Some Thoughts Regarding the Sensitivity of t to Error in Estimated Within-Group Variance
Bibliographic Data
| ID | 10131322 |
|---|---|
| Authors | William P Dunlap (Tulane University, corresponding author) |
| Year | 2003 |
| Volume | 130 |
| Issue | 1 |
| Pages | 59-65 |
| Publication date | 2003-01-01 |
| Peer Reviewed | Yes |
| Open Access | No |
| Type | ARTICLE |
| Venue | The Journal of General Psychology (JOURNAL) |
| Journal identifiers | ISSN: 0022-1309 • E-ISSN: 1940-0888 |
| Publisher | Informa UK Limited (PUBLISHER • GB) |
| DOI | 10.1080/00221300309601274 |
| PMID | 12635856 |
| OpenAlex | W2048700234 |
| Language | EN |
| Citations received | 1 |
| References cited | 5 |
A. J. Riopelle (2003) has eloquently demonstrated that the null hypothesis assessed by the t test involves not only mean differences but also error in the estimation of the within-group standard deviation, s. He is correct in his conclusion that the precision of the interpretation of a significant t and the null hypothesis tested is complex, particularly when sample sizes are small. In this article, the author expands on Riopelle's thoughts by comparing t with some equivalent or closely related tests that make the reliance of t on the accurate estimation of error perhaps more salient and by providing a simulation that may address more directly the magnitude of the interpretational problem
Data mining · Econometrics · Economics · Estimation · Interpretation (philosophy) · Linguistics · Null (SQL) · Null hypothesis · Salient · Standard error · Statistics · Type I and type II errors · Variance (accounting) · Advanced Statistical Methods and Models · Advanced Statistical Modeling Techniques · Artificial Intelligence · Computer Science · Mathematics · Philosophy · Psychology · Statistical Methods and Inference
| Unique citing works | 1 |
|---|---|
| Citations per year | 0,05 |
| Citation span | 2004 - 2004 (1) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 1 |