A Partial Correlation Coefficient and Coefficient of Determination for Multivariate Normal Repeated Measures Data

The aim of the paper is to present the basic measures related to the analysis of relationships between quantitative variables used in econometric modelling and their selected applications. The following measures are discussed: the Pearson correlation coefficient, the multivariate correlation coefficient, coefficient of determination, partial correlation coefficient and semi-partial correlation coefficient. A homogeneous approach is applied to the measures presented. Each is defined as a linear correlation coefficient of relevant vectors derived from regression equations. Additionally, mutual relations between the coefficients are described. Bordered matrices have been applied to the calculations, which significantly simplified the process, while the Statistica 13.3 PL program was used to verify the correctness of the calculations. The issue is illustrated in the model of regression of salary growth in Poland in the years 2001–2019 with four covariates, estimated using the least squares method.

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Pengaruh Kecemasan Matematika dan Motivasi Belajar terhadap Prokrastinasi Akademik

JURNAL PENELITIAN PENDIDIKAN MATEMATIKA DAN SAINS ◽

10.26740/jppms.v3n1.p42-45 ◽

2020 ◽

Vol 3 (1) ◽

pp. 42

Author(s):

Nanda Mellenia Amin Putri ◽

Ika Kurniasari

Keyword(s):

Correlation Coefficient ◽

Mathematics Anxiety ◽

Partial Correlation ◽

Mathematics Learning ◽

Multiple Correlation Coefficient ◽

Learning Motivation ◽

Coefficient Of Determination ◽

Academic Procrastination ◽

Negative Effects ◽

Partial Correlation Coefficient

Abstrak — Prokrastinasi adalah penundaan yang disengaja dalam mengerjakan suatu pekerjaan. Efek dari prokrastinasi dapat berakibat negatif pada emosi, mengakibatkan stress, dan akan mengganggu kegiatan sehari-hari. Jenis prokrastinasi yang berhubungan dengan kerja akademik adalah prokrastinasi akademik. Dengan mengingat pentingnya matematika dalam sehari-hari, peserta didik diharapkan dapat meminimalisir perilaku prokrastinasi akademik yang berefek negatif pada keoptimalan kerja akademik dan efikasi akademik pada matematika. Faktor-faktor yang dapat mempengaruhi tinggi rendahnya prokrastinasi akademik adalah kecemasan matematika dan motivasi belajar. Kecemasan matematika adalah kecemasan yang disebabkan oleh peristiwa yang berhubungan dengan matematika yang akan terjadi di masa yang akan datang. Sedangkan motivasi belajar adalah dorongan-dorongan yang membuat seseorang melakukan kegiatan belajar. Tujuan penelitian ini adalah untuk mengetahui pengaruh dari kecemasan matematika dan motivasi belajar terhadap prokrastinasi akademik. Dengan sampel 31 peserta didik SMAN 1 Krian, data dikumpulkan dengan menggunakan angket kecemasan matematika, angket motivasi belajar, dan angket prokrastinasi akademik. Pengaruh kecemasan matematika dan motivasi belajar terhadap prokrastinasi akademik dicari dengan menggunakan koefisien korelasi dan koefisien penentu. Koefisien korelasi berganda kecemasan matematika dan motivasi belajar dengan prokrastinasi akademik adalah 0,451 dengan koefisien penentu berganda 20,3%. Kemudian koefisien korelasi parsial kecemasan matematika dengan prokrastinasi akademik apabila motivasi belajar dikontrol adalah 0,423 dan koefisien penentu parsial sebesar 17,89%. Koefisien korelasi parsial motivasi belajar dengan prokrastinasi akademik apabila kecemasan matematika dikontrol adalah -0,141 dan koefisien penentu parsialnya adalah sebesar 1,98%.Kata Kunci: kecemasan matematika, motivasi belajar, prokrastinasi akademik. Abstract — Procrastination is an intentional delay in doing activities. Procrastination can cause negative effects on emotions, stress, and interfering with everyday life. Procrastination type that related to academic work is academic procrastination. On a more important note, we need to keep in mind how important mathematics is in our lives and students are expected to minimalize academic procrastination behavior that could make academic works less optimal and negative effects on academic efficacy on mathematics learning. Many factors could contribute to academic procrastination levels. Two of them are mathematics anxiety and learning motivation. Mathematics anxiety is an anxious feeling caused by events related to mathematics that will happen in the future. Whilst learning motivation is the stimulus that drives a person to learn. The aim of this research is to find out the relationship between mathematics anxiety and learning motivation with academic procrastination. Using 31 students of SMAN 1 Krian as the sample, the data is gathered with a mathematics anxiety questionnaire, learning motivation questionnaire, and academic procrastination questionnaire. The multiple correlation coefficient of mathematics anxiety and learning motivation with academic procrastination is 0,451 while the coefficient of determination is 20,3%. The partial correlation coefficient of mathematics anxiety with academic procrastination is 0,423 while the coefficient of determination is 17,89%. Lastly, the partial correlation coefficient of learning motivation with academic procrastination is -0,141 while the coefficient of determination is 1,98%.Keywords: mathematics anxiety, learning motivation, academic procrastination.

