• Title/Summary/Keyword: chi-square statistic

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The exponential generalized log-logistic model: Bagdonavičius-Nikulin test for validation and non-Bayesian estimation methods

  • Ibrahim, Mohamed;Aidi, Khaoula;Alid, Mir Masoom;Yousof, Haitham M.
    • Communications for Statistical Applications and Methods
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    • v.29 no.1
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    • pp.1-25
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    • 2022
  • A modified Bagdonavičius-Nikulin chi-square goodness-of-fit is defined and studied. The lymphoma data is analyzed using the modified goodness-of-fit test statistic. Different non-Bayesian estimation methods under complete samples schemes are considered, discussed and compared such as the maximum likelihood least square estimation method, the Cramer-von Mises estimation method, the weighted least square estimation method, the left tail-Anderson Darling estimation method and the right tail Anderson Darling estimation method. Numerical simulation studies are performed for comparing these estimation methods. The potentiality of the new model is illustrated using three real data sets and compared with many other well-known generalizations.

Classical and Bayesian methods of estimation for power Lindley distribution with application to waiting time data

  • Sharma, Vikas Kumar;Singh, Sanjay Kumar;Singh, Umesh
    • Communications for Statistical Applications and Methods
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    • v.24 no.3
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    • pp.193-209
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    • 2017
  • The power Lindley distribution with some of its properties is considered in this article. Maximum likelihood, least squares, maximum product spacings, and Bayes estimators are proposed to estimate all the unknown parameters of the power Lindley distribution. Lindley's approximation and Markov chain Monte Carlo techniques are utilized for Bayesian calculations since posterior distribution cannot be reduced to standard distribution. The performances of the proposed estimators are compared based on simulated samples. The waiting times of research articles to be accepted in statistical journals are fitted to the power Lindley distribution with other competing distributions. Chi-square statistic, Kolmogorov-Smirnov statistic, Akaike information criterion and Bayesian information criterion are used to access goodness-of-fit. It was found that the power Lindley distribution gives a better fit for the data than other distributions.

CHAID Algorithm by Cube-based Proportional Sampling

  • Park, Hee-Chang;Cho, Kwang-Hyun
    • 한국데이터정보과학회:학술대회논문집
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    • 2004.04a
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    • pp.39-50
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    • 2004
  • The decision tree approach is most useful in classification problems and to divide the search space into rectangular regions. Decision tree algorithms are used extensively for data mining in many domains such as retail target marketing, fraud dection, data reduction and variable screening, category merging, etc. CHAID(Chi-square Automatic Interaction Detector) uses the chi-squired statistic to determine splitting and is an exploratory method used to study the relationship between a dependent variable and a series of predictor variables. In this paper we propose CHAID algorithm by cube-based proportional sampling and explore CHAID algorithm in view of accuracy and speed by the number of variables.

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Awareness Of Predisposing Factor To Smoking Among Adult In Sokoto

  • John, Ikpeama Osita;Mariam, Onuzulike Nonye;Adimabua, Okafor Patrick;Anthonia, Ikpeama Chizoba;Joy, Ikpeama Chinwe;Osazuwa, Igbineweka Osa;Andrew, Ikpeama Emeka;Jacob, Ofuenyi;Paulastella, Nwosu Nchedochukwu;Nnanna, Ibeh Isaiah;Mokwe, Gerald Chukwudi;Uchechi, Ogwuegbu Juliet;Otugeme, Franklin;Muazu, Mary
    • The Korean Journal of Food & Health Convergence
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    • v.5 no.1
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    • pp.1-11
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    • 2019
  • Smoking has become one of the public health harzard affecting the world. In the UK, smoking is responsible for around one in five deaths. The illnesses caused by smoking extend beyond the well-reported links with cancer, heart disease and respiratory illnesses. Hence the research to determine the awareness of the predisposing factor to smoking among adults in sokoto metropolis. A cross-sectional form of descriptive survey research design was used for this study. This is because descriptive studies are used when the characteristics of a population are either unknown or partially known (Hennekens & Buring, 2007), and it was used by Ganley and Rosario (2013) in a related research this justified the use of similar design in a study of similar nature.Two hundred and seventy returned questionnaire was collected, analyzed using descriptive statistic of frequency count, normative percentage and grand mean; as well as inferential statistics of chi-square (${\chi}^2$). The level of significant was fixed at 0.05. Appropriate degrees of freedom were worked out. There was statistical significant influence or relationship with marital status on the predisposing factors of smoking chi-square of 19716.516 greater than the critical value 43.77297at df 30 p<0.05. There were statistical significance chi-square =27468.348 which is greater than the critical value 43.77297 at df= 30. These show that there is a relationship on gender awareness of predisposing factors to smoking rejecting the null hypotheses. The respondents across different lever/year higher institution shows that the awareness of predisposing factors of smoking there were a statistical significance difference chi-square =7168.429 (df=88) greater than critical value 102.342 rejecting the null hypotheses. There is consistent evidence that links exposure to depictions of smoking in movies and initiation of smoking in young people. Over the years television shows and films have effectively built up associations between smoking and glamour, sex and risk-taking. Social learning theory describes how we learn by example from others. We are strongly influenced by our parents, and other people we look up to, such as peers, actors and pop stars. This can lead us to emulate their behaviour and try smoking.

