## The Design and Analysis of Scientific Experiments: An Introduction with Some Emphasis on Computation |

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### Contents

PRELIMINARIES | 1 |

TWOWAY ARRANGEMENTS | 22 |

THREEWAY AND MULTIWAY ARRANGEMENTS | 39 |

Copyright | |

12 other sections not shown

### Common terms and phrases

2-factor interaction 2K factorial ab(r ABC2 ABCD ABDF alias aliases analysis of variance analysis-of-variance table balanced incomplete block called cell column computed confidence interval confounded consider corresponding covariance defining contrasts degrees of freedom denote Design of Experiments distributed E E E E[MS equal error sum error variance estimate example experimental units F-test factorial experiment FRACTIONAL FACTORIAL DESIGNS given in Table Graeco-Latin square hypothesis incomplete block design independently jth level Latin squares lattice linear main effects matrix mean square method model equation modulo nested noncentral number of factors number of observations obtained orthogonal orthogonal polynomials parameter polynomials principal block procedure quadratic random variable READ INPUT TAPE rotatable design rows sample SAP.PUNCH OBJECT shown in Table Source SS d.f. squares due SSab Statistical subgroup SUBROUTINE sum of squares term treatment combinations two-way arrangement WRITE OUTPUT TAPE