What is the purpose of a randomized block design/what are the advantages of doing a randomized block design over a completely randomized design? A. This design can allow you to examine group differences when it may be impossible or unethical to control for all sources of variance outside of the characteristic of interest. B. This design allows you to compare the effects of an experiment when you have variation in the sample originating from outside of the experimental manipulation that may influence the response. C. This design allows you to gain a more sensitive comparison of treatments because the variation that is due to differences between the block is minimized by comparing the treatment effect within each block. How is the block design more sensitive than using a one-way ANOVA? A. In a one-way ANOVA the Error SS (Sums of Squares) includes the SS due to the Block characteristics well as the Error SS from the Block design. B. In a Block design the Error SS includes the SS due to the one-way ANOVA characteristics as well as the Error SS from the one-way ANOVA. C. A block design can eliminate/control for more variation than a one-way ANOVA. D. A one-way ANOVA can eliminate more extraneous variation than a block design.

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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.