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9.2 Synopsis

For the two-way crossover design, each patient receives two treatments, A and B, in one of two sequences, that is, A followed by B (A-B) or B followed by A (B-A). Samples of n1 and n2 patients are randomly assigned to each of the two sequence groups, A-B and B-A, respectively (usually, n1 = n2). Response measurements (yijk) are taken for each patient following each treatment for a total of N = 2n1 + 2n2 measurements, where yijk is the measurement for the kth patient in the sequence group for which Treatment i (i = 1 for Treatment A, i = 2 for Treatment B) is given in Period j (j =1, 2). A sample layout is shown in Table 9.1.

Table 9.1. Crossover Layout
SequencePatient NumberPeriod 1Period 2
  (Treatment A)(Treatment B)
A-B1y111y221
 3y112y222
 6y113y223
 7y114y224
 ...
 ...
 ...
  (Treatment B)(Treatment A)
B-A2y211y121
 4y212y122
 5y213y123
 8y214y124
 ...
 ...
 ...



  

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