How would you describe the design of experiment

Reference no: EM133139305

Question 1: Oehlert's book, p.62, problem 3.2, presents a data set from an experiment where the response variable is fruit fly longevity. This is a CRD with five treatments and 25 replications (per treatment).

(a) State an appropriate model for this experiment Note "model" means model equation plus associated assumptions.

(b) Conduct an ANOVA F-test of the null hypothesis that the mean longevity of the (hypothetical) populations for the five treatment groups are equal, Include your ANOVA table and extract key evidence to report in your conclusions.

(c) If appropriate conduct Tukey's HSD procedure to determine where the differences are. Summarize the results with an underscore diagram and interpret the results.

(d) Obtain a graph of side-by-side boxplots summarizing the longevity data for the five treatment groups. Keep the order of the boxplots in the same order as listed in Ochlert's table. Briefly summaries the information illustrated by this graph; include an assessment of possible violations of model assumptions.

(e) Which observation is associated with the largest residual (in absolute value)?

(f) Among the five treatments there are four treatments that could be described as having a 2 x 2 factorial treatment structure, Explain this by defining the factors and the levels of each factor.

Question 2: The following data set comes from Sokal & Rohlf (1995). "The oven-dry weights (in grams) of new growth in hybrid poplars grown in coacrete soil frames and treated with lime (L), nitrogen (N), phosphorus (P), and potassium (K) are given below. The frames were laid out in three blocks." Note that O represents a control (no supplement).

(a) How would you describe the design of this experiment? Write out an appropriate model equation for this experiment, if we assume blocks do not interact with treatment factors but all treatment factor interactions are possible.

(b) How would you set up the data frame for analysis in R?

(d) How many df would be associated with the error if all interactions involving three or Tare interactions were pooled with the error?

(e) For your model, what are the values of Y2 and Y23.?

(f) How would the randomization have been conducted in this experiment?

Reference no: EM133139305

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