# Statistical Test Result #188 — Analysis Report

Generated 2026-09-21 02:38:14 · 1 run(s) · CAT-G Data Analyzer

## 1. lmm (#188)

2026-09-21 02:16:46 · statistical_test · status: completed

*The lmm on value completed.*

| Metric | Value |
|---|---|
| formula | value ~ C(treatment) |
| converged | True |
| n_obs | 120 |
| n_groups | 40 |
| loglikelihood | -218.983513 |
| method | lmm |
| value_col | value |
| fixed_col | treatment |
| group_col | subject |
| significant | True |

### coefficients

| term | coef | se | z | p | ci_lower | ci_upper |
|---|---|---|---|---|---|---|
| Intercept | 9.628778 | 0.463804 | 20.760446 | 0.0 | 8.719739 | 10.537817 |
| C(treatment)[T.treated] | 3.54726 | 0.655918 | 5.408085 | 0.0 | 2.261684 | 4.832835 |
| Group Var | 4.093659 | 1.233466 | 3.318825 | 0.000904 | 1.676109 | 6.511208 |

![coef forest](data:image/png;base64,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)

*coef forest*

![fitted vs observed](data:image/png;base64,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)

*fitted vs observed*

![residuals vs fitted](data:image/png;base64,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)

*residuals vs fitted*

### Method & Provenance

- **Method:** Linear mixed-effects model (random intercept)
- **Engine:** Python · statsmodels 0.14.6
- **Input datasets:** gallery — example_lmm.csv
- **Started:** 2026-09-21 02:16:46.041991
- **Permanent link:** https://cat-g-omxpert.wishartlab.com/results/by-token/a59b0a0c337b4536a6b291f072aadf18

| Parameter | Value |
|---|---|
| test_type | lmm |
| value_col | value |
| group_col | subject |
| fixed_col | treatment |

**Command history**

```python
import statsmodels.formula.api as smf
```

```python
model = smf.mixedlm('value ~ fixed', data=df, groups=df['group_col'])
```

```python
fit = model.fit()
```
