Chapter 4: Single-Factor Experiments: Ran- domized Block and Latin Square Designs
ثبت نشده
چکیده
Suppose that a bakery is interested in studying the effects of three different sugar substitutes on the optimal baking time of birthday cakes. To perform the study, the baker wishes to bake several cakes using each of the three substitutes, as well as real sugar, and determine the time to browning for each cake. Unfortunately, the baker knows the the exact oven temperature can effect the length of time that a cake must cook, and she knows that her oven does not always heat to the exact same temperature. She can bake at most four cakes in the oven at one time.
منابع مشابه
CHAPTER 10 - Experimental Design
10.1 GENERAL PRINCIPLES OF EXPERIMENTAL DESIGN .............................. 424 10.1.1 Randomization ................................................................................... 430 10.1.2 Replication and Pseudoreplication ................................................. 431 10.1.3 Design Control .................................................................................. 437 10...
متن کاملStatistical Approaches in Analysis of Variance: from Random Arrangements to Latin Square Experimental Design
Background: The choices of experimental design as well as of statistical analysis are of huge importance in field experiments. These are necessary to be correctly in order to obtain the best possible precision of the results. The random arrangements, randomized blocks and Latin square designs were reviewed and analyzed from the statistical perspective of error analysis. Material and Method: Ran...
متن کاملNested Designs
1. Nested Block Designs Heterogeneity in the experimental material is the most important problem to be reckoned within the statistical design of scientific experiments. If it is not suitably taken care of, in designing of an experiment, is likely to over shadow the real treatment differences making them remain undetected, unless they are large enough. Occasionally, one can find a certain factor...
متن کاملLatin squares and related experimental designs
A Latin square is an arrangement of v copies of v symbols into a v× v square so that (i) each symbol occurs once in each row, and (ii) each symbol occurs once in each column. Three distinct Latin squares of order v = 4 are shown in Example 1. Other than for small v, the number of distinct (non-identical as matrices) Latin squares is not generally known, though it is known that it grows rapidly ...
متن کاملOptimal and efficient semi-Latin squares
Let n and k be integers, with n > 1 and k > 0. An (n × n)/k semi-Latin square S is an n × n array, whose entries (called blocks) are k-element subsets of a set of size nk, the set of symbols of S, such that each symbol of S occurs exactly once in each row and exactly once in each column of S. Semi-Latin squares form a class of designs generalising Latin squares, and have applications in areas i...
متن کامل