메뉴 건너뛰기




Volumn 60, Issue 2, 2007, Pages 267-293

Adaptive robust estimation and testing

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; HUMAN; METHODOLOGY; PSYCHOLOGICAL MODEL; PSYCHOLOGY; STATISTICAL ANALYSIS; STATISTICS;

EID: 36549052551     PISSN: 00071102     EISSN: None     Source Type: Journal    
DOI: 10.1348/000711005X63755     Document Type: Article
Times cited : (41)

References (64)
  • 1
    • 0008989483 scopus 로고
    • Type I error rates for Welch's test and James's secondorder test under nonnormailty and inequality of variance when there are two groups
    • Algina, J., Oshima, T. C., & Lin, W.-Y. (1994). Type I error rates for Welch's test and James's secondorder test under nonnormailty and inequality of variance when there are two groups. Journal of Educational and Behavioral Statistics, 19, 275-291.
    • (1994) Journal of Educational and Behavioral Statistics , vol.19 , pp. 275-291
    • Algina, J.1    Oshima, T.C.2    Lin, W.-Y.3
  • 3
    • 0039134261 scopus 로고    scopus 로고
    • Robust one-way ANOVA under possibly non-regular conditions
    • Babu, J. G., Padmanabhan, A. R., & Puri, M. P. (1999). Robust one-way ANOVA under possibly non-regular conditions. Biometrical Journal, 41, 321-339.
    • (1999) Biometrical Journal , vol.41 , pp. 321-339
    • Babu, J.G.1    Padmanabhan, A.R.2    Puri, M.P.3
  • 4
    • 0001744526 scopus 로고
    • Descriptive statistics for nonparametric models. II. Location
    • Bickel, P. J., & Lehmann, E. L. (1975). Descriptive statistics for nonparametric models. II. Location. Annals of Statistics, 3, 1045-1069.
    • (1975) Annals of Statistics , vol.3 , pp. 1045-1069
    • Bickel, P.J.1    Lehmann, E.L.2
  • 5
    • 85004730291 scopus 로고
    • The Fisher-Pitman permutation test: A non-robust alternative to the normal theory .F-test when variances are heterogeneous
    • Boik, R. J. (1987). The Fisher-Pitman permutation test: A non-robust alternative to the normal theory .F-test when variances are heterogeneous. British Journal of Mathematical and Statistical Psychology, 40, 26-42.
    • (1987) British Journal of Mathematical and Statistical Psychology , vol.40 , pp. 26-42
    • Boik, R.J.1
  • 6
    • 0000235653 scopus 로고
    • Some theorems on quadratic forms applied in the study of analysis of variance problems, I. Effect of inequality of variance in the one way classification
    • Box, G. E. P. (1954). Some theorems on quadratic forms applied in the study of analysis of variance problems, I. Effect of inequality of variance in the one way classification. Annals of Mathematical Statistics, 25, 290-302.
    • (1954) Annals of Mathematical Statistics , vol.25 , pp. 290-302
    • Box, G.E.P.1
  • 8
    • 84952087967 scopus 로고
    • The small sample behavior of some statistics which test the equality of several means
    • Brown, M. B., & Forsythe, A. B. (1974). The small sample behavior of some statistics which test the equality of several means. Technometrics, 16, 129-132.
    • (1974) Technometrics , vol.16 , pp. 129-132
    • Brown, M.B.1    Forsythe, A.B.2
  • 13
    • 84970420568 scopus 로고
    • Consequences of failure to meet assumptions underlying the fixed effects analyses of variance and covariance
    • Glass, G. V., Peckham, R D., & Sanders, J. R. (1972). Consequences of failure to meet assumptions underlying the fixed effects analyses of variance and covariance. Review of Educational Research, 42, 237-288.
    • (1972) Review of Educational Research , vol.42 , pp. 237-288
    • Glass, G.V.1    Peckham, R.D.2    Sanders, J.R.3
  • 14
    • 0007255198 scopus 로고
    • Summarizing Monte Carlo results in methodological research: The one-and two-factor fixed effects ANOVA cases
    • Harwell, M. R., Rubinstein, E. N., Hayes, W. S., & Olds, C. C. (1992). Summarizing Monte Carlo results in methodological research: The one-and two-factor fixed effects ANOVA cases. Journal of Educational Statistics, 17, 315-339.
    • (1992) Journal of Educational Statistics , vol.17 , pp. 315-339
    • Harwell, M.R.1    Rubinstein, E.N.2    Hayes, W.S.3    Olds, C.C.4
  • 17
    • 0020147969 scopus 로고
    • Robustness in real life: A study of clinical laboratory data
    • Hill, M., & Dixon, W. J. (1982). Robustness in real life: A study of clinical laboratory data. Biometrics, 38, 377-396.
