Some Graphs Useful for Statistical Inference

Guenther, William C.; Thomas, P. O.

doi:10.2307/2283157

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2010

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Cited by 3 publications

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“…Additional References: Dunn and Massey (1965) ; Goldfeld and Quandt (1965); Guenther and Thomas (1965); Hyrenius and others (1964); Mielke and McHugh (1965) ;Neter, Maynes, and Ramanathan (1965); Owen (1965); Sprent (1965).…”

Section: Miscellaneous Studiesmentioning

confidence: 99%

Chapter I: Design and Analysis Methodology—An Overview

McLean¹

1966

Review of Educational Research

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Section: Miscellaneous Studiesmentioning

confidence: 99%

Chapter I: Design and Analysis Methodology—An Overview

McLean¹

1966

Review of Educational Research

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Determination of sample size for tests concerning means and variances of normal distributions

Guenther

1973

Statistica Neerlandica

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Sample size determination for confidence intervals of interaction effects in moderated multiple regression with continuous predictor and moderator variables

Shieh

2010

Behavior Research Methods

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Moderated multiple regression (MMR) has been widely employed to analyze the interaction or moderating effects in behavior and related disciplines of social science. Much of the methodological literature in the context of MMR concerns statistical power and sample size calculations of hypothesis tests for detecting moderator variables. Notably, interval estimation is a distinct and more informative alternative to significance testing for inference purposes. To facilitate the practice of reporting confidence intervals in MMR analyses, the present article presents two approaches to sample size determinations for precise interval estimation of interaction effects between continuous moderator and predictor variables. One approach provides the necessary sample size so that the designated interval for the least squares estimator of moderating effects attains the specified coverage probability. The other gives the sample size required to ensure, with a given tolerance probability, that a confidence interval of moderating effects with a desired confidence coefficient will be within a specified range. Numerical examples and simulation results are presented to illustrate the usefulness and advantages of the proposed methods that account for the embedded randomness and distributional characteristic of the moderator and predictor variables.

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Some Graphs Useful for Statistical Inference

Cited by 3 publications

References 0 publications

Chapter I: Design and Analysis Methodology—An Overview

Chapter I: Design and Analysis Methodology—An Overview

Determination of sample size for tests concerning means and variances of normal distributions

Sample size determination for confidence intervals of interaction effects in moderated multiple regression with continuous predictor and moderator variables

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