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The log rank test is based on a comparison
of the observed and expected numbers of death, with the expected number calculated under
the assumption of no difference in survival between groups. EA and EB
are calculated as shown in the previous slide. OA and OB are the
actual, observed numbers of deaths in group A and group B. The log rank test statistics is
compared with the critical values of a Chi-square distribution. The larger the
discrepancies between the observed and expected number of deaths in the groups, the more
likely the log rank test statistics will be larger than the critical value of a Chi-square
distribution with 1 degree of freedom (in the case of two groups); and therefore more
likely to reject the null hypothesis of no difference. |