## Analysis of variance in experimental designAs an introductory textbook on the analysis of variance or a reference for the researcher, this text stresses applications rather than theory, but gives enough theory to enable the reader to apply the methods intelligently rather than mechanically. Comprehensive, and covering the important techniques in the field, including new methods of post hoc testing. The relationships between different research designs are emphasized, and these relationships are exploited to develop general principles which are generalized to the analyses of a large number of seemingly differentdesigns. Primarily for graduate students in any field where statistics are used. |

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### Contents

chapter | 10 |

Comparing Groups | 47 |

Other Multiple Comparison Methods | 71 |

Copyright | |

18 other sections not shown

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### Common terms and phrases

analysis of covariance analysis of variance analyzed approximately assume balanced incomplete blocks BC interaction calculated cell means Chapter coefficients data from Table data in Table degrees of freedom dependent variables design in Table diagonal drugs equal variances Equation error term example expected mean squares expected value F distribution F ratio F test fixed-effects model grand mean groups incomplete blocks design independent latin square levels of Factor linear combination linear trend main effect MANOVA matrix method MSab multiplier nested designs normally distributed null hypothesis number of levels number of scores obtained one-way design paired parentheses planned comparisons problem procedure proper numbers proper vectors Quad quadratic trend random factor random-effects model randomly raw sum score per cell SPSS SS df SSab statistics subcommand subscript subtracted sums of squares Theorem three-way design total number trend analysis trend components two-way design variances and covariances zero