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

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 hsv16.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, per forming residual analysis, etc.) (e) Draw conclusions (and possible recommendations). Which drugs are effective for treating the HSV-1?

Explanation / Answer

this is randomised block design experiment.

randomised block design experiment:-

in a randomised block design experiment the experienter divides the subjects into two groups called subgroups such tha t the variability of the observations is less in he subgroup than between the subgroup.

explanation: in this particular case two groups are formed for experiment by differents scientists from the same cell culture. virus and drugs were added simultaneouly during the experient. thus two replicates were formed of the same cell culture.

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