Question: Calculate the deviance chi-square goodness-of-fit test by hand for the Cancercells data given in Table 7.3. Expected counts, degrees of freedom, and p-values are found
Calculate the deviance chi-square goodness-of-fit test by hand for the Cancercells data given in Table 7.3. Expected counts, degrees of freedom, and p-values are found the same way as in the Pearson test. The only difference is in the calculation of the test statistic:
Table 7.3 Cancer cell data classified into groups based on the size of the radius.
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Deviance chi-square test statistic = D2 = 2 à [observed count à ln(observed count / expected count)] (7.26)
Describe differences (if any) between your conclusions here and those from the Pearson test in Question 29.
Median radius Benign MalignantProportion (n) Malignant 115 152 119 2.5 3.5 113 140 85 17 0.017 0.079 0.286 4.5 43 121 212 123 569 6.5 0.984 Total 357
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