## Fundamental concepts in the design of experiments |

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### Contents

The Experiment the Design and the Analysis | 1 |

Review of Statistical Inference | 15 |

3 | 36 |

Copyright | |

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22 factorial ABC2 adjusted aliases analysis of variance Analyze ANOVA table Assuming average brand cell chosen at random coefficients completely randomized design components computed confidence limits considered current flow degrees of freedom determine EMS column equation equispaced error mean square error term estimate example experimental F test factorial experiment factors Figure given in Table gives Graeco-Latin square groups hypothesis i j k independent variables indicate interaction Latin square linear regression machine main effects mathematical model operators orthogonal contrasts percent level plot polynomial population prediction pretest principal block printout Problem quadratic effect quantitative randomized block design regression reject H0 replication response variable restrictions sample shown in Table shows Source df SS SS MS F standard deviation subtracting sum of squares temperature test statistic thickness tion tool type Totals treatment combinations treatment means values vendors Yates yield Yijk zero