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1

Murakami, Daisuke, and Morito Tsutsumi. "Practical Spatial Statisics for Areal Interpolation." Environment and Planning B: Planning and Design 39, no. 6 (December 2012): 1016–33. http://dx.doi.org/10.1068/b38034t.

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Fairley, David, and Michael Higner. "Linear Rank Statisics For The Orderes Alternatives Problem." Communications in Statistics - Theory and Methods 16, no. 1 (January 1987): 1–16. http://dx.doi.org/10.1080/03610928708829348.

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3

Zabuga, A. G. "STUDENT PERFORMANCE ASSESSMENT AUTOMATION WITH MATHEMATICAL STATISICS METHODS." Scientific notes of Taurida National V.I. Vernadsky University. Series: Technical Sciences 1, no. 3 (2023): 146–50. http://dx.doi.org/10.32782/2663-5941/2023.3.1/23.

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4

Ohuchi, Tomoharu. "Special Issue. The Recent Progress of Broadcast Engineering and Image Electronics. 15. Statisics." Journal of the Institute of Television Engineers of Japan 46, no. 7 (1992): 902–5. http://dx.doi.org/10.3169/itej1978.46.902.

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5

Shah, Ajit, Sofia Zarate-Escudero, Ravi Bhat, Diego De Leo, and Annette Erlangsen. "Suicide in centenarians: the international landscape." International Psychogeriatrics 26, no. 10 (June 26, 2014): 1703–8. http://dx.doi.org/10.1017/s1041610214001112.

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ABSTRACTBackground.The elderly population size is growing worldwide due increased life expectancy and decreased mortality in the elderly. This has lead to an increase in the number of centenarians, and their numbers are predicted to increase further. Little is known about suicide rates in centenarians.Methods.Data on the number of suicides (ICD-10 codes, X60–84) in centenarians of both gender for as many years as possible from 2000 were ascertained from three sources: colleagues, national statisics office websites and e-mail contact with the national statistics offices of as many countries as possible. The number of centernarians for the corresponding years was estimated for each country using data provided by the United Nations website.Results.Data were available from 17 countries. The suicide rate was 57 (95% confidence interval 45–69) per 100, 000 person years in men and 6.8 (95% confidence interval 5.1–8.5) per 100,000 person years in women.Conclusions.Suicide rates were sufficiently large amongst centenarians for there to constitute a public health concern given the anticipated rise in the centenarian population and the paucity of data on risk and protective factors for suicide in this age group.
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6

Venâncio, Sonia Isoyama, Renata Bertazzi Levy, Silvia Regina Dias Médici Saldiva, Lenise Mondini, and Maria Lúcia Rosa Stefanini. "Sistema de vigilância alimentar e nutricional no Estado de São Paulo, Brasil: experiência da implementação e avaliação do estado nutricional de crianças." Revista Brasileira de Saúde Materno Infantil 7, no. 2 (April 2007): 213–20. http://dx.doi.org/10.1590/s1519-38292007000200012.

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OBJETIVOS: descrever a estratégia de implantação do aplicativo "SISVAN-SP" no Estado de São Paulo e analisar as informações geradas pelo Sistema quanto à distribuição e magnitude dos desvios nutricionais em crianças menores de cinco anos de idade. MÉTODOS: as Unidades Básicas de Saúde dos municípios foram responsáveis pela coleta, digitação e processamento de dados, utilizando um sistema de informações denominado "SISVAN-SP", aplicativo desenvolvido no Instituto de Saúde da Secretaria de Estado da Saúde de São Paulo (SES/SP). Os dados disponíveis mensalmente no sistema são: Direção Regional de Saúde, município, unidade básica de saúde, número do prontuário, data de nascimento, data do atendimento, sexo e classificação do estado nutricional das crianças. Foram consideradas desnutridas as crianças com peso/idade < percentil 3 e em risco de sobrepeso com peso/idade > percentil 97 da curva de referência do National Center of Health Statisics. RESULTADOS: a prevalência de desnutrição variou de 3,1% a 4,2% e a de risco de sobrepeso 4,0 a 4,8% nos diferentes municípios; a qualidade das informações e a cobertura do Sistema, ainda que variáveis, mostraram-se consistentes com informações epidemiológicas. CONCLUSÕES: o aplicativo "SISVAN-SP", desenvolvido pela SES/SP e utilizado para o monitoramento nutricional de crianças até cinco anos de idade, atendidas nas Unidades Básicas de Saúde, mostrou-se útil para avaliar e discutir aspectos do Sistema de Vigilância Alimentar e Nutricional (SISVAN), tais como cobertura e qualidade dos dados. Os resultados apontam para a definição de ações que visem a prevenção e controle de peso dessas crianças.
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Fajari Widhiarma, I. Putu Surya, and Restu Bela Susila. "Outcome of Plate and Screw Fixation in Femoral Shaft Fracture at Sanjiwani General Hospital Gianyar in 2021." Medical and Health Science Journal 7, no. 02 (August 28, 2023): 7–13. http://dx.doi.org/10.33086/mhsj.v7i02.3970.

