CF 2202B - ABAB Construction
The value $V = 7frac{1}{16}$ corresponds to the chi-square statistic computed from $k = 11$ categories, as in Eq. (5). The number of degrees of freedom is therefore $nu = k - 1 = 10$.
Rating: 1200
Tags: dp, greedy, implementation
Solve time: 2m 8s
Verified: no
Solution
The value $V = 7\frac{1}{16}$ corresponds to the chi-square statistic computed from $k = 11$ categories, as in Eq. (5). The number of degrees of freedom is therefore $\nu = k - 1 = 10$. To determine whether $V$ is improbably high, one consults the line of Table 1 corresponding to $\nu = 10$, which lists the percentage points of the chi-square distribution for 10 degrees of freedom. This line provides the approximate threshold values against which $V$ can be compared to assess its extremity.
Since $7\frac{1}{16} = 7.0625$ lies between the 50 percent and 75 percent entries for $\nu = 10$, it is not considered significantly high; nevertheless, the appropriate line to use in the table is the one with $\nu = 10$.
∎