Using SAS

One-wayANOVA..Variables in thisdataset(in order) are:fund,cat(fundcategory: 1=Aggressive growth,2=Long-termGrowth,3=Growthand income,4=income),load (N= no load,L=load),vol (volatility:lettergrade fromA+toF,withA+=leastvariabilityand F =mostvariability),OPI(OverallPerformanceIndex:higher = better).See textbookfor more details.

1. Createand apply a formatthatwill appropriatelyidentifythe4 levels ofthefund category[cat]variable. Also createmeaningfullabels forthe OPIand catvariable.Thelabels/formattingwill improve thereadabilityoftheboxplot below.
2. Createa boxplotofOPIby fundcategory.Make sure themean is plottedfor each group.
3. Ina small table,reportthesample size,mean,standarddeviation,minimum, and maximum ofOPIforeach fundcategorygroup.Commenton whetherthe standarddeviationsare similar across groups.
4. Inthecontextofthisproblem,writethreeformsofthe 1-way ANOVAmodel, along withthecorresponding null and alternativehypotheses.
5. Use SAStoperforman ANOVAand toobtainbothTukey'sand Scheffe's testsformultiplepairwise comparisons.
6. (3:W)Summarize your conclusions.

Data:

20CENTUR 1 N F 89.1 AIMAGGR 1 L F+ 91.6 STEINROE 1 N F+ 88.3 FPACAPIT 1 L D 91.4 THIRDAVE 1 N B 87.4 PHOENIX 1 L D 88.2 VANGUARD 2 N D+ 93.1 MFSRESEA 2 L D+ 94.7 FIDELITY 2 N B 90.6 MAIRS 2 N C 98.3 GUARDIAN 2 L C 92.4 AIMVALUE 2 L D+ 90.8 LEXINGTO 3 N C 90.5 FUNDAMEN 3 L B 91.9 OPPENHEI 3 L D+ 90 MASVALUE 3 N B 99 VANGUARD 3 N B 88.1 PUTNAM 3 L B+ 90 FEDERATE 4 L B 89.7 UNITEDIN 4 L C+ 76 BENHAM 4 N B+ 90 MANAGERS 4 N B 83.9 PIONEER 4 L B+ 83.2 ONEGROUP 4 N B+ 82.5