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Volumn 77, Issue 6, 2007, Pages 517-526

A comparative study of nonparametric two-sample tests after Levene's transformation

Author keywords

Homogeneity of variance; Linear rank statistic; Permutation test; Unbalanced sample sizes

Indexed keywords


EID: 34249052218     PISSN: 00949655     EISSN: 15635163     Source Type: Journal    
DOI: 10.1080/00949650601173996     Document Type: Article
Times cited : (8)

References (33)
  • 1
    • 10644230786 scopus 로고    scopus 로고
    • Testing for mean and variance differences with samples from distributions that may be non-normal with unequal variances
    • Manly, B.F.J. and Francis, R.I.C.C., 2002, Testing for mean and variance differences with samples from distributions that may be non-normal with unequal variances. Journal of Statistical Computation and Simulation, 72, 633-646.
    • (2002) Journal of Statistical Computation and Simulation , vol.72 , pp. 633-646
    • Manly, B.F.J.1    Francis, R.I.C.C.2
  • 2
    • 2342655763 scopus 로고    scopus 로고
    • The Fisher-Pitman permutation test when testing for differences in mean and variance
    • Neuhäuser, M. and Manly, B.F.J., 2004, The Fisher-Pitman permutation test when testing for differences in mean and variance. Psychological Reports, 94, 189-194.
    • (2004) Psychological Reports , vol.94 , pp. 189-194
    • Neuhäuser, M.1    Manly, B.F.J.2
  • 3
    • 0001269634 scopus 로고
    • Non-normality and tests on variances
    • Box, G.E.P., 1953, Non-normality and tests on variances. Biometrika, 40, 318-335.
    • (1953) Biometrika , vol.40 , pp. 318-335
    • Box, G.E.P.1
  • 5
    • 0003139708 scopus 로고
    • Robust tests for equality of variances
    • I. Olkin, S.G. Ghurye, W. Hoeffding, W.G. Madow and H.B. Mann (Eds, Stanford: Stanford University Press) pp
    • Levene, H., 1960, Robust tests for equality of variances. In: I. Olkin, S.G. Ghurye, W. Hoeffding, W.G. Madow and H.B. Mann (Eds) Contributions to Probability and Statistics (Stanford: Stanford University Press) pp. 278-292.
    • (1960) Contributions to Probability and Statistics , pp. 278-292
    • Levene, H.1
  • 7
    • 0033468499 scopus 로고    scopus 로고
    • Tests for homogeneity of variances using robust weighted likelihood estimates
    • Sarkar, S., Kim, C. and Basu, A., 1999, Tests for homogeneity of variances using robust weighted likelihood estimates. Biometrical Journal, 41, 857-871.
    • (1999) Biometrical Journal , vol.41 , pp. 857-871
    • Sarkar, S.1    Kim, C.2    Basu, A.3
  • 8
    • 34249053971 scopus 로고
    • Tests for homogeneity of variance in factorial designs
    • Games, P.A., Keselman, H.J. and Clinch, J.J., 1979, Tests for homogeneity of variance in factorial designs. Psychological Bulletin, 86, 978-984.
    • (1979) Psychological Bulletin , vol.86 , pp. 978-984
    • Games, P.A.1    Keselman, H.J.2    Clinch, J.J.3
  • 9
    • 0019636384 scopus 로고
    • A comparative study of tests for homogeneity of variances, with applications to the outer continental shelf bidding data
    • Conover, W.J., Johnson, M.E. and Johnson, M.M., 1981, A comparative study of tests for homogeneity of variances, with applications to the outer continental shelf bidding data. Technometrics, 23, 351-361.
    • (1981) Technometrics , vol.23 , pp. 351-361
    • Conover, W.J.1    Johnson, M.E.2    Johnson, M.M.3
  • 10
    • 0001489908 scopus 로고
    • On Levene's test and other statistics of variation
    • Schultz, B., 1983, On Levene's test and other statistics of variation. Evolutionary Theory, 6, 197-203.
    • (1983) Evolutionary Theory , vol.6 , pp. 197-203
    • Schultz, B.1
  • 11
    • 0036077704 scopus 로고    scopus 로고
    • Robustness and power of modified Lepage, Kolmogorov-Smirnov and Cramér-von Mises two-sample tests
    • Büning, H., 2002, Robustness and power of modified Lepage, Kolmogorov-Smirnov and Cramér-von Mises two-sample tests. Journal of Applied Statistics, 29, 907-924.
    • (2002) Journal of Applied Statistics , vol.29 , pp. 907-924
    • Büning, H.1
  • 12
    • 0343090427 scopus 로고    scopus 로고
    • Increased power with modified forms of the Levene (med) test for heterogeneity of variance
    • Hines, W.G.S. and O'Hara Hines, R.J., 2000, Increased power with modified forms of the Levene (med) test for heterogeneity of variance. Biometrics, 56, 451-454.
