(For example, if the two measurement variables are weight and height, the value of the correlation coefficient is unchanged if weight is converted from pounds to kilograms.) The value of any correlation coefficient must be between -1 and +1 inclusive. The correlation coefficient, like the covariance, is a measure of the extent to which two measurement variables "vary together." Unlike the covariance, the correlation coefficient is scaled so that its value is independent of the units in which the two measurement variables are expressed. It provides an output table, a correlation matrix, that shows the value of CORREL (or PEARSON) applied to each possible pair of measurement variables. (Any missing observation for any subject causes that subject to be ignored in the analysis.) The Correlation analysis tool is particularly useful when there are more than two measurement variables for each of N subjects.
The CORREL and PEARSON worksheet functions both calculate the correlation coefficient between two measurement variables when measurements on each variable are observed for each of N subjects. For each of the six possible pairs of pair in the preceding example). For example, in an experiment to measure the height of plants, the plants may be given different brands of fertilizer (for example, A, B, C) and might also be kept at different temperatures (for example, low, high). This analysis tool is useful when data can be classified along two different dimensions. TEST, and the Single Factor Anova model can be called upon instead. With more than two samples, there is no convenient generalization of T. If there are only two samples, you can use the worksheet function T. The analysis provides a test of the hypothesis that each sample is drawn from the same underlying probability distribution against the alternative hypothesis that underlying probability distributions are not the same for all samples.
This tool performs a simple analysis of variance on data for two or more samples. The tool that you should use depends on the number of factors and the number of samples that you have from the populations that you want to test. The Anova analysis tools provide different types of variance analysis. If the Data Analysis command is not available, you need to load the Analysis ToolPak add-in program. To access these tools, click Data Analysis in the Analysis group on the Data tab.
The Analysis ToolPak includes the tools described in the following sections. To perform data analysis on the remainder of the worksheets, recalculate the analysis tool for each worksheet. When you perform data analysis on grouped worksheets, results will appear on the first worksheet and empty formatted tables will appear on the remaining worksheets. The data analysis functions can be used on only one worksheet at a time. Some tools generate charts in addition to output tables.
You provide the data and parameters for each analysis, and the tool uses the appropriate statistical or engineering macro functions to calculate and display the results in an output table. If you need to develop complex statistical or engineering analyses, you can save steps and time by using the Analysis ToolPak.
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