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Introduction: Fracture is a bone discontinuity followed by soft tissue damage such as blood vessels, muscles and nerves. One of the most common fractures is a femoral shaft fracture that reported the one year mortality rate post trauma is still high around 10-20%and it is a challenged in orthopedics. Surgical therapy in the orthopedic field hasbeen highly developed in the treatment of femoral shaft fractures. Method: Gold standard therapies that have been used for femoral shaft fractures is intramedullary nail but the ORIF PS method is still often used especially in hospitals that have inadequate health facilities byconsidering several risk factors and complications that can occur during the perioperative. This study is a retrosepctive descriptive study that aims to indentify the outcome of plate and screw fixation in femoral shaft fracture at Sanjiwani General Hospital Gianyar in 2021. Result: Medical record, surgical procedure, and outpatient control reports were reviewed to colect pre-, intra-, and postoperative details by identifying data on complications that occur in patients with open and closed femoral shaft fractures who had performed ORIF PS at Sanjiwani Hospital in January 2021 - December 2021. All obtained data analysed using SPSS statisics 22 software. A total of 12 patients were included in this study. Major complication were represented by perioperative bleeding (33%), redisual pain (8%), no complication of implant failure, deep infection, minor infection such as superficial infection and impaired wound healing in this study. Conclusion: In this study was concluded that the most common femoral shaft fracture complication that performed ORIF PS is perioperative bleeding.
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8

Yamato, Hajime, Toshifumi Nomachi, and Koichiro Toda. "Edgeworth Expansions of Some Statistics Including the LB-statistic and V-statistic." JOURNAL OF THE JAPAN STATISTICAL SOCIETY 33, no. 1 (2003): 77–94. http://dx.doi.org/10.14490/jjss.33.77.

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Toda, Koichiro, and Hajime Yamato. "BERRY-ESSEEN BOUNDS FOR SOME STATISTICS INCLUDING LB-STATISTIC AND V-STATISTIC." JOURNAL OF THE JAPAN STATISTICAL SOCIETY 31, no. 2 (2001): 225–37. http://dx.doi.org/10.14490/jjss1995.31.225.

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Zirmansyah, Zirmansyah. "Kualitas Skripsi Mahasiswa Universitas Al Azhar Indonesia: Pengaruh Hasil Belajar Metodologi Penelitian dan Statistik terhadap Kualitas Skripsi." JURNAL Al-AZHAR INDONESIA SERI HUMANIORA 1, no. 1 (April 4, 2011): 19. http://dx.doi.org/10.36722/sh.v1i1.20.

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The objective of the research is to study the relationship between learning outcome on statistic, learning outcome on research methodology and thesis quality. The research was carried out at the student Al Azhar University, with 53 samples of thesis which were selected randomly. The research concludes there is positive correlation between: (1) learning outcome on statistics and thesis quality; (2) knowledge on research methodology and thesis quality; (3) furthermore, there is a positive correlation between learning outcome on statistcs, learning outcome on research methodology, with thesis quality. Therefore thesis quality can be increased by improving learning outcome on statistic, and learning outcome on research metodhology.
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Driscoll, Michale F., and W. D. Laigh. "Characterizations and o-statistic representations of lu-statistics." Communications in Statistics - Theory and Methods 17, no. 8 (January 1988): 2763–77. http://dx.doi.org/10.1080/03610928808829769.

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12

KADOYA, Chitoshi. "Road Accident Statistics." Journal of UOEH 10, no. 2 (1988): 233. http://dx.doi.org/10.7888/juoeh.10.233.

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13

Hušková, Marie, and Paul Jansen. "Generalized bootstrat for studentized U-statistics: A rank statistic approach." Statistics & Probability Letters 16, no. 3 (February 1993): 225–33. http://dx.doi.org/10.1016/0167-7152(93)90147-b.

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14

Subbarao, Dr Uppu Venkata. "Order Statistics of Additive Uniform Exponential Distribution." International Journal for Research in Applied Science and Engineering Technology 9, no. 10 (October 31, 2021): 1084–87. http://dx.doi.org/10.22214/ijraset.2021.38573.

