scholarly journals Linear regression of sampling distributions of the mean

2021 ◽  
Author(s):  
David J Torres ◽  
Ana Vasilic ◽  
Jose Pacheco

AbstractWe show that the simple and multiple linear regression coefficients and the coefficient of determination R2 computed from sampling distributions of the mean (with or without replacement) are equal to the regression coefficients and coefficient of determination computed with individual data. Moreover, the standard error of estimate is reduced by the square root of the group size for sampling distributions of the mean. The result has applications when formulating a distance measure between two genes in a hierarchical clustering algorithm. We show that the Pearson R coefficient can measure how differential expression in one gene correlates with differential expression in a second gene.

2021 ◽  
Author(s):  
Solange Suli ◽  
Matilde Rusticucci ◽  
Soledad Collazo

<p>Small variations in the mean state of the atmosphere can cause large changes in the frequency of extreme events. In order to deepen and extend previous results in time, in this work we analyzed the linear relationship between extreme and mean temperature (Τ) on a climate change scale in Argentina. Two monthly extreme indices, cold nights (TN10) and warm days (TX90), were calculated based on the quality-controlled daily minimum and maximum temperature data provided by the Argentine National Meteorological Service from 58 conventional weather stations located over Argentina in the 1977–2017 period. Subsequently, we evaluated the relationship between the linear trends of extremes and mean temperature on a seasonal basis (JFM, AMJ, JAS, and OND). Student's T-test was performed to analyze their statistical significance at 5%. Firstly, positive (negative) and significant linear regressions were found between TX90 (TN10) trends and mean temperature trends for the four studied seasons. Therefore, an increase in the Τ-trend maintains a linear relationship with significant increase (decrease) of warm days (cold nights). Moreover, we found that JFM was the one with the highest coefficient of determination (0.602 for hot extremes and 0.511 for cold extremes), implying that 60.2% (51.1%) of the TX90 (TN10) trend could be explained as a function of the Τ-trend by a linear regression. In addition, in the JFM (OND) quarter, the TX90 index increased by 7.02 (6.02) % of days each with a 1 ºC increase in the mean temperature. Likewise, the TN10 index decreased by 4.94 (and 4.99) % of days from a 1ºC increase in the mean temperature for the JFM (AMJ) quarter. Finally, it is worthwhile to highlight the uneven behavior between hot and cold extremes and the mean temperature. Specifically, it was observed that the slopes of the linear regression calculated for the TX90 index and Τ presented a higher absolute value than those registered for the TN10 index and Τ. Therefore, a change in the mean temperature affects hot extremes to a greater extent than cold ones in Argentina.</p>


2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Shubei Li ◽  
Dong Zhang ◽  
Lan Yang ◽  
Yujie Li ◽  
Xiaoxin Zhu ◽  
...  

A simple and accurate HPLC-UV method was developed for the simultaneous quantitative analysis of main stilbenes and flavones in different parts (fronds, rhizomes, and frond bases) ofM. struthiopteris. The chromatographic separation was performed on a Kromasil C18 column (4.6 mm × 250 mm, 5 μm) with the mobile phase of MeOH-H2O (including 0.1% phosphoric acid) using a gradient elution at the flow rate of 1.0 mL min−1and UV detection at 295 nm. The method was validated by specificity, linearity, accuracy (recovery), and precision tests (repeatability, intra- and interday). For all the six compounds, the linear regression coefficients ranged from 0.9958 to 0.9998 within the test ranges; intra- and interday precisions were<2% and the mean recoveries ranged from 98.09 to 103.56%. The amount of these compounds in the frond bases was almost the same as in the rhizomes but much higher than that in the fronds. The results indicate that the HPLC method developed was appropriate for the analysis of the six compounds in different parts (fronds, rhizomes, and frond bases) ofM. struthiopteris.


2004 ◽  
Vol 57 (12) ◽  
pp. 1139 ◽  
Author(s):  
Keith R. Bambery ◽  
Bayden R. Wood ◽  
Michael A. Quinn ◽  
Don McNaughton

FTIR images of cervical tissue from patient biopsies were processed with an unsupervised hierarchical clustering algorithm and compared with hematoxylin- and eosin-stained adjacent sections. Anatomical and potential histopathological features were clearly resolved in the resultant cluster maps. The mean extracted spectra assigned to each cluster indicate that the major spectral differences between the different cells in tissue predictably occur in the amide I region (1700–1570 cm−1) and the phosphodiester/glycogen region (1200–1000 cm−1). FTIR imaging in which a focal plane array mercury–cadmium–telluride detector and unsupervised hierarchical clustering is used shows potential as a rapid, non-subjective diagnostic tool in cervical pathology.


