메뉴 건너뛰기




Volumn 53, Issue 1, 1997, Pages 340-351

Distribution-free tests for one-way homoscedasticity in a two-way classification

Author keywords

Grubbs' estimator; Homogeneity of variances; Measurement errors; Nonparametric test; Phenotypic stability; Rank transformation; Scores; Two way classification

Indexed keywords

MEASUREMENT ERRORS; NORMAL DISTRIBUTION;

EID: 0030893457     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.2307/2533119     Document Type: Article
Times cited : (10)

References (35)
  • 1
    • 0041959986 scopus 로고
    • Rank tests of subhypotheses in the general linear regression
    • Adichie, J. N. (1978). Rank tests of subhypotheses in the general linear regression. Annals of Statistics 6, 1012-1026.
    • (1978) Annals of Statistics , vol.6 , pp. 1012-1026
    • Adichie, J.N.1
  • 5
    • 85153218642 scopus 로고
    • The evaluation of phenotypic stability using nonparametric rank tests
    • Brunner, E. and Gefeller, O. (1995). The evaluation of phenotypic stability using nonparametric rank tests (abstract). Biometrical Bulletin 12(2), 5.
    • (1995) Biometrical Bulletin , vol.12 , Issue.2 , pp. 5
    • Brunner, E.1    Gefeller, O.2
  • 6
    • 84920303248 scopus 로고
    • The joint distribution of the standardized row sums of squares from a balanced two-way layout
    • Ellenberg, J. H. (1977). The joint distribution of the standardized row sums of squares from a balanced two-way layout. Journal of the American Statistical Association 72, 407-411.
    • (1977) Journal of the American Statistical Association , vol.72 , pp. 407-411
    • Ellenberg, J.H.1
  • 7
    • 84944811700 scopus 로고
    • The use of ranks to avoid the assumption of normality implicit in the analysis of variance
    • Friedman, M. (1937). The use of ranks to avoid the assumption of normality implicit in the analysis of variance. Journal of the American Statistical Association 32, 675-701.
    • (1937) Journal of the American Statistical Association , vol.32 , pp. 675-701
    • Friedman, M.1
  • 8
    • 0029150701 scopus 로고
    • REML estimation of multiplicative effects in multienvironmental variety trials
    • Gogel, B. J., Cullis, B. R., and Verbyla, A. P. (1995). REML estimation of multiplicative effects in multienvironmental variety trials. Biometrics 51, 744-749.
    • (1995) Biometrics , vol.51 , pp. 744-749
    • Gogel, B.J.1    Cullis, B.R.2    Verbyla, A.P.3
  • 9
    • 0041053343 scopus 로고
    • Variance heterogeneity in a randomized complete block design
    • Graybill, F. A. (1954). Variance heterogeneity in a randomized complete block design. Biometrics 10, 516-520.
    • (1954) Biometrics , vol.10 , pp. 516-520
    • Graybill, F.A.1
  • 10
    • 0000596160 scopus 로고
    • On estimation of precision of measuring instruments and product variability
    • Grubbs, F. E. (1948). On estimation of precision of measuring instruments and product variability. Journal of the American Statistical Association 43, 243-264.
    • (1948) Journal of the American Statistical Association , vol.43 , pp. 243-264
    • Grubbs, F.E.1
  • 11
    • 0008554940 scopus 로고
    • Testing the homogeneity of variances in a two-way classification
    • Han, C. P. (1969). Testing the homogeneity of variances in a two-way classification. Biometrics 25, 153-158.
    • (1969) Biometrics , vol.25 , pp. 153-158
    • Han, C.P.1
  • 12
    • 0024431863 scopus 로고
    • On tests of significance for nonparametric measures of phenotypic stability
    • Hühn, M. and Nassar, R. (1989). On tests of significance for nonparametric measures of phenotypic stability. Biometrics 45, 997-1000.
    • (1989) Biometrics , vol.45 , pp. 997-1000
    • Hühn, M.1    Nassar, R.2
  • 13
    • 0016953738 scopus 로고
    • Large sample tests for Grubbs' estimators in instrument precision with more than two instruments
    • Jaech, J. L. (1976). Large sample tests for Grubbs' estimators in instrument precision with more than two instruments. Technometrics 18, 127-133.
    • (1976) Technometrics , vol.18 , pp. 127-133
    • Jaech, J.L.1
  • 15
    • 0343300944 scopus 로고
    • Some notes on the investigation of heterogeneity in interactions
    • Johnson, N. L. (1962). Some notes on the investigation of heterogeneity in interactions. Trabajos de Estadistica XIII, 183-199.
    • (1962) Trabajos de Estadistica , vol.13 , pp. 183-199
    • Johnson, N.L.1
  • 18
    • 0016783957 scopus 로고
    • A multiple range procedure for correlated variances in a two-way classification
    • Levy, K. J. (1975). A multiple range procedure for correlated variances in a two-way classification. Biometrics 31, 243-246.
    • (1975) Biometrics , vol.31 , pp. 243-246
    • Levy, K.J.1
  • 19
    • 84920301275 scopus 로고
