Introduction We now show how to perform post-hoc testing using Tukey’s HSD for two-factor ANOVA. This means that we will assume that we are dealing with a balanced model. As described in Tukey HSD for One-way ANOVA (see Unplanned Comparisons) two means are significantly different if where the critical values qcrit are presented in the Studentized Range q Table based … Read More
I am pleased to announce Release 4.0 of the Real Statistics Resource Pack. The new release is now available for free download (Download Resource Pack) for Excel 2007, 2010 and 2013 environments. The Real Statistics Examples Workbook and Real Statistics Multivariate Examples Workbook have both been updated for capability with the new release and can be downloaded for free. The Real Statistics website … Read More
Basic Concepts The same approach used to calculate a confidence interval for the effect size of a t-test (see Confidence Intervals for Power and Effect Size of t Test) can be employed to create a confidence interval for a noncentrality parameter, and, in turn, Cohen’s effect size and statistical power, for a chi-square goodness of … Read More
Introduction For completeness, we now present another non-parametric replacement for one-way ANOVA, namely Mood’s Median Test. This test is essentially an extension of the Sign Test to two or more variables. We have already described this test for two independent variables in Mood’s Median Test for Two Samples. The Kruskal-Wallis test has more power and … Read More
Basic Concepts The Mood’s Median Test, essentially a two-sample version of the Sign Test, is used to determine whether the medians of two independent samples are equal (the null hypothesis). To perform this test, you need to execute the following steps: Calculate the median m of the combination of the two samples. Create a 2 × 2 … Read More
Basic Concepts The power of the goodness of fit or chi-square independence test is given by where F is the cumulative distribution function (cdf) for the noncentral chi-square distribution χ2(df), xcrit is the χ2(df) critical value for the given value of α and λ = w2n = χ2 is the noncentrality parameter where w is the φ effect … Read More
The following is a summary of all the multivariate functions provided in the Real Statistics Resource Pack. These functions are organized into the following categories: Multivariate normal distribution Mahalanobis Distance and Outliers Hotelling T2 One-way MANOVA Two-way MANOVA Permutational MANOVA Box’s Test Extraction Factor Analysis Principal Component Analysis Multivariate Regression PLS Regression Cluster Analysis Jenks … Read More
Today, I have published release 1.4 of the Real Statistics Resource Pack. This release is backwards compatible with the previous releases, but also includes some new functions and bug fixes. The release is the one that is available on the Free Download page, and includes the following features: 1. Improved non-parametric functions: For the Mann-Whitney, Wilcoxon Rank-Sum … Read More
Abdi, H. (2009) The Greenhouse-Geisser correction. In Neil Salkind (Ed.), Encyclopedia of Research Design. Sage. Thousand Oaks, CA. http://www.utdallas.edu/~herve/abdi-GreenhouseGeisser2010-pretty.pdf Abdi, H. (2010) Coefficient of variation. Encyclopedia of Research Design. Sage. Thousand Oaks, CA https://www.utdallas.edu/~herve/abdi-cv2010-pretty.pdf Abdi, H. & Molin, P. (2007) Lilliefors/Van Soest’s test of normality. Encyclopedia of measurement and statistics. Neil Salkind (Ed.). Sage, Thousand … Read More
Although all the statistical analyses described on this website can be done with standard Excel capabilities, it is often easier to use the supplemental functions and data analysis tools provided in the Real Statistics Resource Pack. The functions provided in the Real Statistics Resource Pack are summarized in Real Statistics Functions. Here we briefly review … Read More