A 2^5 - 1 design was used to study a biological system with Herpes simplex virus

Question

A 2^5 - 1 design was used to study a biological system with Herpes simplex virus type 1 (HSV-1) and five antiviral drugs: Interferon-alpha (A), Interferon-beta (B), Interferon-gamma (C), Ribavirin (D), and Acyclovir (E). For each drug, the high level (+1) was determined by the minimum effective dosage at which the drug's antiviral effect reached plateau and the low level (-1) corresponded to no drug used. Cell culture was prepared before the experiment. Virus and drugs were added simultaneously during the experiment manually. Two researchers conducted the experiment independently using the same cell culture, yielding two replicates. The run orders were randomized and two researchers used two different random orders. The observed data, readout, were the percentage of infected cells after the combination drug treatment. The design and data are shown below [see hsvl6.dat], where replicate1 was data from researcher 1 and replicate2 was from researcher 2. (a) Is this a completely randomized experiment or a randomized block design experiment? (b) What is the defining relation for the 2^5 - 1 design? What is the resolution of this design? (c) Write out the alias structure for the 2^5 - 1 design. (d) Analyze the data (including making appropriate plots, transforming the response, performing residual analysis, etc.) (e) Draw conclusions (and possible recommendations). Which drugs are effective for treating HIP HSV-1?

Explanation / Answer

The given experiment is comes under the randomized block design experiment. With this randomized block design, the experimenter divides participants into subgroups called blocks, such that the variability within blocks is always less than the variability between blocks. Here, each block is randomly assigned to particular treatment conditions. Because this design reduces the variability and potential confounding and it can produces a better estimation for treatment effects.

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