kok K.L., and Patterson H.D. Algebraic results in the theory of serial factorial Design. Biometrika 63 (1976) 559-565
    • (1976) Biometrika , vol.63 , pp. 559-565
    • Kok, K.L.1    Patterson, H.D.2
  • 34
    • 0000414705 scopus 로고
    • Optimal design and refinement of the linear model with applications to repeated measurements designs
    • Kunert J. Optimal design and refinement of the linear model with applications to repeated measurements designs. Ann. Statist. 11 (1983) 247-257
    • (1983) Ann. Statist. , vol.11 , pp. 247-257
    • Kunert, J.1
  • 35
    • 0000999027 scopus 로고
    • Optimality of balanced uniform repeated measurements designs
    • Kunert J. Optimality of balanced uniform repeated measurements designs. Ann. Statist. 12 (1984) 1006-1017
    • (1984) Ann. Statist. , vol.12 , pp. 1006-1017
    • Kunert, J.1
  • 36
    • 35348820846 scopus 로고
    • Undiminished residual effects designs and their suggested application
    • Lakatos E., and Raghavarao D. Undiminished residual effects designs and their suggested application. Comm. Statist. Theory Methods 16 5 (1987) 1345-1359
    • (1987) Comm. Statist. Theory Methods , vol.16 , Issue.5 , pp. 1345-1359
    • Lakatos, E.1    Raghavarao, D.2
  • 38
    • 0033802359 scopus 로고    scopus 로고
    • Comparative pharmacokinetics of ciprofloxacin, gatifloxacin, grepafloxacin, levofloxacin, trovafloxacin, and moxifloxacin after a single oral administration in healthy volunteers
    • Lubasch A., Keller I., Borner K., Koeppe P., and Lode H. Comparative pharmacokinetics of ciprofloxacin, gatifloxacin, grepafloxacin, levofloxacin, trovafloxacin, and moxifloxacin after a single oral administration in healthy volunteers. Antimicrob. Agents Chemother. 44 (2000) 2600-2603
    • (2000) Antimicrob. Agents Chemother. , vol.44 , pp. 2600-2603
    • Lubasch, A.1    Keller, I.2    Borner, K.3    Koeppe, P.4    Lode, H.5
  • 39
    • 0012929913 scopus 로고
    • Recent developments in crossover designs
    • Matthews J.N.S. Recent developments in crossover designs. Int. Statist. Rev. 56 (1988) 117-127
    • (1988) Int. Statist. Rev. , vol.56 , pp. 117-127
    • Matthews, J.N.S.1
  • 40
    • 0042504519 scopus 로고
    • Modeling and optimality in the design of crossover studies for medical applications
    • Matthews J.N.S. Modeling and optimality in the design of crossover studies for medical applications. J. Statist. Plann. Inference 42 (1994) 89-108
    • (1994) J. Statist. Plann. Inference , vol.42 , pp. 89-108
    • Matthews, J.N.S.1
  • 41
    • 0028691961 scopus 로고
    • Multi-period crossover trials
    • Matthews J.N.S. Multi-period crossover trials. Stat. Methods Med. Res. 3 4 (1994) 383-405
    • (1994) Stat. Methods Med. Res. , vol.3 , Issue.4 , pp. 383-405
    • Matthews, J.N.S.1
  • 42
    • 84977710983 scopus 로고
    • Designs to balance the effect of order of presentation and first-order carry-over effects in hall tests
    • MacFie H.J.H., Bratchell H., Greenhoff K., and Vallis L.V. Designs to balance the effect of order of presentation and first-order carry-over effects in hall tests. J. Sensory Studies 4 (1989) 129-148
    • (1989) J. Sensory Studies , vol.4 , pp. 129-148
    • MacFie, H.J.H.1    Bratchell, H.2    Greenhoff, K.3    Vallis, L.V.4
  • 43
  • 44
    • 35348814597 scopus 로고    scopus 로고
    • McNulty, P.A., 1986. Spacial Velocity Induction and Reference Mark Density. Unpublished Ph.D. dissertation. University of California, Santa Barbara.