    • (1982) Biometrics , vol.38 , pp. 377-396
    • Hill, M.1    Dixon, W.J.2
  • 18
    • 0002449934 scopus 로고
    • Summarizing shape numerically: The g- and b-distributions
    • D. Hoaglin, E Mosteller, & J. Tukey, Eds, New York: Wiley
    • Hoaglin, D. C. (1985). Summarizing shape numerically: The g- and b-distributions. In D. Hoaglin, E Mosteller, & J. Tukey, (Eds.), Exploring data tables, trends, and shapes (pp. 461-513). New York: Wiley.
    • (1985) Exploring data tables, trends, and shapes , pp. 461-513
    • Hoaglin, D.C.1
  • 19
    • 84950662523 scopus 로고
    • Adaptive robust procedures: A partial review and some suggestions for future applications and theory
    • Hogg, R. V. (1974). Adaptive robust procedures: A partial review and some suggestions for future applications and theory. Journal of the American Statistical Association, 69, 909-927.
    • (1974) Journal of the American Statistical Association , vol.69 , pp. 909-927
    • Hogg, R.V.1
  • 22
    • 0038102715 scopus 로고
    • Studentizing robust estimates
    • M. L. Puri Ed, Cambridge: Cambridge University Press
    • Huber, P.J. (1970). Studentizing robust estimates. In M. L. Puri (Ed.), Nonparametric techniques in statistical inference. Cambridge: Cambridge University Press.
    • (1970) Nonparametric techniques in statistical inference
    • Huber, P.J.1
  • 24
    • 1442327553 scopus 로고
    • Discussion of Stigler, Do robust estimators work with real data
    • Huber, P. J. (1977). Discussion of Stigler, Do robust estimators work with real data. Annals of Statistics, 5, 1090-1091.
    • (1977) Annals of Statistics , vol.5 , pp. 1090-1091
    • Huber, P.J.1
  • 25
  • 26
    • 0001103640 scopus 로고
    • The comparison of several groups of observations when the ratios of the population variances are unknown
    • James, G. S. (1951). The comparison of several groups of observations when the ratios of the population variances are unknown. Biometrika, 38, 324-329.
    • (1951) Biometrika , vol.38 , pp. 324-329
    • James, G.S.1
  • 27
    • 0029044364 scopus 로고
    • ERP indicies of auditory selective attention in aging and Parkinson's disease
    • Karayanidis, E, Andrews, S., Ward, R. B., & Michie, P. T. (1995). ERP indicies of auditory selective attention in aging and Parkinson's disease. Psychophysiology, 32, 335-350.
    • (1995) Psychophysiology , vol.32 , pp. 335-350
    • Karayanidis, E.1    Andrews, S.2    Ward, R.B.3    Michie, P.T.4
  • 29
    • 0035998018 scopus 로고    scopus 로고
    • Comparing trimmed and least squares means of two independent skewed populations
    • Keselman, H. J., Wilcox, R. R., Kowalchuk, R. K., & Olejnik, S. (2002). Comparing trimmed and least squares means of two independent skewed populations. Biometrical Journal, 44, 478-489.
    • (2002) Biometrical Journal , vol.44 , pp. 478-489
    • Keselman, H.J.1    Wilcox, R.R.2    Kowalchuk, R.K.3    Olejnik, S.4
  • 30
    • 0037481717 scopus 로고    scopus 로고
    • A generally robust approach to hypothesis testing in independent and correlated groups designs
    • Keselman, H. J., Wilcox, R. R., & Lix, L. M. (2003). A generally robust approach to hypothesis testing in independent and correlated groups designs. Psychophysiology, 40, 586-596.
    • (2003) Psychophysiology , vol.40 , pp. 586-596
    • Keselman, H.J.1    Wilcox, R.R.2    Lix, L.M.3
  • 31
    • 0142078301 scopus 로고    scopus 로고
    • Trimming, transforming statistics, and bootstrapping: Circumventing the biasing effects of heteroscedasticity and nonnormality
    • Keselman, H. J., Wilcox, R. R., Othman, A. R., & Fradette, K. (2002). Trimming, transforming statistics, and bootstrapping: Circumventing the biasing effects of heteroscedasticity and nonnormality. Journal of Modern Applied Statistical Methods, 1, 288-309.
