• Title/Summary/Keyword: statistical confidence

Search Result 1,002, Processing Time 0.03 seconds

A Nonparametric Method for Nonlinear Regression Parameters

  • Kim, Hae-Kyung
    • Journal of the Korean Statistical Society
    • /
    • v.18 no.1
    • /
    • pp.46-61
    • /
    • 1989
  • This paper is concerned with the development of a nonparametric procedure for the statistical inference about the nonlinear regression parameters. A confidence region and a hypothesis testing procedure based on a class of signed linear rank statistics are proposed and the asymptotic distributions of the test statistic both under the null hypothesis and under a sequence of local alternatives are investigated. Some desirable asymptotic properties including the asymptotic relative efficiency are discussed for various score functions.

  • PDF

Equivalence Testing as an Alternative to Significance Testing

  • Huh, Myung-Hoe
    • Journal of the Korean Statistical Society
    • /
    • v.23 no.1
    • /
    • pp.199-206
    • /
    • 1994
  • Sometimes a researcher with a view of conventional significance testing rejects his/her hypothesis, even through it could have not been rejected with a smaller sample. This can be a logical dilemma for a researcher who wants to "prove" a hypothesis rather than to show discrepancy from a null hypothesis. In this study, a new testing paradigm called equivalence testing via confidence interval will be developed so that it is suitable for the purpose of statistical proof.cal proof.

  • PDF

A Computer Intensive Method for Modern Statistical Data Analysis I ; Bootststrap Method and Its Applications (통계적 데이터 분석방법을 위한 컴퓨터의 활용 I : 붓스트랩 이론과 응용+)

  • 전명식
    • The Korean Journal of Applied Statistics
    • /
    • v.3 no.1
    • /
    • pp.121-141
    • /
    • 1990
  • Computer intensive bootstrap methods are studied as a tool of statistics. Practical calculation and theoretical justification problem of the methods in estimating the sampling distribution and construction confidence region of parameters are discussed through several examples. Statistical meaning of the methods are also considered.

  • PDF

Signed Linear Rank Statistics for Autoregressive Processes

  • Kim, Hae-Kyung;Kim, Il-Kyu
    • Communications for Statistical Applications and Methods
    • /
    • v.2 no.2
    • /
    • pp.198-212
    • /
    • 1995
  • This study provides a nonparametric procedure for the statistical inference of the parameters in stationary autoregressive processes. A confidence region and a hypothesis testing procedure based on a class of signed linear rank statistics are proposed and the asymptotic distributions of the test statistic both underthe null hypothesis and under a sequence of local alternatives are investigated. Some desirable asymptotic properties including the asymptotic relative efficiency are discussed for various score functions.

  • PDF

Internet Poll System

  • Kim, Yon-Hyong;Oh, Min-Gweon
    • Communications for Statistical Applications and Methods
    • /
    • v.7 no.3
    • /
    • pp.927-935
    • /
    • 2000
  • In this paper we propose a poll system n the internet. This system expects to increase the confidence of the internet poll results by sampling theory(proportional allocation). This system provides a cross-tale and result of hypothesis test which plays an important role for decision making. These results do offer a few statistical packages(such as SAS, SPSS) in the world wide web.

  • PDF

Bootstrap confidence interval for survival function in the Koziol-Green model (KOZIOL-GREEN 모형에서 생존함수에 대한 붓스트랩 구간추정)

  • 조길호;정성화;최달우;최현숙
    • The Korean Journal of Applied Statistics
    • /
    • v.11 no.1
    • /
    • pp.151-161
    • /
    • 1998
  • We study the bootstrap interval estimation for survival function in the Koziol-Green model. We construct the approximate bootstrap confidence intervals for survival function and prove the strong consistency for the bootstrap estimator of survival function. Finally we show that the approximate bootstrap confidence intervals are better in terms of coverage probability than confidence intervals based on asymptotic normal distribution and transformations of survival function via Monte Carlo simulation study.

