Introduction to the Design and Analysis of Experiments [Paperback]

The design and analysis of experiments is typically taught as part of a second level course in statistics. Many different types and levels of students will require this information in order to progress with their studies and research. This text is thus offered as an introduction to this wide ranging and important subject. It has the advantage of explaining in an accessible way the basic principles behind good experimental thinking, planning and action. The authors have used their experience in teaching related courses to separate out what seem to be the essential basic contents for everyone, and to combine with these some of the most useful additional topics in biological, industrial, medical, and environmental experimentation.Preface.

1 Collecting data by experiments.

1.1 Introduction.

1.2 Experiments.

1.3 Measurements of yield or response.

1.4 Natural variation in data.

1.5 Initial data analysis.

1.6 General applications of experimentation.

1.7 Exercises.

2 Basic statistical methods: the normal distribution.

2.1 Statistical inference for one sample of normally distributed data.

2.2 Hypothesis test.

2.3 Comparison of two samples of normally distributed data.

2.4 The F-test for comparing two estimated variances.

2.5 Confidence interval for the difference between two means.

2.6 'Paired data' t-test when samples are not independent.

2.7 Linear functions of normally distributed variables.

2.8 Linear models including normal random variation.

2.9 Exercises.

3 Principles of experimental dl-