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IMBALAN DAN GAYA KEPEMIMPINAN PENGARUHNYA TERHADAP KEPUASAN KERJA KARYAWAN DI BALAI BESAR INDUSTRI HASIL PERTANIAN BOGOR

Jurnal Ilmiah Binaniaga ◽

10.33062/jib.v1i01.146 ◽

2018 ◽

Vol 1 (01) ◽

pp. 17

Author(s):

Ramlan Ruvendi

Keyword(s):

Job Satisfaction ◽

Multiple Regression ◽

Correlation Coefficient ◽

Analysis Of Variance ◽

Partial Correlation ◽

Multiple Correlation Coefficient ◽

Multiple Correlation ◽

Average Value ◽

Partial Correlation Coefficient

The study was carried out to find out whether there were influence and correlation bet-ween : a) Reward received by the IRDABI’s employees on their job satisfaction. b) style of the leader-ship on the job satisfaction. c) Reward together with style of leadership on the job satisfaction of IR-DABI’s employees.The result of the study showed that there was significant correlation and influence between the reward on the job satisfaction with was shown by the value of partial correlation coefficient of 0.6185 and coefficient of multiple regression for reward variable (β1) of 0.412. The influence of variable for style of leadership on the job satisfaction was also significant with the partial correlation coefficient of 0.5495 and coefficient of multiple regression (β2) of 0.355.In the test of Analysis of Variance (ANOVA) on the equation of multiple regression show that F-value was bigger that F-table (F = 58.97 > F-table = 3.098) or the Probability Value smaller than 0.05. At showed that there was significant correlation and influence between reward variables all together with style of leadership on the job satisfaction of employees. The value of multiple correlation coefficient (R) was 0.751 and R Square (R2) was 0.564. Value of R Square (0.564) meant that 56.5% of variation pro-portion total of job satisfaction can be eliminated of equation of multiple regression was used as the es-timator rather than using average value of job satisfaction as the estimator.

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Synovial fluid but not plasma interleukin-8 is associated with clinical severity and inflammatory markers in knee osteoarthritis women with joint effusion

Scientific Reports ◽

10.1038/s41598-021-84582-2 ◽

2021 ◽

Vol 11 (1) ◽

Author(s):

María García-Manrique ◽

Joan Calvet ◽

Cristóbal Orellana ◽

Antoni Berenguer-Llergo ◽

Silvia Garcia-Cirera ◽

...

Keyword(s):

Synovial Fluid ◽

Knee Osteoarthritis ◽

Correlation Coefficient ◽

Inflammatory Markers ◽

Partial Correlation ◽

Statistical Significance ◽

Clinical Severity ◽

Joint Effusion ◽

Cross Sectional ◽

Partial Correlation Coefficient

AbstractSeveral cytokines and adipokines are related to clinical severity and progression in knee osteoarthritis. The aim of this study was to evaluate the associations of IL-8 with clinical severity and with local and systemic adipokines and cytokines. This is a Cross-sectional study including 115 women with symptomatic primary knee osteoarthritis with ultrasound-confirmed joint effusion. Age, symptoms duration and body mass index were collected. Radiographic severity was evaluated according to Kellgren–Lawrence. Pain and disability were assessed by Lequesne and Knee injury and Osteoarthritis Outcome Score pain, symptoms and function scales. Three inflammatory markers and five adipokines were measured by ELISA in serum and synovial fluid. Partial correlation coefficient (PCC) and corresponding 95% confidence interval were used to evaluate association. Synovial fluid IL-8 was significantly associated with clinical severity scales. After controlling for potential confounders, associations measured by a Partial Correlation Coefficient (PCC) remained essentially unaltered for Lequesne (PCC = 0.237), KOOS pain (PCC = − 0.201) and KOOS symptoms (PCC = − 0.209), KOOS function (PCC = − 0.185), although the later did not reach statistical significance. Also in synovial fluid samples, associations were found between IL-8 and TNF (PCC = 0.334), IL6 (PCC = 0.461), osteopontin (PCC = 0.575), visfatin (PCC = 0.194) and resistin (PCC = 0.182), although significance was not achieved for the later after statistical control for confounders. None of these associations were detected in serum. In conclusion, IL-8 was associated with clinical severity, inflammatory markers and adipokines in synovial fluid, but not in blood. Although the reported associations are weak to moderate in magnitude, these findings reinforce the notion that local and not systemic inflammation is more relevant to clinical severity in knee OA women with joint effusion.

