By Gary W. Oehlert
• while to take advantage of a number of designs
• the best way to learn the results
• tips to realize numerous layout options
Also, in contrast to different older texts, the e-book is absolutely orientated towards using statistical software program in studying experiments.
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Additional resources for A First Course in Design and Analysis of Experiments
For this experiment, the choice of units was rather clear: integrated circuits with the resin bond of interest. Choice of treatments, however, depended on knowing that temperature stress reduced resin bond lifetime. The actual choice of temperatures probably benefited from knowledge of the results of previous similar experiments. Once again, experimental design is a combination of subject matter knowledge and statistical methods. 2 Preliminary Exploratory Analysis It is generally advisable to conduct a preliminary exploratory or graphical analysis of the data prior to any formal modeling, testing, or estimation.
4 is taken from Figure 2 of Hunt and gives the log phosphorus content of 8 whole plants, 4 each at 15 and 28 days after first harvest. These are 8 plants randomly divided into two groups of 4, with each group getting a different treatment. One natural question is whether the average phosphorus content is the same at the two sampling times. Formally, we test the null hypothesis that the two sampling times have the same average. A two-sample t-test is the standard method for addressing this question.
One of their experiments used 240 six-week-old yellow birch seedlings. These seedlings were divided into five groups of 48 at random, and the seedlings within each group received an acid mist treatment 6 hours a week for 17 weeks. 3; otherwise, the seedlings were treated identically. After the 17 weeks, the seedlings were weighed, and total plant (dry) weight was taken as response. Thus we have a completely randomized design, with five treatment groups and each ni fixed at 48. The seedlings were the experimental units, and plant dry weight was the response.
A First Course in Design and Analysis of Experiments by Gary W. Oehlert