scholarly journals Regression model of rank –frequency data of Tamil text

2018 ◽  
Vol 7 (3) ◽  
pp. 1558
Author(s):  
S Lakshmisridevi ◽  
R Devanathan

The application of Zipf’s law is universal not only in linguistics but also in various other areas. Mandelbrot modified Zipf law as Zipf Mandelbrot law and it is further we proposed a modification of the ZM law for modeling rank frequency- data of linguistic text. Our model generalized ZM law into a linear regression model involving arbitrary order of Zipfian rank of words in a text .The performance of the proposed model is studied for an English text and it shown to compare favorably with that of Z-M law using Chi-Square goodness of fit test. In this paper we have applied to Tamil text and its performance is also up to the mark and it is been proved by the Chi-Square test and it addresses mainly the lower ranks, we propose to extend the work to higher order ranks using LNRE model in the future. 

2016 ◽  
Vol 18 (2) ◽  
pp. 139-148
Author(s):  
Togani Cahyadi Upomo ◽  
Rini Kusumawardani

Rainfall event is a stochastic process, so to explain and analyze this processes the probability theory and frequency analysisare used. There are four types of probability distributions.They are normal, log normal, log Pearson III and Gumbel. To find the best probabilities distribution, it will used goodness of fit test. The tests consist of chi-square and smirnov-kolmogorov. Results of the chi-square test for normal distribution, log normal and log Pearson III was 0.200, while for the Gumbel distribution was 2.333. Results of Smirnov Kolmogorov test for normal distribution D = 0.1554, log-normal distribution D = 0.1103, log Pearson III distribution D = 0.1177 and Gumbel distribution D = 0.095. All of the distribution can be accepted with a confidence level of 95%, but the best distribution is log normal distribution.Kejadian hujan merupakan proses stokastik, sehingga untuk keperluan analisa dan menjelaskan proses stokastik tersebut digunakan teori probabilitas dan analisa frekuensi. Terdapat empat jenis distribusi probabilitas yaitu distribusi normal, log normal, log pearson III dan gumbel. Untuk mencari distribusi probabilitas terbaik maka akan digunakan pengujian metode goodness of fit test. Pengujian tersebut meliputi uji chi-kuadrat dan uji smirnov kolmogorov. Hasil pengujian chi kuadrat untuk distribusi normal, log normal dan log pearson III adalah 0.200, sedangkan untuk distribusi gumbel 2.333. Hasil pengujian smirnov kolmogorov untuk distribusi normal dengan nilai D = 0.1554, distribusi log normal dengan nilai D = 0.1103, distribusi log pearson III dengan nilai D = 0.1177 dan distribusi gumbel dengan nilai D = 0.095. Seluruh distribusi dapat diterima dengan tingkat kepercayaan 95%, tetapi distribusi terbaik adalah distribusi log normal.


1971 ◽  
Vol 97 (2-3) ◽  
pp. 325-330 ◽  
Author(s):  
J. H. Pollard

In his paper of 1941, Seal included details of some experiments he performed in an attempt to estimate the appropriate number of degrees of freedom for the chi-square goodness-of-fit test of a summation formula graduation. These results are referred to by Tetley and by Benjamin and Haycocks in their textbooks when they mention the difficulty of determining the number of degrees of freedom or mean chi-square value.


Blood ◽  
2005 ◽  
Vol 106 (11) ◽  
pp. 2647-2647
Author(s):  
Yu-Min Shen ◽  
Anna Dyszkiewicz-Korpanty ◽  
Ray Lee ◽  
Jyoti Balani ◽  
Eugene Frenkel ◽  
...  

