Sign Test Given Pairs of Values

Use this module if the number of signs is not already known and you want to use paired sample data. If you want to use the sign test and the number of signs is already known, select Sign Test, then select "Given Number of Signs."

Note: This test requires that paired data are already listed in the STATDISK data window

If the data are not already there, close this window and enter or open data sets so that they are listed in columns of the STATDISK Data Window. (To open a data set from Appendix B in the textbook, click on "Datasets" at the top. To manually enter a data set, click on Data, then click on Sample Editor. The data can also be copied into STATDISK from another application, such as Minitab or Excel.)

The test statistic and critical value for the sign test use the following notation:

x = the test statistic representing the number of times the LESS FREQUENT sign occurs
n = the total number of positive and negative signs combined First select the format of the original claim that is to be tested. Note that there are 6 different choices, which can be viewed by clicking on the small box to the right of the default claim ("Median of Differences = 0"). Use the up/down arrow keys to highlight the desired choice, then click on that desired choice. STATDISK will determine the appropriate null hypothesis from the claim selected.

Significance (level): Enter a positive value in decimal form, such as 0.05.

Identify the two columns containing the sample data. The default values are 1 and 2, but they can be changed by clicking on the small box to the right of the default value.

Click on the Evaluate button to obtain the results.

Click on the Print button to print the results.

Click on the Plot button to obtain a graph showing the test statistic and critical value. NOTE: A graph will be generated only when the normal distribution approximation is used.

To close the window, click on the X at the top of the module window.