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<asp:DataList id=DataList1 runat= server > <itemtemplate> <%# string.Format( {0:D4} ,Container.DataItem.EID ) %> <%# DataBinder.Eval(Container.DataItem, LastName )%> <%# DataBinder.Eval(Container.DataItem, FirstName )%> <%# DataBinder.Eval(Container.DataItem, Salary , {0:C} )%> </ItemTemplate> </asp:DataList>

15-3.2

1212n 24

Therefore, a test of H0:

The browser output (see the left window in Figure 6.6) shows a line for each employee. Taking a peek at the browser s source code reveals that the DataList generated a table with one cell for each of the employees.

(15-6)

C 15

An appropriate critical region for either the two-sided or one-sided alternative hypotheses can be chosen from a table of the standard normal distribution.

Figure 6.6 Shows a line (left) for each employee and then (right) shows a cleaner version, with a table embedded into the item template.

15-3.3

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The Wilcoxon signed-rank test can be applied to paired data. Let (X1j, X2j), j 1, 2, . . . , n be a collection of paired observations from two continuous distributions that differ only with respect to their means. (It is not necessary that the distributions of X1 and X2 be symmetric.) This assures that the distribution of the differences Dj X1j X2j is continuous and symmetric. Thus, the null hypothesis is H0: 1 0. We initially con2, which is equivalent to H0: D sider the two-sided alternative H1: 1 (or H1: D 0). 2 To use the Wilcoxon signed-rank test, the differences are rst ranked in ascending order of their absolute values, and then the ranks are given the signs of the differences. Ties are assigned average ranks. Let W be the sum of the positive ranks and W be the absolute value of the sum of the negative ranks, and W min(W , W ). If the observed value w w*, the null hypothesis H0: 1 0) is rejected where w* is chosen from Appendix Table VIII. 2 (or H0: D For one-sided tests, if the alternative is H1: 1 0), reject H0 if w w*; 2 (or H1: D and if H1: 1 (or H1: D 0), reject H0 if w w*. Be sure to use the one-sided test 2 signi cance levels shown in Appendix Table VIII.

6

EXAMPLE 15-5

We will apply the Wilcoxon signed-rank test to the fuel-metering device test data used previously in Example 15-3. The eight-step hypothesis-testing procedure can be applied as follows: 1. The parameters of interest are the mean fuel mileage performance for the two metering devices.

In the next example, some formatting is added by placing a table inside the item template, as shown in the following code:

2. H0: 1 2 or, equivalently, H0: 3. H1: 1 2 or, equivalently, H1: 4. 0.05 5. The test statistic is w

where w and w are the sums of the positive and negative ranks of the differences in Table 15-2. 6. Since 0.05 and n 12, Appendix Table VIII gives the critical value as w* 13. 0.05 We will reject H0: D 0 if w 13. 7. Computations: Using the data in Table 15-2, we compute the following signed ranks:

Car 7 12 8 6 2 4 5 1 9 10 11 3 Difference 0.2 0.3 0.4 0.5 0.6 0.7 0.7 0.8 0.9 1.0 1.1 1.3 Signed Rank 1 2 3 4 5 6.5 6.5 8 9 10 11 12

<asp:DataList id=DataList1 runat= server > <itemtemplate> <table> <tr><td>Employee ID:</td> <td><b><%# string.Format( {0:D4} ,Container.DataItem.EID ) %></b> </td></tr> <tr><td>Employee Name: </td> <td><b><%# DataBinder.Eval(Container.DataItem, LastName )%>, <%# DataBinder.Eval(Container.DataItem, FirstName )%></b> </td></tr> <tr><td>Salary: </td> <td><b> <%# DataBinder.Eval(Container.DataItem, Salary , {0:C} )%> </b></td></tr> </table> </ItemTemplate> </asp:DataList>

22.5. Therefore, min155.5, 22.52 22.5

16 17

Conclusions: Since w 22.5 is not less than or equal to w* 13, we cannot reject the 0.05 null hypothesis that the two metering devices produce the same mileage performance.

This code will nest a table inside each of the cells that the DataList originally produced. The browser output (see the right window in Figure 6.6) shows a much cleaner appearance. Although the last example was cleaner looking, it lacks a header, and it can be difficult to see where one employee ends and another employee starts. In the following example, an alternate item style is created. This is better than the Repeater, because the layout from the item template does not need to be copied. A header and footer are supplied here as well.

15-3.4

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