![est(ln(yield))=lna+ b1ln(ferti) +b2ln(seed rate)
+b3ln(pesticides)
ln a=9.381
b1=.288 b2=-1.706 b3=-.279
estimated[ln(yield)]=9.381+ .288ln(ferti) -1.706ln(seed rate) -.279ln(pesticides)](https://image.slidesharecdn.com/cobbdouglasproductionfunctioninspss-210524061533/85/Cobb-Douglas-production-function-in-SPSS-19-320.jpg)
Cobb Douglas production function in SPSS
- 1. Estimating COBB–Douglas Production function in SPSS Pavan Kumar Thota (M.Sc. Agricultural Statistics), B.C.K.V, Kolkata, WB, INDIA
- 2. Where, Y= dependent variable X=explanatory(independent)variable a=intercept bi are regression coefficients e=2.718…………. u=error term Follows N(0,constant variance) This function is non linear in parameters so to make it linear in parameters apply ln both sides then equation looks like Yi=a X1ib1 X2ib2 X3ib3 eui lnYi=lna+ b1lnX1i +b2lnX2i +b3lnX3i+ui
- 3. Steps 1.Goto variable view(type variables) 2.Data view(type respected data) 3.Apply logarithmic Transformation to the data 4.Go to Analyse 5.Get Output
- 4. 1.Goto variable view(type variables)
- 8. Transform compute variable
- 9. a. Give any name in target variable b. In numerical expression type LN(fertilizers),Here LN is for Natural logarithm. LG10(fertilizers) for common logarithm,LG2(fertilizers) For base 2),then click OK
- 10. then click OK
- 15. 4.Go to Analyse
- 18. 5.Get Output
- 19. est(ln(yield))=lna+ b1ln(ferti) +b2ln(seed rate) +b3ln(pesticides) ln a=9.381 b1=.288 b2=-1.706 b3=-.279 estimated[ln(yield)]=9.381+ .288ln(ferti) -1.706ln(seed rate) -.279ln(pesticides)
- 20. Thank you