Abstract AIMS: We investigated the prevalence and clinical relevance and significance of the various immunoglobulin (Ig) isotypes of the different aPLs and lupus anticoagulant (LAC). METHOD: Our study registry for the year 2003 included 472 patients who had a complete antiphospholipid antibody laboratory work up and clinical evaluation. 137 had the presence of LAC, detected by the dilute Russell’s viper venom time (Dade Behring, Marburg, Germany), PTT-LA (Diagnostica Stago, Asnieres, France), or hexagonal phospholipid neutralization test (Diagnostica Stago, Asnieres, France); 211 had elevated titers of antibodies of IgG, IgM or IgA isotypes against cardiolipin (aCL), phosphatidylserine (aPS), or β2-glycoprotein-I (aβ2GPI), detected by ELISA (Corgenix, Inc, Westminister, CO, USA). 204 had no evidence of either LAC or aPL. RESULTS: Of the patients with aPL, 67 (32%) had elevated titers of IgG, 126 (60%) had IgM, and 118 (56%) had IgA. Thrombotic events occurred in 61% (41 of 67), 52% (65 of 126), and 61% (72 of 118) of the patients with IgG, IgM, and IgA respectively. Patients with IgG and IgA isotypes of aCL, aPS and aβ2GPI had higher rates (58–67%) of thrombotic events (see table 1) than patients with IgM isotypes (46–50%). Stepwise logistic regression analysis identified elevated titer of IgA of any aPL as an independent risk factor for thrombosis (see table 2), even in the absence of LAC. Thrombotic events observed include deep venous thrombosis (25%), pulmonary embolism (12%), cerebrovascular accident (50%), myocardial infarction (8%), and peripheral arterial occlusion (3%); pregnancy complication, retinal vascular thrombosis, and dialysis access thrombosis were also seen. CONCLUSION: Our study demonstrates that aPL of IgA isotype is prevalent and significantly associated with thrombotic events. Proportions of Patients with Thrombosis amongst various aPLs and Ig Isotypes aCL aPS aβ2GPI Total * Two-sided P < 0.05 by McNemar’s test for equality of two dependent proportions IgG 28/43 (65%) 23/36 (64%) 13/21 (62%)* 41/67 (61%) IgM 17/37 (46%)* 28/58 (48%) 45/90 (50%)* 65/126 (52%) IgG 15/26 (58%)* 22/33 (67%) 54/91 (59%)* 72/118 (61%) Total 44/79 (56%) 58/105 (55%) 85/159 (53%) 118/211 (56%) Risk Factors for Thrombosis Antibody Odds Ratio 95% Wald Confidence Limit * p < 0.05 by the Wald chi-square test. Hosmer and Lemeshow goodness-of-fit test was used to assess the model fit. N=472 for the 1st four analyses, N=335 for the last three analyses. LAC 1.627 1.073–2.466* IgG regardless of LAC 1.364 0.781–2.384 IgM regardless of LAC 0.874 0.569–1.344 IgA regardless of LAC 1.587 1.012–2.490* IgG LAC negative 1.790 0.863–3.714 IgM LAC negative 0.878 0.515–1.499 IgA LAC negative 1.812 1.035–3.172*


2016 ◽  
Vol 6 (2) ◽  
pp. 1-20 ◽  
Author(s):  
Parviz Kafchehi ◽  
Kaveh Hasani ◽  
Arman Gholami

The aim of this study is to investigate the relationship between innovation orientation and strategic typology in firms such a way that a classification on the organization's orientation toward innovation and strategy could be obtained. The statistical population includes high executive managers of firms who have been acting in 4 industries of banking (B), food (F), insurance (I), and pharmacy (P), and have been the five pioneering firms in these industries. To test the hypothesis, the mean test analysis, the Goodness- of- Fit- Test, Chi- square test, and cross- tables were used and tested by SPSS18 software. The results show that there is a significant relationship between the firm's orientation toward innovation and competitive strategy; the more firm's orientation toward innovation, the firms uses more Prospector strategy, and their strategies have a more aggressive state. This paper provides a richer understanding of innovation orientation and strategic typology formation for similar firms.


2008 ◽  
Vol 136 (6) ◽  
pp. 2133-2139 ◽  
Author(s):  
Ian T. Jolliffe ◽  
Cristina Primo

Abstract Rank histograms are often plotted to evaluate the forecasts produced by an ensemble forecasting system—an ideal rank histogram is “flat” or uniform. It has been noted previously that the obvious test of “flatness,” the well-known χ2 goodness-of-fit test, spreads its power thinly and hence is not good at detecting specific alternatives to flatness, such as bias or over- or underdispersion. Members of the Cramér–von Mises family of tests do much better in this respect. An alternative to using the Cramér–von Mises family is to decompose the χ2 test statistic into components that correspond to specific alternatives. This approach is described in the present paper. It is arguably easier to use and more flexible than the Cramér–von Mises family of tests, and does at least as well as it in detecting alternatives corresponding to bias and over- or underdispersion.


2019 ◽  
Vol 14 (1) ◽  
pp. 1-8
Author(s):  
Tom Henkel ◽  
Jim Marion ◽  
Debra Bourdeau

The present study explored the applicable motivation factors that contribute to job satisfaction in terms of job motivators and maintenance factors when working on projects. The researchers asked students enrolled in a university advanced project management leadership course to respond to a job motivators and maintenance factors factor self- assessment. This tool is useful in determining the factors that contribute to motivation when working on projects (Lusser & Achua, 2016). The researchers then conducted a chi-square test to determine whether the observed values were significantly different from an expected value of 18, which is the midpoint. The chi-square goodness of fit test led to the rejection of H10 and the acceptance of H1a. with a p<.001. Additionally, the chi-square goodness of fit test led to the acceptance of H20 and the rejection of H2a. with a p=.994. The self-assessment revealed that the students tended to exhibit higher motivator scores and lower maintenance scores. The findings of this study have significant implications for leadership behavior when leading project teams. These findings can also contribute to a better understanding of the motivation factors that characterize team members for the completion of successful projects.


2020 ◽  
Vol 9 (1) ◽  
pp. 84-88
Author(s):  
Govinda Prasad Dhungana ◽  
Laxmi Prasad Sapkota

 Hemoglobin level is a continuous variable. So, it follows some theoretical probability distribution Normal, Log-normal, Gamma and Weibull distribution having two parameters. There is low variation in observed and expected frequency of Normal distribution in bar diagram. Similarly, calculated value of chi-square test (goodness of fit) is observed which is lower in Normal distribution. Furthermore, plot of PDFof Normal distribution covers larger area of histogram than all of other distribution. Hence Normal distribution is the best fit to predict the hemoglobin level in future.


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