The model starts with 33 degrees of freedom and then consecutively increases the degrees of freedom to 39, at which point the response is modeled with only the intercept. The model parameters are obtained progressively by dropping one predictor variable.
predictor | estimate | std_error | z_score | p_value | significance |
---|---|---|---|---|---|
(Intercept) | 1.07751 | 2.92076 | 0.368914 | 0.712192 | |
masters.no | 2.21655 | 1.01999 | 2.17311 | 0.0297719 | * |
gpa | -0.113935 | 0.802573 | -0.141962 | 0.88711 | |
stats.Novice | 0.0406848 | 1.11567 | 0.0364667 | 0.97091 | |
stats.Beginner | 0.526618 | 1.2229 | 0.430631 | 0.666736 | |
programming.Beginner | -1.76976 | 1.069 | -1.65553 | 0.0978177 | . |
programming.Novice | -0.98035 | 1.14004 | -0.859923 | 0.389831 | |
ITERATIONS # | 4 | 0 | 0 | 0 | Number of Fisher Scoring iterations |
ROWS # | 40 | 0 | 0 | 0 | Number of rows |
Residual deviance | 38.9038 | 0 | 0 | 0 | on 33 degrees of freedom |
Pearson goodness of fit | 37.7905 | 0 | 0 | 0 | on 33 degrees of freedom |
AIC | 52.9038 | 0 | 0 | 0 | Akaike information criterion |
BIC | 64.726 | 0 | 0 | 0 | Bayesian information criterion |
Wald Test | 9.89642 | 0 | 0 | 0.19452 | |
Dispersion parameter | 1 | 0 | 0 | 0 | Taken to be 1 for BINOMIAL and POISSON. |
.... | .... | .... | .... | .... | .... |
Residual deviance | 44.7694 | 0 | 0 | 0 | on 34 degrees of freedom |
Pearson goodness of fit | 39.895 | 0 | 0 | 0 | on 34 degrees of freedom |
AIC | 56.7694 | 0 | 0 | 0 | Akaike information criterion |
BIC | 66.9027 | 0 | 0 | 0 | Bayesian information criterion |
.... | .... | .... | .... | .... | .... |
Residual deviance | 41.8984 | 0 | 0 | 0 | on 35 degrees of freedom |
Pearson goodness of fit | 41.8616 | 0 | 0 | 0 | on 35 degrees of freedom |
AIC | 51.8984 | 0 | 0 | 0 | Akaike information criterion |
BIC | 60.3428 | 0 | 0 | 0 | Bayesian information criterion |
... | .... | .... | .... | .... | .... |
Residual deviance | 39.1062 | 0 | 0 | 0 | on 36 degrees of freedom |
Pearson goodness of fit | 37.9515 | 0 | 0 | 0 | on 36 degrees of freedom |
AIC | 47.1062 | 0 | 0 | 0 | Akaike information criterion |
BIC | 53.8617 | 0 | 0 | 0 | Bayesian information criterion |
.... | .... | .... | .... | .... | .... |
Residual deviance | 45.6566 | 0 | 0 | 0 | on 37 degrees of freedom |
Pearson goodness of fit | 40 | 0 | 0 | 0 | on 37 degrees of freedom |
AIC | 51.6566 | 0 | 0 | 0 | Akaike information criterion |
BIC | 56.7232 | 0 | 0 | 0 | Bayesian information criterion |
... | .... | .... | .... | .... | .... |
Residual deviance | 42.8744 | 0 | 0 | 0 | on 38 degrees of freedom |
Pearson goodness of fit | 40 | 0 | 0 | 0 | on 38 degrees of freedom |
AIC | 46.8744 | 0 | 0 | 0 | Akaike information criterion |
BIC | 50.2522 | 0 | 0 | 0 | Bayesian information criterion |
.... | .... | .... | .... | .... | .... |
(Intercept) | 0.619039 | 0.331497 | 1.86741 | 0.0618448 | . |
ITERATIONS # | 3 | 0 | 0 | 0 | Number of Fisher Scoring iterations |
ROWS # | 40 | 0 | 0 | 0 | Number of rows |
Residual deviance | 51.7958 | 0 | 0 | 0 | on 39 degrees of freedom |
Pearson goodness of fit | 40 | 0 | 0 | 0 | on 39 degrees of freedom |
AIC | 53.7958 | 0 | 0 | 0 | Akaike information criterion |
BIC | 55.4847 | 0 | 0 | 0 | Bayesian information criterion |
Wald Test | 3.48721 | 0 | 0 | 0.0618447 | . |
Dispersion parameter | 1 | 0 | 0 | 0 | Taken to be 1 for BINOMIAL and POISSON. |
The query below returns the output shown in the following table:
SELECT * FROM glm_admissions_model1 ORDER BY attribute;
attribute | predictor | category | estimate | std_err | z_score | p_value | significance |
---|---|---|---|---|---|---|---|
-1 | Loglik | -20.9492 | 40 | 4 | 0 | ||
-1 | Loglik | -19.5493 | 40 | 4 | 0 | ||
-1 | Loglik | -19.4621 | 40 | 5 | 0 | ||
-1 | Loglik | -22.8283 | 40 | 2 | 0 | ||
-1 | Loglik | -19.4519 | 40 | 6 | 0 | ||
-1 | Loglik | -25.8979 | 40 | 0 | 0 | ||
-1 | Loglik | -21.4127 | 40 | 2 | 0 | ||
-1 | Loglik | -19.5531 | 40 | 3 | 0 | ||
-1 | Loglik | -22.3847 | 40 | 5 | 0 | ||
-1 | Loglik | -21.4372 | 40 | 1 | 0 | ||
-1 | Loglik | -22.8158 | 40 | 3 | 0 | ||
0 | (Intercept) | 1.07751 | 2.92076 | 0.368914 | 0.712192 | ||
0 | (Intercept) | 1.3463 | 2.81931 | 0.477529 | 0.632985 | ||
0 | (Intercept) | 0.676415 | 0.722718 | 0.935932 | 0.349308 | ||
0 | (Intercept) | 0.989811 | 2.90188 | 0.341094 | 0.733033 | ||
0 | (Intercept) | 0.666854 | 2.75228 | 0.242292 | 0.808554 | ||
0 | (Intercept) | 1.04008 | 2.7457 | 0.378802 | 0.704835 | ||
... | ... | ... | ... | ... | ... | ... | ... |