Bivariate Residual Plots With Simulation Polygons

In many problems of data analysis it is necessary to fit the data to a mathematical equation. Random errors of measurement will be responsible for deviations between the data and the equation, but superimposed on this there may be deviations that result from the equation being an inadequate description of the system from which the data were obtained. Plots of the residual (i.e. the difference between the experimental and calculated values of the dependent variable) against each of the experimental variables have been previously used to detect a misfit between the data and the equation. In the present paper, we show that the shape of the residual plots may be used as a guide in choosing a more appropriate equation. In addition, residual plots give useful information on the error structure of the data, and hence the weighting factors that should be used in the analysis.

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The International System, Labor-Force Structure, and the Growth and Distribution of National Income, 1950–1980

Sociological Perspectives ◽

10.2307/1389379 ◽

1992 ◽

Vol 35 (2) ◽

pp. 249-282 ◽

Cited By ~ 5

Author(s):

Robert Fiala

Keyword(s):

Labor Force ◽

World Economy ◽

International System ◽

National Income ◽

National Development ◽

Developed Countries ◽

Force Structure ◽

The World ◽

Residual Plots ◽

Cross National

The primary goal of the present study is to use cross-national data on labor-force structure to examine the manner in which the international system shapes the character of national development, and the consequences of variation in development strategy for the growth and distribution of national income. A complementary goal is to illustrate the use of residual plots to overcome the “black box” character of cross-national studies, and thereby provide a bridge to case-study research. Multivariate analyses and residual plots provide results congruent with both world-political-economy and developmental perspectives, and indicate that the world economy may be used by lesser developed countries to obtain more rapid and equitable economic growth, although this was not a natural outcome of the world economy in the 1960s and 1970s.

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Exploring interaction using 3-D residual plots in logistic regression model

Journal of the Korean Data and Information Science Society ◽

10.7465/jkdi.2014.25.1.177 ◽

2014 ◽

Vol 25 (1) ◽

pp. 177-185

Author(s):

Myung-Wook Kahng

Keyword(s):

Logistic Regression ◽

Regression Model ◽

Logistic Regression Model ◽

Residual Plots

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Experimental and Kinetic Production of Ethanol Using Mucilage Juice Residues from Cocoa Processing

International Journal of Chemical Reactor Engineering ◽

10.1515/ijcre-2017-0262 ◽

2018 ◽

Vol 16 (11) ◽

Cited By ~ 2

Author(s):

Teresa Romero Cortes ◽

Jaime A. Cuervo-Parra ◽

Víctor José Robles-Olvera ◽

Eduardo Rangel Cortes ◽

Pablo A. López Pérez

Keyword(s):

Ethanol Yield ◽

Scale Up ◽

Pilot Scale ◽

Product Formation ◽

Model Parameters ◽

Pichia Kudriavzevii ◽

Proposed Model ◽

Analysis Of Results ◽

Residual Plots ◽

Kinetics Of

AbstractEthanol was produced using mucilage juice residues from processed cocoa with Pichia kudriavzevii in batch fermentation. Experimental results showed that maximum ethanol concentration was 13.8 g/L, ethanol yield was 0.50 g-ethanol/g glucose with a productivity of 0.25 g/L h. Likewise, a novel phenomenological model based on the mechanism of multiple parallel coupled reactions was used to describe the kinetics of substrate, enzyme, biomass and product formation. Model parameters were optimized by applying the Levenberg-Marquardt approach. Analysis of results was based on statistical metrics (such as confidence interval), sensitivity and by comparing calculated curves with the experimental data (residual plots). The efficacy of the proposed mathematical model was statistically evaluated using the dimensionless coefficient for efficiency. Results indicated that the proposed model can be applied as a way of augmenting bioethanol production from laboratory scale up to semi-pilot scale.

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Diagnostic Value of Residual and Partial Residual Plots

The American Statistician ◽

10.2307/2684221 ◽

1987 ◽

Vol 41 (2) ◽

pp. 107 ◽

Cited By ~ 1

Author(s):

Edward R. Mansfield ◽

Michael D. Conerly

Keyword(s):

Diagnostic Value ◽

Residual Plots

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Checking the Efficacy of Two Basic Descriptors With a Set of Properties of Alkanes

International Journal of Quantitative Structure-Property Relationships ◽

10.4018/ijqspr.2019010105 ◽

2019 ◽

Vol 4 (1) ◽

pp. 67-87

Author(s):

Emili Besalú ◽

Riccardo Zanni ◽

Lionello Pogliani ◽

Jesus Vicente de Julian-Ortiz

Keyword(s):

In Silico ◽

Cross Validation ◽

Model Building ◽

Quantitative Structure ◽

Structure Property ◽

Structure Property Relationships ◽

Building Activity ◽

Quantitative Structure Property Relationships ◽

The Cross ◽

Residual Plots

Several experimental properties of alkanes are described by means of multilinear models at the cross-validation level. The models have been obtained considering two main sets of descriptors: mathematically-based and experimental ones. The best models are obtained normally involving one of the two sets. The main goal of this work is to show how the theoretical descriptors are able to perform a competitive role against the experimental ones. This constitutes an important topic in the quantitative structure-property relationships field because the use of mathematical and in silico descriptors is validated as a proper tool for model building. Activity distributions of the properties and indices employed are discussed, along with the shape of the obtained residual plots.

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Desorption Isotherm of Mango Soy Fortified Yoghurt

International Journal of Food Engineering ◽

10.2202/1556-3758.1030 ◽

2005 ◽

Vol 1 (5) ◽

Author(s):

Pradyuman Kumar ◽

H. N. Mishra

Keyword(s):

Water Activity ◽

Goodness Of Fit ◽

Static Method ◽

Desorption Isotherm ◽

Percentage Error ◽

Typical Type ◽

Sigmoid Curve ◽

Relative Percentage Error ◽

Desorption Isotherms ◽

Residual Plots

Desorption isotherms of three yoghurt samples viz. plain yoghurt, mango soy fortified yoghurt (MSFY) and MSFY containing 0.4 % gelatin stabilizer (MSFYG) were determined by gravimetric static method at 20, 30, 40 and 50 °C in the range of 0.11 – 0.81 water activity. It was found that desorption isotherm of yoghurt samples follow a typical type III sigmoid curve. Experimental data were fitted to five mathematical models i. e. modified Henderson, modified Chung Pfost, Oswin, Smith and Guggenheim-Anderson-deBoer (GAB). Equations were developed for the prediction of the GAB constants as a function of temperature and these equations were used during modeling. Standard error of estimate (SE), mean relative percentage error (P), percent root mean square (% RMS) and trend of residual plots were used to compare the goodness of fit. It was found that the GAB models were acceptable in describing equilibrium moisture content – water activity relationships for yoghurt samples over the entire experimental temperature range.

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