We discuss the advantages and problems of using sequential allocation procedures for assigning treatments in a clinical trial. We use Monte Carlo methods to study the exact distribution of the fourfold chi-squared statistic for the case of no stratifying variables except sequence of entry. We display situations in which the distribution is well-approximated by the chi-squared distribution or by Efron's adjusted chi-squared and situations where these approximations fail. We provide suggestions for recognition and handling of situations in which both approaches fail.
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Halpern et al. (1986) studied this question.
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