The Pilot Study on the Association of Diagnosis Results between Sasang Constitutional Medicine and Eight Constitutional Medicine (사상체질과 팔체질 진단결과의 연관성에 대한 예비 연구)

  • Jang, Eun-Su;Kim, Ho-Seok;Jung, Jong-Wook;Yoo, Jong-Hyung;Lim, Jung-A;Lee, Si-Woo
    • Korean Journal of Oriental Medicine
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    • v.14 no.2
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    • pp.93-99
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    • 2008
  • Objectives: This study aims to find out the association between Sasang and Eight Constitution by analyzing Sasang and Eight Constitution Diagnosis results. Methods: We analyzed Sasang and Eight Constitution Diagnosis results according to confidence, by reviewing medical records of 247 patients retrospectively whose Sasang and Eight constitutions were diagnosed by two independent specialists. We used chi-square test and Cramer Statistic to know association of two diagnosis results. Results and Conclusions: Taeumin was 49.8% in Jupita, Soeumin 65.2% in Mercuria, Soyangin 90.9% in Saturna, Taeumin was 54.2% in Jupita, Soeumin 83.4% in Mercuria, Soyangin 100% in Saturna in condition that Sasang and Eight Constitution diagnosis confidence is over Band 50 score. The higher diagnosis confidence is, also the higher association between Sasang and Eight Constitution is up to 0.414(Cramer Statistic). There is association between Sasang and Eight Constitution.

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A Document Sentiment Classification System Based on the Feature Weighting Method Improved by Measuring Sentence Sentiment Intensity (문장 감정 강도를 반영한 개선된 자질 가중치 기법 기반의 문서 감정 분류 시스템)

  • Hwang, Jae-Won;Ko, Young-Joong
    • Journal of KIISE:Software and Applications
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    • v.36 no.6
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    • pp.491-497
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    • 2009
  • This paper proposes a new feature weighting method for document sentiment classification. The proposed method considers the difference of sentiment intensities among sentences in a document. Sentiment features consist of sentiment vocabulary words and the sentiment intensity scores of them are estimated by the chi-square statistics. Sentiment intensity of each sentence can be measured by using the obtained chi-square statistics value of each sentiment feature. The calculated intensity values of each sentence are finally applied to the TF-IDF weighting method for whole features in the document. In this paper, we evaluate the proposed method using support vector machine. Our experimental results show that the proposed method performs about 2.0% better than the baseline which doesn't consider the sentiment intensity of a sentence.

Can Similarities in Medical thought be Quantified? - Focusing on Donguibogam, Uihagibmun and Gyeongagjeonseo - (의학 사상의 유사성은 계량 분석 될 수 있는가 - 『동의보감』과 『의학입문』, 『경악전서』를 중심으로 -)