    • Letter
    • Mandel, J. (1993). Letter. Biometrics 49, 1275-1276.
    • (1993) Biometrics , vol.49 , pp. 1275-1276
    • Mandel, J.1
  • 20
    • 0026770113 scopus 로고
    • Testing heteroscedasticity in a two-way table
    • Mudholkar, G. S. and Sarkar, I. C. (1992). Testing heteroscedasticity in a two-way table. Biometrics 48, 883-888.
    • (1992) Biometrics , vol.48 , pp. 883-888
    • Mudholkar, G.S.1    Sarkar, I.C.2
  • 21
    • 84990516769 scopus 로고
    • Responses to Mandel's and Snee's letters
    • Mudholkar, G. S. and Sarkar, I. C. (1993a). Responses to Mandel's and Snee's letters. Biometrics 49, 1277-1278.
    • (1993) Biometrics , vol.49 , pp. 1277-1278
    • Mudholkar, G.S.1    Sarkar, I.C.2
  • 22
    • 84920290725 scopus 로고
    • Response to Piepho's letter
    • Mudholkar, G. S. and Sarkar, I. C. (1993b). Response to Piepho's letter. Biometrics 49, 1280.
    • (1993) Biometrics , vol.49 , pp. 1280
    • Mudholkar, G.S.1    Sarkar, I.C.2
  • 23
    • 0023159517 scopus 로고
    • Studies on estimation of phenotypic stability: Tests of significance for nonparametric measures of phenotypic stability
    • Nassar, R. and Huhn, M. (1987). Studies on estimation of phenotypic stability: Tests of significance for nonparametric measures of phenotypic stability. Biometrics 43, 45-53.
    • (1987) Biometrics , vol.43 , pp. 45-53
    • Nassar, R.1    Huhn, M.2
  • 25
    • 0342431359 scopus 로고
    • Testing homoscedasticity
    • Piepho, H. P. (1993). Testing homoscedasticity (letter). Biometrics 49, 1279-1280.
    • (1993) Biometrics , vol.49 , pp. 1279-1280
    • Piepho, H.P.1
  • 26
    • 0040459394 scopus 로고
    • C410. A distribution-free test for homoscedasticity in a two-way layout
    • Piepho, H. P. (1994). C410. A distribution-free test for homoscedasticity in a two-way layout. Journal of Statistical Computation and Simulation 49, 223-225.
    • (1994) Journal of Statistical Computation and Simulation , vol.49 , pp. 223-225
    • Piepho, H.P.1
  • 27
    • 0030898879 scopus 로고    scopus 로고
    • Analyzing genotype-environment data by mixed models with multiplicative effects
    • Piepho, H. P. (1996). Analyzing genotype-environment data by mixed models with multiplicative effects. Biometrics 53, 242-252.
    • (1996) Biometrics , vol.53 , pp. 242-252
    • Piepho, H.P.1
  • 28
    • 0001274062 scopus 로고
    • Significance tests which may be applied to samples from any population. III. The analysis of variance test
    • Pitman, E. J. G. (1938). Significance tests which may be applied to samples from any population. III. The analysis of variance test. Biometrika 29, 322-335.
    • (1938) Biometrika , vol.29 , pp. 322-335
    • Pitman, E.J.G.1
  • 30
    • 0000798758 scopus 로고
    • Nonparametric methods in two-way layouts
    • P. R. Krishnaiah and P. K. Sen (eds), New York: North-Holland
    • Quade, D. (1984). Nonparametric methods in two-way layouts. In Nonparametric Methods. Handbook of Statistics, Volume 4, P. R. Krishnaiah and P. K. Sen (eds), 185-228. New York: North-Holland.
    • (1984) Nonparametric Methods. Handbook of Statistics , vol.4 , pp. 185-228
    • Quade, D.1
  • 31
    • 0015410801 scopus 로고
    • Some statistical aspects of partitioning genotype-environmental components of variability
    • Shukla, G. K. (1972a). Some statistical aspects of partitioning genotype-environmental components of variability. Heredity 29, 237-245.
    • (1972) Heredity , vol.29 , pp. 237-245
    • Shukla, G.K.1
  • 32
    • 0040459397 scopus 로고
    • An invariant test for homogeneity of variances in a two-way classification
    • Shukla, G. K. (1972b). An invariant test for homogeneity of variances in a two-way classification. Biometrics 28, 1063-1072.
    • (1972) Biometrics , vol.28 , pp. 1063-1072
    • Shukla, G.K.1
  • 33
    • 0041053341 scopus 로고
    • Testing the heterogeneity of variances in a two-way classification
    • Shukla, G. K. (1982). Testing the heterogeneity of variances in a two-way classification. Biometrika 69, 411-416.
    • (1982) Biometrika , vol.69 , pp. 411-416
    • Shukla, G.K.1
  • 34
    • 0342865888 scopus 로고
    • Nonadditivity in a two-way classification: Is it interaction or nonhomogeneous variance
    • Snee, J. (1982). Nonadditivity in a two-way classification: Is it interaction or nonhomogeneous variance. Journal of the American Statistical Association 77, 515-519.
    • (1982) Journal of the American Statistical Association , vol.77 , pp. 515-519
    • Snee, J.1
  • 35
    • 84920291803 scopus 로고
    • Letter
    • Snee, J. (1993). Letter. Biometrics 49, 1276-1277.
    • (1993) Biometrics , vol.49 , pp. 1276-1277
    • Snee, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.