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Abstract: In this paper we investigated the order statistics by using Additive Uniform Exponential Distribution (AUED) proposed by Venkata Subbarao Uppu (2010).The probability density functions of rth order Statistics, lth moment of the rth order Statistic, minimum, maximum order statistics, mean of the maximum and minimum order statistics, the joint density function of two order statistics were calculated and discussed in detailed . Applications and several aspects were discussed Keywords: Additive Uniform Exponential Distribution, Moments, Minimum order statistic, Maximum order statistic, Joint density of the order Statistics, complete length of service.
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15

Lešanovský, Antonín, and Edward Omey. "Moments of order statistics." Časopis pro pěstování matematiky 115, no. 3 (1990): 293–306. http://dx.doi.org/10.21136/cpm.1990.118409.

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16

Banker, Khamir D., and Dr C. D. Bhavsar Dr. C. D. Bhavsar. "Global- Hiv/Aids Statistics." Paripex - Indian Journal Of Research 3, no. 5 (January 15, 2012): 232–35. http://dx.doi.org/10.15373/22501991/may2014/73.

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Banker, Khamir D., and Dr C. D. Bhavsar Dr. C. D. Bhavsar. "INDIA - HIV/AIDS Statistics." Paripex - Indian Journal Of Research 3, no. 5 (January 15, 2012): 236–39. http://dx.doi.org/10.15373/22501991/may2014/74.

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18

Jatnika, Ratna. "The Effect of SPSS Course to Students Attitudes toward Statistics and Achievement in Statistics." International Journal of Information and Education Technology 5, no. 11 (2015): 818–21. http://dx.doi.org/10.7763/ijiet.2015.v5.618.

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19

Aslam, Muhammad, and Osama H. Arif. "Multivariate Analysis under Indeterminacy: An Application to Chemical Content Data." Journal of Analytical Methods in Chemistry 2020 (July 11, 2020): 1–6. http://dx.doi.org/10.1155/2020/1406028.

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The Hotelling T-squared statistic has been widely used for the testing of differences in means for the multivariate data. The existing statistic under classical statistics is applied when observations in multivariate data are determined, precise, and exact. In practice, it is not necessary that all observations in the data are determined and precise due to measurement in complex situations and under uncertainty environment. In this paper, we will introduce the Hotelling T-squared statistic under neutrosophic statistics (NS) which is the generalization of classical statistics and applied under uncertainty environment. We will discuss the application and advantage of the neutrosophic Hotelling T-squared statistic with the aid of data. From the comparison, we will conclude that the proposed statistic is more adequate and effective in uncertainty.
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W. Okereke, Emmanuel, Emmanuel J. Ekpenyong, and Chukwuma Nwaogu. "Missing Value Estimation in a Nested-Factorial Design with Three Factors." Trends Journal of Sciences Research 3, no. 1 (July 26, 2018): 10–17. http://dx.doi.org/10.31586/statistics.0301.02.

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21

A. Ameen, Abdullah, and Osama H. Abbas. "Comparison of Some Robust Wilks’ Statistics for the One-Way Multivariate Analysis of Variance (MANOVA )." Journal of Al-Qadisiyah for computer science and mathematics 11, no. 2 (August 26, 2019): 42–58. http://dx.doi.org/10.29304/jqcm.2019.11.2.556.

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The classicalWilks' statistic is mostly used to test hypothesesin the one-way multivariate analysis of variance (MANOVA), which is highly sensitive to the effects of outliers. The non-robustness of the test statistics based on normal theory has led many authors to examine various options.In this paper, we presented a robust version of the Wilks' statistic and constructed its approximate distribution.A comparison was made between the proposed statistics and some Wilks' statistics. The Monte Carlo studies are used to obtain performance assessment of test statistics in different data sets.Moreover, the results of the type I error rate and the power of test were considered as statistical tools to compare test statistics.The study reveals that, under normally distributed, the type I error rates for the classical and the proposedWilks' statistics are close to the true significance levels, and the power of the test statistics are so close. In addition, in the case of contaminated distribution, the proposed statistic is the best.
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Mohd Zulkefli, Nurisha, Adzhar Rambli, Mohamad Ismeth Khan Azhar Suhaimi, Ibrahim Mohamed, and Raiha Shazween Redzuan. "A Comparison Between Two Discordancy Tests to Identify Outlier in Wrapped Normal (WN) Samples." Sains Malaysiana 52, no. 7 (July 31, 2023): 2139–48. http://dx.doi.org/10.17576/jsm-2023-5207-19.

