# Regression Analysis: Age and Sex Effects on EOHI-DGEN and EHI Domain

## EOHI-DGEN Models

### 1. Age Model (age_DGEN)

#### Model Results, AIC, and VIF

Age Model: EOHI-DGEN
| Dependent variable:
| EOHI-DGEN Mean
Age (centered) | -0.015
| (0.003)
| p = 0.00002***
Constant | 0.417
| (0.053)
| p = 0.000***
AIC | 4174.08
Max VIF | N/A
Observations | 1,061
R2 | 0.018
Adjusted R2 | 0.017
Residual Std. Error | 1.727 (df = 1059)
F Statistic | 19.407*** (df = 1; 1059)
Note: | *p<0.1; **p<0.05; ***p<0.01

#### Assumption Diagnostic Plots

#### Model Visualization

### 2. Sex Model (sex_DGEN)

#### Model Results, AIC, and VIF

Sex Model: EOHI-DGEN
| Dependent variable:
| EOHI-DGEN Mean
Sex (dummy) | 0.099
| (0.107)
| p = 0.355
Constant | 0.367
| (0.076)
| p = 0.00001***
AIC | 4192.48
Max VIF | N/A
Observations | 1,061
R2 | 0.001
Adjusted R2 | -0.0001
Residual Std. Error | 1.742 (df = 1059)
F Statistic | 0.859 (df = 1; 1059)
Note: | *p<0.1; **p<0.05; ***p<0.01

#### Assumption Diagnostic Plots

### 3. Interaction Model (interaction_DGEN)

#### Model Results, AIC, and VIF

Interaction Model: EOHI-DGEN
| Dependent variable:
| EOHI-DGEN Mean
Age (centered) | -0.018
| (0.005)
| p = 0.0004***
Sex (dummy) | 0.103
| (0.106)
| p = 0.331
Age x Sex | 0.006
| (0.007)
| p = 0.402
Constant | 0.364
| (0.075)
| p = 0.00001***
AIC | 4176.42
Max VIF | 2.22
Observations | 1,061
R2 | 0.020
Adjusted R2 | 0.017
Residual Std. Error | 1.727 (df = 1057)
F Statistic | 7.017*** (df = 3; 1057)
Note: | *p<0.1; **p<0.05; ***p<0.01

#### Assumption Diagnostic Plots

## EHI Domain Models

### 1. Age Model (age_domain)

#### Model Results, AIC, and VIF

Age Model: EHI Domain
| Dependent variable:
| EHI Domain Mean
Age (centered) | -0.007
| (0.001)
| p = 0.000***
Constant | 0.137
| (0.015)
| p = 0.000***
AIC | 1515.75
Max VIF | N/A
Observations | 1,061
R2 | 0.044
Adjusted R2 | 0.043
Residual Std. Error | 0.493 (df = 1059)
F Statistic | 49.178*** (df = 1; 1059)
Note: | *p<0.1; **p<0.05; ***p<0.01

#### Assumption Diagnostic Plots

#### Model Visualization

### 2. Sex Model (sex_domain)

#### Model Results, AIC, and VIF

Sex Model: EHI Domain
| Dependent variable:
| EHI Domain Mean
Sex (dummy) | 0.031
| (0.031)
| p = 0.311
Constant | 0.121
| (0.022)
| p = 0.00000***
AIC | 1562.88
Max VIF | N/A
Observations | 1,061
R2 | 0.001
Adjusted R2 | 0.00003
Residual Std. Error | 0.504 (df = 1059)
F Statistic | 1.029 (df = 1; 1059)
Note: | *p<0.1; **p<0.05; ***p<0.01

#### Assumption Diagnostic Plots

### 3. Interaction Model (interaction_domain)

#### Model Results, AIC, and VIF

Interaction Model: EHI Domain
| Dependent variable:
| EHI Domain Mean
Age (centered) | -0.006
| (0.001)
| p = 0.00001***
Sex (dummy) | 0.033
| (0.030)
| p = 0.274
Age x Sex | -0.0003
| (0.002)
| p = 0.883
Constant | 0.120
| (0.021)
| p = 0.00000***
AIC | 1518.52
Max VIF | 2.22
Observations | 1,061
R2 | 0.045
Adjusted R2 | 0.043
Residual Std. Error | 0.494 (df = 1057)
F Statistic | 16.789*** (df = 3; 1057)
Note: | *p<0.1; **p<0.05; ***p<0.01

#### Assumption Diagnostic Plots