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Thyroid function in hyperemesis gravidarum

Acta Endocrinologica ◽

10.1530/acta.0.1200155 ◽

1989 ◽

Vol 120 (2) ◽

pp. 155-160 ◽

Cited By ~ 46

Author(s):

R. Swaminathan ◽

R. K. Chin ◽

T. T. H. Lao ◽

Y. T. Mak ◽

N. S. Panesar ◽

...

Keyword(s):

Correlation Coefficient ◽

Partial Correlation ◽

Hyperemesis Gravidarum ◽

Zinc Content ◽

Normal Pregnancy ◽

Uncomplicated Pregnancy ◽

Wide Variability ◽

Molecular Variant ◽

Tissue Marker ◽

Partial Correlation Coefficient

Abstract. Plasma total T4 (TT4), T3 (TT3), free T4 (FT4), free T3 (FT3), thyroxine binding globulin, hCG, and erythrocyte zinc content were measured in 43 women with uncomplicated pregnancy and in 71 patients admitted with hyperemesis gravidarum. Plasma concentration of thyroid hormones in hyperemesis subjects showed wide variability and 32% of subjects had high TT4 (higher than mean +2 sd of normal pregnant subjects), 33% had high FT4, 20% had high TT3, and 20% had high FT3. Red cell zinc content, a tissue marker of thyroid status, in the hyperthyroxinemic subjects was not different from that of normothyroxinemic hyperemesis subjects or of subjects with uncomplicated pregnancy. The elevated TT4 concentration decreased spontaneously in all but two of the hyperemesis subjects to normal pregnant levels. The plasma FT4 concentration at presentation correlated with plasma hCG in hyperemesis gravidarum (partial correlation coefficient r = 0.411, P< 0.01), but not in normal pregnancy (partial correlation coefficient r = 0.043) after allowing for the effect of gestational age. We conclude that approximately one third of hyperemesis subjects show transient hyperthyroxinemia and suggest that hCG or a molecular variant of hCG may stimulate the thyroid gland.

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semi-partial correlation coefficient

The SAGE Dictionary of Statistics ◽

10.4135/9780857020123.n523 ◽

2015 ◽

Keyword(s):

Correlation Coefficient ◽

Partial Correlation ◽

Partial Correlation Coefficient

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Partial Correlation Coefficient

Encyclopedia of Systems Biology ◽

10.1007/978-1-4419-9863-7_373 ◽

2013 ◽

pp. 1634-1635 ◽

Cited By ~ 1

Author(s):

Jiguang Wang

Keyword(s):

Correlation Coefficient ◽

Partial Correlation ◽

Partial Correlation Coefficient

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Simultaneous Measurement of Ear Canal Movement, Electromyography of the Masseter Muscle and Occlusal Force for Earphone-Type Occlusal Force Estimation Device Development

Sensors ◽

10.3390/s19153441 ◽

2019 ◽

Vol 19 (15) ◽

pp. 3441

Author(s):

Kurosawa ◽

Taniguchi ◽

Momose ◽

Sakaguchi ◽

Kamijo ◽

...