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This study focuses on comparing the performance of the Robust Circular Distance (RCDU*) (simplified version) and A statistics in detecting a single outlier in the Wrapped Normal (WN) samples. Firstly, this study proposes a simplified version of RCDU statistic. Then, the paper generates the cut-off points for both statistics taken from WN samples via a simulation study. This study also evaluates the performance of both statistics using the proportion of a correct outlier detection. As a result, for a small sample size, the performance of RCDU* and A statistics do not have a huge difference. However, for a large sample size of n=250, A statistic performs slightly better than RCDU* statistic. As an illustration of a practical example, both statistics successfully detected one outlier present in the wind direction data at Kota Bharu station.
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Sugano, Osamu, and Shingo Watadani. "An Association Analysis Based on a Statistic Orthogonal to Linear Rank Statistics." Behaviormetrika 20, no. 1 (January 1993): 17–33. http://dx.doi.org/10.2333/bhmk.20.17.

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24

Hawkins, D. L. "Using U Statistics to Derive the Asymptotic Distribution of Fisher's Z Statistic." American Statistician 43, no. 4 (November 1989): 235. http://dx.doi.org/10.2307/2685369.

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Shawky, Ahmed Ibrahim, Muhammad Aslam, and Khushnoor Khan. "Multiple Dependent State Sampling-Based Chart Using Belief Statistic under Neutrosophic Statistics." Journal of Mathematics 2020 (August 27, 2020): 1–14. http://dx.doi.org/10.1155/2020/7680286.

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In this paper, a control chart scheme has been introduced for the mean monitoring using gamma distribution for belief statistics using multiple dependent (deferred) state sampling under the neutrosophic statistics. The coefficients of the control chart and the neutrosophic average run lengths have been estimated for specific false alarm probabilities under various process conditions. The offered chart has been compared with the existing classical chart through simulation and the real data. From the comparison, it is concluded that the performance of the proposed chart is better than that of the existing chart in terms of average run length under uncertain environment. The proposed chart has the ability to detect a shift quickly than the existing chart. It has been observed that the proposed chart is efficient in quick monitoring of the out-of-control process and a cherished addition in the toolkit of the quality control personnel.
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Denker, Manfred, and Madan L. Puri. "Asymptotic normality of two sample linear rank statistics under U-statistic structure." Journal of Statistical Planning and Inference 32, no. 1 (July 1992): 89–110. http://dx.doi.org/10.1016/0378-3758(92)90154-k.

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Vitali, Marieli Mezari. "Estatística sem matemática para psicologia." Revista Brasileira de Psicodrama 27, no. 1 (September 3, 2019): 139–44. http://dx.doi.org/10.15329/2318-0498.20190015.

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O título do livro apresenta-se como um convite a psicólogos e psicólogas que desejam se aventurar pela pesquisa quantitativa, mas que pouco conhecem ou entendem sobre fórmulas e conceitos matemáticos. Essa edição mantém os conteúdos teóricos das edições passadas, mas atualiza a literatura, os exercícios e as reflexões a partir de feedbacks recebidos nas publicações anteriores.
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Song, Jinqi. "Linearity Test with Unit Root in TV-ESTAR Framework." BCP Business & Management 13 (November 16, 2021): 413–18. http://dx.doi.org/10.54691/bcpbm.v13i.119.

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Firstly, this paper proposes F statistic whose limit distribution and critical values are also provided to test nonlinearity and structure change with unit root in TV-ESTAR model framework. The results show that the distribution of F statistic is nonstandard. Then, this paper analyzes finite sample characteristics of F statistics through the Monte Carlo simulation and founds F statistics has better power than kss statistics in Kapetanios et al to test nonlinear unit root with structure change.
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PARK, TAESUNG, KIWOONG KIM, SUNG-GON YI, JIN HYUK KIM, YONG-SUNG LEE, and SEUNGYEOUN LEE. "SPOT INTENSITY RATIO STATISTICS IN TWO-CHANNEL MICROARRAY EXPERIMENTS." Journal of Bioinformatics and Computational Biology 05, no. 04 (August 2007): 865–73. http://dx.doi.org/10.1142/s0219720007002928.

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In two-channel microarray experiments, the image analysis extracts red and green fluorescence intensities. The ratio of the two fluorescence intensities represents the relative abundance of the corresponding DNA sequence. The subsequent analysis is performed by taking a log-transformation of this ratio. Therefore, the statistical analyses depend on accuracy of the ratios calculated from the image analysis. However, not many studies have been proposed for developing more reliable ratio statistics. In this paper, we consider a new type of log-transformed ratio statistic. We compare the new ratio statistic with the conventional ratio statistic commonly used in two-channel microarray experiments. First, under the specific log-normal distributional assumption, we compare analytically the new statistics with the conventional ratio statistic. Second, we compare those ratio statistics using a two-channel microarray data obtained by hybridizing a mixture of mouse RNA and yeast in vitro transcript (IVT). Both comparisons show that the proposed ratio statistic performs better than the conventional one.
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Chen, Dechang, Zhenqiu Liu, Xiaobin Ma, and Dong Hua. "Selecting Genes by Test Statistics." Journal of Biomedicine and Biotechnology 2005, no. 2 (2005): 132–38. http://dx.doi.org/10.1155/jbb.2005.132.

