1. ANOVA. Use data from exercise 19 in Ch. 17 (ex1719_XXX.dat, where XXX is your assigned Canvas group number) from the "Best Mutual Funds" of 1996 from U.S. News & World Report. Variables in this dataset (in order) are: fund, cat (fund category: 1=Aggressive growth, 2=Long-term Growth, 3=Growth and income, 4=income), load (N= no load, L= load), vol (volatility: letter grade from A+ to F, with A+ = least variability and F = most variability), OPI (Overall Performance Index: higher = better). See textbook (Applied Regression Analysis and Other Multivariable Methods (5th ed.)

20CENTUR 1 N F 90.1

AIMAGGR 1 L F+ 92.6

STEINROE 1 N F+ 87.3

FPACAPIT 1 L D 92.4

THIRDAVE 1 N B 88.4

PHOENIX 1 L D 88.2

VANGUARD 2 N D+ 93.1

MFSRESEA 2 L D+ 93.7

FIDELITY 2 N B 91.6

MAIRS2 N C 99.3

GUARDIAN 2 L C 92.4

AIMVALUE 2 L D+ 90.8

LEXINGTO 3 N C 90.5

FUNDAMEN 3 L B 92.9

OPPENHEI 3 L D+ 90

MASVALUE 3 N B 100

VANGUARD 3 N B 89.1

PUTNAM 3 L B+ 91

FEDERATE 4 L B 89.7

UNITEDIN 4 L C+ 77

BENHAM 4 N B+ 89

MANAGERS 4 N B 84.9

PIONEER 4 L B+ 84.2

ONEGROUP 4 N B+ 83.5

1. (2:P)Createand apply a formatthatwill appropriatelyidentifythe4 levels ofthefund category[cat]variable (Reminder:see lab 2).Also createmeaningfullabels forthe OPIand catvariable.Thelabels/formattingwill improve thereadabilityoftheboxplot below.

1. (3:P,O)Createa boxplotofOPIby fundcategory.Make sure themean is plottedfor each group.

1. (2:P,W,O)Ina small table,reportthesample size,mean,standarddeviation,minimum, and maximum ofOPIforeach fundcategorygroup.Commenton whetherthe standarddeviationsare similar across groups.

1. (3:W)Inthecontextofthisproblem,writethreeformsofthe 1-way ANOVAmodel, along withthecorresponding null and alternativehypotheses.

1. (2:P,O)Use SAStoperforman ANOVAand toobtainbothTukey'sand Scheffe's testsformultiplepairwise comparisons.

1. (3:W)Summarize your conclusions.