Draper, Norman Richard
Overview
Works:  167 works in 472 publications in 4 languages and 7,257 library holdings 

Roles:  Author, Creator, Editor 
Classifications:  QA278.2, 519.536 
Publication Timeline
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Most widely held works by
Norman Richard Draper
Applied regression analysis by
Norman Richard Draper(
Book
)
100 editions published between 1956 and 2014 in English and Undetermined and held by 3,364 WorldCat member libraries worldwide
Fitting a straight line by least squares. The matrix approach to linear regression. The examination of residuals. Two predictor variables. More complicated models. Selecting the best regression equation. Two specific problems. Multiple regression and mathematical model building. Multiple regression applied to analysis of variance problems. Contents. An introduction to nonlinear estimation
100 editions published between 1956 and 2014 in English and Undetermined and held by 3,364 WorldCat member libraries worldwide
Fitting a straight line by least squares. The matrix approach to linear regression. The examination of residuals. Two predictor variables. More complicated models. Selecting the best regression equation. Two specific problems. Multiple regression and mathematical model building. Multiple regression applied to analysis of variance problems. Contents. An introduction to nonlinear estimation
Empirical modelbuilding and response surfaces by
George E. P Box(
Book
)
16 editions published between 1986 and 1987 in English and Spanish and held by 869 WorldCat member libraries worldwide
16 editions published between 1986 and 1987 in English and Spanish and held by 869 WorldCat member libraries worldwide
Evolutionary operation; a statistical method for process improvement by
George E. P Box(
Book
)
27 editions published between 1969 and 2009 in English and Undetermined and held by 678 WorldCat member libraries worldwide
The basic ideas; Simple statistical principles on which evop is based; The 2 and 2 factorial designs; Worksheets for twovariable evop programs; Some aspects of the organization of evolutionary operation; Evop, optimization, and variations of evop; Comments and questions on evop; Appendices; Tables; Index
27 editions published between 1969 and 2009 in English and Undetermined and held by 678 WorldCat member libraries worldwide
The basic ideas; Simple statistical principles on which evop is based; The 2 and 2 factorial designs; Worksheets for twovariable evop programs; Some aspects of the organization of evolutionary operation; Evop, optimization, and variations of evop; Comments and questions on evop; Appendices; Tables; Index
Probability; an introductory course by
Norman Richard Draper(
Book
)
7 editions published between 1970 and 1988 in English and held by 239 WorldCat member libraries worldwide
7 editions published between 1970 and 1988 in English and held by 239 WorldCat member libraries worldwide
Response surfaces, mixtures, and ridge analyses by
George E. P Box(
Book
)
15 editions published in 2007 in English and held by 202 WorldCat member libraries worldwide
'Response Surfaces, Mixtures, and Ridge Analyses' introduces the general philosophy of a number of unique topics, including response surface methodology and details least squares for response surface work. Some newer results are presented for the first time, inclusive of reallife exercises and their solutions
15 editions published in 2007 in English and held by 202 WorldCat member libraries worldwide
'Response Surfaces, Mixtures, and Ridge Analyses' introduces the general philosophy of a number of unique topics, including response surface methodology and details least squares for response surface work. Some newer results are presented for the first time, inclusive of reallife exercises and their solutions
Das EVOPVerfahren : der industrielle Prozess, seine Kontrolle und mirlaufende Optimierung by
George E. P Box(
Book
)
3 editions published in 1975 in German and held by 39 WorldCat member libraries worldwide
3 editions published in 1975 in German and held by 39 WorldCat member libraries worldwide
Kiefer ordering of simplex designs for second degree mixture models with four or more ingredients by
Norman Richard Draper(
Book
)
3 editions published in 1998 in English and held by 15 WorldCat member libraries worldwide
3 editions published in 1998 in English and held by 15 WorldCat member libraries worldwide
Prikladnoj regressionnyj analiz by
Norman Richard Draper(
Book
)
6 editions published between 1973 and 1986 in Russian and Undetermined and held by 14 WorldCat member libraries worldwide
