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• <br />Arthur C. Townsend <br />April 28, 1981 <br />Page Three <br />6734 + 7258 + 89 <br />2 <br />= 6996 t 63 BP (5046 ± 141 BC). <br />To test the contemporaneity of the two dates, I can use the following <br />formula advocated by Long and Rlppeteau: <br />s 2 = n~(Ci)2 - (~Ci)2 <br />n n2(n-1) <br />where, <br />s 2 = variance of the mean of each date's mean <br />C. =each individual date <br />r1 <br />U <br />An F-test, specified below, can be used then to evalua~e the signifi- <br />cance of any difference between the sample variance (s) and the <br />population variance (~ ): <br />F = s 2/n <br />~ 2 <br />where <br />6 2 = 1 <br />X12 + ~ + ... + Q 2 <br />1 2 n <br />Using the corrected dates from Table 1, a value of F = 3.4322 is <br />obtained which, with ~ (n ) and n-1 (n ) degrees of freedom, is less <br />than the desired value of 23 .84 for [helrejection of the null hypothe- <br />sis at ~ _ .05. Therefore, the variances expressed in the two radio- <br />carbon dates from 5RT139 are not significantly different from an <br />expected population variance and the two dates are essentially <br />contemporaneous. <br />On the basis of these results, I believe that my assignment <br />to the Early Archaic period for the occupation of 5RT139 has been <br />• strengthened. I admit the possibility of multiple occupation <br />(Palen-Indian, and maybe Late Prehistoric on the basis of the 1130 BP <br />date) but no firm evidence for an earlier or later occupation exists <br />at this time. <br />