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Gene selection is an important issue in analyzing multiclass microarray data. Among many proposed selection methods, the traditional ANOVA F test statistic has been employed to identify informative genes for both class prediction (classification) and discovery problems. However, the F test statistic assumes an equal variance. This assumption may not be realistic for gene expression data. This paper explores other alternative test statistics which can handle heterogeneity of the variances. We study five such test statistics, which include Brown-Forsythe test statistic and Welch test statistic. Their performance is evaluated and compared with that of F statistic over different classification methods applied to publicly available microarray datasets.
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Shrahili, Mansour, and Mohamed Kayid. "Excess Lifetime Extropy of Order Statistics." Axioms 12, no. 11 (October 31, 2023): 1024. http://dx.doi.org/10.3390/axioms12111024.

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This paper explores the concept of residual extropy as an uncertainty measure for order statistics. We specifically derive the residual extropy for the ith-order statistic and establish its relationship with the residual extropy of the ith-order statistic from a random sample generated from a uniform distribution. By employing this approach, we obtain a formula for the residual extropy of order statistics applicable to general continuous distributions. In addition, we offer two lower bounds that can be applied in situations where obtaining closed-form expressions for the residual extropy of order statistics in diverse distributions proves to be challenging. Additionally, we investigate the monotonicity properties of the residual extropy of order statistics. Furthermore, we present other aspects of the residual extropy of order statistics, including its dependence on the position of order statistics and various features of the underlying distribution.
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Curran-Everett, Douglas. "Explorations in statistics: hypothesis tests and P values." Advances in Physiology Education 33, no. 2 (June 2009): 81–86. http://dx.doi.org/10.1152/advan.90218.2008.

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Learning about statistics is a lot like learning about science: the learning is more meaningful if you can actively explore. This second installment of Explorations in Statistics delves into test statistics and P values, two concepts fundamental to the test of a scientific null hypothesis. The essence of a test statistic is that it compares what we observe in the experiment to what we expect to see if the null hypothesis is true. The P value associated with the magnitude of that test statistic answers this question: if the null hypothesis is true, what proportion of possible values of the test statistic are at least as extreme as the one I got? Although statisticians continue to stress the limitations of hypothesis tests, there are two realities we must acknowledge: hypothesis tests are ingrained within science, and the simple test of a null hypothesis can be useful. As a result, it behooves us to explore the notions of hypothesis tests, test statistics, and P values.
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Savelov, Maxim P. "A family of asymptotically independent statistics in polynomial scheme containing the Pearson statistic." Discrete Mathematics and Applications 32, no. 1 (February 1, 2022): 39–45. http://dx.doi.org/10.1515/dma-2022-0003.

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Abstract We consider a polynomial scheme with N outcomes. The Pearson statistic is the classical one for testing the hypothesis that the probabilities of outcomes are given by the numbers p 1, …, pN . We suggest a couple of N − 2 statistics which along with the Pearson statistics constitute a set of N − 1 asymptotically jointly independent random variables, and find their limit distributions. The Pearson statistics is the square of the length of asymptotically normal random vector. The suggested statistics are coordinates of this vector in some auxiliary spherical coordinate system.
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Kudlaev, E. M. "Separable statistics derived from a given separable statistic by “restricting” the probability space." Journal of Mathematical Sciences 81, no. 4 (September 1996): 2824–29. http://dx.doi.org/10.1007/bf02362487.

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Siino, Marianna, Salvatore Fasola, and Vito MR Muggeo. "Inferential tools in penalized logistic regression for small and sparse data: A comparative study." Statistical Methods in Medical Research 27, no. 5 (August 10, 2016): 1365–75. http://dx.doi.org/10.1177/0962280216661213.

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This paper focuses on inferential tools in the logistic regression model fitted by the Firth penalized likelihood. In this context, the Likelihood Ratio statistic is often reported to be the preferred choice as compared to the ‘traditional’ Wald statistic. In this work, we consider and discuss a wider range of test statistics, including the robust Wald, the Score, and the recently proposed Gradient statistic. We compare all these asymptotically equivalent statistics in terms of interval estimation and hypothesis testing via simulation experiments and analyses of two real datasets. We find out that the Likelihood Ratio statistic does not appear the best inferential device in the Firth penalized logistic regression.
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SILVA, Marcelo Júnio da, Wesley Pereira do CARMO, and Josney FREITAS SILVA. "ADMINISTRAÇÃO DO ESTOQUE DE EMPRESAS COM USO DE ESTATÍSTICA." Revista AKEDIA - Versões, Negligências e Outros Mundos 11 (2021): 36–57. http://dx.doi.org/10.33726/akdpapers2447-7656v11a72021p36-57.

