In this unit we look at two datasets that illustrate randomized block designs. In the first, three real estate appraisers independently examined each of five properties chosen at random from a particular neighborhood and gave appraised values. The manager of the appraisal service that employs them suspects that systematic differences among their methods of appraisal are causing undesirable inco...

The discrete multi-way layout is a widespread data-type associated with experimental designs, gene or protein chips, digital images or videos, and more. A discrete multi-way layout has a finite number of factor level combinations. The layout may be unbalanced or incomplete or both. We consider candidate fits to an incomplete layout that are least squares fits to certain submodels induced by ten...

The use of the fuzzy scale ofmeasurement to describe an important number of observations from real-life attributes or variables is first explored. In contrast to other well-known scales (like nominal or ordinal), a wide class of statistical measures and techniques can be properly applied to analyze fuzzy data. This fact is connected with the possibility of identifying the scale with a special s...

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Recently, Sakai proposed two methods for determining the topic set size n for a new test collection based on variance estimates from past data: the first method determines the minimum n to ensure high statistical power [22], while the second method determines the minimum n to ensure tight confidence invervals [23]. These methods are based on statistical techniques described by Nagata [15]. Whil...

An Excel sheet with both the data and the results can be downloaded by clicking here. The data correspond to an experiment where 4 new toothpaste formulas were each tested on 6 different patients in order to measure their effect on the whiteness of teeth. All patients had previously used the same toothpaste. Using the ANOVA function of XLSTAT we want to find out if the results differ according ...

143 This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/ by-nc/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. Statistical notes for clinical researchers: Two-way analysis of variance (ANOVA)-explor...

But these experiments [2] will not give us any information about the dependence or independence of the two factors, namely study habit and home environment. In such cases, we resort to Factorial ANOVA which not only helps us to study the effect of two or more factors but also gives information about their dependence or independence in the same experiment. There are many types of factorial desig...