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Regression Analysis of Collinear Data using r-k Class Estimator: Socio-Economic and Demographic Factors Affecting the Total Fertility Rate (TFR) in India
| Content Provider | Semantic Scholar |
|---|---|
| Author | Rai, Piyush Kant Pareek, Sarla Joshi, Hemlata |
| Copyright Year | 2013 |
| Abstract | A basic assumption concerned with general linear regression model is that there is no correlation (or no multicollinearity) between the explanatory variables. When this assumption is not satisfied, the least squares estimators have large variances and become unstable and may have a wrong sign. Therefore, we resort to biased regression methods, which stabilize the parameter estimates. Ridge regression (RR) and principal component regression (PCR) are two of the most popular biased regression methods which can be used in case of multicollinearity. But the r-k class estimator, which is composed by combining the RR estimator and the PCR estimator into a single estimator gives the better estimates of the regression coefficients than the RR estimator and PCR estimator.This paper explores the multiple regression technique using r-k class estimator between TFR and other socio-economic and demographic variables and the data has been taken from the National Family Health Survey-III (NFHS-III): 29 states of India. The analysis shows that use of contraceptive devices shares the greatest impact on fertility rate followed by maternal care, use of improved water, female age at marriage and spacing between births. |
| Starting Page | 323 |
| Ending Page | 342 |
| Page Count | 20 |
| File Format | PDF HTM / HTML |
| DOI | 10.6339/JDS.2013.11(2).1030 |
| Volume Number | 11 |
| Alternate Webpage(s) | http://www.jds-online.com/files/JDS-1130.pdf |
| Alternate Webpage(s) | https://doi.org/10.6339/JDS.2013.11%282%29.1030 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
