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 -