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The objective of the study is to demonstrate the way in which statistical devices are used in specific departments of companies, which are seen as a basic part of their strategic planning, a condition that has required managers to have a more powerful decision-making flow. The research methodology employed was that of the inductive method associated with the literature review. As partial results of the study, it is emphasized that the use of statistics as support for analysis, generally aims to achieve the most sensible choice among the list of tools used to control stocks. It justifies the conduct of the research, the current stage in which the relevance of the use of calculations and data has been discussed the most, seen as allies with theories in the field of statistics, which support operational research for successful decision making by managers
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Zubkov, Andrei M., and M. V. Filina. "Computation of distributions of statistics by means of Markov chains." Discrete Mathematics and Applications 32, no. 4 (August 1, 2022): 285–95. http://dx.doi.org/10.1515/dma-2022-0024.

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Abstract An approach to the construction of efficient algorithms for the exact computation of distributions of statistics by means of the Markov chains is described. The Pearson statistic, the number of empty cells for random allocations of particles, and the Kolmogorov – Smirnov statistic are considered as examples. Possibilities of extending the approach are discussed, in particular to the computation of the joint distributions of statistics.
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Irdiyansyah, Iyan. "Students Difficulties in Analyzing Experimental Statistics Data." Pedagogia: Jurnal Ilmiah Pendidikan 7, no. 1 (July 31, 2015): 227–32. http://dx.doi.org/10.55215/pedagogia.v7i1.4889.

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This paper is aimed to know the students difficulties in statistics especially in formulating experimental statistics data. Descriptive method is used to describe and analyze students barries in statistics. Students work as documentation, questionnaire and interview are used for collecting the data. The data from the documentation, questionnaire, and interview showed that the students have difficulties in the experimental data calculation. There are factors that cause their difficulties in experimental statistics data calculation. First, they seldom read experimental statistic data processing. Second, the experimental formula is more difficult from others statistic formulas. Many tables should be prepared, and taking the conclusion is also becoming students difficulties. To overcome these barriers, basic of math or statistics, the usage of suitable teaching method and technique are needed very much. It may change students behavior towards this material. Additionally, sharing to friends and students perception change will affect their confidence towards experimental statistics data calculation.
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Beh, Eric J., and Rosaria Lombardo. "Correspondence Analysis for Assessing Departures from Perfect Symmetry Using the Cressie–Read Family of Divergence Statistics." Symmetry 16, no. 7 (July 2, 2024): 830. http://dx.doi.org/10.3390/sym16070830.

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Recently, Beh and Lombardo (2022, Symmetry, 14, 1103) showed how to perform a correspondence analysis on a two-way contingency table where Bowker’s statistic lies at the numerical heart of this analysis. Thus, we showed how this statistic could be used to visually identify departures from perfect symmetry. Interestingly, Bowker’s statistic is a special case of the symmetry version of the Cressie–Read family of divergence statistics. Therefore, this paper presents a new framework for visually assessing departures from perfect symmetry using a second-order Taylor series approximation of the Cressie–Read family of divergence statistics.
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Carlstein, E. "Degenerate U-Statistics Based on Non-Independent Observations." Calcutta Statistical Association Bulletin 37, no. 1-2 (March 1988): 55–66. http://dx.doi.org/10.1177/0008068319880106.

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Many important statistics are actually degenerate U-statistics; examples include the χ2 goodness-of-fit statistic, the generalized Cramer-von Mises goodness-of-fit statistics, Hoeffding's nonparametric measure of bivariate dependence, the sample variance, ahd the cross-product statistic. Although these statistics were originally proposed for iid data, they remain intuitively reasonable and useful even when the underlying data contain serial dependence. The presence of such dependence alters the limiting distributions for these statistics, and this in turn should be reflected in any concomitant confidence intervals or critical regions. This paper presents straightforward asymptotic distribution theory for degenerate U-statistics computed from dependent observations : the results are applied to the examples mentioned above. The dependence in the data is characterized using standard model-free mixing conditions. There has not been much other work on degenerate U-statistics in the non-independent case, and our geueral formulation is the first to permit a unified treatment of all the examples discussed above. In fact, the asymptotic distributions of the Cramér-von Mises and Hoeffding statistics have not previously been derived in the case of non-independent data.
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41

Yam, Jim Hoy. "AMBIGUITAS STATISTIKA DESKRIPTIF & STATISTIKA INFERENSIAL." JURNAL PENELITIAN DAN KARYA ILMIAH 20, no. 2 (November 6, 2020): 117–24. http://dx.doi.org/10.33592/pelita.vol20.iss2.664.

