NEW WEIGHTED SUM OF X(2) TEST FOR TESTING A LINEAR-HYPOTHESIS AGAINST A RESTRICTED ALTERNATIVE HYPOTHESIS

被引：0

作者：

TSUBAKI, M

机构：

[1] Department of Communication and Systems, The University of Electro-Communications, 1-5-1 Chofugaoka, Chofu-shi

来源：

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION | 1995年 / 24卷 / 04期

关键词：

ABELSON-TUKEY SCORE; BAYES REST; ORDERED ALTERNATIVE; DESIGN OF PRIOR DISTRIBUTION;

D O I：

10.1080/03610919508813289

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

For a statistical test problem against a restricted alternative hypothesis, the author proposes a new weighted sum of the chi(2) test using eigenvectors and eigenvalues of the variance and covariance matrix xi G of mean vector gamma of multivariate random variable Y for the variance and covariance matrix Omega of Y. It is proved that the proposed test is the Bayes test. Powers of the proposed test are compared with those of other tests.

引用

页码：987 / 1004

页数：18

共 50 条

[41] Testing for a unit root under the alternative hypothesis of ARIMA (0,2,1)
Halkos, George E.
Kevork, Ilias S.
[J]. APPLIED ECONOMICS, 2007, 39 (21) : 2753 - 2767
[42] THE ESTIMATION OF AVERAGE MOLECULAR DIMENSIONS .2. HYPOTHESIS-TESTING WITH WEIGHTED AND UNWEIGHTED MEANS
TAYLOR, R
KENNARD, O
[J]. ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES, 1985, 41 (JAN): : 85 - 89
[43] RELATION OF PARENTAL TRANSITIONS TO BOYS ADJUSTMENT PROBLEMS .1. A LINEAR-HYPOTHESIS .2. MOTHERS AT RISK FOR TRANSITIONS AND UNSKILLED PARENTING
CAPALDI, DM
PATTERSON, GR
[J]. DEVELOPMENTAL PSYCHOLOGY, 1991, 27 (03) : 489 - 504
[44] Optimally Distinguishable Distributions: a New Approach to Composite Hypothesis Testing With Applications to the Classical Linear Model
Razavi, Seyed Alireza
Giurcaneanu, Ciprian Doru
[J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2009, 57 (07) : 2445 - 2455
[45] 5 STUDIES TESTING 2 NEW EGOISTIC ALTERNATIVES TO THE EMPATHY ALTRUISM HYPOTHESIS
BATSON, CD
DYCK, JL
BRANDT, JR
BATSON, JG
POWELL, AL
MCMASTER, MR
GRIFFITT, C
[J]. JOURNAL OF PERSONALITY AND SOCIAL PSYCHOLOGY, 1988, 55 (01) : 52 - 77
[46] HYPOTHESIS TESTING IN HIGH-DIMENSIONAL LINEAR REGRESSION: A NORMAL-REFERENCE SCALE-INVARIANT TEST
Zhu, Tianming
Zhang, Liang
Zhang, Jin-Ting
[J]. STATISTICA SINICA, 2022, 32 : 1857 - 1879
[47] RESPONSE OF 2 PEA HYBRIDS TO CO2 ENRICHMENT - A TEST OF THE ENERGY OVERFLOW HYPOTHESIS FOR ALTERNATIVE RESPIRATION
MUSGRAVE, ME
STRAIN, BR
SIEDOW, JN
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1986, 83 (21) : 8157 - 8161
[48] HYPOTHESIS-TESTING FOR MARGINAL PROBABILITIES IN A 2X2X2 CONTINGENCY TABLE WITH CONDITIONAL-INDEPENDENCE
COHEN, A
GATSONIS, C
MARDEN, JI
[J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1983, 78 (384) : 920 - 929
[49] From falsification to generating an alternative hypothesis: Exploring the role of the new-perspective hypothesis in successful 2-4-6 task performance
Lien, Yunn-Wen
Lin, Wei-Lun
[J]. THINKING & REASONING, 2011, 17 (02) : 105 - 136
[50] New statistics to test log-linear modeling hypothesis with no distributional specifications and clusters with homogeneous correlation
Alonso-Revenga, J. M.
Martin, N.
Pardo, L.
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 374 (374)

← 1 2 3 4 5 →