Guide to Using Excel For Basic Statistical Applications To Accompany Business Statistics: A Decision Making Approach, 6th Ed. Chapter 16: Introduction to Nonparametric Statistics By Groebner, Shannon, Fry, & Smith Prentice-Hall Publishing Company Copyright, 2005

Chapter 16 Excel Examples  Large Sample Mann-Whitney Test Large Sample Mann-Whitney Test Future Vision  Kruskal-Wallis Test Kruskal-Wallis Test Amalgamated Sugar

Large Sample Mann-Whitney Test - Future Vision Issue: The managers of a local TV station believe median household income for cable subscribers is less for those who do not subscribe. Objective: Use Excel to perform the appropriate nonparametric statistical test. Data file is Future-Vision.xls

Open File Future Vision.xls Large Sample Mann-Whitney Test – Future Vision

To separate the income data into two groups, click on PHStat, then Data Preparation and finally on Unstack Data. Large Sample Mann-Whitney Test – Future Vision

Define ranges for the cells containing the income data and the subscriber information. Large Sample Mann-Whitney Test – Future Vision

The income data has been separated into two groups. Large Sample Mann-Whitney Test – Future Vision

Click on PHStat, then Two-Sample Tests and then Wilcoxon Rank Sum Test (the Wilcoxon test is equivalent to the Mann-Whitney U test. Large Sample Mann-Whitney Test – Future Vision

Specify the cells for the two sets of incomes. Large Sample Mann-Whitney Test – Future Vision

The Excel output shows the Z Test Statistic and the decision. Large Sample Mann-Whitney Test – Future Vision

Kruskal-Wallis Test - Amalgamated Sugar Issue: The company is interested in determining whether there is a difference in down-time between its three operational shifts. Objective: Use Excel to determine whether the relationship between the two measures is statistically significant. Data file is Amalgamated.xls

Open File Amalgamated.xls Kruskal-Wallis Test – Amalgamated Sugar

Click on PHStat, then c- Sample Tests and finally Kruskal- Wallis Rank Sum Test. Kruskal-Wallis Test – Amalgamated Sugar

Define the Level of Significance and the Data Range. Kruskal-Wallis Test – Amalgamated Sugar

The output gives the H Test Statistic, the p-value and also indicates the correct decision. Kruskal-Wallis Test – Amalgamated Sugar