Multiple Correlation Coefficient Research Articles

An adaptive adjustment to the R2 statistic in high-dimensional elliptical models

An adaptive adjustment to the R2 statistic in high-dimensional elliptical models

Pengaruh Terpaan Iklan Product Placement Tropicana Slim dalam Drama Korea Castaway Diva terhadap Minat Beli Followers akun X @kdrama_menfess

The purpose of this study was to determine how much influence the exposure of product placement advertisements in the Korean drama Castaway Diva has on the purchase interest of Tropicana Slim followers of account X @kdrama_menfess. This study uses advertising exposure theory. The population of this study was followers of account X @kdrama_menfess with a sample drawing using a purposive sampling approach of 100 respondents. The data results were obtained through a google form link with predetermined criteria. The data analysis methods used in this study were descriptive statistical tests, classical assumption tests, multiple linear regression tests, T tests, F tests, and coefficient of determination tests. This study produced the answer that the intensity and duration of advertising exposure had a significant influence on purchase interest, while the frequency did not have a significant influence and there was a significant influence of exposure to product placement advertisements in the Korean drama Castaway Diva on the purchase interest of Tropicana Slim followers of account X @kdrama_menfess. This is proven by simultaneous testing (F) where the calculated F value is much larger than the F table (20.650>2.698) and the determination coefficient test is 0.373 or 37.3% while the rest is influenced by other variables that were not examined in the study.

Lower respiratory tract microbiome dysbiosis impairs clinical responses to immune checkpoint blockade in advanced non-small-cell lung cancer.

Gut microbiome on predicting clinical responses to immune checkpoint inhibitors (ICIs) has been discussed in detail for decades, while microecological features of the lower respiratory tract within advanced non-small-cell lung cancer (NSCLC) are still relatively vague. During this study, 26 bronchoalveolar lavage fluids (BALF) from advanced NSCLC participants who received immune checkpoint inhibitor monotherapy were performed 16S rRNA sequencing and untargeted metabolome sequencing to identify differentially abundant microbes and metabolic characteristics. Additionally, inflammatory cytokines and chemokines were also launched in paired BALF and serum samples by immunoassays to uncover their underlying correlations. The omics data were separately analyzed and integrated by using multiple correlation coefficients. Multiplex immunohistochemical staining was then used to assess the immune cell infiltration after immune checkpoint blockade therapy. Lower respiratory tract microbiome diversity favoured preferred responses to ICIs. Microbial markers demonstrated microbial diversity overweight a single strain in favoured response to ICI therapy, where Bacillus matters. Sphingomonas and Sediminibacterium were liable to remodulate lipid and essential amino acid degradations to embrace progression after immunotherapies. Microbiome-derived metabolites reshaped the immune microenvironment in the lower respiratory tract by releasing inflammatory cytokines and chemokines, which was partially achieved by metabolite-mediated tumoral inflammatory products and reduction of CD8+ effective T cells and M1 phenotypes macrophages in malignant lesions. This study provided a microecological landscape of the lower respiratory tract with advanced NSCLC to ICI interventions and presented a multidimensional perspective with favoured outcomes that may improve the predictive capacity of the localized microbiome in clinical practices. Alterations of the lower respiratory tract microbiome indicate different clinical responses to ICB within advanced NSCLC. Reduced microbial diversity of lower respiratory tracts impairs anti-tumoral performances. Microbe-derived metabolites perform as a dominant regulator to remodify the microecological environment in lower respiratory tracts. Multi-omics sequencings of the lower respiratory tract possess the potential to predict the long-term clinical responses to ICB among advanced NSCLC.