Keyword(s):

Correlation Coefficient ◽

Masseter Muscle ◽

Partial Correlation ◽

Force Estimation ◽

Ear Canal ◽

Basic Study ◽

Occlusal Force ◽

Absolute Value ◽

The Absolute ◽

Partial Correlation Coefficient

We intend to develop earphone-type wearable devices to measure occlusal force by measuring ear canal movement using an ear sensor that we developed. The proposed device can measure occlusal force during eating. In this work, we simultaneously measured the ear canal movement (ear sensor value), the surface electromyography (EMG) of the masseter muscle and the occlusal force six times from five subjects as a basic study toward occlusal force meter development. Using the results, we investigated the correlation coefficient between the ear sensor value and the occlusal force, and the partial correlation coefficient between ear sensor values. Additionally, we investigated the average of the partial correlation coefficient and the absolute value of the average for each subject. The absolute value results indicated strong correlation, with correlation coefficients exceeding 0.9514 for all subjects. The subjects showed a lowest partial correlation coefficient of 0.6161 and a highest value of 0.8286. This was also indicative of correlation. We then estimated the occlusal force via a single regression analysis for each subject. Evaluation of the proposed method via the cross-validation method indicated that the root-mean-square error when comparing actual values with estimates for the five subjects ranged from 0.0338 to 0.0969.

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Subjective and objective assessment of oxaliplatin-induced peripheral neuropathy.

Journal of Clinical Oncology ◽

10.1200/jco.2015.33.3_suppl.772 ◽

2015 ◽

Vol 33 (3_suppl) ◽

pp. 772-772

Author(s):

Teppei Yamada ◽

Yoichiro Yoshida ◽

Naoya Aisu ◽

Taisuke Matsuoka ◽

Daibo Kojima ◽

...

Keyword(s):

Peripheral Neuropathy ◽

Correlation Coefficient ◽

Partial Correlation ◽

Objective Assessment ◽

Critical Factor ◽

Weak Correlation ◽

Analog Scale ◽

Mean Values ◽

And Gender ◽

Partial Correlation Coefficient

772 Background: Oxaliplatin-induced peripheral neuropathy (PN), for which no therapy has been firmly established, is a critical factor that makes the continuation of chemotherapy difficult. Numbness and pain are currently evaluated using subjective methods such as the visual analog scale (VAS). However, because the assessment of pain can greatly vary depending on the mood and physical state of the patient at the time of assessment, it is best to objectively evaluate pain. Therefore, a method for objective assessment is also required to evaluate drugs designed to ameliorate PN. Pain Vision PS-2100 (PV) is an analytical instrument that was designed to quantitatively and objectively assess sense perception and nociception in a patient. Although it is used in the field of anesthesiology, there have been no reports concerning its use for the assessment of oxaliplatin-induced PN. Methods: The present study examined the correlation of subjective and objective assessment results using VAS and PV, respectively, for cases of oxaliplatin-induced PN. Subjects comprised 58 patients with colorectal cancer who underwent chemotherapy at the Fukuoka University. Results: Both VAS and PV assessments of PN were performed 173 times in total, and partial correlation coefficient analysis adjusted by subject and gender. The VAS and PV mean values of PN were 20.5 (0–100) and 27.9 (0–416), respectively. The partial correlation coefficient was 0.258 (p=0.0053). Conclusions: Although both assessments evaluated the same events, no strong correlation was observed between the results and a weak correlation was observed between VAS and PV. These results suggest that because VAS and PV each measure different factors, both subjective and objective assessments of drugs designed to ameliorate oxaliplatin-induced PN are necessary.

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Correlation Analysis Based on the Performance and Structural Parameters of Woven Fabrics for Bedding

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.796.240 ◽

2013 ◽

Vol 796 ◽

pp. 240-244

Author(s):

Xun Ke Sun ◽

Tao Qiu ◽

Mei Jun Chen ◽

Cen Feng

Keyword(s):

Correlation Analysis ◽

Correlation Coefficient ◽

Performance Indicators ◽

Partial Correlation ◽

Structural Parameters ◽

Scientific Evidence ◽

Woven Fabrics ◽

Main Factors ◽

Spss Software ◽

Partial Correlation Coefficient

Typical woven fabrics for bedding were selected from the market in this paper. Based on test and analysis results of the structural parameters, the relevant performance indicators were measured in consideration of mechanical properties,comfort and style of fabrics, and the test data were systematically integrated and the relevant quantitative data were ultimately obtained. Meanwhile, Fabric Assurance Tester was used to determine the style of the fabrics and tested indicators were chosen, following with normalized statistics and processing. In addition, SPSS software was applied for the correlation analysis between fabric properties and structural parameters through the correlation and partial correlation analysis.According to the results of correlation coefficient,partial correlation coefficient, the paper revealed the intrinsic link between the fabric’s structural parameters and its properties. As to the main factors of the structural parameters which greatly affect the performance of the fabrics, they will provide scientific evidence for the design and development of fabric.

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