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Industrial Experimentation
Industrial Experimentation
 
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ISBN-13/EAN: 9780820600239
Author: K.A. Brownlee
Chemical Publishing
Book - Paperback
Pub Date: Feb 6, 1949
200 Pages
Features

FOREWORD - 
CONTENTS - 
PREFACE - 

CHAPTER I - 
INTRODUCTION - 

(a) Experimental Error - 
(b) Classical and Industrial Experimentation - 
(c) Replication - 
(d) Experimental Design: Randomised Blocks - 
(e) The Latin Square - 
(f) Balanced Incomplete Blocks - 
(g) Youden Squares - 
(h) Lattice Squares - 
(i) The Nature of "Blocks" - 
(g) Multiple Factor Experiments - 
(k) The Three Factor Experiment - 
(I) Higher Factorial Experiments - 
(m) Randomisation - 

CHAPTER II - 
FUNDAMENTAL STATISTICAL CONCEPTIONS -

(a) Statistical Terminology - 
(b) Probability - 
(c) Populations: Tests of Significance - 
(d) Significance Levels
(e) Computation - 
(f) Measures of Variability - 
(g) The Calculation of Variance
(h) The Definition of Variance - 
(i) Distributions - 
(j) Grouped Frequency Distributions - 
(k) Log-normal Distributions - 

CHAPTER III - 
SIGNIFICANCE OF MEANS - 

(a) Significance of a Single Mean - 
(b) Confidence Limits for a Single Mean -
(c) Comparison of Two Means - 
(d) Conclusions - 

CHAPTER IV - 
THE COMPARISON OF VARIANCES - 

(a) Comparison of Two Variances - 
(b) Averaging of Several Variances - 
(c) Comparison of Several Variances - 
(d) Confidence Limits for Variances - 
(i) Small Samples - 
(ii) Large Samples - 

THE X 2 TEST - 

(a) Introduction - 
(b) The 1 X 2 Table - 
(c) The Xl Table - 
(d) The 1 X n Table - 
(e) The 2 X 2 Table - 
(f) The 2 X n Table - 

CHAPTER V - 

(g) The n1 X na Table  - 
(h) Restriction of Expected Cell Frequency to not less than 5 - 

CHAPTER VI - 
THE POISSON DISTRIBUTION - 

(a) Introduction - 
(b) Number of Incidents per Interval - 
(c) Distribution of Time Intervals - 

CHAPTER VII - 
THE ANALYSIS OF VARIANCE - 

(a) Introduction  - 
(b) Analysis of Variance Between and Within Batches  -
(c) The Investigation of Multi-Stage Processes  -
(d) Analysis of Variance of Columns of Unequal Size - 
(e) Analysis of Variance into Components due to Rows, Columns and Residual - 

CHAPTER VIII - 
THE QUALITY CONTROL CHART - 

(a) Introduction - 
(b) Within Batch Variability: the Control Chart for Range - 
(c) The Control Chart for Ranges compared with Bartlett's Test  - 
(d) Between Batch Variability: The Control Chart for Means - 
(e) The Conversion of Range to Standard Deviation - 

CHAPTER IX - 
THE RELATION BETWEEN TWO VARIABLES - 

(a) Introduction - 
(b) Transformations - 
(c) The Correlation Coefficient - 
(d) The Equation for the Regression Line - 
(e) The Residual Variance about the Regression Line - 
(f) The Use of the Analysis of Variance for Examining Regression - 
(g) Comparison of Regression Coefficients - 
(h) Exact Formula for the Residual Variance about the Regression Line - 
(i) The Use of the Analysis of Variance for Checking Linearity - 
(j) The Calculation of Correlation Coefficient, etc., from grouped Data - 
(k) Correlation and Causation - 
(I) Conclusions - 

MULTIPLE CORRELATION - 

(a) Introduction - 
(b). Two Independent Variables - 
(c) The Need for Multiple Regression and Partial Correlation - 
(d) Multiple Correlation with Three Independent Variables - 
(e) Conclusions - 

