Series Representation of Non Null Distribution of the Square of Sample Multiple Correlation Coefficient by Use of the Mellin Integral Transform

2005 ◽  
Vol 34 (3) ◽  
pp. 679-685 ◽  
Author(s):  
S.B. Nandi ◽  
S. Choudhury
Keyword(s):  
Correlation Coefficient ◽  
Integral Transform ◽  
Series Representation ◽  
Null Distribution ◽  
Multiple Correlation Coefficient ◽  
Multiple Correlation

scholarly journals Null distribution of multiple correlation coefficient under mixture normal model

2002 ◽  
Vol 30 (4) ◽  
pp. 249-255 ◽  
Author(s):  
Hydar Ali ◽  
Daya K. Nagar
Keyword(s):  
Correlation Coefficient ◽  
Mellin Transform ◽  
Statistical Tests ◽  
Null Distribution ◽  
Multiple Correlation Coefficient ◽  
Normal Model ◽  
Multiple Correlation ◽  
Multivariate Gaussian ◽  
Regression Problems

The multiple correlation coefficient is used in a large variety of statistical tests and regression problems. In this article, we derive the null distribution of the square of the sample multiple correlation coefficient,R2, when a sample is drawn from a mixture of two multivariate Gaussian populations. The moments of1−R2and inverse Mellin transform have been used to derive the density ofR2.

Comments on Huberty’s Test of the Squared Multiple Correlation Coefficient

1996 ◽  
Vol 21 (3) ◽  
pp. 288-298 ◽  
Author(s):  
Yiu-Fai Yung
Keyword(s):  
Correlation Coefficient ◽  
Null Distribution ◽  
Multiple Correlation Coefficient ◽  
Multiple Correlation ◽  
Classical Test ◽  
Chance Performance ◽  
Α Level ◽  
Better Than

It is argued that Huberty’s (1994) test for inferring a better-than-“chance” performance of the observed R2 value is inconsistent. Because there is a hidden change of the null distribution of R2, the “chance” value and the observed R2 value are not comparable in Huberty’s test. A new test is proposed for resolving these difficulties. It is shown that the new test is equivalent to an adjustment of the α-level of the classical test of the squared multiple correlation coefficient.

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

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.

scholarly journals Pengaruh Laba Bersih dan Debt to Equity Ratio terhadap Dividen pada PT. Adaro Energy Tbk 2010 - 2017

2019 ◽  
Vol 3 (2) ◽  
pp. 80-84
Author(s):  
Septi Utami ◽  
Nor Norisanti ◽  
Faizal Mulya Z
Keyword(s):  
Correlation Coefficient ◽  
Financial Statements ◽  
Multiple Correlation Coefficient ◽  
Debt Ratio ◽  
Net Income ◽  
Multiple Correlation ◽  
Net Profit ◽  
Equity Ratio ◽  
R Value ◽  
Moderate Relationship

The purpose of this study was to study the effect of net income and the Debt Ratio on Equity to Dividends at PT. Adaro Energy Tbk 2010-2017. The technique used in this study was purposive sampling. The population used in this study is the financial statements of PT. Adaro Energy Tbk, which is listed on the IDX. And the sample from financial statements is available for 32 periods (quarterly). The results of the determination coefficient test (R2) of 0.253 can be interpreted that the effect of Net Profit and Debt To Equity Ratio to Dividend is 25.3%. The remaining 74.4% is influenced by other factors not explained in this study. Based on the multiple correlation coefficient test seen from the R value of 0.503, indicating that there is a moderate relationship between Net Profit and Debt To Equity Ratio with Dividends. Based on the F test the probability value sig. 0.015 <0.05 which means that together the value of Net Profit (X1) and Debt To Equity Ratio (X2) have a significant effect on dividends (Y). Based on the t test shows that Net Profit (X1) does not significantly influence dividend (Y), Debt To Equity Ratio (X2) does not significantly influence dividend (Y).

scholarly journals Analisis Kualitas Makanan dan Perceived Value terhadap Kepuasan Konsumen pada Industri Rumah Makan

2019 ◽  
Vol 3 (2) ◽  
pp. 58-64
Author(s):  
Clara Candra Komala ◽  
Nor Norisanti ◽  
Asep M. Ramdan
Keyword(s):  
Customer Satisfaction ◽  
Correlation Coefficient ◽  
Food Quality ◽  
Consumer Satisfaction ◽  
Perceived Value ◽  
Multiple Correlation Coefficient ◽  
Coefficient Of Determination ◽  
Multiple Correlation ◽  
F Test ◽  
Effect Of Food

The purpose of this study was to analysis the effect of food quality and perceived value on consumer satisfaction in the restaurant industry. The sample used in this research was 98 respondents and data collection methods using a questionnaire. The method used in this study is the use the type of probability sampling includes in the simple random sampling. The analysis technique using validity test, reliability test, multiple linear regression analysis, including test coefficient of determination, multiple correlation coefficient, and simultaneous test (F test).The results of the test coefficient of determination seen from value (Adjusted R2) of 0,473 can be interpreted that the effect of Food Quality and Perceived Value on consumer satisfaction is 4,73%. The remaining 52,7% is influenced by other factors not explained in this study. Based on the multiple correlation coefficient test seen from the R value of 0.696, it shows that there is a strong relationship between food quality and perceived value with customer satisfaction. Based on the F test the probability value sig. 0,000 <0,05, which means that together Food Quality (X1) and Perceived Value (X2) significantly influence customer satisfaction (Y).

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