    • (2000) Biometrics , vol.56 , pp. 451-454
    • Hines, W.G.S.1    O'Hara Hines, R.J.2
  • 13
    • 34248995368 scopus 로고    scopus 로고
    • Milliken, G.A. and Johnson, D.E., 1984, Analysis of Messy Data. I: Designed Experiments (Belmont, CA: Lifetime Learning Publications).
    • Milliken, G.A. and Johnson, D.E., 1984, Analysis of Messy Data. Vol. I: Designed Experiments (Belmont, CA: Lifetime Learning Publications).
  • 15
    • 85004724875 scopus 로고
    • A comparison of the power of the t test, Wilcoxon's test, and the approximate permutation test for the two-sample location problem
    • Van den Brink, W.P. and van den Brink, S.G.J., 1989, A comparison of the power of the t test, Wilcoxon's test, and the approximate permutation test for the two-sample location problem. British Journal of Mathematical and Statistical Psychology, 42, 183-189.
    • (1989) British Journal of Mathematical and Statistical Psychology , vol.42 , pp. 183-189
    • Van den Brink, W.P.1    van den Brink, S.G.J.2
  • 17
    • 0001909425 scopus 로고
    • Significance tests for coefficients of variation and variability profiles
    • Sokal, R.R. and Braumann, C.A., 1980, Significance tests for coefficients of variation and variability profiles. Systematic Zoology, 29, 50-66.
    • (1980) Systematic Zoology , vol.29 , pp. 50-66
    • Sokal, R.R.1    Braumann, C.A.2
  • 19
    • 0034383540 scopus 로고    scopus 로고
    • A weighted least squares approach to Levene's test of homogeneity of variance
    • O'Neill, M.E. and Mathews, K., 2000, A weighted least squares approach to Levene's test of homogeneity of variance. Australian and New Zealand Journal of Statistics, 42, 81-100.
    • (2000) Australian and New Zealand Journal of Statistics , vol.42 , pp. 81-100
    • O'Neill, M.E.1    Mathews, K.2
  • 20
    • 0035672448 scopus 로고    scopus 로고
    • Bootstrap calibration to improve the reliability of tests to compare sample means and variances
    • Francis, R.I.C.C. and Manly, B.F.J., 2001, Bootstrap calibration to improve the reliability of tests to compare sample means and variances. Environmetrics, 12, 713-729.
    • (2001) Environmetrics , vol.12 , pp. 713-729
    • Francis, R.I.C.C.1    Manly, B.F.J.2
  • 23
    • 4644332710 scopus 로고    scopus 로고
    • Wilcoxon test after Levene's transformation can have an inflated type I error rate
    • Neuhäuser, M., 2004, Wilcoxon test after Levene's transformation can have an inflated type I error rate. Psychological Reports, 94, 1419-1420.
    • (2004) Psychological Reports , vol.94 , pp. 1419-1420
    • Neuhäuser, M.1
  • 24
    • 0004173088 scopus 로고    scopus 로고
    • 2nd edn, New York: Springer
    • Good, P.I., 2000, Permutation Tests (2nd edn) (New York: Springer).
    • (2000) Permutation Tests
    • Good, P.I.1
  • 27
    • 0345698925 scopus 로고    scopus 로고
    • A nonparametric test for the general two-sample problem
    • Baumgartner, W., Weiß, P. and Schindler, H., 1998, A nonparametric test for the general two-sample problem. Biometrics, 54, 1129-1135.
    • (1998) Biometrics , vol.54 , pp. 1129-1135
    • Baumgartner, W.1    Weiß, P.2    Schindler, H.3
  • 28
    • 31344472311 scopus 로고    scopus 로고
    • Exact tests based on the Baumgartner- Weiß-Schindler statistic-A survey
    • Neuhäuser, M., 2005, Exact tests based on the Baumgartner- Weiß-Schindler statistic-A survey. Statistical Papers, 46, 1-30.
    • (2005) Statistical Papers , vol.46 , pp. 1-30
    • Neuhäuser, M.1
  • 30
    • 0036546528 scopus 로고    scopus 로고
    • The Fisher-Pitman permutation test: An attractive alternative to the F test
    • Berry, K.J., Mielke, P.W. and Mielke, H.W., 2002, The Fisher-Pitman permutation test: an attractive alternative to the F test. Psychological Reports, 90, 495-502.
    • (2002) Psychological Reports , vol.90 , pp. 495-502
    • Berry, K.J.1    Mielke, P.W.2    Mielke, H.W.3
  • 31
    • 0036705494 scopus 로고    scopus 로고
    • Confidence intervals for comparing two scale parameters based on Levene statistics
    • Pan, G., 2002, Confidence intervals for comparing two scale parameters based on Levene statistics. Journal of Nonpammetric Statistics, 14, 459-476.
    • (2002) Journal of Nonpammetric Statistics , vol.14 , pp. 459-476
    • Pan, G.1
  • 32


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.