STA 6208 Take-Home Portion Exam 3

STA 6208 – Take-Home Portion – Exam 3

2 4 – Full Factorial with 1 replicate- Olive Oil Optimization Study

Description: Results of a 2^4 factorial experiment with factors: Ripening (% pigmentation, levels=30,70) Storage (days, levels=1,5) Mixing Temperature (C, levels=23,34) Mixing Time (minutes, levels=30,80)

Responses: Total phenols (mg/kg) dphenols (Tranformed phenols) Percent yield dyield COI Score dCOI Dtot = Geometric mean of dscores

Obtain all Effects (Main Effects, 2 Factor Interactions, 3-FIs, 4-FI) and create a normal probability plot of effects. Which appear to be most important? Plot ordered effects vs z_((rank-0.5)/16) and determine effects “away” from straight-line. Y = Dtot)

2 4 – Full Factorial with 3 replicates- Entrapment Optimization Study

Description: 2^4 factorial experiment (3 reps per factor combination), measuring risedronate sodium (RS) entrapment efficiency percent (EE%)

Factors: Type of Poly(lactide-co-glycolic acid) (PLGA, -1 = 50:50, +1 = 75:25) Internal Aqueous Phase Volume Ratio (-1 = 1:2. +1 = 1:5) Amount of PLGA (-1 = 250mg, +1 = 500mg) Amount of Drug (-1 = 50mg, +1 = 100mg)

Fit full factorial and test for all effects and interactions. Give recommendations on treatment Combinations to maximize and minimize response

Repeated Measures Design – Acid Beam Measurements of Marihuana

Description:Results of alkaine and Acid Beam Tests on Marijuana plants of 4 varieties (1=Manchurian "A",2=Manchurian "B",3=African "C", 4=Kentucky "D") in 4 states (1=Virginia,2=Wisconsin,3=Nebraska,4=Mississippi) at 3 time points. Plants were grown at 4 blocks within each state. Response = Total numerical response of 5 separate plant tests for each plot (block) of a variety for a location (state) for a given time period. Fit (univariate) repeated measures ANOVA. Since data are counts, try square root transformation. (Poisson counts).

Crossover Design – Apple Sales

Description: Apple sales by Treatment (color quality), period, and store in a 3-period crossover design

Trt 1=75-100% good red color (highly colored) Trt 2=50-75% (partly colored) Trt 3=50-100% (combination)

Test for Carryover effects (controlling for treatment) and treatment effects, controlling carryover)