## Multiple Regression: Testing and Interpreting InteractionsThis successful book, now available in paperback, provides academics and researchers with a clear set of prescriptions for estimating, testing and probing interactions in regression models. Including the latest research in the area, such as Fuller's work on the corrected/constrained estimator, the book is appropriate for anyone who uses multiple regression to estimate models, or for those enrolled in courses on multivariate statistics. |

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### Contents

Interactions Between Continuous Predictors in Multiple | 9 |

The Effects of Predictor Scaling on Coefficients | 28 |

Testing and Probing ThreeWay Interactions | 49 |

Structuring Regression Equations to Reflect Higher Order | 62 |

Model and Effect Testing with Higher Order Terms | 100 |

Interactions Between Categorical and Continuous Variables | 116 |

Reliability and Statistical Power | 139 |

Mathematical Underpinnings | 177 |

Algorithm for Identifying ScaleIndependent Terms | 183 |

References | 190 |

Glossary of Symbols | 198 |

Author Index | 204 |

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### Common terms and phrases

additive ANOVA approach calculated centered Chapter coding Cohen colleges complex components COMPUTE conditional considered constant continuous variables contrast correlation covariance criterion cross crossproduct curve curvilinear dummy effect equal equations containing error estimates example expression Figure follows given higher order terms illustrated included increases interaction interpretation involving levels linear lower order matrix mean measurement error multiple Note original overall positive predicted predictor predictor variables presented probing problem procedure range regres regression analysis regression coefficients regression of Y regression of Yon relationship reliability represents researchers respectively sample scale scores shows significant simple regression equations simple regression lines simple slope sion solution specific squared standard deviation standard error statistical substitute t-test Table theory tion transformed uncentered values of Z variance versus Y on X zero

### Popular passages

Page 192 - Cohen, J., & Cohen, P. (1983). Applied multiple regression/correlation analyses for the behavioral sciences (2nd ed.). Hillsdale. NJ: Lawrence Erlbaum.

Page 192 - The estimation and interpretation of modifier effects. Journal of Health and Social Behavior, 23, 159-169.

Page 191 - New York: Academic Press. Bohrnstedt, GW, & Carter, TM (1971). Robustness in regression analysis. In HL Costner (Ed.), Sociological methodology 1971 (pp. 118-146). San Francisco: JosseyBass. Bollen, KA, & Barb, KH (1981).