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Since 0.05 and n1 n2 10, Appendix Table IX gives the critical value as w0.05 78. If either w1 or w2 is less than or equal to w0.05 78, we will reject H0: 1 2.

Table 15-3 Axial Stress for Two Aluminum-Lithium Alloys Alloy 1 238 psi 3195 3246 3190 3204 3254 psi 3229 3225 3217 3241 3261 psi 3187 3209 3212 3258 Alloy 2 3248 psi 3215 3226 3240 3234

Computations: The data from Table 15-3 are analyzed in ascending order and ranked as follows:

Public Sub BindEmployees() Dim a As New ArrayList() a.Add(New Employee(1, GlennLast , Glenn , 50000)) a.Add(New Employee(2, JoeLast , Joe , 42000)) a.Add(New Employee(3, MaryLast , Mary , 31000)) a.Add(New Employee(4, FrankLast , Frank , 36000)) a.Add(New Employee(5, AnneLast , Anne , 24000)) DataList1.DataSource = a DataList1.DataBind() End Sub

Alloy Number 2 1 1 1 2 2 2 1 1 2 1 2 1 2 1 1 2 1 2 2 Axial Stress 3187 psi 3190 3195 3204 3209 3212 3215 3217 3225 3226 3229 3234 3238 3240 3241 3246 3248 3254 3258 3261 Rank 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

18 D

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The sum of the ranks for alloy 1 is w1 and for alloy 2 n2 21n1 n2 12 110 102110 10 12 w1 99 111 2 2 Conclusions: Since neither w1 nor w2 is less than or equal to w0.05 78, we cannot reject the null hypothesis that both alloys exhibit the same mean axial stress. w2 1n1 2 3 4 8 9 11 13 15 16 18 99

An event method must be created in the code-behind page to set the SelectedIndex of the DataList when a button is clicked. Do this by clicking the Class Name drop-down list and clicking DataList1. In the Method drop-down list, click ItemCommand, which inserts code for this event. In this method, add code to set the SelectedIndex and call the BindEmployees method as follows:

15-4.2

When both n1 and n2 are moderately large, say, greater than 8, the distribution of w1 can be well approximated by the normal distribution with mean n1 1n1 n2 2 12

Private Sub DataList1_ItemCommand(ByVal source As Object, _ ByVal e As System.Web.UI.WebControls.DataListCommandEventArgs) _ Handles DataList1.ItemCommand DataList1.SelectedIndex = e.Item.ItemIndex BindEmployees() End Sub

2 W1

n2 12

Another event method must be added in the code-behind page to clear the SelectedIndex when no details are desired. Do this by clicking the Class Name drop-down list and then clicking DataList1. In the Method drop-down list, click CancelCommand, which inserts code for the event. In this method, add code to set the SelectedIndex to minus one (-1) and call the BindEmployees method as follows:

(15-8)

as a statistic, and the appropriate critical region is 0 z0 0 z /2, z0 depending on whether the test is a two-tailed, upper-tail, or lower-tail test.

Private Sub DataList1_CancelCommand(ByVal source As Object, _ ByVal e As System.Web.UI.WebControls.DataListCommandEventArgs) _ Handles DataList1.CancelCommand DataList1.SelectedIndex = -1 BindEmployees() End Sub

15-4.3

In Section 15-3.4 we discussed the comparison of the t-test with the Wilcoxon signed-rank test. The results for the two-sample problem are identical to the one-sample case. That is, when the normality assumption is correct, the Wilcoxon rank-sum test is approximately 95% as ef cient as the t-test in large samples. On the other hand, regardless of the form of the distributions, the Wilcoxon rank-sum test will always be at least 86% as ef cient. The ef ciency of the Wilcoxon test relative to the t-test is usually high if the underlying distribution has heavier tails than the normal, because the behavior of the t-test is very dependent on the sample mean, which is quite unstable in heavy-tailed distributions.

EXERCISES FOR SECTION 15-4

Finally, the item template is modified to display a Display Details button and the employee s full name. The selected item template contains all the details plus a Hide Details button. The following code contains the completed DataList1 control:

You can further customise a report using Design view. You can change the formatting of fields, move fields around and more. You can even apply conditional formatting to the report by clicking the Conditional Formatting button in the Format tab. (For more about conditional formatting, refer to the section Use Conditional Formatting earlier in this chapter.)

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