STAT 8010 Lecture Notes - Lecture 13: Standard Deviation, Algebraic Group, Observational Error
Document Summary
Chapter 15 section 3 (and some concepts of ch. An experiment is called a randomized block design when comparing t treatments in b blocks. The blocks consist of t homogeneous experimental units. Treatments are randomly assigned to experimental units within a block, with each treatment appearing exactly once in every block. The design is useful for comparing t treatment means in the presence of a single extraneous source of variability. Because the experimental units within a block must be homogeneous, the design is best suited for a relatively small number of treatments. This design controls for only one extraneous source of variability (due to blocks). Additional extraneous sources of variability tend to increase the error term, making it more difficulty to detect treatment differences. The effect of each treatment on the response must be approximately the same from block to block. 2 y12 y22 yt2 b y1b y2b ytb.