Analisis Risiko Produksi Pertanian Mentimun pada Lahan Gambut di Kubu Raya

Kubu Raya Regency, particularly Rasau Jaya District, is a region in West Kalimantan dominated by peatlands. One of the leading agricultural products in this area is cucumber. However, cucumber production in Rasau Jaya District experiences significant annual fluctuations. These fluctuations are caused by various risks, such as vulnerability to climate change, which triggers pest and plant disease outbreaks, and physical and chemical damage to peatlands. This study, conducted in 2023, aims to describe cucumber production outcomes, analyze factors affecting production risks, and measure the magnitude of those risks. Data were collected from 30 respondents who are cucumber farmers in Rasau Jaya District. The research highlights that peatlands, while fertile, are highly sensitive to environmental changes, making risk management crucial for sustainable agriculture. Farmers face challenges such as limited access to agricultural inputs and unpredictable weather conditions, further amplifying the risks in cucumber farming. The socio-economic characteristics of respondents, including education levels and farming experience, also play a role in managing production risks. Data analysis was performed using the coefficient of variation (CV) method and multiple linear regression. The results show that the production risk of cucumber farming in peatlands has a CV value of 0.009, indicating a low risk (CV < 0.5). The analyzed factors include land area, seeds, labor, lime usage, and poles and strings. These factors significantly influence the production risks of cucumbers in the area. This study provides insights into the conditions and risks of cucumber cultivation in the peatlands of Rasau Jaya. The information obtained can serve as a basis for better risk management in peatland agricultural practices.

The Influence of WCTO, TATO and SG on ROA at PT Kalbe Farma Tbk

This research aims to determine the effect of Working Capital Turnover, Total Asset Turnover, and Sales Growth on Return on Assets (ROA) at PT Kalbe Farma Tbk. Using Quantitative Methods. Sample Financial Report of PT Kalbe Farma Tbk. for 10 years. Data analysis uses descriptive statistical tests, classical assumption tests, multiple regression analysis, hypothesis testing and coefficient of determination tests. The partial test results of Working Capital Turnover do not have a significant effect on Return on Assets. Total Asset Turnover has a significant effect on Return on Assets. Sales Growth has no effect on Return on Assets. The results of simultaneous testing of Working Capital Turnover, Total Asset Turnover, and Sales Growth have a significant effect on Return on Assets. The results of the Coefficient of Determination test show that Adjust R Square is 0.949. Working Capital Turnover, Total Asset Turnover, and Sales Growth on Return on Assets have a contribution of 94 .9%, Meanwhile 5.1% was influenced by other variables not analyzed in this study.

KORELASI RADIASI DAN LAMA PENYINARAN MATAHARI TERHADAP PERTUMBUHAN DAN PRODUKSITANAMAN SORGUM (Sorghum bicolor L. Moench)

This study aims to investigate the T-test, F-test, and correlation test of radiation and duration of sunlight exposure on the growth and production of sorghum plants. The research was conducted at the Meteorology, Climatology, and Geophysics Agency (BMKG) Climate Station in Indrapuri, Aceh Besar, from March to June 2023.The study employed Multiple Linear Regression Analysis, T-test, F-test, Correlation Coefficient, and Determination Coefficient. The results indicate that radiation and duration of sunlight exposure significantly affect plant height, number of leaves, and sorghum production. Regression analysis also shows that radiation and duration of sunlight exposure have a significant impact on all parameters studied. The T-test reveals that radiation does not have a partial effect on plant height and the number of leaves, but it does have a partial effect on weight and wet weight. On the other hand, the duration of sunlight exposure has a partial effect on plant height and the number of leaves, but it does not have a partial effect on the wet weight of samples and the wet weight. The simultaneous F-test analysis shows that radiation and duration of sunlight exposure have a simultaneous effect on plant height. Correlation analysis shows that plant height, number of leaves, wet weight per sample, and wet weight per plot are related.

ANALYZING THE INFLUENCE OF VARIOUS FACTORS ON GENERATION Z'S BEAUTY PRODUCT PURCHASE BEHAVIOR

In the digital era, Generation Z predominantly relies on digital platforms to select beauty products, both local and international, significantly impacting their purchasing decisions. This study investigates the influence of social media marketing, brand awareness, quality, price, online customer reviews, and discounts on Generation Z’s purchasing behaviours using multiple linear regression and correlation coefficients, analysed with R Studio and SPSS Statistics 25. A quantitative approach was employed, utilizing a questionnaire to collect data from 213 respondents. The results indicate that for international beauty products, social media marketing, brand awareness, product quality, and discounts are significant predictors of purchase intention (R² = 0.832). Conversely, for local beauty products, the key factors influencing purchase decisions are quality, price, online customer reviews, and discounts (R² = 0.790). These findings highlight that the determinants of Generation Z’s purchasing decisions vary based on the product type. While international products are more influenced by marketing and branding, local products are more affected by price and customer feedback. These insights are crucial for beauty brands aiming to tailor their marketing strategies effectively to engage Generation Z.