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There is ambiguity of descriptive statistics and inferential statistics, which are applied on a scientific research paper. First ambiguity: Is it appropriate to apply 2 types of statistic in a research? And the second ambiguity: whether inferential statistics can utilize non-probability sample data? Those 2 questions motivate me to write this paper. The aim are to find answers of the ambiguity; by based on research behavior phenomenon, which are referring to research theory and research theorem. At the eventually, the conclusion, descriptive statistics and inferential statistics are need to be joined in a study to shake of the research output in terms to describing data of population or sample, then followed by data testing and data analyzing to draw conclusions. While the next ambiguity concerning of using non probability sampling by inferential statistic; it have been done by some researchers, with the excuse of result achievement closer to actual condition.
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42

Yuan, Ke-Hai, and Peter M. Bentler. "F Tests for Mean and Covariance Structure Analysis." Journal of Educational and Behavioral Statistics 24, no. 3 (September 1999): 225–43. http://dx.doi.org/10.3102/10769986024003225.

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Covariance structure analysis is used for inference and for dimension reduction with multivariate data. When data are not normally distributed, the asymptotic distribution free (ADF) method is often used to fit a proposed model. The ADF test statistic is asymptotically distributed as a chi-square variate. Experience with real data indicates that the ADF statistic tends to reject theoretically meaningful models. Empirical simulation shows that the ADF statistic rejects correct models too often for all but impractically large sample sizes. By comparing mean and covariance structure analysis with its analogue in the multivariate linear model, we propose some modified ADF test statistics whose distributions are approximated by F distributions. Empirical studies show that the distributions of the new statistics are more closely approximated by F distributions than are the original ADF statistics when referred to chi-square distributions. Detailed analysis indicates why the ADF statistic fails on large models and why F tests and corrections give better results. Implications for power analysis and model tests in other areas are discussed.
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43

Sinharay, Sandip. "Detection of Item Preknowledge Using Likelihood Ratio Test and Score Test." Journal of Educational and Behavioral Statistics 42, no. 1 (October 25, 2016): 46–68. http://dx.doi.org/10.3102/1076998616673872.

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An increasing concern of producers of educational assessments is fraudulent behavior during the assessment (van der Linden, 2009). Benefiting from item preknowledge (e.g., Eckerly, 2017; McLeod, Lewis, & Thissen, 2003) is one type of fraudulent behavior. This article suggests two new test statistics for detecting individuals who may have benefited from item preknowledge; the statistics can be used for both nonadaptive and adaptive assessments that may include either or both of dichotomous and polytomous items. Each new statistic has an asymptotic standard normal n distribution. It is demonstrated in detailed simulation studies that the Type I error rates of the new statistics are close to the nominal level and the values of power of the new statistics are larger than those of an existing statistic for addressing the same problem.
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44

Subbarao, Uppu Venkata. "Order Statistics of Doubly Truncated Additive Uniform Exponential Distribution." International Journal for Research in Applied Science and Engineering Technology 10, no. 7 (July 31, 2022): 1795–99. http://dx.doi.org/10.22214/ijraset.2022.45544.

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Abstract: In this paper we truncated the Additive Uniform Exponential Distribution (AUED) proposed by Venkata Subbarao Uppu (2010).The probability density functions of rth order Statistics, l th moment of the rth order Statistic, minimum, maximum order statistics, mean of the maximum and minimum order statistics, the joint density function of two order statistics of the truncated distribution were calculated and discussed in detailed .
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45

Mian, Rajibul, and Sudhir Paul. "Tests of exponentiality against some parametric over/under-dispersed life time models." Acta et Commentationes Universitatis Tartuensis de Mathematica 21, no. 2 (December 22, 2017): 207–23. http://dx.doi.org/10.12697/acutm.2017.21.14.

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We develop tests of goodness of fit of the exponential model against some over/under dispersion family of distributions. In particular, we develop 3 score test statistics and 3 likelihood ratio statistics. These are (S1, L1), (S2, L2), and (S3, L3) based on a general over-dispersed family of distributions, two specic over/under dispersed exponential models, namely, the gamma and the Weibull distributions, respectively. A simulation study shows that the statistics S3 and L3 have best overall performance, in terms of both, level and power. However, the statistic L3 can be liberal in some instances and it needs the maximum likelihood estimates of the parameters of the Weibull distribution as opposed to the statistic S3 which is very simple to use. So, our recommendation is to use the statistic S3 to test the fit of an exponential distribution over any over/under-dispersed exponential distribution.
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46

Siewert, Katherine M., and Benjamin F. Voight. "BetaScan2: Standardized Statistics to Detect Balancing Selection Utilizing Substitution Data." Genome Biology and Evolution 12, no. 2 (February 1, 2020): 3873–77. http://dx.doi.org/10.1093/gbe/evaa013.