    • (2002) Journal of Modern Applied Statistical Methods , vol.1 , pp. 288-309
    • Keselman, H.J.1    Wilcox, R.R.2    Othman, A.R.3    Fradette, K.4
  • 32
    • 0032362282 scopus 로고    scopus 로고
    • To trim or not to trim: Tests of location equality under heteroscedasticity and non-normality
    • 58, 853
    • Lix, L. M., & Keselman, H. J. (1998). To trim or not to trim: Tests of location equality under heteroscedasticity and non-normality. Educational and Psychological Measurement, 58, 409-429, (58, 853).
    • (1998) Educational and Psychological Measurement , vol.58 , pp. 409-429
    • Lix, L.M.1    Keselman, H.J.2
  • 33
    • 0040517457 scopus 로고    scopus 로고
    • Consequences of assumption violations revisited: A quantitative review of alternatives to the one-way analysis of variance F-test
    • Lix, L. M., Keselman, J. C., & Keselman, H. J. (1996). Consequences of assumption violations revisited: A quantitative review of alternatives to the one-way analysis of variance F-test. Review of Educational Research, 66, 79-619.
    • (1996) Review of Educational Research , vol.66 , pp. 79-619
    • Lix, L.M.1    Keselman, J.C.2    Keselman, H.J.3
  • 36
    • 58149368765 scopus 로고
    • The unicorn, the normal curve, and other improbable creatures
    • Micceri, T. (1989). The unicorn, the normal curve, and other improbable creatures. Psychological Bulletin, 105, 156-166.
    • (1989) Psychological Bulletin , vol.105 , pp. 156-166
    • Micceri, T.1
  • 40
    • 0032435703 scopus 로고    scopus 로고
    • Contributions to adaptive estimation
    • Reed, J. E, III (1998). Contributions to adaptive estimation. Journal of Applied Statistics, 25, 651-669.
    • (1998) Journal of Applied Statistics , vol.25 , pp. 651-669
    • Reed III, J.E.1
  • 42
    • 0020128739 scopus 로고
    • Are robust estimators really necessary?
    • Rocke, D. M., Downs, G. W, & Rocke, A. J. (1982). Are robust estimators really necessary? Technometrics, 24, 95-101.
    • (1982) Technometrics , vol.24 , pp. 95-101
    • Rocke, D.M.1    Downs, G.W.2    Rocke, A.J.3
  • 43
    • 0000684192 scopus 로고
    • Is the ANOVA F-test robust to variance heterogeneity when sample sizes are equal? An investigation via a coefficient of variation
    • Rogan, J. C., & Keselman, H. J. (1977). Is the ANOVA F-test robust to variance heterogeneity when sample sizes are equal? An investigation via a coefficient of variation. American Educational Research Journal, 14, 493-498.
    • (1977) American Educational Research Journal , vol.14 , pp. 493-498
    • Rogan, J.C.1    Keselman, H.J.2
  • 44
    • 0000130020 scopus 로고
    • Comparing location estimators: Trimmed means, medians and trimean
    • D. Hoaglin, F. Mosteller, & J. Tukey Eds, New York: Wiley
    • Rosenberger, J. L., & Gasko, M. (1983). Comparing location estimators: Trimmed means, medians and trimean. In D. Hoaglin, F. Mosteller, & J. Tukey (Eds.), Understanding robust and exploratory data analysis (pp. 297-336). New York: Wiley.
    • (1983) Understanding robust and exploratory data analysis , pp. 297-336
    • Rosenberger, J.L.1    Gasko, M.2
  • 45
    • 0040820113 scopus 로고
    • The use of weighted contrasts in analysis of models with heterogeneity of variance
    • American Statistical Association
    • Rubin, A. S. (1983). The use of weighted contrasts in analysis of models with heterogeneity of variance. Proceedings of the Business and Economic Statistics Section, American Statistical Association, 347-352
    • (1983) Proceedings of the Business and Economic Statistics Section , pp. 347-352
    • Rubin, A.S.1
  • 47
    • 8844224984 scopus 로고    scopus 로고
    • A measure of relative efficiency for location of a single sample
    • Sawilowsky, S. S. (2002). A measure of relative efficiency for location of a single sample. Journal of Modern Applied Statistical Methods, 1, 52-60.
    • (2002) Journal of Modern Applied Statistical Methods , vol.1 , pp. 52-60
    • Sawilowsky, S.S.1
  • 48
    • 11944273917 scopus 로고
    • A more realistic look at the robustness and Type II error probabilities of the t test to departures from population normality
    • Sawilowsky, S. S., & Blair, R. C. (1992). A more realistic look at the robustness and Type II error probabilities of the t test to departures from population normality. Psychological Bulletin, 111, 352-360.
