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Statistics 502 Lecture Notes

Statistics 502 Lecture Notes Peter D. Hoff c December 9, 2009. Contents 1 principles of experimental design 1. Induction .. 1. Model of a process or system .. 2. Experiments and observational studies .. 2. Steps in designing an experiment .. 6. 2 Test Statistics and randomization distributions 9. Summaries of sample populations .. 10. Hypothesis testing via randomization .. 13. Essential nature of a hypothesis test .. 17. Sensitivity to the alternative hypothesis .. 18. Basic decision theory .. 23. 3 Tests based on population models 25. Relating samples to populations .. 25. The normal distribution .. 29. Introduction to the t-test.

Chapter 1 Principles of experimental design 1.1 Induction Much of our scienti c knowledge about processes and systems is based on induction: reasoning from the speci c to the general.

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