2019 ◽  
Vol 11 (14) ◽  
pp. 216 ◽  
Author(s):  
Bruno V. C. Guimarães ◽  
Sérgio L. R. Donato ◽  
Ignacio Aspiazú ◽  
Alcinei M. Azevedo ◽  
Abner J. de Carvalho

Behavior analysis and plant expression are the answers the researcher needs to construct predictive models that minimize the effects of the uncertainties of field production. The objective of this study was to compare the simple and multiple linear regression methods and the artificial neural networks to allow the maximum security in the prediction of harvest in &lsquo;Gigante&rsquo; cactus pear. The uniformity test was conducted at the Federal Institute of Bahia, Campus Guanambi, Bahia, Brazil, coordinates 14&deg;13&prime;30&Prime; S, 42&deg;46&prime;53&Prime; W and altitude of 525 m. At 930 days after planting, we evaluated 384 basic units, in which were measured the following variables: plant height (PH); cladode length (CL), width (CW) and thickness (CT); cladode number (CN); total cladode area (TCA); cladode area (CA) and cladode yield (Y). For the comparison between the artificial neural networks (ANN) and regression models (single and multiple-SLR and MLR), we considered the mean prediction error (MPE), the mean quadratic error (MQE), the mean square of deviation (MSD) and the coefficient of determination (R2).The values estimated by the ANN 7-5-1 showed the best proximity to the data obtained in field conditions, followed by ANN 6-2-1, MLR (TCA and CT), SLR (TCA) and SLR (CN). In this way, the ANN models with the topologies 7-2-1 and 6-2-1, MLR with the variables total cladode area and cladode thickness and SLR with the isolated descriptors total cladode area and cladode number, explain 85.1; 81.5; 76.3; 74.09 and 65.87%, respectively, of the yield variation. The ANNs were more efficient at predicting the yield of the &lsquo;Gigante&rsquo; cactus pear when compared to the simple and multiple linear regression models.


2016 ◽  
Author(s):  
William T. Ball ◽  
Aleš Kuchař ◽  
Eugene V. Rozanov ◽  
Johannes Staehelin ◽  
Fiona Tummon ◽  
...  

Abstract. We find that wintertime temperature anomalies near 4 hPa and 50° N/S are related, through dynamics, to anomalies in ozone and temperature, particularly in the tropical stratosphere, but also throughout the upper stratosphere and mesosphere. These mid-latitude anomalies occur on timescales of up to a month, and are related to changes in wave-forcing. A change in the meridional circulation extends from the middle stratosphere into the mesosphere and forms a temperature-change quadrupole from equator to pole. We develop a dynamical index based on detrended, deseasonalised mid-latitude temperature. When employed in multiple linear regression, this index can account for up to 40 % of the total variability of temperature and ozone and a doubling of the total coefficient of determination in the equatorial stratosphere above 20 hPa. Further, the uncertainty on all multiple-linear regression coefficients can be reduced by up to 45 % and 25 % in temperature and ozone, respectively, and so this index is an important tool for quantifying current and future ozone recovery.


Author(s):  
Senen Senen

The purpose of this study was to know the partial influence between work rotation on employee performance, to know the partial influence between organizational communication on employee performance, to know the partial influence between job satisfaction on employee performance, to know the simultaneous influence between work rotation, organizational communication and job satisfaction. The method in the study was to use multiple linear regression, with classical assumption test stages (data normality, multicolinearity and heteroscedastiity), coefficient of determination, analysis of multiple linear regression coefficients and significant tests (t and F). The data used is primary data by distributing questionnaires to respondents, namely KOPEGTEL Jaya employees of 56 customers. The results showed that partially variables of job rotation, organizational communication and job satisfaction affect employee performance. Simultaneously it also shows that variables of job rotation, organizational communication and job satisfaction affect employee performance. Based on the results of the coefficient of determination found that variables of work rotation, organizational communication and job satisfaction have an influence of 80%, while the remaining 20% is explained by other unknown factors or variables and is not included in this regression analysis, such as salary, work environment and others. Abstrak Tujuan penelitian ini adalah untuk mengetahui pengaruh secara parsial antara rotasi kerja terhadap kinerja karyawan, unntuk mengetahui pengaruh secara parsial antara komunikasi organisasi terhadap kinerja karyawan, untuk mengetahui pengaruh secara parsial antara kepuasan kerja terhadap kinerja karyawan, untuk mengetahui pengaruh secara simultan antara rotasi kerja, komunikasi organisasi dan kepuasan kerja. Metode dalam penelitian adalah regresi linier berganda, dengan tahapan uji asumsi klasik (normalitas data, multikolinearitas dan heteroskedastisitas), koefisien determinasi, analisis koefisien regresi linier berganda dan uji signifikan (t dan F). Data yang digunakan adalah data primer dengan cara membagikan kuesioner kepada responden yaitu karyawan KOPEGTEL Jaya yang berjumlah 56 pelanggan. Hasil penelitian menunjukan bahwa bahwa secara parsial variabel rotasi kerja, komunikasi organisasi dan kepuasan kerja berpengaruh terhadap kinerja karyawan. Secara simultan juga menunujukkan bahwa variabel rotasi kerja, komunikasi organisasi dan kepuasan kerja berpengaruh terhadap kinerja karyawan. Berdasarkan hasil koefisien determinasi ditemukan bahwa variabel rotasi kerja, komunikasi organisasi dan kepuasan kerja memiliki pengaruh sebesar 80%, sedangkan sisanya 20% dijelaskan dengan faktor atau variabel lain yang tidak diketahui dan tidak termasuk dalam analisis regresi ini, seperti gaji, lingkungan kerja dan lainnya.   KataKunci:Rotasi Kerja, Komunikasi Organisasi, Kepuasan Kerja, Kinerja Karyawan  


