[Gretl-users] Re: grouped data logit

Thanks for your reply. The following is the output by gujarati and porter. I am finding it difficult to understand the weight (w) here and interpreting the coefficients. Any help? ˆ ∗ Li = −1.59474√wi + 0.07862Xi∗ se = (0.11046) (0.00539) t = (−14.43619) (14.56675) R2 = 0.9642 X Ni ni pi_hat 1 - pi_hat pi_hat / (1 - pi_hat) Li = ln(pi_hat / (1 - pi_hat)) wi = Ni pi_hat (1 - pi_hat) sqrt(wi) = sqrt(Ni pi_hat (1 - pi_hat)) Li* = Li sqrt(wi) Xi* = Xi sqrt(wi) 6 40 8 0.20 0.80 0.25 -1.3863 6.40 2.5298 -3.5077 15.1788 8 50 21 0.42 0.58 0.72 -1.1526 9.12 3.0199 -3.4801 24.1592 10 60 18 0.30 0.70 0.43 -0.8472 12.60 3.5496 -3.0072 35.4960 13 80 33 0.35 0.65 0.54 -0.6190 18.20 4.2661 -2.6404 55.4593 15 100 45 0.45 0.55 0.82 -0.2007 24.75 4.9749 -0.9985 74.6235 20 70 51 0.51 0.49 1.04 0.0500 17.49 4.1816 0.1673 83.6506 25 65 36 0.60 0.40 1.50 0.4055 15.60 3.9497 1.6012 98.7425 30 50 33 0.66 0.34 1.94 0.6633 11.20 3.3496 2.2218 100.4880 35 40 30 0.75 0.25 3.0 1.0986 7.50 2.7386 3.0070 95.8505 40 25 20 0.80 0.20 4.0 1.3863 4.00 2.0000 2.7726 80.0000 ________ Gretl output as suggested by you: gretl version 2026a Current session: 2026-03-15 16:49 ? series y = N/n_house Generated series y (ID 4) ? logistic y const X_inc Model 1: Logistic, using observations 1-10 Dependent variable: y yhat =~ E(100 / (1 + exp(-X*b))) coefficient std. error t-ratio p-value -------------------------------------------------------- const −2.95413 0.107181 −27.56 3.24e-09 *** X_inc −0.0399131 0.00463646 −8.609 2.57e-05 *** Statistics based on the transformed data: Sum squared resid 0.217306 S.E. of regression 0.164813 R-squared 0.902566 Adjusted R-squared 0.890387 F(1, 8) 74.10703 P-value(F) 0.000026 Log-likelihood 4.955783 Akaike criterion −5.911567 Schwarz criterion −5.306396 Hannan-Quinn −6.575437 Statistics based on the original data: Mean dependent var 2.528896 S.D. dependent var 1.283018 Sum squared resid 9.461319 S.E. of regression 1.087504