The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Multi-response permutation procedures for a priori classifications
Abstract
An exact permutation test for analyzing and/or dredging multi-response data at the ordinal or higher levels is presented. The associated test statistic is based on the average distance (or any specified norm) between points within a priori disjoint subgroups of a finite population of points in an r-dimensional space (corresponding to r measured responses from each object in a finite population of objects). Alternative approximate tests based on the beta and normal distributions are provided. Two detailed examples utilizing actual social science data are considered, including comparisons of the approximate tests. An additional example describes the behavior of these tests under a variety of conditions, including extreme data configurations
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Statistics for the social sciences
Hays, W. L. (1973) · Medical Entomology and Zoology · Cited by 2,081
The effects of violations of assumptions underlying the t test.
Boneau, C. A. (1960) · Psychological Bulletin · doi:10.1037/h0041412 · Cited by 790
Robertson, C. A., Andrews, D. F., Bickel, P. J., Hanpel, F. R., Huber, P. J., Rogers, W. H., & Tukey, J. W. (1972) · Biometrics · doi:10.2307/2528653 · Cited by 462
Some Observations on Measurement and Statistics
Labovitz, S. (1967) · Social Forces · doi:10.2307/2574595 · Cited by 356
Path Analysis and Ordinal Data
Boyle, R. P. (1970) · American Journal of Sociology · doi:10.1086/224870 · Cited by 210
Bates, G. E., & McNemar, Q. (1964) · The American Mathematical Monthly · doi:10.2307/2310937 · Cited by 173
Self-esteem: A self-social construct.
Ziller, R. C., Hagey, J., Smith, M. B., & Long, B. H. (1969) · Journal of Consulting and Clinical Psychology · doi:10.1037/h0027374 · Cited by 146
On the Limiting Distributions of Estimates Based on Samples from Finite Universes
Madow, W. G. (1948) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177730149 · Cited by 104
Cited by
A new method for non-parametric multivariate analysis of variance
Anderson, M. J. (2001) · Austral Ecology · doi:10.1111/j.1442-9993.2001.01070.pp.x · Cited by 13,828
FITTING MULTIVARIATE MODELS TO COMMUNITY DATA: A COMMENT ON DISTANCE-BASED REDUNDANCY ANALYSIS
McArdle, B. H., & Anderson, M. J. (2001) · Ecology · doi:10.1890/0012-9658(2001)082[0290:fmmtcd]2.0.co;2 · Cited by 4,001
Distance‐Based Tests for Homogeneity of Multivariate Dispersions
Anderson, M. J. (2006) · Biometrics · doi:10.1111/j.1541-0420.2005.00440.x · Cited by 3,304
Permutation Tests for Linear Models
Anderson, M. J., & Robinson, J. (2001) · Australian & New Zealand Journal of Statistics · doi:10.1111/1467-842x.00156 · Cited by 555
Kang, D.-W., DiBaise, J. K., Ilhan, Z. E., Crowell, M. D., Rideout, J. R., Caporaso, J. G., Rittmann, B. E., & Krajmalnik-Brown, R. (2015) · Anaerobe · doi:10.1016/j.anaerobe.2015.01.005 · Cited by 55
Metadata
- Authors
- Mielke, P. W., Berry, K. J., & Johnson, E. S.
- Venue
- Communications in Statistics - Theory and Methods
- Publisher
- Informa UK Limited
- Published
- 1976-01
- Volume
- 5
- Issue
- 14
- Pages
- 1409-1424
- ISSN
- 0361-0926 (ISSN-L)
- 1532-415X
- OpenAlex
- W1970263318
- Cited by
- 310
- References
- 8
- FWCI
- 3.19
- Type
- journal article
- Language
- en
- Open access
- closed
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- Mielke, P. W., Berry, K. J., & Johnson, E. S. (1976). Multi-response permutation procedures for a priori classifications. Communications in Statistics - Theory and Methods. https://doi.org/10.1080/03610927608827451
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