THE INFLUENCE OF ISLAMIC BUSINESS ETHICS AND SERVICE QUALITY ON CUSTOMER SATISFACTION OF IKHLAS BERAMAL BANGKALAN SHARIA INN

This research aims to determine the influence of Islamic business ethics and service quality on customer satisfaction at the Ikhlas Beramal Bangkalan Sharia Inn. The population in this study was customers who stayed at the Ikhlas Beramal Bangkalan Sharia Inn. From a population of 440 people, a sample of 100 respondents was selected which was determined using Slovin's formula. Data were retrieved using a questionnaire with a likert scale. Data analysis includes instrument tests, classical assumption tests, multiple linear regression, T tests, F tests, and determination coefficients. The results of this research test show that Islamic business ethics does not partially affect customer satisfaction, while service quality partially affects customer satisfaction. However, the results of the simultaneous F test of the two variables together influence customer satisfaction. The conclusion simultaneously, Islamic business ethics and service quality have a significant influence on customer satisfaction, while partially only service quality has an influence on customer satisfaction Sincerity Sharia Inn for Charity in Bangkalan.

To Identify and Compare ActivPAL Objectively Measured Activity Levels With Self-Reported Activity From the International Physical Activity Questionnaire in Older Adults With Intellectual Disability.

The positive impact of physical activity on health is widely known. A comparison between activPAL objective measures and International Physical Activity Questionnaire short form (IPAQ-SF) self-reported activity levels was completed with older adults with intellectual disability. Understanding differences between the two methodologies will better support the interpretations of findings and recommendations. ActivPAL measures including intensity, time and type were considered for 72 participants. Similarly, the IPAQ-determined measures were investigated. Implications of different numbers of activPAL valid days were considered. Comparisons between the activPAL and IPAQ-SF scores were examined using multiple correlation coefficients. Low to moderate agreement was found between the activPAL and IPAQ-SF using Spearman's Rho and Pearson's correlation coefficients. The IPAQ-SF may not be the optimal tool for the accurate determination of activity levels in this population.

Analisis Inovasi Produk, Orientasi Pasar dan Strategi Bersaing dalam Meningkatkan Kinerja Bisnis Coffee Shop Survei pada Coffee Shop di Kota Sukabumi

The growth of Coffee shops in Sukabumi City can be said to be high for a small city, there are already 54 Coffee shops which previously only had 37 Coffee shops. This indicates the high growth of Coffee shops in Sukabumi City. However, it also indicates the tight competition of Coffee shops in Sukabumi City. This researcher aims to determine how much influence product innovation, market orientation and competitive strategy have in improving business performance in coffee shops. This researcher uses descriptive and associative methods with a quantitative approach. The population in this study was coffee shops in Sukabumi City as many as 54 coffee shops. The data analysis techniques used in this study are the classical assumption test, multiple correlation coefficient, determination coefficient, multiple linear regression, and simultaneous hypothesis testing (F Test) and partially (T Test). The results of this study indicate that product innovation, market orientation and competitive strategy have a significant effect on business performance, this is evidenced by the calculated F 80.307> F table 2.790 which means the calculated F value is greater than the F table. Partially, product innovation has a significant effect on business performance, this is evidenced by the T count of 8.485> T table 1.674, which means that T count is greater than T table. Market orientation has a significant effect on business performance, this is evidenced by the T count of 2.604> T table 1.674, which means that T count is greater than T table. Then the competitive strategy does not have a significant effect, this is evidenced by the T count of 0.220> T table 1.674, which means that T count is smaller than T table with an error level of 0.05.

