Given a set of k-tuples ( x11, x12, . . ., x1k), ( x21, x22, . . ., x2k), . . ., and ( xn1, xn2, . . ., xnk), the extent of their association, or agreement, may be measured by means of the coefficient of concordance:
Where Ri is the sum of the ranks assigned to xi1, xi2, . . ., and xik when the x’s with the second subscript 1 are ranked among themselves and so are the x’s with the second subscript 2, . . ., and the x’s with the second subscript k. What are the maximum and minimum values of W, and what do they reflect with respect to the agreement, or lack of agreement, of the values of the k random variables?
Answer to relevant QuestionsThe following are the amounts of time, in minutes, that it took a random sample of 20 technicians to perform a certain task: 18.1, 20.3, 18.3, 15.6, 22.5, 16.8, 17.6, 16.9, 18.2, 17.0, 19.3, 16.5, 19.5, 18.6, 20.0, 18.8, ...On what statistic do we base our decision and for what values of the statistic do we reject the null hypothesis if we have a random sample of size n = 10 and are using the signed- rank test at the 0.05 level of significance ...With reference to the data on page 460 and Example 16.6, calculate U as defined in Exercise 16.8 and verify that it equals the value obtained for U1. The following are six years’ quarterly sales (in millions of dollars) of a manufacturer of heavy machinery: 83.8, 102.5, 121.0, 90.5, 106.6, 104.8, 114.7, 93.6, 98.9, 96.9, 122.6, 85.6, 103.2, 96.9, 118.0, 92.1, 100.5, ...Rework Exercise 16.44 using the signed- rank test. In exercise The following are the miles per gallon obtained with 40 tankfuls of a certain kind of gasoline: Assuming that the underlying conditions are met, use the sign ...
Post your question