UE Preparation: ANOVA / Tukey HSD

In advance of our Friday session, please work on the following problem. There are multiple ways to approach the problem:

By hand (not recommended)
With a spreadsheet (recommended)
- Remember that in both MS Excel and OpenOffice/LibreOffice Calc there are tools for doing ANOVA
  - Excel: Data>Data Analysis
  - Calc: Data>Statistics
- Sometimes the ANOVA function in Calc gives an error. If so, then in the cell where “Total” is calculated replace the absolute referencing by columns with a block that represents all the data. For example if the function is =DEVSQ($B$2:$B$6,$C$2:$C$6,$D$2:$D$6,$E$2:$E$6) replace it with =DEVSQ(B2:E6)
Using an online ANOVA calculator. These all work
- http://vassarstats.net/ – Select ANOVA along the left hand side then the One-way Anova calculator. This one is nice because it also does the Tukey HSD test.
- http://easycalculation.com/statistics/one-way-anova.php
- http://onlinestatbook.com/stat_analysis/index.html – This is by the author of our book, and it has built in data sets, including Smiles & Leniency, but it is a little harder to enter the data than the Vassar calculator

You should be able to take this from data to ANOVA to Tukey HSD (if ANOVA gives you the green light)

Here is the data

575	565	600	725
542	593	651	700
530	590	610	715
539	579	637	685
570	610	629	710

Where the columns represent different levels of the factor Power and the rows are the samples for each power level.