Type IV Errors and Analysis of Simple Effects
| Autor: | M. Austin Betz, K. Ruben Gabriel |
|---|---|
| Rok vydání: | 1978 |
| Předmět: |
05 social sciences
Degrees of freedom (statistics) 050401 social sciences methods 050301 education Word error rate Type III error 0504 sociology Simple (abstract algebra) Statistics Multiple comparisons problem A priori and a posteriori 0503 education Type I and type II errors Mathematics Statistical hypothesis testing |
| Zdroj: | Journal of Educational Statistics. 3:121-143 |
| ISSN: | 0362-9791 |
| DOI: | 10.3102/10769986003002121 |
| Popis: | Games (1973) , Levin and Marascuilo (1973) and Marascuilo and Levin (1970 , 1976) have raised a number of issues pertaining to the analysis of simple effects in designs with two factors. This paper presents procedures for analyzing interactions and simple effects in two-way designs with suggestions for implementation in aptitude-treatment interaction studies. It is shown how to choose a composite hypothesis so as to avoid type IV errors, control the experimentwise error rate for the family implied by the composite hypothesis and determine type I and type II error rates for hypotheses based on fewer degrees of freedom implied by a composite hypothesis. A numerical example is used to illustrate the concepts. Apriori approaches are also considered and compared. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|