Terpaan Postingan Voucher E-Commerce pada Akun X @discountfess terhadap Pembelian Impulsif Produk Kecantikan Followers

Information that often attracts users of social media account X is information related to promotions. Information about promotions shared by the @discountfess autobase account can lead to followers' impulse buying behavior on beauty products. This study uses the S-O-R theory (Stimulus-Organism-Response). The purpose of this study is to determine whether there is an effect of exposure to e-commerce voucher information content from account X @discountfess on impulse purchases of beauty products on followers. The population of this study were followers of the X @discountfess account with sampling using purposive sampling. This study obtained 400 respondents from the questionnaire. The data analysis methods used in this study are descriptive statistical tests, classical assumption tests, multiple linear regression tests, t tests, F tests, and coefficient of determination ) tests. This study shows several results, namely the absence of the influence of frequency and duration but the influence of attention on exposure to e-commerce voucher posts on impulsive purchases of beauty products, and the influence of exposure to e-commerce voucher posts on impulsive purchases of beauty products on followers.

Pengaruh Digital Marketing Dan Digital Service Terhadap Kinerja UMKM

The research conducted by the author aims to determine and analyze the influence of digital marketing and digital services individually and together on the performance of MSMEs of female entrepreneurs in Sirah Pulau Village, Merapi Timur District, Lahat. The research method used in this study is quantitative, using a questionnaire distributed to respondents. Data quality testing using validity tests, reliability tests, and classical assumption tests with normality test formulas, heteroscedasticity tests, and multicollinearity tests. The analysis used is descriptive analysis and inferential analysis using statistical calculations with multiple regression formulas, partial tests, simultaneous tests and coefficients of determination. The results of the discussion obtained digital marketing has a significant effect on the performance of MSMEs in Women Entrepreneurs in Sirah Pulau Village, Merapi Timur District, Lahat. Digital service has a substantial effect on the performance of MSMEs in Women Entrepreneurs in Sirah Pulau Village, Merapi Timur. District, Lahat. Digital marketing and digital services significantly affect the performance of MSMEs in Women Entrepreneurs in Sirah Pulau Village, Merapi Timur District, Lahat.

A032: Archery Consistency Assessment by Using Inertial Measurement Unit (IMU)

Background/Purpose: Nowadays, the primary methods for evaluating archery techniques, especially the consistency, include force plates, motion capture systems, etc. However, these methods are characterized by their high cost, slow feedback, and lack of portability. Therefore, this study attempted to evaluate the consistency of archery techniques by using Inertial Measurement Unit (IMU) and to verify its feasibility. Method: Six Chinese national archery team archers (3 men, 3 women, elite) participated in the 50m-target field test by using 5 IMUs (Xsens-DOT, Netherlands; 60Hz) and 8-lens Qualisys Motion Capture Equipment (Qualisys-OQUS-700, Sweden; 200Hz). Phases were divided based on Qualisys data, and the Coefficient of Multiple Correlation (CMC) was used to verify the feasibility of inertial sensor in archery. DTW-distance, which was calculated by Dynamic Time Warping (DTW) algorithm, was used to evaluate the consistency of archery. One-way ANOVA was used to compare the DTW-distance in different body parts. The paired T-test was used to compare the DTW-distance between ten-ring groups and non-ten-ring groups. The significance level was set at 0.05. Results: In the comparison of acceleration parameters obtained by Xsens-DOT and Qualisys, it was found that most CMC values were greater than 0.75 (with high similarity), indicating that the acceleration curves obtained by the two systems had high similarity. Moreover, DTW-distance was used to evaluate movement consistency, and it was found that the consistency of lumbar was better than other parts (P < 0.05). Additionally, there was no statistical significance in the movement consistency between the ten-ring group and non-ten-ring group of Chinese top archers (P > 0.05). Conclusion: Compared with motion capture system, IMU and motion capture system have high similarity in acquiring acceleration parameters, which can be used for technical feedback of archery daily training. Additionally, the DTW-distance of lumbar acceleration parameters in the aiming phase can be used as a feedback index for archery techniques. Future research can follow up with larger sample sizes and examine the IMUs' prolonged validity and feasibility in archery.