    • (1992) Psychological Bulletin , vol.111 , pp. 352-360
    • Sawilowsky, S.S.1    Blair, R.C.2
  • 51
    • 0001390053 scopus 로고
    • Do robust estimators work with real data?
    • Stigler, S. M. (1977). Do robust estimators work with real data? Annals of Statistics, 5, 1055-1098.
    • (1977) Annals of Statistics , vol.5 , pp. 1055-1098
    • Stigler, S.M.1
  • 52
    • 0008434379 scopus 로고
    • Robustness of MML estimators based on censored samples and robust test statistics
    • Tiku, M. L. (1980). Robustness of MML estimators based on censored samples and robust test statistics. Journal of Statistical Planning and Inference, 4, 123-143.
    • (1980) Journal of Statistical Planning and Inference , vol.4 , pp. 123-143
    • Tiku, M.L.1
  • 53
    • 0011523940 scopus 로고
    • Robust statistics for testing equality of means and variances
    • Tiku, M. L. (1982). Robust statistics for testing equality of means and variances. Communications in Statistics: Theory and Methods, 11, 2543-2558.
    • (1982) Communications in Statistics: Theory and Methods , vol.11 , pp. 2543-2558
    • Tiku, M.L.1
  • 54
    • 0002567966 scopus 로고
    • Comparison of ANOVA alternatives under variance heterogeneity and specific noncentrality structures
    • Tomarken, A. J., & Serlin, R. C. (1986). Comparison of ANOVA alternatives under variance heterogeneity and specific noncentrality structures. Psychological Bulletin, 99, 90-99.
    • (1986) Psychological Bulletin , vol.99 , pp. 90-99
    • Tomarken, A.J.1    Serlin, R.C.2
  • 55
    • 0001665793 scopus 로고
    • Less vulnerable confidence and significance procedures for location based on a single sample: Trimming/Winsorization 1
    • Tukey, J. W., & McLaughlin, D. H. (1963). Less vulnerable confidence and significance procedures for location based on a single sample: Trimming/Winsorization 1. Sankhyã, Series A, 25, 331-352.
    • (1963) Sankhyã, Series A , vol.25 , pp. 331-352
    • Tukey, J.W.1    McLaughlin, D.H.2
  • 56
    • 0000576729 scopus 로고
    • The significance of the difference between two means when the population variances are unequal
    • Welch, B. L. (1938). The significance of the difference between two means when the population variances are unequal. Biometrika, 29, 350-362.
    • (1938) Biometrika , vol.29 , pp. 350-362
    • Welch, B.L.1
  • 57
    • 0000124902 scopus 로고
    • On the comparison of several mean values: An alternative approach
    • Welch, B. L. (1951). On the comparison of several mean values: An alternative approach. Biometrika, 38, 330-336.
    • (1951) Biometrika , vol.38 , pp. 330-336
    • Welch, B.L.1
  • 58
    • 85004830022 scopus 로고
    • A new alternative to the ANOVA Fand new results on James's second-order method
    • Wilcox, R. R. (1988). A new alternative to the ANOVA Fand new results on James's second-order method. British Journal of Mathematical and Statistical Psychology, 41, 109-117.
    • (1988) British Journal of Mathematical and Statistical Psychology , vol.41 , pp. 109-117
    • Wilcox, R.R.1
  • 59
    • 21844485845 scopus 로고
    • A one-way random effects model for trimmed means
    • Wilcox, R. R. (1994). A one-way random effects model for trimmed means. Psychometrika, 59, 289-306.
    • (1994) Psychometrika , vol.59 , pp. 289-306
    • Wilcox, R.R.1
  • 60
    • 84970325825 scopus 로고
    • ANOVA: A paradigm for low power and misleading measures of effect size?
    • Wilcox, R. R. (1995). ANOVA: A paradigm for low power and misleading measures of effect size? Review of Educational Research, 65, 51-77.
    • (1995) Review of Educational Research , vol.65 , pp. 51-77
    • Wilcox, R.R.1
  • 63
    • 0142087861 scopus 로고    scopus 로고
    • Modern robust data analysis methods: Measures of central tendency
    • Wilcox, R. R., & Keselman, H. J. (2003). Modern robust data analysis methods: Measures of central tendency. Psychological Methods, 8, 254-274.
    • (2003) Psychological Methods , vol.8 , pp. 254-274
    • Wilcox, R.R.1    Keselman, H.J.2
  • 64
    • 0015968862 scopus 로고
    • The two-sample trimmed t for unequal population variances
    • Yuen, K. K. (1974). The two-sample trimmed t for unequal population variances. Biometrika, 61, 165-170.
    • (1974) Biometrika , vol.61 , pp. 165-170
    • Yuen, K.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.