8-5 Resampling: Using Technology for Hypothesis Testing 431 Randomization – One Sample (See Section 7-4 for “Bootstrap Resampling” Tech Center) Access tech supplements, videos, and data sets at www.TriolaStats.com TECH CENTER Statdisk 1. Click Resampling in the top menu. 2. Select the desired type of randomization from the dropdown menu. Options include: • Randomization One Proportion • Randomization One Mean 3. Enter the required inputs which include the claimed value of population mean or proportion and desired number of resamplings. 4. Click Evaluate. StatCrunch 1. Modify the sample data to conform to the null hypothesis (See Examples 1 & 2 for procedure). Enter the modified data in a column such as var3. 2. Click Stat in the top menu. 3. Select Resample in the dropdown menu and Statistic in the submenu. 4. Select the column that contains the modified sample data, such as var3. 5. For Statistic enter mean(var3). 6. For the Resampling method select Bootstrap – with replacement. For the Type of resample select Univariate – resample columns at different rows. 7. For Number of resamples, enter the desired number of resamples, such as 1000. 8. For Other options select Store resampled statistics in data table. 9. Click Compute! 10. A column of means (or proportions) will be generated. Sort the column and find the number of the resampled values that are at least as extreme as the original sample mean (or proportion). Minitab 1. Click Calc in the top menu. 2. Select Resampling from dropdown menu. 3. Select the desired type of randomization from the dropdown menu. Options include: • Randomization Test for 1-Sample Mean • Randomization Test for 1-Sample Proportion 4. Enter the required inputs which include the hypothesized mean or proportion and the desired number of resamplings. 5. Click the Options button and select the format of the alternative hypothesis. 6. Click OK twice. TI-83, 83 84 Plus Calculator 8 us Ca cu ato Not available. R R command not available at time of publication. R is rapidly evolving, and an updated list of statistical commands is available at TriolaStats.com. Excel XLSTAT Add-In 1. Modify the sample data to conform to the null hypothesis (See Examples 1 & 2 for procedure). Enter the modified data in a column such as C. 2. Click the XLSTAT tab in the Ribbon and then click Describing data. 3. Select Resampled statistics from dropdown menu. 4. For Quantitative data, enter the cell range for the modified sample data. 5. For Method, select Bootstrap and enter the desired number of resamples, such as 1000. 6. Click the Outputs tab and confirm Mean and Standard deviation (n-1) are selected under Quantitative data. Also check the Resampled statistics box. 7. Click OK. 8. Results include a list of the resampled statistics. Sort this list and find the number of the resampled values that are at least as extreme as the original sample mean (or proportion).
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