CHAPTER XI - 
THE GENERAL ANALYSIS OF VARIANCE - 

(a) Introduction - 
(b) Types of Analyses - 
(c) The Two Factor Analysis - 
(d) The Three Factor Analysis - 
(e) The Four Factor Analysis - 
(f) The Five Factor Analysis - 
(g) Incomplete Two-Factor Analysis: One Factor with Replication - 
(h) Incomplete Three-Factor Analysis: Two Factor with Replication - 
(i) Doubly Incomplete Three Factor Analysis: One Factor with - 
(j)Double Order Replication  Incomplete Four Factor Analysis: Three Factors with Replication - 
(k) Doubly Incomplete Four Factor Analysis: Two Factors with Double Order Replication  - 
(l) Trebly Incomplete Four Factor Analysis: One Factor with Triple Order Replication - 
(m) An Incomplete Five Factor Analysis - 

CHAPTER XII - 
MISCELLANEOUS ASPECTS OF THE ANALYSIS OF VARIANCE - 

(a) Introduction - 
(b) The Use of Components of Variance - 
(c) Partitioning a Sum of Squares into Linear, Quadratic, etc., Components - 
(d) The Assumption Underlying Factorial Design - 
(e) The Use of Interactions as Estimates of Error - 
(f) The Amount of Detail Required in Reports 132 - 
(g) The Theory of Chemical Sampling - 
(h) The Homogeneity of Data - 
(i) The Use of Logarithms in the Analysis of Variance - 
(j) Other Transformations in the Analysis of Variance - 
(k) Missing Values - 
(l) The Assumptions Underlying the Analysis of Variance - 

CHAPTER XIII - 
LATIN AND COMPLETELY ORTHOGONAL SQUARES - 

(a) Introduction - 
(b) Graeco-Latin and Completely Orthogonal Squares - 
(c) The Use of Latin Squares - 
(d) An Example of a Latin Square - 

CHAPTER XIV - 
BALANCED INCOMPLETE BLOCKS - 

(a) Introduction - 
(b) Computation - 
(c) Possible Designs - 
(d) Other Uses for Symmetrical Incomplete Blocks - 
(e) Youden Squares - 

CHAPTER XV - 
CONFOUNDING: THE PROBLEM OF RESTRICTED 
BLOCK SIZE IN FACTORIAL EXPERIMENTS - 

(a) The Algebraic Expressions for Factors - 
(b), Confounding with Three Factors - 
(c) Confounding with Four Factors - 
(d) Confounding with Five Factors - 
(e) Confounding with Six Factors - 
(f) Computation of the Results of a Confounded Experiment: an Example - 
(g) Confounding with Factors at Three Levels - 
(h) Confounding with Factors at Four Levels - 
(i) Double Confounding  - 

CHAPTER XVI - 
THE FRACTIONAL REPLICATION 
OF FACTORIAL EXPERIMENTS - 

(a) The Need for Fractional Replication - 
(b) The Construction of Confounding Arrangements - 
(c) A Simple Half-Replicated Arrangement - 
(d) Practical Half-Replicate Arrangements - 
(e) Confounding in Fractionally Replicated Experiments - 
(f) Higher Fractional Replications - 
(g) Construction of the Designs - 
(h) An Example of a Half-Replicate Experiment - 
(i) Experiments with Some Factors at Four Levels - 
U) Subsequently Decreasing the Order of Fractionation - 
(k) The Relationship Between Confounding and Fractional Replication - 

CHAPTER XVII - 
GENERAL CONCLUSIONS - 

(a) Investigation of Multi-Variable Processes - 
(b) The Advantages of Planning Experiments - 
(c) Conclusions - 

APPENDIX - 
Table I Table of t - 
Table II Table of X2  - 
Table III Tables of Variance Ratio  - 
Table IV Table of the Correlation Coefficient  - 
Table V Factors for Control Charts  - 
Table VI The Angular Transformation of Percentages to Degrees  - 
Table VII Abbreviated Table of Probits  - 
Table VIII Random Numbers  - 
Bibliography  - 
INDEX -

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