2014 ◽  
Vol 14 (14) ◽  
pp. 7533-7541 ◽  
Author(s):  
K. Gierens ◽  
K. Eleftheratos ◽  
L. Shi

Abstract. We use 30 years of intercalibrated HIRS (High-Resolution Infrared Radiation Sounder) data to produce a 30-year data set of upper tropospheric humidity with respect to ice (UTHi). Since the required brightness temperatures (channels 12 and 6, T12 and T6) are intercalibrated to different versions of the HIRS sensors (HIRS/2 and HIRS/4) it is necessary to convert the channel 6 brightness temperatures which are intercalibrated to HIRS/4 into equivalent brightness temperatures intercalibrated to HIRS/2, which is achieved using a linear regression. Using the new regression coefficients we produce daily files of UTHi, T12 and T6, for each NOAA satellite and METOP-A (Meteorological Operational Satellite Programme), which carry the HIRS instrument. From this we calculate daily and monthly means in 2.5° × 2.5° resolution for the northern midlatitude zone 30–60° N. As a first application we calculate decadal means of UTHi and the brightness temperatures for the two decades 1980–1989 and 2000–2009. We find that the humidity mainly increased from the 1980s to the 2000s and that this increase is highly statistically significant in large regions of the considered midlatitude belt. The main reason for this result and its statistical significance is the corresponding increase of the T12 variance. Changes of the mean brightness temperatures are less significant.


2019 ◽  
Vol 5 (1) ◽  
pp. 50-63
Author(s):  
Heru Heryanto ◽  
Nur Laela ◽  
Riana R Dewi

This study aims to determine the significance of the influence of competence, independence, professionalism, auditor experience, accountability, and auditor's knowledge of audit quality. This study uses a questionnaire with a population and sample, namely all auditors who work at the Public Accounting Office (KAP) in the Special Region of Yogyakarta and Surakarta. Sampling techniques using Convenience Sampling with a sample of 61 respondents. The data used in this study is a questionnaire using a Likert scale 1 to 5. The data analysis technique used in this study is multiple linear regression using the SPSSprogram for Windows. The analysis tool in this study using validity and reliability, the classical assumption (normality test, multicollinearity, heteroscedasticity test and autocorrelation test) while the data were analyzed using multiple linear regression test, t test, F test and the coefficient of determination (R2).Based on the results of the t-test analysis performed, it shows that there is a positive influence of competence, independence, professionalism, auditor experience, accountability, and auditor's knowledge of audit quality and simultaneously competency, independence, professionalism, auditor experience, accountability, and auditor knowledge variables affect quality audit


Author(s):  
Mohana Priya K ◽  
Pooja Ragavi S ◽  
Krishna Priya G

Clustering is the process of grouping objects into subsets that have meaning in the context of a particular problem. It does not rely on predefined classes. It is referred to as an unsupervised learning method because no information is provided about the "right answer" for any of the objects. Many clustering algorithms have been proposed and are used based on different applications. Sentence clustering is one of best clustering technique. Hierarchical Clustering Algorithm is applied for multiple levels for accuracy. For tagging purpose POS tagger, porter stemmer is used. WordNet dictionary is utilized for determining the similarity by invoking the Jiang Conrath and Cosine similarity measure. Grouping is performed with respect to the highest similarity measure value with a mean threshold. This paper incorporates many parameters for finding similarity between words. In order to identify the disambiguated words, the sense identification is performed for the adjectives and comparison is performed. semcor and machine learning datasets are employed. On comparing with previous results for WSD, our work has improvised a lot which gives a percentage of 91.2%


2019 ◽  
Vol 10 (9) ◽  
pp. 902-909
Author(s):  
Umbas Krisnanto ◽  
◽  
Conny Marpaung ◽  

This study aims to determine and analyze the influence of Service Quality and Customer Satisfaction on Customer Loyalty in Jabodetabek Commuter Line. The sample of this study was 50 people. Methods of collecting data by distributing questionnaires. Data analysis using the analysis used is simple linear regression, t test and coefficient of determination. The results showed 1) Service Quality has a positive and significant effect on Customer Loyalty in Jabodetabek Commuter Line, with a significance level of 0.048; and supported by the results of hypothesis testing with a t-count value of 4.433 > t-table value of 1.95, with a significance of 0.048 or < 0.05; 2) Customer Satisfaction positive and significant effect on Customer Loyalty in Jabodetabek Commuter Line, with a level significance of 0,000; and supported by the results of hypothesis testing with a t-count value of 4,969 > t-table value of 1.95, with a significance of 0,000 or < 0.05, 3) Service quality and Customer Satisfaction have a positive and significant effect on Customer Loyalty in Jabodetabek Commuter Line, with a significance level of 0,000. This means that the hypothesis H0 is rejected and Ha is accepted so that it can be concluded that service quality and customer satisfaction together have a positive and significant effect on customer loyalty in Jabodetabek Commuter Line.


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