메뉴 건너뛰기




Volumn 39, Issue 11, 2010, Pages 1915-1921

Asymptotic expansion of the non null distribution of the two-sample t-statistic under non normality with application in power comparison

Author keywords

Asymptotic expansion; Characteristic function; Power; Two sample t statistic

Indexed keywords

A-MONOTONE; ASYMPTOTIC EXPANSION; CHARACTERISTIC FUNCTION; CHARACTERISTIC FUNCTIONS; NON-NORMALITY; NULL DISTRIBUTION; POWER COMPARISON; SAMPLE SIZES;

EID: 77952962134     PISSN: 03610926     EISSN: 1532415X     Source Type: Journal    
DOI: 10.1080/03610920902923528     Document Type: Article
Times cited : (4)

References (15)
  • 1
    • 40249117671 scopus 로고    scopus 로고
    • Limiting distributions of the noncentral t-statistic and their applications to the power of t-tests under non-normality
    • Bentkus, V., Jing, B.-Y., Shao, Q.-M., Zhou, W. (2007). Limiting distributions of the noncentral t-statistic and their applications to the power of t-tests under non-normality. Bernoulli 13:346-364.
    • (2007) Bernoulli , vol.13 , pp. 346-364
    • Bentkus, V.1    Jing, B.-Y.2    Shao, Q.-M.3    Zhou, W.4
  • 2
    • 51849177022 scopus 로고
    • Non-normality and heterogeneity in two sample t test
    • Bhattacharjee, G. P. (1968). Non-normality and heterogeneity in two sample t test. Ann. Instit. Statist. Math. 20:239-254.
    • (1968) Ann. Instit. Statist. Math. , vol.20 , pp. 239-254
    • Bhattacharjee, G.P.1
  • 3
    • 0000931301 scopus 로고
    • On the validity of the formal Edgeworth expansion
    • Corrigendum ibid. 8:1399 (1980)
    • Bhattacharya, R. N., Ghosh, J. K. (1978). On the validity of the formal Edgeworth expansion. Ann. Statist. 6:434-451. Corrigendum ibid. 8:1399 (1980).
    • (1978) Ann. Statist. , vol.6 , pp. 434-451
    • Bhattacharya, R.N.1    Ghosh, J.K.2
  • 4
    • 84980129499 scopus 로고
    • How to use the two sample t-test
    • Cressie, N. A. C., Whitford, H. J. (1986). How to use the two sample t-test. Biomet. J. 2:131-148.
    • (1986) Biomet. J. , vol.2 , pp. 131-148
    • Cressie, N.A.C.1    Whitford, H.J.2
  • 5
    • 0006845047 scopus 로고
    • Significance of difference between the means of two non-normal samples
    • Gayen, A. K. (1950). Significance of difference between the means of two non-normal samples. Biometrika 37:399-408.
    • (1950) Biometrika , vol.37 , pp. 399-408
    • Gayen, A.K.1
  • 6
    • 0040778503 scopus 로고
    • Non-normality in two-sample t-tests
    • Gronow, D. G. C. (1953). Non-normality in two-sample t-tests. Biometrika 40:222-225.
    • (1953) Biometrika , vol.40 , pp. 222-225
    • Gronow, D.G.C.1
  • 7
    • 0000658406 scopus 로고
    • Edgeworth expansion for Student's t statistic under minimal moment conditions
    • Hall, P. (1987). Edgeworth expansion for Student's t statistic under minimal moment conditions. Ann. Probab. 15:920-931.
    • (1987) Ann. Probab. , vol.15 , pp. 920-931
    • Hall, P.1
  • 9
    • 21644471134 scopus 로고    scopus 로고
    • Saddlepoint approximation for Student's t-statistic with no moment conditions
    • Jing, B., Shao, Q., Zhou, W. (2004). Saddlepoint approximation for Student's t-statistic with no moment conditions. Ann. Statist. 32:2679-2711.
    • (2004) Ann. Statist. , vol.32 , pp. 2679-2711
    • Jing, B.1    Shao, Q.2    Zhou, W.3
  • 10
    • 84952505308 scopus 로고
    • The two-sample t-test versus Satterthwaite's approximate F test
    • Moser, B. K., Stevens, G. R., Watts, C. L. (1989). The two-sample t-test versus Satterthwaite's approximate F test. Commun. Statist. Theor. Meth. 18:3963-3975.
    • (1989) Commun. Statist. Theor. Meth. , vol.18 , pp. 3963-3975
    • Moser, B.K.1    Stevens, G.R.2    Watts, C.L.3
  • 11
    • 84872636119 scopus 로고
    • An approximate distribution of estimates of variance components
    • Sattherwaite, F. E. (1946). An approximate distribution of estimates of variance components. Biometrics Bull. 2:110-114.
    • (1946) Biometrics Bull. , vol.2 , pp. 110-114
    • Sattherwaite, F.E.1
  • 12
    • 0011593147 scopus 로고
    • Effect of non-normality on the power function of t-test
    • Srivastava, A. B. L. (1958). Effect of non-normality on the power function of t-test. Biometrika 45:421-430.
    • (1958) Biometrika , vol.45 , pp. 421-430
    • Srivastava, A.B.L.1
  • 13
    • 0011089869 scopus 로고    scopus 로고
    • Asymptotic expansion of the joint distribution of sample mean vector and sample covariance matrix from an elliptical population
    • Wakaki, H. (1997). Asymptotic expansion of the joint distribution of sample mean vector and sample covariance matrix from an elliptical population. Hiroshima Mathemat. J. 27:295-305.
    • (1997) Hiroshima Mathemat. J. , vol.27 , pp. 295-305
    • Wakaki, H.1
  • 14
    • 0000576729 scopus 로고
    • The significance of the difference between two means when the population variances are unequal
    • Welch, B. L. (1937). The significance of the difference between two means when the population variances are unequal. Biometrika 29:350-362.
    • (1937) Biometrika , vol.29 , pp. 350-362
    • Welch, B.L.1
  • 15
    • 65549143777 scopus 로고    scopus 로고
    • Improved statistics for contrasting means of two samples under non normality
    • Xu, J., Cui, X., Gupta, A. K. (2009). Improved statistics for contrasting means of two samples under non normality. Bri. J. Mathemat. Statist. Psychol. 62:21-40.
    • (2009) Bri. J. Mathemat. Statist. Psychol. , vol.62 , pp. 21-40
    • Xu, J.1    Cui, X.2    Gupta, A.K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.