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Primary Analysis: pma_at_first_oral_feeding vs time_to_fof

Analysis of pma_at_first_oral_feeding vs time_to_fof.

Unadjusted Model Results

Simple linear regression examining the direct relationship between pma_at_first_oral_feeding and time_to_fof.

Model diagnostics warning: High multicollinearity detected (condition number > 30). Residuals may not be normally distributed (p < 0.05).

Outcome: time_to_fof Predictor: pma_at_first_oral_feeding

                            OLS Regression Results                            
==============================================================================
Dep. Variable:            time_to_fof   R-squared:                       0.000
Model:                            OLS   Adj. R-squared:                 -0.004
Method:                 Least Squares   F-statistic:                  0.008884
Date:                Tue, 05 Aug 2025   Prob (F-statistic):              0.925
Time:                        04:28:07   Log-Likelihood:                -910.30
No. Observations:                 228   AIC:                             1825.
Df Residuals:                     226   BIC:                             1831.
Df Model:                           1                                         
Covariance Type:            nonrobust                                         
=============================================================================================
                                coef    std err          t      P>|t|      [0.025      0.975]
---------------------------------------------------------------------------------------------
const                        13.9631     20.322      0.687      0.493     -26.082      54.008
pma_at_first_oral_feeding     0.0557      0.591      0.094      0.925      -1.109       1.220
==============================================================================
Omnibus:                       56.850   Durbin-Watson:                   1.443
Prob(Omnibus):                  0.000   Jarque-Bera (JB):               99.661
Skew:                           1.316   Prob(JB):                     2.29e-22
Kurtosis:                       4.888   Cond. No.                         802.
==============================================================================

Notes:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.

Unadjusted Plot

Plot showing relationship between pma_at_first_oral_feeding and time_to_fof (LOESS with CI and OLS prediction).

pma_at_first_oral_feeding_vs_time_to_fof_unadjusted.png

Model Variables (Adjusted Analysis)

Outcome: time_to_fof Indep: pma_at_first_oral_feeding Gestational Age Var: gestational_age_weeks Confounders: ['gestational_age_weeks', 'birth_weight_grams', 'mechanical_ventilation', 'o2_device_at_36_weeks'] Covariates: ['medicalcomplexity']

Adjusted Model Results

Multiple regression examining the relationship between pma_at_first_oral_feeding and time_to_fof, controlling for gestational age and other potential confounders.

Model diagnostics warning: High multicollinearity detected (condition number > 30). Residuals may not be normally distributed (p < 0.05).

Outcome: time_to_fof Predictors: pma_at_first_oral_feeding, gestational_age_weeks, birth_weight_grams, mechanical_ventilation_no history of mechanical ventilation, o2_device_at_36_weeks_did NOT require respiratory support at 36 weeks, medicalcomplexity_Children with noncomplex chronic disease, medicalcomplexity_Children without chronic disease

                            OLS Regression Results                            
==============================================================================
Dep. Variable:            time_to_fof   R-squared:                       0.137
Model:                            OLS   Adj. R-squared:                  0.109
Method:                 Least Squares   F-statistic:                     4.978
Date:                Tue, 05 Aug 2025   Prob (F-statistic):           3.00e-05
Time:                        04:28:09   Log-Likelihood:                -893.54
No. Observations:                 228   AIC:                             1803.
Df Residuals:                     220   BIC:                             1831.
Df Model:                           7                                         
Covariance Type:            nonrobust                                         
=========================================================================================================================================
                                                                            coef    std err          t      P>|t|      [0.025      0.975]
-----------------------------------------------------------------------------------------------------------------------------------------
const                                                                    90.1802     26.873      3.356      0.001      37.219     143.142
pma_at_first_oral_feeding                                                -1.3018      0.619     -2.103      0.037      -2.522      -0.082
gestational_age_weeks                                                    -0.6582      0.806     -0.817      0.415      -2.246       0.930
birth_weight_grams                                                       -0.0033      0.004     -0.775      0.439      -0.012       0.005
mechanical_ventilation_no history of mechanical ventilation              -5.2261      2.045     -2.556      0.011      -9.256      -1.196
o2_device_at_36_weeks_did NOT require respiratory support at 36 weeks    -2.3154      2.160     -1.072      0.285      -6.572       1.942
medicalcomplexity_Children with noncomplex chronic disease               -1.1028      4.974     -0.222      0.825     -10.905       8.699
medicalcomplexity_Children without chronic disease                       -2.2645      3.915     -0.578      0.564      -9.979       5.450
==============================================================================
Omnibus:                       85.427   Durbin-Watson:                   1.649
Prob(Omnibus):                  0.000   Jarque-Bera (JB):              245.956
Skew:                           1.646   Prob(JB):                     3.90e-54
Kurtosis:                       6.880   Cond. No.                     4.23e+04
==============================================================================

Notes:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.
[2] The condition number is large, 4.23e+04. This might indicate that there are
strong multicollinearity or other numerical problems.

Adjusted Plot

Plot showing adjusted relationship between pma_at_first_oral_feeding and time_to_fof (LOESS with CI).

pma_at_first_oral_feeding_vs_time_to_fof_adjusted.png

Relationship Analysis

Adjusted plot shows relationship.