6 editions published between 1973 and 1986 in Russian and Undetermined and held by 14 WorldCat member libraries worldwide
Gustav Elfving an appreciation by
Norman Richard Draper(
Book
)
4 editions published in 1999 in English and held by 9 WorldCat member libraries worldwide
4 editions published in 1999 in English and held by 9 WorldCat member libraries worldwide
On optimal third order rotatable designs by
Norman Richard Draper(
Book
)
3 editions published in 1994 in English and German and held by 8 WorldCat member libraries worldwide
3 editions published in 1994 in English and German and held by 8 WorldCat member libraries worldwide
An overview of design of experiments by
Norman Richard Draper(
Book
)
3 editions published in 1994 in English and German and held by 8 WorldCat member libraries worldwide
3 editions published in 1994 in English and German and held by 8 WorldCat member libraries worldwide
Kiefer ordering of simplex designs for first and second degree mixture models by
Norman Richard Draper(
Book
)
3 editions published in 1998 in English and held by 8 WorldCat member libraries worldwide
3 editions published in 1998 in English and held by 8 WorldCat member libraries worldwide
On third order rotatability by
Norman Richard Draper(
Book
)
2 editions published in 1993 in German and English and held by 8 WorldCat member libraries worldwide
2 editions published in 1993 in German and English and held by 8 WorldCat member libraries worldwide
Mixture models based on homogeneous polynomials by
Norman Richard Draper(
Book
)
3 editions published in 1997 in English and held by 8 WorldCat member libraries worldwide
3 editions published in 1997 in English and held by 8 WorldCat member libraries worldwide
The effects of nonlinearity in regression models by
Norman Richard Draper(
Book
)
6 editions published in 1974 in English and held by 7 WorldCat member libraries worldwide
In a previous paper (Draper and Shaw, 1973), the authors provided a way of assessing nonlinearity in nonlinear estimation problems with n observations and p parameters via a function F bar(p, np, 1alpha). This function measured the average deviation from linearity around the usual linearized (1alpha) F bar(p, np, aalpha) as a function of F(p, np,1alpha), and demonstrate that the coefficients convey, in an intuitively sensible manner, information about the nonlinearity of the model. (Modified author abstract)
6 editions published in 1974 in English and held by 7 WorldCat member libraries worldwide
In a previous paper (Draper and Shaw, 1973), the authors provided a way of assessing nonlinearity in nonlinear estimation problems with n observations and p parameters via a function F bar(p, np, 1alpha). This function measured the average deviation from linearity around the usual linearized (1alpha) F bar(p, np, aalpha) as a function of F(p, np,1alpha), and demonstrate that the coefficients convey, in an intuitively sensible manner, information about the nonlinearity of the model. (Modified author abstract)
The value of prior information by
Norman Richard Draper(
Book
)
6 editions published between 1967 and 1968 in English and held by 7 WorldCat member libraries worldwide
Sample y1,y2 ..., yn of observations from some specified parent distribution, together with some prior information on one or more parameters of interest of the distribution. Then by applying Bayes theorem we can obtain the overall distribution (or the marginal distribution) if nuisance parameters are involved of parameters of interest, and can make inferences about these parameters. A natural question to ask is how inferences might be affected by a change in the prior distribution, i.e. by the availability of more, or less, information on the parameters. It would be convenient to have a quantity which could be used to indicate the value of more or less prior information. It is suggested, in this paper, for the one parameter case, the use of the ratio the expected values of the posterior variance of the parameter, expectation being taken over the future distribution of the sampling statistics which occur in the posterior variance. We illustrate the use of this ratio for a number of wellknown distributions. (Author)
6 editions published between 1967 and 1968 in English and held by 7 WorldCat member libraries worldwide