  • Oh, Junho
    • Journal of Korean Medical classics
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    • v.31 no.2
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    • pp.71-82
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    • 2018
  • Objectives : The purpose of this study is to compare the similarities among Donguibogam(DO), Uihagibmun(UI), and Gyeongagjeonseo(GY) in order to examine whether the medical thoughts embedded in the texts can be compared in a quantitative way. Methods : Under an empirical assumption that medical thoughts can be reduced to the frequency of major key words within the text, we selected the fourteen words of the four categories that are commonly used to describe physiology and pathology in Korean medicine as key words. And the frequency of these key words was measured and compared with each other in the three important medical texts in Korea. Results : As a result of quantitative analysis based on ${\chi}^2$ statistic, the key words in the books were distributed most heterogeneously in DO and distributed most homogeneously in UI. In comparison of the similarity analyzed by the same method, DO and UI were significantly more similar than those of DO and UI. The results of the word frequency pattern and the similarities of the book contents(CBDF) show that DO is influenced by UI, and the differences between standardized residuals and homogeneity tells us that internal context of both books are constructed differently. Conclusions : These results support the results of traditional research by experts. With the above, we were able to confirm that medical thoughts can be reduced to the frequency of major key words within the text, and compared through the frequency of such key words.

Effect of Grandmother-Mother Relationship on Grandmother-Grandchildren Ties: Focusing on the Mediating Effect of Coparenting (조모-어머니 관계질이 조모-손자녀 유대감에 미치는 영향: 공동양육의 매개효과를 중심으로)

  • Choi, Hye-Jeong;An, Jeong-Shin
    • Human Ecology Research
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    • v.58 no.2
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    • pp.149-161
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    • 2020
  • This study showed that the association between grandmother-mother relationship and grandmother-grandchildren ties is mediated by the coparenting. Participants consisted of 329 grandmothers who were rearing preschool aged grandchildren in the Seoul and Gyeonggido area. SPSS 23.0 performed descriptive statistical analysis and correlation analysis. The structural equation model was estimated with AMOS 23.0. Parameters were estimated using the maximum likelihood method. Model fit index used the chi-square statistic, the goodness of fit index (GFI), the Turker-Lewis index (TLI), the comparative fit index (CFI), the root mean square error of approximation (RMSEA). The mediation effect analysis followed a two-step verification process; direct and indirect effect. In addition, statistical significance of the indirect effect was examined using a bootstrapping procedure. The results are as follows. First, a positive correlation was found between the grandmother-mother relationship, grandmother-grandchildren ties, and coparenting. Second, the association between grandmother-mother relationship and grandmother-grandchildren ties is mediated by coparenting. The results of this study suggest that the quality of the grandmother's relationship with mothers and cooperative coparenting is important to building relationships with grandchildren. In addition, coparenting can be an important mechanism for grandmother-mother relationships and grandmother-grandchild ties. Based on the results of this study, we discussed ways to improve the grandmothers' relationship quality with the mother and strengthen parenting ability.

Test of Homogeneity Baseon Complex Survey Data : Discussion Based on Power of Test

  • Heo, Sun-Yeong;Yi, Su-Cheol
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.3
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    • pp.609-620
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    • 2005
  • In the secondary data analysis for categorical data, situations often arise in which the estimated cell variances are available, but not the full matrix of variances. In this case researchers are often inclined to use Pearson-type test statistics for homogeneity. However, for a complex sample observed cell proportions are not distributed as multinomial and Pearson-type test statistic generally is not distributed asymptotically as chi-square distribution. This paper evaluates powers for Wald test and Pearson-type test and the first order corrected test of Pearson-type test for homogeneity. The resulting power curves indicate that as the misspecification effect increases, the amount of inflation of significance level and the loss of power Pearson-type test are getting more severe.

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ARMA Modeling for Nonstationary Time Series Data without Differencing

  • Shin, Dong-Wan;Park, You-Sung
    • Journal of the Korean Statistical Society
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    • v.28 no.3
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    • pp.371-387
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    • 1999
  • For possibly nonstationary autoregressive moving average, modeling based on the original observations rather than the differenced observations is considered. Under this scheme, sample autocorrelation functions, parameter estimates, model diagnostic statistics, and prediction are all computed from the original data instead of the differenced data. The methods and results established under stationarity of data are shown to naturally extend to the nonstationarity of one autoregressive unit root. The sample ACF and PACF can be used for ARMA order determination. The BIC order is strongly consistent. The parameter estimates are asymptotically normal. The portmanteau statistic has chi-square distribution. The predictor is asymptotically equivalent to that based on the differenced data.

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