  • 45
    • 0029853149 scopus 로고    scopus 로고
    • Sequentially balanced three-squares cross-over designs
    • Newcombe R.G. Sequentially balanced three-squares cross-over designs. Statist. Med. 15 20 (1996) 2143-2147
    • (1996) Statist. Med. , vol.15 , Issue.20 , pp. 2143-2147
    • Newcombe, R.G.1
  • 46
    • 0029364877 scopus 로고
    • Residual effect of chlorhexidine gluconate in 4-day plaque regrowth crossover trials and its implications for study design
    • Newcombe R.G., Addy M., and McKeown S. Residual effect of chlorhexidine gluconate in 4-day plaque regrowth crossover trials and its implications for study design. J. Periodontal Res. 30 5 (1995) 319-324
    • (1995) J. Periodontal Res. , vol.30 , Issue.5 , pp. 319-324
    • Newcombe, R.G.1    Addy, M.2    McKeown, S.3
  • 48
    • 0038036721 scopus 로고
    • Nonadditivity in change-over designs for a quantitative factor at four levels
    • Patterson H.D. Nonadditivity in change-over designs for a quantitative factor at four levels. Biometrika 57 (1970) 537-549
    • (1970) Biometrika , vol.57 , pp. 537-549
    • Patterson, H.D.1
  • 49
    • 18044378087 scopus 로고
    • Quenouille's changeover designs
    • Patterson H.D. Quenouille's changeover designs. Biometrika 60 (1973) 33-45
    • (1973) Biometrika , vol.60 , pp. 33-45
    • Patterson, H.D.1
  • 50
    • 0033557254 scopus 로고    scopus 로고
    • Construction of uniform-balanced cross-over designs for any odd number of treatments
    • Prescott P. Construction of uniform-balanced cross-over designs for any odd number of treatments. Statist. Med. 18 (1999) 265-272
    • (1999) Statist. Med. , vol.18 , pp. 265-272
    • Prescott, P.1
  • 51
    • 0033468964 scopus 로고    scopus 로고
    • Construction of sequentially counterbalanced designs formed from two latin squares
    • Prescott P. Construction of sequentially counterbalanced designs formed from two latin squares. Utilitas Math. 55 (1999) 135-152
    • (1999) Utilitas Math. , vol.55 , pp. 135-152
    • Prescott, P.1
  • 53
    • 0031381586 scopus 로고    scopus 로고
    • Efficient cross-over designs allowing a check on the assumption that direct and carry-over effects do not interact
    • Russell K.G., and Lewis S.M. Efficient cross-over designs allowing a check on the assumption that direct and carry-over effects do not interact. Comm. Statist. Theory Methods 26 12 (1997) 2835-2854
    • (1997) Comm. Statist. Theory Methods , vol.26 , Issue.12 , pp. 2835-2854
    • Russell, K.G.1    Lewis, S.M.2
  • 55
    • 84984368381 scopus 로고
    • Change-over designs with complete balance for first and second order residual effects
    • Sharma V.K. Change-over designs with complete balance for first and second order residual effects. Canad. J. Statist. C 5 (1977) 121-132
    • (1977) Canad. J. Statist. C , vol.5 , pp. 121-132
    • Sharma, V.K.1
  • 56
    • 84985634138 scopus 로고
    • A class of experimental designs balanced for first residuals
    • Sharma V.K. A class of experimental designs balanced for first residuals. Austral. J. Statist. 23 3 (1981) 365-370
    • (1981) Austral. J. Statist. , vol.23 , Issue.3 , pp. 365-370
    • Sharma, V.K.1
  • 57
    • 0006704161 scopus 로고
    • Latin squares to balance immediate residual and other effects
    • Sheehe P.R., and Bross I.D.J. Latin squares to balance immediate residual and other effects. Biometrics 17 (1961) 405-414
    • (1961) Biometrics , vol.17 , pp. 405-414
    • Sheehe, P.R.1    Bross, I.D.J.2
  • 59
    • 0001492766 scopus 로고
    • A note on the construction of digram-balanced latin squares
    • Wagenaar W.A. A note on the construction of digram-balanced latin squares. Psychol. Bull. 72 6 (1969) 384-386
    • (1969) Psychol. Bull. , vol.72 , Issue.6 , pp. 384-386
    • Wagenaar, W.A.1
  • 60
    • 0001269218 scopus 로고
    • Designing consumer trials balanced for first and higher orders of carry-over effect when only a subset of k samples from t may be tested
    • Wakeling I.N., and MacFie H.J.H. Designing consumer trials balanced for first and higher orders of carry-over effect when only a subset of k samples from t may be tested. Food Quality Preference 6 (1995) 299-308
    • (1995) Food Quality Preference , vol.6 , pp. 299-308
    • Wakeling, I.N.1    MacFie, H.J.H.2
  • 61
    • 0032772952 scopus 로고    scopus 로고
    • Single-dose pharmacokinetics and safety of abacavir (1592U89), zidovudine and lamivudine administered alone and in combination in adults with human immunodeficiency virus infection
    • Wang L.H., Chittick G.E., and McDowell J.A. Single-dose pharmacokinetics and safety of abacavir (1592U89), zidovudine and lamivudine administered alone and in combination in adults with human immunodeficiency virus infection. Antimicrob. Agents Chemother. 43 (1999) 1708-1715
    • (1999) Antimicrob. Agents Chemother. , vol.43 , pp. 1708-1715
    • Wang, L.H.1    Chittick, G.E.2    McDowell, J.A.3
  • 62
    • 84970602731 scopus 로고
    • Experimental designs balanced for the estimation of residual effects of treatments
    • Williams E.J. Experimental designs balanced for the estimation of residual effects of treatments. Austral. J. Sci. Res. 2 (1949) 149-168
    • (1949) Austral. J. Sci. Res. , vol.2 , pp. 149-168
    • Williams, E.J.1
  • 63
    • 84970541244 scopus 로고
    • Experimental designs balanced For pairs of residual effects
    • Williams E.J. Experimental designs balanced For pairs of residual effects. Austral. J. Sci. Res. 3 (1950) 351-363
    • (1950) Austral. J. Sci. Res. , vol.3 , pp. 351-363
    • Williams, E.J.1
  • 64
    • 0026577773 scopus 로고
    • Cellulose-based haemodialysis membranes: biocompatibility and functional performance compared
    • Woffindin C., Hoenich N.A., and Matthews J.N.S. Cellulose-based haemodialysis membranes: biocompatibility and functional performance compared. Nephrology Dialysis Transplantation 7 4 (1992) 340-345
    • (1992) Nephrology Dialysis Transplantation , vol.7 , Issue.4 , pp. 340-345
    • Woffindin, C.1    Hoenich, N.A.2    Matthews, J.N.S.3
  • 66
    • 12744275322 scopus 로고
    • Field plans for a systematically designed polycross
    • Wright C.E. Field plans for a systematically designed polycross. Rec. Agric. Res. 14 (1965) 31-41
    • (1965) Rec. Agric. Res. , vol.14 , pp. 31-41
    • Wright, C.E.1


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