Sample y1,y2 ..., yn of observations from some specified parent distribution, together with some prior information on one or more parameters of interest of the distribution. Then by applying Bayes theorem we can obtain the overall distribution (or the marginal distribution) if nuisance parameters are involved of parameters of interest, and can make inferences about these parameters. A natural question to ask is how inferences might be affected by a change in the prior distribution, i.e. by the availability of more, or less, information on the parameters. It would be convenient to have a quantity which could be used to indicate the value of more or less prior information. It is suggested, in this paper, for the one parameter case, the use of the ratio the expected values of the posterior variance of the parameter, expectation being taken over the future distribution of the sampling statistics which occur in the posterior variance. We illustrate the use of this ratio for a number of wellknown distributions. (Author)
SROAD designs by
Norman Richard Draper(
Book
)
4 editions published in 1994 in English and German and held by 7 WorldCat member libraries worldwide
4 editions published in 1994 in English and German and held by 7 WorldCat member libraries worldwide
Rotatability of variance surfaces and moment matrices by
Norman Richard Draper(
Book
)
3 editions published in 1991 in English and German and held by 7 WorldCat member libraries worldwide
3 editions published in 1991 in English and German and held by 7 WorldCat member libraries worldwide
Measures of lack of fit, and transformation of predictors, in composite designs by
George E. P Box(
Book
)
5 editions published in 1980 in English and held by 7 WorldCat member libraries worldwide
The central composite designs are investigated in terms of their ability to detect lack of fit and it is shown that measures of nonquadraticity can be obtained in all the k major directions. The geometrical interpretation of this is explained. The relationship of these lack of fit measures to the estimation of power transformations in the predictor variables is also explored. (Author)
5 editions published in 1980 in English and held by 7 WorldCat member libraries worldwide
The central composite designs are investigated in terms of their ability to detect lack of fit and it is shown that measures of nonquadraticity can be obtained in all the k major directions. The geometrical interpretation of this is explained. The relationship of these lack of fit measures to the estimation of power transformations in the predictor variables is also explored. (Author)
Two simultaneous measurement procedures : a Bayesian approach by
Norman Richard Draper(
Book
)
7 editions published in 1974 in English and Undetermined and held by 6 WorldCat member libraries worldwide
Thompson (J.A.S.A., 58, 1963) discussed a specific type of problem in which two (or more) instruments are used simultaneously to measure a response. Each item to be measured can be used only once, so that replicate observations are impossible on any instrument, and thus the variance of the instrument readings cannot be estimated directly. Also, if instrument biases exist, they are assumed to be constant throughout the range of observation. Here the authors provide a Bayesian analysis of the twoobserver problem and illustrate it with data given by Simon (1946) on thirty fuses used in projectile firings. (Author)
7 editions published in 1974 in English and Undetermined and held by 6 WorldCat member libraries worldwide
Thompson (J.A.S.A., 58, 1963) discussed a specific type of problem in which two (or more) instruments are used simultaneously to measure a response. Each item to be measured can be used only once, so that replicate observations are impossible on any instrument, and thus the variance of the instrument readings cannot be estimated directly. Also, if instrument biases exist, they are assumed to be constant throughout the range of observation. Here the authors provide a Bayesian analysis of the twoobserver problem and illustrate it with data given by Simon (1946) on thirty fuses used in projectile firings. (Author)
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Analysis of variance Bayesian statistical decision theory Chemical process control Chemical process controlStatistical methods Distribution (Probability theory) Estimation theory Experimental design Factorial experiment designs Mathematical analysis Mathematical statistics Measurement Mixture distributions (Probability theory) Operations research Probabilities Regression analysis Response surfaces (Statistics) Ridge regression (Statistics) Transformations (Mathematics)
Alternative Names
Draper, N. R.
Draper, N. R. 1931
Draper, N. R. (Norman Richard)
Draper, N. R. (Norman Richard), 1931
Draper, Norman R.
Draper, Norman R. 1931
Draper, Norman R. (Norman Richard)
Drejper, N.
Drejper, N. 1931
Drejper, Norman 1931
Дрейпер, Норман Р.
ドレーパー, N.
ドレーパー, N. R.
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