The Influence of Prices and Promotions on Interest in Buying Electric Bikes in Telering Jatiwangi, Jatiwangi Subdistrict, Majalengka District

Telering Jatiwangi Majalengka located at Jl. Ahmad Yani No.48 Sutawangi, Jatiwangi District, Majalengka Regency, West Java, has been since December 2012. The establishment of Telering Jatiwangi aims not only to meet consumer needs but also to maximize profits. To achieve these objectives, it is essential to market product at affordable prices and implement effective promotional strategies to attract costumers to purchase Electric Bicycles at Telering Jatiwangi. The purpose of this study is to examine the effects of priceand promotion on the interest in buying Electric Bicycles at Telering Jatiwangi, Jatiwangi District, Majalengka Regency. The research employs a quantitative approach with both descriptive and verifiable analysis. The findings reveal that the multiple correlation coefficient (simultaneous) is 0.844, indicating a very strong relationship between price, promotion and buying interest. Furthermore, the analysis shows that price and promotion exert a positive and significant influence on buying interest, with an F value of 98.738 > 3.11 and a significance value of < 0.05, which is 0.000 < 0.05. This suggests that as price and promotion improve, so does the buying interest at Telering Jatiwangi, Majalengka Regency. Overall, it can be concluded that the variable of price and promotion can be effectively combined to measure buying interest.

The Influence of Discipline, Loyalty, and Work Motivation on Employee Performance in Financing Distribution at PT Permodalan Nasional Madani Pematang Siantar Branch Office

This study focuses on PT. Permodalan Nasional Madani (PNM) Pematang Siantar Branch, with independent variables of discipline, loyalty, and work motivation, and the dependent variable being employee performance. The primary aim is to evaluate the impact of these three independent variables on employee performance in the context of financing distribution. The sample consists of 100 PNM employees from the Pematang Siantar Branch, selected using a census method, with data analysis conducted through SEM using SmartPLS. This includes multiple linear regression, correlation, and determination coefficients. Data were collected through questionnaires distributed to all sample participants. The study results indicate that discipline does not influence employee performance. However, loyalty has a positive and significant effect on employee performance, as does work motivation.

Sample Size and Statistical Power Calculation in Multivariable Analyses: Development and Implementation of "SampleSizeMulti" Packages in R

This paper presents advanced methodological approaches and practical tools for sample size calculation in epidemiological studies involving multivariable analyses. Traditional sample size calculation methods often fail to account for the complexity of modern statistical analyses, particularly regarding the correlation between covariates in multivariable models. We introduce a series of R packages (SampleSizeMulti) designed to address these limitations. These packages offer two distinct calculation approaches: one based on the multiple correlation coefficient between covariates (rho-based method) and another utilizing standard errors from previous studies (SE-based method). These complementary approaches provide comprehensive solutions for different association measures commonly used in epidemiological research: prevalence ratios, odds ratios, risk ratios, and hazard ratios. The rho-based method innovatively incorporates the explicit consideration of the multiple correlation coefficient between covariates, significantly impacting required sample sizes in multivariable analyses. The SE-based method leverages information from previous studies through their confidence intervals, offering an alternative when correlation estimates are unavailable but published results exist. Furthermore, both approaches integrate crucial logistical considerations, including rejection rates, eligibility criteria, and expected losses to follow-up, providing researchers with realistic estimates of recruitment requirements and timelines. Seven detailed case studies covering various epidemiological study designs and analytical scenarios demonstrate the practical application of these methods. These examples illustrate how correlation values, standard errors, and logistical factors influence sample size calculations and study planning. The implementation in R ensures accessibility and reproducibility, while the incorporation of logistical planning tools bridges the gap between theoretical calculations and practical research requirements. These methods represent a significant advancement in study design methodology, potentially improving the quality and efficiency of epidemiological research by ensuring adequate statistical power while optimizing resource utilization.

Asymptotic confidence interval for R 2 in multiple linear regression

Following White's approach of robust multiple linear regression [White H. A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica, 1980;48(4):817–838], we give asymptotic confidence intervals for the multiple correlation coefficient R 2 under minimal moment conditions. We also give the asymptotic joint distribution of the empirical estimators of the individual R 2 's. Through different sets of simulations, we show that the procedure is indeed robust (contrary to the procedure involving the near exact distribution of the empirical estimator of R 2 is the multivariate Gaussian case) and can be also applied to count linear regression. Several extensions are also discussed, as well as an application to robust screening.

Sustainability or Technology - What Drives Consumer Purchase Behaviour in Digital Era?