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Abstract Long-term balancing selection results in a build-up of alleles at similar frequencies and a deficit of substitutions when compared with an outgroup at a locus. The previously published β(1) statistics detect balancing selection using only polymorphism data. We now propose the β(2) statistic which detects balancing selection using both polymorphism and substitution data. In addition, we derive the variance of all β statistics, allowing for their standardization and thereby reducing the influence of parameters which can confound other selection tests. The standardized β statistics outperform existing summary statistics in simulations, indicating β is a well-powered and widely applicable approach for detecting balancing selection. We apply the β(2) statistic to 1000 Genomes data and report two missense mutations with high β scores in the ACSBG2 gene. An implementation of all β statistics and their standardization are available in the BetaScan2 software package at https://github.com/ksiewert/BetaScan.
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47

Kaufman, Jay S. "Statistics, Adjusted Statistics, and Maladjusted Statistics." American Journal of Law & Medicine 43, no. 2-3 (May 2017): 193–208. http://dx.doi.org/10.1177/0098858817723659.

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Statistical adjustment is a ubiquitous practice in all quantitative fields that is meant to correct for improprieties or limitations in observed data, to remove the influence of nuisance variables or to turn observed correlations into causal inferences. These adjustments proceed by reporting not what was observed in the real world, but instead modeling what would have been observed in an imaginary world in which specific nuisances and improprieties are absent. These techniques are powerful and useful inferential tools, but their application can be hazardous or deleterious if consumers of the adjusted results mistake the imaginary world of models for the real world of data. Adjustments require decisions about which factors are of primary interest and which are imagined away, and yet many adjusted results are presented without any explanation or justification for these decisions. Adjustments can be harmful if poorly motivated, and are frequently misinterpreted in the media’s reporting of scientific studies. Adjustment procedures have become so routinized that many scientists and readers lose the habit of relating the reported findings back to the real world in which we live.
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48

van den Besselaar, Peter. "Descriptive statistics, inferential statistics, rhetorical statistics." Journal of the American Society for Information Science and Technology 54, no. 11 (2003): 1077. http://dx.doi.org/10.1002/asi.10304.

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49

Ermakov, Mikhail S., and David Yu Kapatsa. "On uniform consistency of Neyman’s type nonparametric tests." Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy 10, no. 2 (2023): 212–25. http://dx.doi.org/10.21638/spbu01.2023.203.

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The goodness-of-fit problem is explored, when the test statistic is a linear combination of squared Fourier coefficients’ estimates coming from the Fourier decomposition of a probability density. Common examples of such statistics include Neyman’s test statistics and test statistics, generated by L2-norms of kernel estimators. We prove the asymptotic normality of the test statistic for both the null and alternative hypothesis. Using these results we deduce conditions of uniform consistency for nonparametric sets of alternatives, which are defined in terms of distribution or density functions. Results on uniform consistency, related to the distribution functions, can be seen as a statement showing to what extent the distance method, based on a given test statistic, makes the hypothesis and alternatives distinguishable. In this case, the deduced conditions of uniform consistency are close to necessary. For sequences of alternatives - defined in terms of density functions - approaching the hypothesis in L2-metric, we find necessary and sufficient conditions for their consistency. This result is obtained in terms of the concept of maxisets, the description of which for given test statistics is found in this publication.
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50

LAI, DEJIAN. "ASYMPTOTIC DISTRIBUTION OF THE ESTIMATED BDS STATISTIC AND RESIDUAL ANALYSIS OF AR MODELS ON THE CANADIAN LYNX DATA." Journal of Biological Systems 08, no. 01 (March 2000): 95–114. http://dx.doi.org/10.1142/s0218339000000079.

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The Brock–Dechert–Scheinkman (BDS) statistic is a nonparametric statistic based on correlation integral for testing independence. It has a special ability to identify dependence in a given time series generated by some simple dynamic systems when many conventional test statistics are not able to distinguish this type of time series from observations of independent, identically distributed (IID) random variables. Using the contiguity property derived from the local asymptotic normality for the log-likelihood ratio of nonlinear autoregressive processes, we prove the central limit theorem for the estimated BDS statistic on the residuals of fitting nonlinear autoregressive models. Comparative studies on the BDS statistic and some other nonparametric statistics on simulated time series and residuals from the AR models on the Canadian lynx are also provided in this paper.
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