• Title/Summary/Keyword: sample statistics

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A study on sampling using the function of excel (엑셀 매크로 기능을 이용한 표본추출에 관한 연구)

  • Choi, Hyun-Seok;Kim, Tae-Yoon
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.3
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    • pp.481-491
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    • 2010
  • In this paper, we made a program to compare between population parameters and sample statistics, via Excel macro. This program gathers each students’ files to one file, from which a sample is drawn. This program will help students to be interested in class through extracting a part of sample from a group and comparing the difference between parameters and statistics in a few seconds. In Excel, overlapping value could happen when random numbers are generated but we avoid this case by making the sub-program, without replacement with VBA.

Quantile Estimation in Successive Sampling

  • Singh, Housila P.;Tailor, Ritesh;Singh, Sarjinder;Kim, Jong-Min
    • Proceedings of the Korean Association for Survey Research Conference
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    • 2006.12a
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    • pp.67-83
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    • 2006
  • In successive sampling on two occasions the problem of estimating a finite population quantile has been considered. The theory developed aims at providing the optimum estimates by combining (i) three double sampling estimators viz. ratio-type, product-type and regression-type, from the matched portion of the sample and (ii) a simple quantile based on a random sample from the unmatched portion of the sample on the second occasion. The approximate variance formulae of the suggested estimators have been obtained. Optimal matching fraction is discussed. A simulation study is carried out in order to compare the three estimators and direct estimator. It is found that the performance of the regression-type estimator is the best among all the estimators discussed here.

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QUANTILE ESTIMATION IN SUCCESSIVE SAMPLING

  • Singh, Housila P.;Tailor, Ritesh;Singh, Sarjinder;Kim, Jong-Min
    • Journal of the Korean Statistical Society
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    • v.36 no.4
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    • pp.543-556
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    • 2007
  • In successive sampling on two occasions the problem of estimating a finite population quantile has been considered. The theory developed aims at providing the optimum estimates by combining (i) three double sampling estimators viz. ratio-type, product-type and regression-type, from the matched portion of the sample and (ii) a simple quantile based on a random sample from the unmatched portion of the sample on the second occasion. The approximate variance formulae of the suggested estimators have been obtained. Optimal matching fraction is discussed. A simulation study is carried out in order to compare the three estimators and direct estimator. It is found that the performance of the regression-type estimator is the best among all the estimators discussed here.

Goodness-of-fit test for the half logistic distribution based on multiply Type-II censored samples

  • Kang, Suk-Bok;Cho, Young-Seuk;Han, Jun-Tae;SaKong, Jin
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.2
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    • pp.317-325
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    • 2010
  • In this paper, we develop four modified empirical distribution function (EDF) type tests using approximate maximum likelihood estimators for the half-logistic distribution based on multiply Type-II censored samples. We also propose modified normalize sample Lorenz curve polt and new test statistics. We compare the above test statistics in the sense of the power for various censored samples. We present an example to illustrate this method.

A Sanov-Type Proof of the Joint Sufficiency of the Sample Mean and the Sample Variance

  • Kim, Chul-Eung;Park, Byoung-Seon
    • Journal of the Korean Statistical Society
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    • v.24 no.2
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    • pp.563-568
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    • 1995
  • It is well-known that the sample mean and the sample variance are jointly sufficient under normality assumption. In this paper a proof of the joint sufficiency is given without using the factorization criterion. It is related to a finite Sanov-type conditional theorem, i.e., the conditional probability density of $Y_1$ given sample mean $\mu$ and sample variance $\sigma^2$, where $Y_1, Y_2, \cdots, Y_n$ are independently and identically distributed (i.i.d.) normal random variables with mean m and variance $\delta^2$, equals that of $Y_1$ given sample mean $\mu$ and sample variance $\sigma^2$, where $Y_1, Y_2, \cdots, Y_n$ are i.i.d. normal random variables with mean $\mu$ and variance $\sigma^2$.

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Usage of Statistics in Clinical Trials (임상시험에서의 통계 활용)

  • Ahn, Hong-Yup
    • Journal of Hospice and Palliative Care
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    • v.13 no.1
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    • pp.1-6
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    • 2010
  • The purpose of clinical trials is to find evidences for the effects of experimental new drugs or treatments on human. For the successful clinical trials, it is not sufficient to use statistics only for the analyses of collected data, but it is necessary to extend the usage of statistics in various ways. At the beginning of the study, one needs to use statistics for systematically and concretly planning the study. For this, we discussed the usage of statistics in defining the effect, determining the sample size, statistical analyses, and so on.

Ranked-Set Sample Wilcoxon Signed Rank Test For Quantiles Under Equal Allocation

  • Kim, Dong Hee;Kim, Hyun Gee
    • Communications for Statistical Applications and Methods
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    • v.10 no.2
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    • pp.535-543
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    • 2003
  • A ranked set sample version of the sign test is proposed for testing hypotheses concerning the quantiles of a population characteristic by Kaur, et. al(2002). In this paper, we proposed the ranked set sample Wilcoxon signed rank test for quantiles under equal allocation. We obtain the asymptotic property and the asymptotic relative efficiencies of the proposed test statistic with respect to Wilcoxon signed rank test of simple random sample for quantiles under equal allocation. We calculate the ARE of test statistics, the proposed test statistic is more efficient than simple random sampling for all quantiles. The relative advantage of ranked set sampling is greatest at the median and tapers off in the tails.

JOINT ASYMPTOTIC DISTRIBUTIONS OF SAMPLE AUTOCORRELATIONS FOR TIME SERIES OF MARTINGALE DIFFERENCES

  • Hwang, S.Y.;Baek, J.S.;Lim, K.E.
    • Journal of the Korean Statistical Society
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    • v.35 no.4
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    • pp.453-458
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    • 2006
  • It is well known fact for the iid data that the limiting standard errors of sample autocorrelations are all unity for all time lags and they are asymptotically independent for different lags (Brockwell and Davis, 1991). It is also usual practice in time series modeling that this fact continues to be valid for white noise series which is a sequence of uncorrelated random variables. This paper contradicts this usual practice for white noise. We consider a sequence of martingale differences which belongs to white noise time series and derive exact joint asymptotic distributions of sample autocorrelations. Some implications of the result are illustrated for conditionally heteroscedastic time series.

Bayesian Approach to the Prediction in the Censored Sample from Rayleigh Population

  • Ko, Jeong-Hwan;Kim, Young-Hoon;Kang, Sang-Gil
    • Journal of the Korean Data and Information Science Society
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    • v.8 no.1
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    • pp.71-77
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    • 1997
  • S independent sample 0,1,2, $\cdots$, s-1 (or stages 0,1,2, $\cdots$, s-1) are available from the Raleigh population. Procedure for predicting any order statistic in the $(s+1)^{th}$ sample is developed by obtaining the predictive distribution at stage s. Bounds for the sample size at stage S, in order to have the variance at stage S less than that at stage (s-1), are obtained.

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Two Bayesian methods for sample size determination in clinical trials

  • Kwak, Sang-Gyu;Kim, Dal-Ho;Shin, Im-Hee;Kim, Ho-Gak;Kim, Sang-Gyung
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.6
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    • pp.1343-1351
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    • 2010
  • Sample size determination is very important part in clinical trials because it influences the time and the cost of the experimental studies. In this article, we consider the Bayesian methods for sample size determination based on hypothesis testing. Specifically we compare the usual Bayesian method using Bayes factor with the decision theoretic method using Bayesian reference criterion in mean difference problem for the normal case with known variances. We illustrate two procedures numerically as well as graphically.