• Title/Summary/Keyword: most powerful test

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Fuzzy Test of Hypothesis by Uniformly Most Powerful Test (균일최강력검정에 의한 가설의 퍼지 검정)

  • Kang, Man-Ki
    • Journal of the Korean Institute of Intelligent Systems
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    • v.21 no.1
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    • pp.25-28
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    • 2011
  • In this paper, we study some properties of condition for fuzzy data, agrement index by ratio of area and the uniformly most powerful fuzzy test of hypothesis. Also, we suggest a confidence bound for uniformly most powerful fuzzy test. For illustration, we take the most powerful critical fuzzy region from exponential distribution by likelihood ratio and test the hypothesis of ${\chi}^2$-distribution by agreement index.

The effects of personal and environmental factors on adolescent' self-esteem (개인적 요인 및 환경적 요인이 청소년의 자아존중감에 미치는 영향)

  • 김희화
    • Journal of the Korean Home Economics Association
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    • v.36 no.2
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    • pp.47-60
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    • 1998
  • The effects of personal(gender, physical growth) and environmental(communication with parent, intimacy of friendship, school performance, and satisfaction of school-life) factors on adolescent's self-esteem were examined in a samlpe of 525 first and second grades in middle school. The subdomains of the self-esteem were peer-related self, home self, teacher-related self, academic self, physical appearance self, physical competence self, personality self, and general self. T-test, Pearson's correlation, and regression were used as statistical analysis. Results were as follows. First, there was evidence of a gender difference in the level of the subsdomains of self-esteem: teacher-related, physical-appearance, physical-competence, and personality. Second, the factor which was the most powerful predictor of each subdomain of the self-esteem was as follows 1) the most powerful predictor of the peer-related self was the intimacy of friendship, 2) the most powerful predictor of the home self was the communication with parent, 3) the most powerful predictor of the teacher-related self was the satisfaction of school-life, 4) the most powerful predictor of the academic self was the school performance, 5)the most powerful predictor of the physical-appearance self, the physical competence self, and the personality self was the satisfaction of school-life, 6) the most powerful predictor of the general self was the school performance.

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More Powerful Test for Normality Based on the Normalized Sample Lorenz Curve (NORMALIZED SAMPLE LORENZ CURVE를 이용한 검정력이 높은 정규성 검정)

  • 강석복;조영석
    • The Korean Journal of Applied Statistics
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    • v.15 no.2
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    • pp.415-421
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    • 2002
  • Because most common assumption is normality in statistical analysis, testing normality is very important. We propose a new plot and test statistic to test for normality based on the modified Lorenz curve that is proved to be a powerful tool to measure the income inequality within a population of income receivers. We also compare the proposed test statistics with the W test (Shapiro and Wilk (1965)), TL test (Kang and Cho (1999)) in terms of the power of test through by Monte Carlo method. The proposed test is more usually powerful than the other tests except some case.

Fuzzy Hypothesis Test by Poisson Test for Most Powerful Test (최강력 검정을 위한 퍼지 포아송 가설의 검정)

  • Kang, Man-Ki;Seo, Hyun-A
    • Journal of the Korean Institute of Intelligent Systems
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    • v.19 no.6
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    • pp.809-813
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    • 2009
  • We want to show that the construct of best fuzzy tests for certain fuzzy situations of Poisson distribution. Due to Neyman and Pearson theorem, if we have ${\theta}_0$ and ${\theta}_1$ be distinct fuzzy values of ${\Omega}=\{{\theta}\;:\;{\theta}\;=\;{\theta}_0,\;{\theta}_1\}$ such that $L({\theta}_0\;:\;X)/L({\theta}_1\;:\;X)$ < k, then k is a fuzzy number. For each fuzzy random samples point $X\;{\subset}\;C$, we have most power test for fuzzy critical region C by agreement index.

Comparison of Powers in Goodness of Fit Test of Quadratic Measurement Error Model

  • Moon, Myung-Sang
    • Communications for Statistical Applications and Methods
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    • v.9 no.1
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    • pp.229-240
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    • 2002
  • Whether to use linear or quadratic model in the analysis of regression data is one of the important problems in classical regression model and measurement error model (MEM). In MEM, four goodness of fit test statistics are available In solving that problem. Two are from the derivation of estimators of quadratic MEM, and one is from that of the general $k^{th}$-order polynomial MEM. The fourth one is derived as a variation of goodness of fit test statistic used in linear MEM. The purpose of this paper is to find the most powerful test statistic among them through the small-scale simulation.

