Showing papers on "Factorial experiment published in 1975"
TL;DR: In this paper, a factorial experiment measures the impact of in-store displays on sales for different product characteristics, including growth or competitive structure, and the number of customers who purchased a product.
Abstract: A factorial experiment measures the impact of in-store displays on sales for different product characteristics. Variables related to growth or competitive structure are found significant, while mar...
158 citations
60 citations
TL;DR: The data suggest that the factorial design can have utility in predicting the properties of granulations prepared at conditions within the limits imposed by the equipment or formulation.
58 citations
52 citations
TL;DR: The importance of the systematic improvement of response was recognized by Cellier and Stace as discussed by the authors, who used sequential factorial designs to increase analytical sensitivity and also employed factorial design to achieve improved response.
Abstract: Atomic absorption (AA) methods of analysis are subject to the influence of many experimental factors such as fuel and oxidant flow rates, burner height, and lamp current. The optimization of these factors and the corresponding improvement of response are integral parts of the development of AA methods. The importance of the systematic improvement of response was recognized by Cellier and Stace, who used sequential factorial designs to increase analytical sensitivity. Parsons and Winefordner considered the theoretical significance of various experimental factors and also employed factorial designs to achieve improved response. Other researchers have used similar statistical approaches in the development of AA methods.
30 citations
21 citations
TL;DR: In this paper, it was shown that the characteristic roots of the information matrix of a balanced fractional 2m factorial designT of resolution 2l+1 are the same as those of its complementary designT, and necessary conditions for the existence of such a designT are also given.
Abstract: It is shown that the characteristic roots of the information matrix of a balanced fractional 2m factorial designT of resolution 2l+1 are the same as those of its complementary design\(\bar T\). Necessary conditions for the existence of such a designT are also given.
17 citations
TL;DR: In this paper, the SUMT algorithm was proposed to optimize the performance of the cellulose acetate (CA) membrane by maximizing the permeate flux subject to an equality constraint of salt rejection and a pair of inequality constraints for each variable.
Abstract: This work presents a method, the SUMT algorithm, to optimize the performance of the cellulose acetate (CA) membrane by maximizing the permeate flux subject to an equality constraint of salt rejection and a pair of inequality constraints for each variable. Three variables, i.e., (1) the concentration of formamide in the casting solution, (2) the time of evaporation of the membrane prior to gelling, and (3) the annealing temperature of the membrane, were selected for this optimization study. Experiments based on the two-level factorial design were conducted for the determination of regression equations for both premeate flux and salt rejection. At a level of 97.00% rejection of a 0.5% sodium chloride solution at 600 psig, the maximum permeate flux of the CA membrane was predicted to be 14.52 gallons per day per sq. ft (gfd). This was later confirmed by experiments. The effects of the casting variables on membrane performance concluded in this study were consistent with those reported by other researchers.
12 citations
3 citations
TL;DR: An example is outlined of the application of factorial experiment-design to the development of a titrimetric method, and the usefulness of such designs to analytical chemistry is discussed.
1 citations
TL;DR: A set of functions, written in APLSV, for performing analysis-of-variance calculations, including the determination of the means over an arbitrary set of factors, for a balanced factorial design of up to six factors.
Abstract: This paper describes a set of functions, written in APLSV, for performing analysis-of-variance calculations, including the determination of the means over an arbitrary set of factors, for a balanced factorial design of up to six factors, one of which may be replications, and with any crossing or nesting of factors specified by an algebraic representation of the linear model.