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 -