Retail industry is undergoing transformation. Many changes are happening in this industry due to change in consumer behaviour. Every retailer is trying to understand, what drives the customers to select the retailer? It is technology, sustainability or both. Retailers are trying to identify the right technology for their business, which will delight customers and at the same trying to find out how to achieve sustainability in their business. The purpose of this paper is to find answers for these questions and help the retailers to invest their money wisely and satisfy their customers and remain relevant in the business. The outcomes of the study exhibit the shifting trend among customers which help the companies to cater the altering preferences of their customers. A well-structured questionnaire was developed and collected the primary data from 368 respondents adopting Convenient sampling method through online. Questionnaire was analysed by Factor extraction principal component analysis, Exploratory Factor Analysis, Eigen values and scree plot. The relation between the independent and dependent variables was established with multiple regression analysis. Each factor effect on sustainability and Advanced digitalisation independently was tested for its significance by adopting t – test statistic. The aggregate effect of all independent variables in each equation, in multiple regression are shown by the multiple correlation coefficient (R2). This multiple relation is also tested by adapting the F – test statistic.

Cybersecurity Practices and International Relations Performance in Rwanda. A Case of Broadband Systems Corporation

Purpose: The general objective of the research was to assess the effect of cybersecurity practices on international relations performance in Rwanda, a case of Broadband Systems Corporation. Specifically, the study determined the effect of cybersecurity policies on the international relations performance in Rwanda, to find out the effect of cybersecurity technology on the international relations performance in Rwanda and to assess the effect of cybersecurity training on the international relations performance in Rwanda. Methodology: Descriptive, correlational, qualitative and quantitative based on primary and secondary data were used in the study. This research aimed to gather data from 229 employees, stakeholders of Broadband Systems Corporation, including company officials, cybersecurity staff and beneficiaries. Using Slovin's approach, the researcher determined the number of participants needed for the sample. Researcher had 146 participants in their sample, out of a total population of 229. The researcher used questionnaires question to gather primary data. The researcher analyzed the data using SPSS (Statistical Package for Social Scientists, version 25) to grasp statistics such as percentage, mean, standard deviation, and frequency. Bivariate correlation analysis was performed to investigate the hypotheses. Findings: The model demonstrates a multiple correlation coefficient (R) of 0.877, signifying a robust positive correlation among cybersecurity policies, cybersecurity technology, and cybersecurity training with the dependent variable, international relations performance in Rwanda. Analysis of Variance results for the regression analysis shows the F-value is 141.583, which indicates a highly significant model fit. The significance level (Sig.) is .000, demonstrating that the predictors cybersecurity technology, cybersecurity policies, and cybersecurity training significantly contribute to explaining variations in international relations performance. Unique Contribution to Theory, Practice and Policy: BSC should implement continuous cybersecurity awareness training to help employees recognize and respond to common cyber threats.

Analisis Likuiditas, Tax Avoidance, Pertumbuhan Penjualan dan Pertumbuhan Laba Terhadap Nilai Perusahaan: Studi Keuangan pada Perusahaan Subsektor Tekstil dan Garmen yang Terdaftar di Bursa Efek Indonesia Tahun 2022

The aim of this research is to find out how the influence of Liquidity, Tax Avoidance, Sales Growth and Profit Growth on Company Value is described. The population in this research is textile and garment sub-sector companies listed on the Indonesia Stock Exchange for the 2022 period. The method used is a quantitative method with an associative descriptive approach. With a total sample of 19 with saturated sampling. Using secondary data collection techniques and descriptive statistical analysis, classic assumption tests with normality test, multicollinearity test, heteroscedasticity test, coefficient of determination, multiple correlation coefficient, multiple linear regression test, partial test (t) and simultaneous test (f). The statistical results of the f test (Simultaneous Test) show that there is a simultaneous and significant influence of the variables Liquidity, Tax Avoidance, Sales Growth, Profit Growth on Company Value. Based on the statistical results of the t test (partial test), liquidity has a negative and significant effect on Company Value. Meanwhile, Tax Avoidance has a positive and insignificant effect on Company Value. Furthermore, Sales Growth has a positive and significant effect on Company Value. And Profit Growth has a negative and insignificant effect on Company Value.