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For example, if the input range contains quarterly sales figures, sampling with a periodic rate of four places the values from the same quarter in the output range. The Two-Sample t-Test analysis tools test for equality of the population means that underlie each sample. The three tools employ different assumptions: For all three tools below, a t-Statistic value, t, is computed and shown as "t Stat" in the output tables. Depending on the data, this value, t, can be negative or nonnegative. This analysis tool and its formula perform a paired two-sample Student's t-Test to determine whether observations that are taken before a treatment and observations taken after a treatment are likely to have come from distributions with equal population means.

This t-Test form does not assume that the variances of both populations are equal. Among the results that are generated by this tool is pooled variance, an accumulated measure of the spread of data about the mean, which is derived from the following formula. This analysis tool performs a two-sample student's t-Test.

This t-Test form assumes that the two data sets came from distributions with the same variances. It is referred to as a homoscedastic t-Test.

EXCEL Data Analysis Tool Pack for Mac/Apple

You can use this t-Test to determine whether the two samples are likely to have come from distributions with equal population means. This t-Test form assumes that the two data sets came from distributions with unequal variances. It is referred to as a heteroscedastic t-Test. As with the preceding Equal Variances case, you can use this t-Test to determine whether the two samples are likely to have come from distributions with equal population means.

Use this test when there are distinct subjects in the two samples. Use the Paired test, described in the follow example, when there is a single set of subjects and the two samples represent measurements for each subject before and after a treatment.

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The following formula is used to calculate the degrees of freedom, df. Because the result of the calculation is usually not an integer, the value of df is rounded to the nearest integer to obtain a critical value from the t table. The Excel worksheet function T. TEST uses the calculated df value without rounding, because it is possible to compute a value for T.

TEST with a noninteger df. Because of these different approaches to determining the degrees of freedom, the results of T. The z-Test: Two Sample for Means analysis tool performs a two sample z-Test for means with known variances.

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This tool is used to test the null hypothesis that there is no difference between two population means against either one-sided or two-sided alternative hypotheses. If variances are not known, the worksheet function Z. TEST should be used instead.

When you use the z-Test tool, be careful to understand the output. The two-tailed result is just the one-tailed result multiplied by 2.

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The z-Test tool can also be used for the case where the null hypothesis is that there is a specific nonzero value for the difference between the two population means. For example, you can use this test to determine differences between the performances of two car models. You can always ask an expert in the Excel Tech Community , get support in the Answers community , or suggest a new feature or improvement on Excel User Voice.

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Create a histogram in Excel Create a Pareto chart in Excel Load the Analysis ToolPak in Excel. Overview of formulas in Excel. How to avoid broken formulas. Find and correct errors in formulas. Excel keyboard shortcuts and function keys. Excel functions alphabetical. Excel functions by category. Single Factor This tool performs a simple analysis of variance on data for two or more samples.

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Two-Factor with Replication This analysis tool is useful when data can be classified along two different dimensions. Click Go. Under the File tab, under the Help heading, click on Options. Excel for Mac Prior to If your version is earlier than , check to see if the command, Data Analysis , is available on the Tools menu in Excel. Start Excel. Another Option: However, the following is a free third-party tool that offers similar functionality.



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You can find this product, HERE. Click the Tools menu, and then click Excel Add-ins. If you get a prompt that the Analysis ToolPak is not currently installed on your computer, click Yes to install it. Now the Data Analysis command is available on the Data tab. Option 1: Option 2: Download StatPlus: You can use StatPlus: Visit the AnalystSoft Web site , and then follow the instructions on the download page.

After you have downloaded and installed StatPlus: Help for StatPlus: