Construction of a Score Method for Testing against Ordered Alternative for Interaction Effects in Two-way Analysis of Variance Model －In the Case of Two Factors with Ordered Levels－

DOI

Bibliographic Information

Other Title
  • 交互作用効果の傾向のある対立仮説に対するスコア法の構成－両方の因子に自然な順序がある場合－

Description

In a two-way analysis of variance, we are confronted with many cases in which it is not enough to test only if there are interaction effects or not. Those are the cases we must consider the alternatives with inequality restrictions to the interaction effects. In this paper, a simple method for constructing a score statistic is proposed, and the usefulness of the proposed statistic is shown by comparing the powers of the proposed score method, other score methods and usual F test against some typical alternatives. Further we indicate that we can construct the score which can be applied for the case of unbalanced replications, which has not been examined yet.

Journal

Details 詳細情報について

  • CRID
    1390001288124072576
  • NII Article ID
    110003155295
  • DOI
    10.20684/quality.19.4_13
  • ISSN
    24321044
    03868230
  • Text Lang
    ja
  • Data Source
    • JaLC
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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