  • PDF

A Study on the Relationship Between Fashion Leadership and Self-Confidence (패션리더쉽과 자신감과의 상관연구)

  • Cho Pill Gyo;KOO Eun Young
    • Journal of the Korean Society of Clothing and Textiles
    • /
    • v.10 no.2
    • /
    • pp.51-57
    • /
    • 1986
  • This study was attempted to investigate the relationship between fashion leadership and self-confidence. Self-confidence was measured with Kim's Personality Scale, and fashion leadership was assessed with Hirschman and Adcock's questionnaire. These questionnaires were administered to 412 unmarried women in Taegu. For statistical analysis, the Pearson's Product-moment correlation coefficients, F-test, and Scheffe test were used. The results were as follows: 1. There was highly significant relationship between fashion opinion leadership and fashion innovativeness. 2. There was significant positive relationship between fashion leadership and self-confide-rice. 3. There was significant difference in self-confidence between innovative communicators and non-innovative communicators.

  • PDF

Approximate confidence intervals about quantiles in the generalized gamma distribution (일반화 감마분포의 백분위수에 대한 근사신뢰구간)

  • 나종화
    • The Korean Journal of Applied Statistics
    • /
    • v.6 no.2
    • /
    • pp.435-442
    • /
    • 1993
  • For the generalized gamma distribution, exact inferences about quantiles need many computations involving complicated numerical integrations. This paper suggests approximate confidence intervals which are easily obtained by considering the alternative location-scale model. Also, these intervals are very accurate even for small sample size. Approximate confidence intervals about quantiles in the lognormal distribution are also considered. With type 2 censoring data, approximate confidence intervals can also be obtained directly by the suggested methods.

  • PDF

An elaboration on sample size determination for correlations based on effect sizes and confidence interval width: a guide for researchers

  • Mohamad Adam Bujang
    • Restorative Dentistry and Endodontics
    • /
    • v.49 no.2
    • /
    • pp.21.1-21.8
    • /
    • 2024
  • Objectives: This paper aims to serve as a useful guide for sample size determination for various correlation analyses that are based on effect sizes and confidence interval width. Materials and Methods: Sample size determinations are calculated for Pearson's correlation, Spearman's rank correlation, and Kendall's Tau-b correlation. Examples of sample size statements and their justification are also included. Results: Using the same effect sizes, there are differences between the sample size determination of the 3 statistical tests. Based on an empirical calculation, a minimum sample size of 149 is usually adequate for performing both parametric and non-parametric correlation analysis to determine at least a moderate to an excellent degree of correlation with acceptable confidence interval width. Conclusions: Determining data assumption(s) is one of the challenges to offering a valid technique to estimate the required sample size for correlation analyses. Sample size tables are provided and these will help researchers to estimate a minimum sample size requirement based on correlation analyses.

The Design and Implementation to Teach Sampling Distributions with the Statistical Inferences (통계적 추론에서의 표집분포 개념 지도를 위한 시뮬레이션 소프트웨어 설계 및 구현)

  • Lee, Young-Ha;Lee, Eun-Ho
    • School Mathematics
    • /
    • v.12 no.3
    • /
    • pp.273-299
    • /
    • 2010
  • The purpose of the study is designing and implementing 'Sampling Distributions Simulation' to help students to understand concepts of sampling distributions. This computer simulation is developed to help students understand sampling distributions more easily. 'Sampling Distributions Simulation' consists of 4 sessions. 'The first session - Confidence level and confidence intervals - includes checking if the intended confidence level is actually achieved by the real relative frequency for the obtained sample confidence intervals containing population mean. This will give the students clearer idea about confidence level and confidence intervals in addition to the role of sampling distribution of the sample means among those. 'The second session - Sampling Distributions - helps understand sampling distribution of the sample means, through the simulation method to make comparison between the histogram of sampling distributions and that of the population. The third session - The Central Limit Theorem - includes calculating the means of the samples taken from a population which follows a uniform distribution or follows a Bernoulli distribution and then making the histograms of those means. This will provides comprehension of the central limit theorem, which mentions about the sampling distribution of the sample means when the sample size is very large. The forth session - the normal approximation to the binomial distribution - helps understand the normal approximation to the binomial distribution as an alternative version of central limit theorem. With the practical usage of the shareware 'Sampling Distributions Simulation', we expect students to have a new vision on the sampling distribution and to get more emphasis on it. With the sound understandings on the sampling distributions, more accurate and profound statistical inferences are expected. And the role of the sampling distribution in the inferences should be more deeply appreciated.

  • PDF