Guide to Using Excel 2007 For Basic Statistical Applications To Accompany Business Statistics: A Decision Making Approach, 8th Ed. Chapter 17: Introduction to Nonparametric Statistics By Groebner, Shannon, Fry, & Smith Prentice-Hall Publishing Company Copyright, 2011

Chapter 17 Excel Examples Mann-Whitney U-Test - Large Samples Mann-Whitney U-Test - Large Samples Mann-Whitney U-Test - Large Samples Mann-Whitney U-Test - Large SamplesFuture-Vision Kruskal-Wallis Test Kruskal-Wallis Test Kruskal-Wallis Test Kruskal-Wallis Test Amalgamated Sugar

Mann-Whitney Test - Large Samples - Future Vision Issue: The managers of a local TV station believe median household income for cable subscribers is less than the median for those who do not subscribe. Objective: Use Excel 2007 to perform the appropriate nonparametric statistical test. Date file is Future-Vision.xls Rank file is Future-Vision-Ranks.xls

Large Sample Mann-Whitney Test – Future Vision Open the Excel file FutureVision.xls to view the actual data. Income data must be converted to ranks.

Large Sample Mann-Whitney Test – Future Vision Open the Excel file Future- Vision-Ranks.xls to view the ranked data separated into Non Cable and Cable columns. Hypothesis will be: H o : Med c > Med nc H a : Med c < Med nc

Large Sample Mann-Whitney Test – Future Vision Sum the ranks of each column to compute the U-value. Using equations 17.2 and 17.3 respectively, U(noncable) = 27,412 U(cable) =30,764 Need to look at the alternative hypothesis to decide which is U U(noncable) = U = 27,412 Using Equations 17.4 and 17.5 μ = 29,088; σ = 1, Using Equation 17-6 z = Using α = Do not reject the null hypothesis and conclude that noncable families having higher median incomes than cable families is not supported

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 2007 to determine whether there is a statistically significant difference in downtime between the three shifts. Data file is Amalgamated.xls

Kruskal-Wallis Test – Amalgamated Sugar Open the file Amalgamated.xls

Kruskal-Wallis Test – Amalgamated Sugar Select Add-Ins Select PHStat Select Multiple-Sample Tests Select Kruskal-Wallis Rank Test

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

Kruskal-Wallis Test – Amalgamated Sugar The output presents: The H Test Statistic The p-Value The correct Decision