×

Testing the identity of trends under the restriction of monotonicity in repeated measures designs. (English) Zbl 0482.62096


MSC:

62P15 Applications of statistics to psychology
62G10 Nonparametric hypothesis testing
62Q05 Statistical tables
62K99 Design of statistical experiments
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Abelson, R. P., & Tukey, J. W. Efficient utilization of non-numerical information in quantitative analysis: General theory and the case of simple order.Annals of Mathematical Statistics, 1963,34, 1347–1369. · Zbl 0121.13907 · doi:10.1214/aoms/1177703869
[2] Abramowitz, M., & Stegun, I. A.Handbook of mathematical functions. Washington: National Bureau of Standards, 1968. · Zbl 0171.38503
[3] Barlow, R. E., Bartholomew, D. J., Bremner, J. M., & Brunk, H. D.Statistical inference under order restrictions. New York: John Wiley & Sons, 1972. · Zbl 0246.62038
[4] Bartholomew, D. J. A test of homogeneity of means under restricted alternatives.Journal of the Royal Statistical Society, Series B, 1961,23, 239–281. · Zbl 0209.50303
[5] Hogg, R. V. On models and hypotheses with restricted alternatives.Journal of the American Statistical Association, 1965,60, 1153–1162. · Zbl 0134.15104 · doi:10.2307/2283413
[6] Huynh, H. Some approximate tests for repeated measurement designs.Psychometrika, 1978,43, 2, 161–175. · Zbl 0412.62082 · doi:10.1007/BF02293860
[7] Huynh, H., & Feldt, L. S. Conditions under which mean square ratios in repeated measurement designs have exactF-distributions.Journal of the American Statistical Association, 1970,65, 1582–1589. · Zbl 0224.62036 · doi:10.2307/2284340
[8] Huynh, H., & Mandeville, G. K. Validity conditions in repeated measures designs.Psychological Bulletin, 1979,86, 964–973. · doi:10.1037/0033-2909.86.5.964
[9] IBM Application Program, System/360.Scientific subroutines package (360-CM-03X) Version III, Programmer’s manual. White Plains, New York: IBM Corporation Technical Publication Department, 1971.
[10] IMSL Library 1. Houston: International Mathematical and Statistical Library, 1977.
[11] Kudô, A. A multivariate analogue of the one-sided test.Biometrika, 1963,50, 403–418. · Zbl 0121.13906
[12] Nelson, L. S. Tables for testing ordered alternatives in analysis of variance.Biometrika, 1977,64, 335–338. · Zbl 0369.62078 · doi:10.1093/biomet/64.2.335
[13] Pearson, K.Tables of the Incomplete Beta Function. Cambridge: University Press, 1934. · Zbl 0008.30403
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.