International Journal of Research in Engineering and Applied Sciences

  • Year: 2015
  • Volume: 5
  • Issue: 7

Effect of Sample Size on Correlation and Regression Coefficients

  • Author:
  • Swati Gupta1, Mamun Ali Naji Qasem2
  • Total Page Count: 7
  • DOI:
  • Page Number: 112 to 118

1Research Scholar, Department of Education, Aligarh Muslim University, India

2Faculty of Education, IBB University, Yemen

Abstract

The study was conducted to know the effect of sample size (by doubling the data) on correlation coefficient, determination coefficient (R2), F value and Beta coefficient of multiple regression. The statistical comparative method was used in the study. The sample consisted of 100 students. Three scales i.e. ‘home environment’, ‘language creativity’ and ‘thinking strategy’ were used in the present study. The findings of the study revealed that: (1) the sample size is not affecting the value of correlation coefficient but it affects the level of significance for correlation coefficient. (2) There is no effect of sample size on determination coefficient R2) but the level of F value became high if the sample size is bigger. (3) There is no effect of sample size on Beta coefficient for independent variables in multiple regression. (4) The big sample size yields small level of significance. In other words, the level of errors became less if the sample size is bigger.

Keywords

Sample Size, Correlation Coefficient and Regression Coefficient