The psychometric function: II. Bootstrap-based confidence intervals and sampling

Perception and Psychophysics

Volumn 63, Issue 8, 2001, Pages 1314-1329

  Wichmann, Felix A ^a,b   Hill, N Jeremy ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b MAX PLANCK INSTITUTE FOR BIOLOGICAL CYBERNETICS   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CONFIDENCE INTERVAL; HUMAN; METHODOLOGY; MONTE CARLO METHOD; PERCEPTIVE THRESHOLD; PSYCHOMETRY; PSYCHOPHYSICS; STATISTICAL MODEL; STATISTICS;

CONFIDENCE INTERVALS; HUMANS; MODELS, STATISTICAL; MONTE CARLO METHOD; PSYCHOMETRICS; PSYCHOPHYSICS; SENSORY THRESHOLDS;

EID: 0035522548     PISSN: 00315117     EISSN: None     Source Type: Journal    
DOI: 10.3758/BF03194545     Document Type: Article

References (29)

1. COX, D. R., & HINKLEY, D. V. (1974). Theoretical statistics. London: Chapman and Hall.
2. DAVISON, A. C., & HINKLEY, D. V. (1997). Bootstrap methods and their application. Cambridge: Cambridge University Press.
3. EFRON, B. (1979). Bootstrap methods: Another look at the jackknife. Annals of Statistics, 7, 1-26.
4. EFRON, B. (1982). The jackknife, the bootstrap and other resampling plans (CBMS-NSF Regional Conference Series in Applied Mathematics). Philadelphia: Society for Industrial and Applied Mathematics.
5. EFRON, B. (1987). Better bootstrap confidence intervals. Journal of the American Statistical Association, 82, 171-200.
6. EFRON, B. (1988). Bootstrap confidence intervals: Good or bad? Psychological Bulletin, 104, 293-296.
7. EFRON, B., & GONG, G. (1983). A leisurely look at the bootstrap, the jackknife, and cross-validation. American Statistician, 37, 36-48.
8. EFRON, B., & TIBSHIRANI, R. (1991). Statistical data analysis in the computer age. Science, 253, 390-395.
9. EFRON, B., & TIBSHIRANI, R. J. (1993). An introduction to the bootstrap. New York: Chapman and Hall.
10. FINNEY, D. J. (1952). Probit analysis (2nd ed.). Cambridge: Cambridge University Press.
11. FINNEY, D. J. (1971). Probit analysis. (3rd ed.). Cambridge: Cambridge University Press.
12. FOSTER, D. H., & BISCHOF, W. F. (1987). Bootstrap variance estimators for the parameters of small-sample sensory-performance functions. Biological Cybernetics, 57, 341-347.
13. FOSTER, D. H., & BISCHOF, W. F. (1991). Thresholds from psychometric functions: Superiority of bootstrap to incremental and probit variance estimators. Psychological Bulletin, 109, 152-159.
14. FOSTER, D. H., & BISCHOF, W. F. (1997). Bootstrap estimates of the statistical accuracy of thresholds obtained from psychometric functions. Spatial Vision, 11, 135-139.
15. HALL, P. (1988). Theoretical comparison of bootstrap confidence intervals (with discussion). Annals of Statistics, 16, 927-953.
16. HILL, N. J. (2001a, May). An investigation of bootstrap interval coverage and sampling efficiency in psychometric functions. Poster presented at the Annual Meeting of the Vision Sciences Society, Sarasota, FL.
17. HILL, N. J. (2001b). Testing hypotheses about psychometric functions: An investigation of some confidence interval methods, their validity, and their use in assessing optimal sampling strategies. Forthcoming doctoral dissertation, Oxford University.
18. HILL, N. J., & WICHMANN, F. A. (1998, April). A bootstrap method for testing hypotheses concerning psychometric functions. Paper presented at the Computers in Psychology, York, U.K.
19. HINKLEY, D. V. (1988). Bootstrap methods. Journal of the Royal Statistical Society B, 50, 321-337.
20. KENDALL, M. K., & STUART, A. (1979). The advanced theory of statistics: Vol. 2. Inference and relationship. New York: Macmillan.
21. LAM, C. F., MILLS, J. H., & DUBNO, J. R. (1996). Placement of observations for the efficient estimation of a psychometric function. Journal of the Acoustical Society of America, 99, 3689-3693.
22. MALONEY, L. T. (1990). Confidence intervals for the parameters of psychometric functions. Perception & Psychophysics, 47, 127-134.
23. MCKEE, S. P., KLEIN, S. A., & TELLER, D. Y. (1985). Statistical properties of forced-choice psychometric functions: Implications of probit analysis. Perception & Psychophysics, 37, 286-298.
24. RASMUSSEN, J. L. (1987). Estimating correlation coefficients: Bootstrap and parametric approaches. Psychological Bulletin, 101, 136-139.
25. RASMUSSEN, J. L. (1988). Bootstrap confidence intervals: Good or bad. Comments on Efron (1988) and Strube (1988) and further evaluation. Psychological Bulletin, 104, 297-299.
26. STRUBE, M. J. (1988). Bootstrap type I error rates for the correlation coefficient: An examination of alternate procedures. Psychological Bulletin, 104, 290-292.
27. TREUTWEIN, B. (1995, August). Error estimates for the parameters of psychometric functions from a single session. Poster presented at the European Conference of Visual Perception, Tübingen.
28. TREUTWEIN, B., & STRASBURGER, H. (1999, September). Assessing the variability of psychometric functions. Paper presented at the European Mathematical Psychology Meeting, Mannheim.
29. WICHMANN, F. A., & HILL, N. J. (2001). The psychometric function: I. Fitting, sampling, and goodness of fit. Perception & Psychophysics, 63, 1293-1313.