Hypothesis of multisample sphericity. (English) Zbl 0587.62105
Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 136, 153-161 (Russian) (1984; Zbl 0549.62040).
MSC:
| 62H15 | Hypothesis testing in multivariate analysis |
| 62H10 | Multivariate distribution of statistics |
Citations:
Zbl 0549.62040References:
| [1] | H. Huynh and L. S. Feldt, ?Conditions under mean-square ratios in repeated measurement designs have exact F-distributions,? J. Am. Stat. Assoc, 65, 1582?1585 (1970). · Zbl 0224.62036 · doi:10.1080/01621459.1970.10481187 |
| [2] | J. L. Mendoza, ?A significance test for multisample sphericity,? Psychometrika,45, 495?498 (1980). · Zbl 0452.62040 · doi:10.1007/BF02293611 |
| [3] | J. W. Mauchly, ?Significance test for sphericity of a normal n-variate distribution,? Ann. Math. Stat.,11, 204?209 (1940). · JFM 66.0641.04 · doi:10.1214/aoms/1177731915 |
| [4] | A. M. Mathai and P. N. Rathie, ?The exact distribution for the sphericity test,? J. Stat. Res.,4, 140?159 (1970). · Zbl 0218.62054 |
| [5] | A. M. Mathai, ?A short note on the nonnull distribution for the problem of sphericity,? Sankhya, Ser. B,39, 102 (1977). |
| [6] | A. M. Mathai and R. K. Saxena, The H-Function with Applications in Statistics and Other Disciplines, Wiley, New York (1978). · Zbl 0382.33001 |
| [7] | A. M. Mathai, ?The exact distribution of Bartlett’s criterion,? Publ. L’SUP, Paris,19, 1?15 (1970). |
| [8] | A. M. Mathai and P. N. Rathie, ?The exact nonnull distribution for testing equality of covariance matrices,? Sankhya, Ser. A,42, 78?87 (1980). · Zbl 0487.62044 |
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