## The Design of ExperimentsIntroduction; The orinciples of experimentation; illustrated by a psycho-physical experiment; A historical experiment on growth rate; An agricultural experiment in randomised blocks; The latin square; The factorial design in experimentation; Confounding; Special cases of partial confounding; The increase of precision by concomitamt measurements statistical control; The generalisation of null hypotheses fiducial probability; The measurement of amount of information in general. |

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### Contents

INTRODUCTION 1 The Grounds on which Evidence is Disputed I | 1 |

The Mathematical Attitude towards Induction | 3 |

The Rejection of Inverse Probability | 6 |

Copyright | |

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### Common terms and phrases

advantage agricultural amount of information analysis of variance applied appropriate arrangement assigned average calculation cent chosen coefficients columns combinations compared components contrasts corresponding cups degrees of freedom Design of Experiments discrepancies divided effects eliminated equal estimate of error evaluated example experiment experimental design fact factors fiducial final weights four frequency give Graeco-Latin square groups heterogeneity heterozygotes illustrated independent comparisons ingredients initial weight kind large number Latin square level of significance limits linkage manurial mean square measured ment mixtures nitrogen normal distribution null hypothesis number of degrees observed obtained pairs particular phosphate plots receiving possible potash probability procedure quantity of nitrogen R. A. Fisher random ratio real errors replication represent respect Rothamsted Experimental Station rows sampling self-fertilised plants shown single standard error Statistical Methods subgroup sum of squares supply TABLE test of significance theory of errors tion trials triple interactions valid variation varieties yields