Inferences for Two or More Means
| Autor: | William J. Wilson, Rudolf J. Freund, Donna L. Mohr |
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| Rok vydání: | 2022 |
| Předmět: | |
| DOI: | 10.1016/b978-0-12-823043-5.00006-0 |
| Popis: | This chapter describes the analysis of variance (ANOVA) method for testing the equality of a set of means and examines the use of the linear model to justify this method. It presents the assumptions necessary for the validity of the results of ANOVA and discusses the remedial methods if these assumptions are not met. It also discusses the procedures for specific comparisons among selected means and provides an alternative to the analysis of variance called the “analysis of means.” The ANOVA provides a methodology for making inferences for means from any number of populations. The inferences based on data resulting from independently drawn samples from t populations are discussed. This data structure is called a “one-way classification” or “completely randomized design.” The analysis of variance is based on the comparison of the estimated variance among sample means to the estimated variance of observations within the samples. A heuristic justification for the analysis of variance procedure for the balanced case is presented. |
| Databáze: | OpenAIRE |
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