A Nonparametric Test for Clinical Trial with Low Infection Rate

  • Mark C. K. Yang;Donguk Kim
    • Communications for Statistical Applications and Methods
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    • v.5 no.3
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    • pp.707-722
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    • 1998
  • This paper evaluates a new clinical trial designs for low infection rate disease. This type of sparse disease reaction makes the traditional two sample t-test or Wilcoxon rank-sum test inefficient compared to a new test suggested. The new test, which is based solely on the larger changes, is shown to be more effective than existing method by simulation for small samples. However, this test can be shown to be connected to the locally most powerful rank test under certain practical conditions. This design is motivated in testing the treatment effects in periodontal disease research.

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Comparing the empirical powers of several independence tests in generalized FGM family

  • Zargar, M.;Jabbari, H.;Amini, M.
    • Communications for Statistical Applications and Methods
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    • v.23 no.3
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    • pp.215-230
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    • 2016
  • The powers of some tests for independence hypothesis against positive (negative) quadrant dependence in generalized Farlie-Gumbel-Morgenstern distribution are compared graphically by simulation. Some of these tests are usual linear rank tests of independence. Two other possible rank tests of independence are locally most powerful rank test and a powerful nonparametric test based on the $Cram{\acute{e}}r-von$ Mises statistic. We also evaluate the empirical power of the class of distribution-free tests proposed by Kochar and Gupta (1987) based on the asymptotic distribution of a U-statistic and the test statistic proposed by $G{\ddot{u}}ven$ and Kotz (2008) in generalized Farlie-Gumbel-Morgenstern distribution. Tests of independence are also compared for sample sizes n = 20, 30, 50, empirically. Finally, we apply two examples to illustrate the results.

Goodness-of-Fit-Test from Censored Samples

  • Cho, Young-Suk
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.1
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    • pp.41-52
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    • 2006
  • Because most common assumption is normality in statistical analysis, testing normality is very important. The Q-Q plot is a powerful tool to test normality with full samples in statistical package. But the plot can't test normality in type-II censored samples. This paper proposed the modified the Q-Q plot and the modified normalized sample Lorenz curve(NSLC) for normality test in the type-II censored samples. Using the two Hodgkin's disease data sets and the type-II censored samples, we picture the modified Q-Q plot and the modified normalized sample Lorenz curve.

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UMP Unbiased Test for the Infection Rate in Group Testing

  • Kwon, Se-hyug
    • Communications for Statistical Applications and Methods
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    • v.6 no.1
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    • pp.293-303
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    • 1999
  • When test outcomes of units are dichotomous and he infection rate is small group testing is more efficient that noe-to-one testing in estimating the true p and classifying units as infected or not. In this paper two-sided hypothesis testing and confidence intervals are derived based on the UMP(uniformly most powerful) unbiased test. The UMP unbiased approach is compared with Thompson's and Bhattacharyya et al.'s approaches by computing the length of confidence intervals and capture probabilities and shown to have a number of desirable properties. Unequal allocation one of advantages of the proposed approach is also mentioned.

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Factors Influencing Health Promoting Lifestyle in High School Students (일 지역 고등학생의 건강증진생활양식 수행의 예측요인에 관한 연구)

  • Kim, Hee-Sun
    • Journal of Korean Public Health Nursing
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    • v.20 no.2
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    • pp.151-162
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    • 2006
  • Purpose: The purpose of this study was to investigate the factors influencing health promoting lifestyle in high school students. Method: The study subjects were 477 high school students. The data were analyzed by descriptive statistics, t-test, ANOVA, Scheffe test, Pearson correlation and Stepwise Multiple Regression with SPSS statistical program. Results: The average item score for health promoting lifestyle was 2.44. The highest subscale score was self actualization (2.85), while the lowest subscale scores were interpersonal relationship (2.82), nutrition (2.57), exercise (2.56) and health responsibility (1.77). There was a significant difference between gender, sleeping hours, perceived health state, economic state, school performance, father's education, mother's education, living together and health promoting lifestyle. The most powerful predictor of health promoting lifestyle was self-efficacy (29.9%). The combination of self-efficacy, family function, activity-related effect, commitment to a plan of action, situational influences and social support accounted for 55% of the variance in the health promoting lifestyle. Conclusion: Self-efficacy was the most powerful variance of health promoting lifestyle. Therefore, health promoting programs that increase self-efficacy should be developed to promote a healthier lifestyle among high school students.

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