On Ratio Scales of Weight
Bibliographic Data
| ID | 19277899 |
|---|---|
| Authors | Kazuo Nakatani (Sensyu University, corresponding author) |
| Year | 1967 |
| Volume | 9 |
| Issue | 4 |
| Pages | 155-165 |
| Publication date | 1967-01-01 |
| Open Access | No |
| Type | ARTICLE |
| Venue | Japanese Psychological Research (JOURNAL) |
| Journal identifiers | ISSN: 0021-5368 • E-ISSN: 1468-5884 |
| Publisher | The Japanese Psychological Association (PUBLISHER • JP) |
| DOI | 10.4992/psycholres1954.9.155 |
| OpenAlex | W903369425 |
| Language | EN |
| Citations received | 1 |
| References cited | 1 |
Stevens' power law is examined by magnitude estimation method and ratio rating method. Stimuli are nine plastic cylinders weighing from 40 to 200 g. The criteria for prothetic-metathetic dichotomy are discussed in terms of ratio axioms and distribution functions. We find three kinds of biases, corresponding to the axioms, which originated from stimulus presentation procedures. So called ratio scale constructed by direct method cannot be conceived as a ratio scale in its original form, as it will not satisfy the axioms. After the biases are eliminated and the scale values are revised, we obtain power psychophysical equation. Psychological scaling methods are closely related to definitions about distribution function of sensation magnitude. Curvilinear relationship between category scale and ratio scale is an artifact due to the definitions
Axiom · Geometry · Mathematical analysis · Physics · Power function · Scale (ratio) · Scaling · Statistics · Complex Systems and Dynamics · Mathematics · Mathematics and Applications · Sports Dynamics and Biomechanics
| Citations per year | 0.02 |
|---|---|
| Citation span | 1971 - 1971 (1) |
| Highly cited | No |